{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solving models with rational and floating point."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using [cobrapy](http://opencobra.github.io/cobrapy/) (version 0.4.0b1 or later), we have interfaces to serveral floating point solvers ([gurobi](http://www.gurobi.com), [MOSEK](http://www.mosek.com/), [CPLEX](http://www-01.ibm.com/software/commerce/optimization/cplex-optimizer/), [Clp](https://projects.coin-or.org/Clp), and two different versions of [GLPK](https://www.gnu.org/software/glpk/)). Additionally, we can use the rational solving capabilities of GLPK and esolver (also known as [QSopt_ex](http://www.dii.uchile.cl/~daespino/ESolver_doc/main.html)). We will use all of these solvers on all the models in the collection."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import os\n",
"\n",
"from numpy import array\n",
"import pandas\n",
"import sympy\n",
"\n",
"import cobra\n",
"\n",
"pandas.set_option(\"display.max_rows\", 100)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will verify all of our solutions by writing out the Stoichiometrix matrix $\\mathbf S$ using the [sympy](http://sympy.org/) symbolic math library. The total error will be equivalent to \n",
"$$ \\sum \\left|\\mathbf S \\cdot v \\right| $$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def convert_to_rational(value):\n",
" return sympy.Rational(\"%.15g\" % value)\n",
"\n",
"def construct_exact_S(model):\n",
" # intialize to 0\n",
" S = sympy.SparseMatrix(len(model.metabolites), len(model.reactions), 0)\n",
" # populate with stoichiometry\n",
" for i, r in enumerate(model.reactions):\n",
" for met, value in r._metabolites.iteritems():\n",
" S[model.metabolites.index(met), i] = convert_to_rational(value)\n",
" return S\n",
"\n",
"def total_error(S, v):\n",
" return sum(abs(i) for i in S * v)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some of these models were exported from [BiGG](http://bigg.ucsd.edu/bigg/export.pl) as SBML, and others were downloaded from their respective publications. All of the models are available in a [git repository](https://github.com/opencobra/m_model_collection). They were parsed into a single mat file by an [included script](load_models.ipynb)."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"models = []\n",
"for filename in sorted(os.listdir(\"sbml3\")):\n",
" if not filename.endswith(\".xml\"):\n",
" continue\n",
" models.append(cobra.io.read_sbml_model(os.path.join(\"sbml3\", filename)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These models all compute rationally with esolver and also with the other floating point solvers, as shown below. They also compute with floating point solvers in the [COBRA toolbox](http://dx.doi.org/doi:10.1038/nprot.2011.308), as shown [here](http://nbviewer.ipython.org/github/opencobra/m_model_collection/blob/master/MATLAB.ipynb)."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"results = {}\n",
"exact_results = {}\n",
"errors = {}\n",
"for m in models:\n",
" S = construct_exact_S(m)\n",
" S_float = m.to_array_based_model().S\n",
" rational_solution = m.optimize(solver=\"esolver\", rational_solution=True)\n",
" rational_v = sympy.Matrix(rational_solution.x)\n",
" exact_results[m.id] = {\"Rational\": rational_solution.f,\n",
" \"Decimal\": float(rational_solution.f),\n",
" \"Error\": total_error(S, rational_v),\n",
" # Ensure the upper and lwoer bounds are satisfied.\n",
" \"Bounds\": all([r.upper_bound >= value >= r.lower_bound\n",
" for r, value in zip(m.reactions, rational_v)])}\n",
" # solve this model with all the solvers\n",
" solutions = {solver: m.optimize(solver=solver)\n",
" for solver in cobra.solvers.solver_dict}\n",
" solutions[\"cglpk_exact\"] = m.optimize(solver=\"cglpk\", exact=True)\n",
" # store the objective value and errors\n",
" results[m.id] = {k: v.f for k, v in solutions.iteritems()}\n",
" errors[m.id] = {k: sum(abs(S_float * array(v.x))) for k, v in solutions.iteritems()}\n",
"# format the results as pandas dataframes\n",
"exact_results = pandas.DataFrame.from_dict(exact_results).T\n",
"results = pandas.DataFrame.from_dict(results)\n",
"errors = pandas.DataFrame.from_dict(errors)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For all of these models, we can demonstrate they satisfy the model constraints using exact operations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\\sum\\left|\\mathbf S \\cdot v\\right| = 0$$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"abs(exact_results.Error).max()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$ub \\ge v \\ge lb$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"exact_results.Bounds.all()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are objective values of the rational results provided by esolver:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
\n",
" \n",
" \n",
" | \n",
" Decimal | \n",
" Rational | \n",
"
\n",
" \n",
" \n",
" \n",
" AbyMBEL891 | \n",
" 119.233 | \n",
" 386664062500000/3242927908653 | \n",
"
\n",
" \n",
" AraGEM | \n",
" 10 | \n",
" 10 | \n",
"
\n",
" \n",
" GSMN_TB | \n",
" 0.1312623 | \n",
" 576559343750000/4392422515431629 | \n",
"
\n",
" \n",
" PpaMBEL1254 | \n",
" 78.70059 | \n",
" 4725000000000/60037666259 | \n",
"
\n",
" \n",
" PpuMBEL1071 | \n",
" 132.3654 | \n",
" 644062500000/4865793703 | \n",
"
\n",
" \n",
" STM_v1_0 | \n",
" 0.4778337 | \n",
" 178576000/373720009 | \n",
"
\n",
" \n",
" S_coilicolor_fixed | \n",
" 860.0888 | \n",
" 408741530000000000/475231759036371 | \n",
"
\n",
" \n",
" SpoMBEL1693 | \n",
" 63.78566 | \n",
" 1237500000000/19400913101 | \n",
"
\n",
" \n",
" T_Maritima | \n",
" 0.359469 | \n",
" 180000000/500738623 | \n",
"
\n",
" \n",
" VvuMBEL943 | \n",
" 96.40232 | \n",
" 14000000000/145224717 | \n",
"
\n",
" \n",
" iAC560 | \n",
" 4.042612 | \n",
" 35000000/8657769 | \n",
"
\n",
" \n",
" iAF1260 | \n",
" 0.7367009 | \n",
" 146888000/199386199 | \n",
"
\n",
" \n",
" iAF692 | \n",
" 0.02725005 | \n",
" 107424000/3942157643 | \n",
"
\n",
" \n",
" iAI549 | \n",
" 84.17419 | \n",
" 114000000000/1354334333 | \n",
"
\n",
" \n",
" iAN840m | \n",
" 0.3401361 | \n",
" 50/147 | \n",
"
\n",
" \n",
" iAO358 | \n",
" 255.1805 | \n",
" 586000000000/2296413281 | \n",
"
\n",
" \n",
" iAbaylyiV4 | \n",
" 12.30655 | \n",
" 34263125839313509122373268880000000/2784138406... | \n",
"
\n",
" \n",
" iBT721_fixed | \n",
" 0.5 | \n",
" 1/2 | \n",
"
\n",
" \n",
" iBsu1103 | \n",
" 1229.657 | \n",
" 1687500000000000/1372333638281 | \n",
"
\n",
" \n",
" iCA1273 | \n",
" 0.7402418 | \n",
" 293776000/396864911 | \n",
"
\n",
" \n",
" iCB925 | \n",
" 0.1194276 | \n",
" 1614000000/13514458561 | \n",
"
\n",
" \n",
" iCR744 | \n",
" 41.47674 | \n",
" 179687500000/4332247261 | \n",
"
\n",
" \n",
" iCS291 | \n",
" 0.1405489 | \n",
" 38125/271258 | \n",
"
\n",
" \n",
" iCS400 | \n",
" 0.215639 | \n",
" 63750/295633 | \n",
"
\n",
" \n",
" iCac802 | \n",
" 0.209597 | \n",
" 99830000000/476294907501 | \n",
"
\n",
" \n",
" iFF708 | \n",
" 14.91711 | \n",
" 113942000000/7638344959 | \n",
"
\n",
" \n",
" iGB555_fixed | \n",
" 127.7891 | \n",
" 142500000000000/1115118722693 | \n",
"
\n",
" \n",
" iHD666_fixed | \n",
" 0.2556721 | \n",
" 163316006250/638771297231 | \n",
"
\n",
" \n",
" iIB711 | \n",
" 84.68841 | \n",
" 100000000000/1180799053 | \n",
"
\n",
" \n",
" iIT341 | \n",
" 0.6928127 | \n",
" 814668000000/1175884921963 | \n",
"
\n",
" \n",
" iJL432 | \n",
" 0.3287407 | \n",
" 3750000000/11407166737 | \n",
"
\n",
" \n",
" iJN678 | \n",
" 0.06314984 | \n",
" 869550000000/13769631712373 | \n",
"
\n",
" \n",
" iJN746 | \n",
" 3.679412 | \n",
" 40000000/10871301 | \n",
"
\n",
" \n",
" iJO1366 | \n",
" 0.9823718 | \n",
" 189480000/192880127 | \n",
"
\n",
" \n",
" iJP815 | \n",
" 0.861512 | \n",
" 179500000/208354621 | \n",
"
\n",
" \n",
" iJR904 | \n",
" 0.9219481 | \n",
" 6380800/6920997 | \n",
"
\n",
" \n",
" iJS747 | \n",
" 34.17266 | \n",
" 15000000000000/438947370703 | \n",
"
\n",
" \n",
" iKF1028 | \n",
" 0.517807 | \n",
" 1900000/3669321 | \n",
"
\n",
" \n",
" iLC915 | \n",
" 79.02123 | \n",
" 786562500000000/9953812160053 | \n",
"
\n",
" \n",
" iLL672 | \n",
" 3.475283 | \n",
" 62750000000/18056084533 | \n",
"
\n",
" \n",
" iMA871 | \n",
" 27.79298 | \n",
" 100000000000/3598031369 | \n",
"
\n",
" \n",
" iMA945 | \n",
" 79.58958 | \n",
" 5000000000/62822291 | \n",
"
\n",
" \n",
" iMB745 | \n",
" 0.03094245 | \n",
" 161000000/5203208413 | \n",
"
\n",
" \n",
" iMH551 | \n",
" 0.7750811 | \n",
" 27300000000/35222122883 | \n",
"
\n",
" \n",
" iMM1415 | \n",
" 1.363428 | \n",
" 110000/80679 | \n",
"
\n",
" \n",
" iMM904 | \n",
" 0.2878657 | \n",
" 145400000/505096641 | \n",
"
\n",
" \n",
" iMO1056 | \n",
" 1.047929 | \n",
" 100000000/95426353 | \n",
"
\n",
" \n",
" iMP429_fixed | \n",
" 0.8044324 | \n",
" 7063000000/8780103713 | \n",
"
\n",
" \n",
" iND750 | \n",
" 0.09732338 | \n",
" 21000000/215775499 | \n",
"
\n",
" \n",
" iNJ661 | \n",
" 0.05219947 | \n",
" 894000/17126611 | \n",
"
\n",
" \n",
" iNJ661m | \n",
" 0.0521992 | \n",
" 107280000/2055203801 | \n",
"
\n",
" \n",
" iNV213 | \n",
" 11.53886 | \n",
" 12500000000000000/1083295987243349 | \n",
"
\n",
" \n",
" iOG654 | \n",
" 0.3554469 | \n",
" 12500/35167 | \n",
"
\n",
" \n",
" iOR363 | \n",
" 250 | \n",
" 250 | \n",
"
\n",
" \n",
" iPP668 | \n",
" 3.891474 | \n",
" 95000000/24412341 | \n",
"
\n",
" \n",
" iPS189_fixed | \n",
" 2.238961 | \n",
" 90000000/40197209 | \n",
"
\n",
" \n",
" iRC1080 | \n",
" 6.156851 | \n",
" 1000000000000000000000/162420679450988000257 | \n",
"
\n",
" \n",
" iRM588 | \n",
" 1000 | \n",
" 1000 | \n",
"
\n",
" \n",
" iRR1083 | \n",
" 77.94736 | \n",
" 1250000000/16036463 | \n",
"
\n",
" \n",
" iRS1563 | \n",
" 0.07996249 | \n",
" 16170000000000000000/202219826710707573821 | \n",
"
\n",
" \n",
" iRS1597 | \n",
" 8.969346 | \n",
" 37500000/4180907 | \n",
"
\n",
" \n",
" iRS605_fixed | \n",
" 2.11678 | \n",
" 2051250000/969042437 | \n",
"
\n",
" \n",
" iRsp1095 | \n",
" 9.686899 | \n",
" 1514600000000000000000000/15635550882015213602... | \n",
"
\n",
" \n",
" iSB619 | \n",
" 0.1580503 | \n",
" 10000/63271 | \n",
"
\n",
" \n",
" iSH335 | \n",
" 1.159211 | \n",
" 87700000000/75654904569 | \n",
"
\n",
" \n",
" iSO783 | \n",
" 17.92031 | \n",
" 100000000000/5580261343 | \n",
"
\n",
" \n",
" iSR432 | \n",
" 11.48257 | \n",
" 72500000000000000/6313917669853967 | \n",
"
\n",
" \n",
" iSS724 | \n",
" 22.42152 | \n",
" 5000/223 | \n",
"
\n",
" \n",
" iSS884 | \n",
" 70.35929 | \n",
" 7513000000000/106780503717 | \n",
"
\n",
" \n",
" iSyn669 | \n",
" 0.1790899 | \n",
" 6802000000/37980929237 | \n",
"
\n",
" \n",
" iTH366 | \n",
" 27890.89 | \n",
" 10741489258500000/385125386207 | \n",
"
\n",
" \n",
" iTL885 | \n",
" 7.098836 | \n",
" 697400000000/98241455449 | \n",
"
\n",
" \n",
" iTY425_fixed | \n",
" 0.8868335 | \n",
" 5000000/5638037 | \n",
"
\n",
" \n",
" iVM679 | \n",
" 2.82657 | \n",
" 26520000000/9382396471 | \n",
"
\n",
" \n",
" iVS941_fixed | \n",
" 0.5233846 | \n",
" 10000000/19106407 | \n",
"
\n",
" \n",
" iWV1314 | \n",
" 25.6824 | \n",
" 10504392200845731410/409011287584573141 | \n",
"
\n",
" \n",
" iWZ663 | \n",
" 34.07588 | \n",
" 350000000000/10271194511 | \n",
"
\n",
" \n",
" iYL1228 | \n",
" 1.042637 | \n",
" 1590492000/1525450603 | \n",
"
\n",
" \n",
" iYO844 | \n",
" 1.582798 | \n",
" 256250000000/161896806353 | \n",
"
\n",
" \n",
" iZM363 | \n",
" 2.532606 | \n",
" 181250000/71566597 | \n",
"
\n",
" \n",
" iZmobMBEL601 | \n",
" 0.3500804 | \n",
" 61718750/176298791 | \n",
"
\n",
" \n",
" mus_musculus | \n",
" 129.1006 | \n",
" 10000000/77459 | \n",
"
\n",
" \n",
" textbook | \n",
" 0.8739215 | \n",
" 686440/785471 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Decimal \\\n",
"AbyMBEL891 119.233 \n",
"AraGEM 10 \n",
"GSMN_TB 0.1312623 \n",
"PpaMBEL1254 78.70059 \n",
"PpuMBEL1071 132.3654 \n",
"STM_v1_0 0.4778337 \n",
"S_coilicolor_fixed 860.0888 \n",
"SpoMBEL1693 63.78566 \n",
"T_Maritima 0.359469 \n",
"VvuMBEL943 96.40232 \n",
"iAC560 4.042612 \n",
"iAF1260 0.7367009 \n",
"iAF692 0.02725005 \n",
"iAI549 84.17419 \n",
"iAN840m 0.3401361 \n",
"iAO358 255.1805 \n",
"iAbaylyiV4 12.30655 \n",
"iBT721_fixed 0.5 \n",
"iBsu1103 1229.657 \n",
"iCA1273 0.7402418 \n",
"iCB925 0.1194276 \n",
"iCR744 41.47674 \n",
"iCS291 0.1405489 \n",
"iCS400 0.215639 \n",
"iCac802 0.209597 \n",
"iFF708 14.91711 \n",
"iGB555_fixed 127.7891 \n",
"iHD666_fixed 0.2556721 \n",
"iIB711 84.68841 \n",
"iIT341 0.6928127 \n",
"iJL432 0.3287407 \n",
"iJN678 0.06314984 \n",
"iJN746 3.679412 \n",
"iJO1366 0.9823718 \n",
"iJP815 0.861512 \n",
"iJR904 0.9219481 \n",
"iJS747 34.17266 \n",
"iKF1028 0.517807 \n",
"iLC915 79.02123 \n",
"iLL672 3.475283 \n",
"iMA871 27.79298 \n",
"iMA945 79.58958 \n",
"iMB745 0.03094245 \n",
"iMH551 0.7750811 \n",
"iMM1415 1.363428 \n",
"iMM904 0.2878657 \n",
"iMO1056 1.047929 \n",
"iMP429_fixed 0.8044324 \n",
"iND750 0.09732338 \n",
"iNJ661 0.05219947 \n",
"iNJ661m 0.0521992 \n",
"iNV213 11.53886 \n",
"iOG654 0.3554469 \n",
"iOR363 250 \n",
"iPP668 3.891474 \n",
"iPS189_fixed 2.238961 \n",
"iRC1080 6.156851 \n",
"iRM588 1000 \n",
"iRR1083 77.94736 \n",
"iRS1563 0.07996249 \n",
"iRS1597 8.969346 \n",
"iRS605_fixed 2.11678 \n",
"iRsp1095 9.686899 \n",
"iSB619 0.1580503 \n",
"iSH335 1.159211 \n",
"iSO783 17.92031 \n",
"iSR432 11.48257 \n",
"iSS724 22.42152 \n",
"iSS884 70.35929 \n",
"iSyn669 0.1790899 \n",
"iTH366 27890.89 \n",
"iTL885 7.098836 \n",
"iTY425_fixed 0.8868335 \n",
"iVM679 2.82657 \n",
"iVS941_fixed 0.5233846 \n",
"iWV1314 25.6824 \n",
"iWZ663 34.07588 \n",
"iYL1228 1.042637 \n",
"iYO844 1.582798 \n",
"iZM363 2.532606 \n",
"iZmobMBEL601 0.3500804 \n",
"mus_musculus 129.1006 \n",
"textbook 0.8739215 \n",
"\n",
" Rational \n",
"AbyMBEL891 386664062500000/3242927908653 \n",
"AraGEM 10 \n",
"GSMN_TB 576559343750000/4392422515431629 \n",
"PpaMBEL1254 4725000000000/60037666259 \n",
"PpuMBEL1071 644062500000/4865793703 \n",
"STM_v1_0 178576000/373720009 \n",
"S_coilicolor_fixed 408741530000000000/475231759036371 \n",
"SpoMBEL1693 1237500000000/19400913101 \n",
"T_Maritima 180000000/500738623 \n",
"VvuMBEL943 14000000000/145224717 \n",
"iAC560 35000000/8657769 \n",
"iAF1260 146888000/199386199 \n",
"iAF692 107424000/3942157643 \n",
"iAI549 114000000000/1354334333 \n",
"iAN840m 50/147 \n",
"iAO358 586000000000/2296413281 \n",
"iAbaylyiV4 34263125839313509122373268880000000/2784138406... \n",
"iBT721_fixed 1/2 \n",
"iBsu1103 1687500000000000/1372333638281 \n",
"iCA1273 293776000/396864911 \n",
"iCB925 1614000000/13514458561 \n",
"iCR744 179687500000/4332247261 \n",
"iCS291 38125/271258 \n",
"iCS400 63750/295633 \n",
"iCac802 99830000000/476294907501 \n",
"iFF708 113942000000/7638344959 \n",
"iGB555_fixed 142500000000000/1115118722693 \n",
"iHD666_fixed 163316006250/638771297231 \n",
"iIB711 100000000000/1180799053 \n",
"iIT341 814668000000/1175884921963 \n",
"iJL432 3750000000/11407166737 \n",
"iJN678 869550000000/13769631712373 \n",
"iJN746 40000000/10871301 \n",
"iJO1366 189480000/192880127 \n",
"iJP815 179500000/208354621 \n",
"iJR904 6380800/6920997 \n",
"iJS747 15000000000000/438947370703 \n",
"iKF1028 1900000/3669321 \n",
"iLC915 786562500000000/9953812160053 \n",
"iLL672 62750000000/18056084533 \n",
"iMA871 100000000000/3598031369 \n",
"iMA945 5000000000/62822291 \n",
"iMB745 161000000/5203208413 \n",
"iMH551 27300000000/35222122883 \n",
"iMM1415 110000/80679 \n",
"iMM904 145400000/505096641 \n",
"iMO1056 100000000/95426353 \n",
"iMP429_fixed 7063000000/8780103713 \n",
"iND750 21000000/215775499 \n",
"iNJ661 894000/17126611 \n",
"iNJ661m 107280000/2055203801 \n",
"iNV213 12500000000000000/1083295987243349 \n",
"iOG654 12500/35167 \n",
"iOR363 250 \n",
"iPP668 95000000/24412341 \n",
"iPS189_fixed 90000000/40197209 \n",
"iRC1080 1000000000000000000000/162420679450988000257 \n",
"iRM588 1000 \n",
"iRR1083 1250000000/16036463 \n",
"iRS1563 16170000000000000000/202219826710707573821 \n",
"iRS1597 37500000/4180907 \n",
"iRS605_fixed 2051250000/969042437 \n",
"iRsp1095 1514600000000000000000000/15635550882015213602... \n",
"iSB619 10000/63271 \n",
"iSH335 87700000000/75654904569 \n",
"iSO783 100000000000/5580261343 \n",
"iSR432 72500000000000000/6313917669853967 \n",
"iSS724 5000/223 \n",
"iSS884 7513000000000/106780503717 \n",
"iSyn669 6802000000/37980929237 \n",
"iTH366 10741489258500000/385125386207 \n",
"iTL885 697400000000/98241455449 \n",
"iTY425_fixed 5000000/5638037 \n",
"iVM679 26520000000/9382396471 \n",
"iVS941_fixed 10000000/19106407 \n",
"iWV1314 10504392200845731410/409011287584573141 \n",
"iWZ663 350000000000/10271194511 \n",
"iYL1228 1590492000/1525450603 \n",
"iYO844 256250000000/161896806353 \n",
"iZM363 181250000/71566597 \n",
"iZmobMBEL601 61718750/176298791 \n",
"mus_musculus 10000000/77459 \n",
"textbook 686440/785471 "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"exact_results[[\"Decimal\", \"Rational\"]]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is the $\\sum\\left|\\mathbf S \\cdot v\\right|$ error computed using floating point operations for every solver. When computed rationally with esolver above, this value was exactly 0. Howver, when rounding the fractional values to floating point, there is a very small amount of resulting error, so even esolver does not give 0 error for this computation."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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" \n",
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" \n",
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" \n",
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" \n",
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" \n",
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" 1.898222e-13 | \n",
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" 7.058789e-14 | \n",
" 1.260632e-11 | \n",
" 1.055401e-11 | \n",
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" \n",
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" 6.812400e-12 | \n",
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\n",
" \n",
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" 1.892854e-11 | \n",
" 8.302095e-12 | \n",
" 3.028083e-11 | \n",
"
\n",
" \n",
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" 2.778296e-11 | \n",
" 1.746997e-11 | \n",
" 3.751388e-12 | \n",
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" 1.167770e-11 | \n",
"
\n",
" \n",
" iIB711 | \n",
" 8.816919e-12 | \n",
" 9.826012e-12 | \n",
" 2.293666e-11 | \n",
" 2.186360e-11 | \n",
" 1.150156e-11 | \n",
" 1.309052e-11 | \n",
" 1.211514e-11 | \n",
" 2.583597e-11 | \n",
"
\n",
" \n",
" iIT341 | \n",
" 1.014080e-09 | \n",
" 1.807772e-09 | \n",
" 5.907021e-09 | \n",
" 8.119830e-10 | \n",
" 2.710340e-10 | \n",
" 1.470638e-09 | \n",
" 5.405914e-09 | \n",
" 7.601729e-09 | \n",
"
\n",
" \n",
" iJL432 | \n",
" 1.174412e-12 | \n",
" 3.901074e-13 | \n",
" 1.789826e-12 | \n",
" 3.963390e-13 | \n",
" 3.900797e-13 | \n",
" 7.603562e-13 | \n",
" 4.689371e-12 | \n",
" 3.737990e-12 | \n",
"
\n",
" \n",
" iJN678 | \n",
" 2.398464e-14 | \n",
" 2.797895e-10 | \n",
" 1.930007e-14 | \n",
" 1.396985e-14 | \n",
" 2.238604e-14 | \n",
" 2.488953e-14 | \n",
" 7.036177e-12 | \n",
" 5.716085e-12 | \n",
"
\n",
" \n",
" iJN746 | \n",
" 5.745402e-09 | \n",
" 1.309358e-08 | \n",
" 9.719125e-09 | \n",
" 3.280881e-09 | \n",
" 2.846633e-09 | \n",
" 4.145871e-09 | \n",
" 8.716805e-09 | \n",
" 1.037925e-08 | \n",
"
\n",
" \n",
" iJO1366 | \n",
" 3.229136e-12 | \n",
" 2.352308e-09 | \n",
" 1.235567e-11 | \n",
" 5.307026e-12 | \n",
" 8.026430e-13 | \n",
" 4.692354e-12 | \n",
" 9.259564e-12 | \n",
" 1.267621e-11 | \n",
"
\n",
" \n",
" iJP815 | \n",
" 1.020123e-09 | \n",
" 7.944625e-10 | \n",
" 3.420634e-09 | \n",
" 1.550045e-08 | \n",
" 7.528140e-10 | \n",
" 1.367096e-09 | \n",
" 1.359488e-08 | \n",
" 5.964099e-09 | \n",
"
\n",
" \n",
" iJR904 | \n",
" 1.099850e-09 | \n",
" 3.218263e-09 | \n",
" 4.340962e-09 | \n",
" 6.192079e-10 | \n",
" 1.427380e-10 | \n",
" 1.365733e-09 | \n",
" 6.213569e-09 | \n",
" 1.420731e-08 | \n",
"
\n",
" \n",
" iJS747 | \n",
" 7.176808e-12 | \n",
" 3.632675e-07 | \n",
" 9.697313e-12 | \n",
" 9.643009e-12 | \n",
" 3.800987e-12 | \n",
" 4.923902e-12 | \n",
" 5.578066e-12 | \n",
" 8.495003e-12 | \n",
"
\n",
" \n",
" iKF1028 | \n",
" 4.410775e-09 | \n",
" 2.512140e-09 | \n",
" 3.931006e-09 | \n",
" 4.556265e-09 | \n",
" 1.713361e-09 | \n",
" 4.626908e-09 | \n",
" 1.043391e-08 | \n",
" 1.115077e-08 | \n",
"
\n",
" \n",
" iLC915 | \n",
" 8.942108e-12 | \n",
" 5.859216e-12 | \n",
" 2.288417e-11 | \n",
" 9.887922e-12 | \n",
" 6.807457e-12 | \n",
" 1.100345e-11 | \n",
" 1.760760e-11 | \n",
" 1.649339e-11 | \n",
"
\n",
" \n",
" iLL672 | \n",
" 7.130910e-12 | \n",
" 7.483421e-09 | \n",
" 3.135656e-11 | \n",
" 7.181390e-12 | \n",
" 5.127530e-12 | \n",
" 1.080215e-11 | \n",
" 5.221250e-12 | \n",
" 1.864336e-11 | \n",
"
\n",
" \n",
" iMA871 | \n",
" 8.159995e-12 | \n",
" 4.129003e-12 | \n",
" 3.886357e-11 | \n",
" 9.557480e-12 | \n",
" 4.393495e-12 | \n",
" 7.955587e-12 | \n",
" 1.248793e-11 | \n",
" 2.376854e-11 | \n",
"
\n",
" \n",
" iMA945 | \n",
" 1.398577e-11 | \n",
" 1.241593e-11 | \n",
" 6.318794e-10 | \n",
" 1.253969e-11 | \n",
" 7.349408e-12 | \n",
" 9.134488e-12 | \n",
" 2.082624e-11 | \n",
" 1.493498e-11 | \n",
"
\n",
" \n",
" iMB745 | \n",
" 5.070478e-12 | \n",
" 4.316394e-12 | \n",
" 3.264610e-11 | \n",
" 6.657764e-12 | \n",
" 3.221213e-12 | \n",
" 5.698374e-12 | \n",
" 1.078196e-11 | \n",
" 1.047325e-10 | \n",
"
\n",
" \n",
" iMH551 | \n",
" 2.251095e-12 | \n",
" 1.368655e-12 | \n",
" 1.658942e-11 | \n",
" 1.702092e-12 | \n",
" 1.852061e-12 | \n",
" 2.130895e-12 | \n",
" 7.064203e-12 | \n",
" 1.524475e-11 | \n",
"
\n",
" \n",
" iMM1415 | \n",
" 1.248012e-09 | \n",
" 6.982713e-10 | \n",
" 3.418482e-09 | \n",
" 8.552331e-10 | \n",
" 6.642941e-10 | \n",
" 1.483438e-09 | \n",
" 2.067248e-09 | \n",
" 5.278308e-09 | \n",
"
\n",
" \n",
" iMM904 | \n",
" 3.595750e-09 | \n",
" 3.644007e-09 | \n",
" 8.308698e-09 | \n",
" 2.982506e-09 | \n",
" 1.531252e-09 | \n",
" 4.619449e-09 | \n",
" 7.938743e-09 | \n",
" 1.828506e-08 | \n",
"
\n",
" \n",
" iMO1056 | \n",
" 4.451167e-12 | \n",
" 4.065560e-09 | \n",
" 5.216133e-12 | \n",
" 2.091337e-12 | \n",
" 2.158161e-12 | \n",
" 4.592567e-12 | \n",
" 7.587645e-12 | \n",
" 1.088813e-11 | \n",
"
\n",
" \n",
" iMP429_fixed | \n",
" 1.037411e-12 | \n",
" 6.876871e-13 | \n",
" 2.242258e-12 | \n",
" 5.857062e-13 | \n",
" 1.149136e-12 | \n",
" 1.776228e-12 | \n",
" 6.084059e-12 | \n",
" 9.247175e-12 | \n",
"
\n",
" \n",
" iND750 | \n",
" 2.859207e-09 | \n",
" 2.514810e-09 | \n",
" 5.778406e-09 | \n",
" 8.041428e-09 | \n",
" 2.058405e-09 | \n",
" 3.681656e-09 | \n",
" 7.571422e-09 | \n",
" 1.155155e-08 | \n",
"
\n",
" \n",
" iNJ661 | \n",
" 4.577143e-09 | \n",
" 4.961898e-09 | \n",
" 6.366734e-09 | \n",
" 3.712113e-09 | \n",
" 3.654260e-09 | \n",
" 4.502374e-09 | \n",
" 1.052895e-08 | \n",
" 1.091361e-08 | \n",
"
\n",
" \n",
" iNJ661m | \n",
" 4.915935e-12 | \n",
" 1.054765e-11 | \n",
" 1.969559e-11 | \n",
" 1.044025e-07 | \n",
" 2.524202e-12 | \n",
" 5.219989e-07 | \n",
" 4.698032e-07 | \n",
" 1.416549e-11 | \n",
"
\n",
" \n",
" iNV213 | \n",
" 4.984638e-12 | \n",
" 2.831209e-07 | \n",
" 1.319748e-11 | \n",
" 4.020673e-12 | \n",
" 1.957150e-12 | \n",
" 3.845659e-12 | \n",
" 6.196237e-12 | \n",
" 8.082979e-12 | \n",
"
\n",
" \n",
" iOG654 | \n",
" 9.605928e-12 | \n",
" 6.018975e-12 | \n",
" 2.579665e-11 | \n",
" 6.017891e-12 | \n",
" 9.601608e-12 | \n",
" 1.360856e-11 | \n",
" 1.486815e-11 | \n",
" 2.803368e-11 | \n",
"
\n",
" \n",
" iOR363 | \n",
" 2.717474e-12 | \n",
" 0.000000e+00 | \n",
" 3.817827e-11 | \n",
" 2.046363e-12 | \n",
" 0.000000e+00 | \n",
" 4.687704e-12 | \n",
" 3.893774e-12 | \n",
" 4.926430e-12 | \n",
"
\n",
" \n",
" iPP668 | \n",
" 5.361779e-12 | \n",
" 2.598573e-12 | \n",
" 1.432983e-11 | \n",
" 1.154974e-12 | \n",
" 1.613025e-12 | \n",
" 4.027082e-12 | \n",
" 3.367375e-12 | \n",
" 1.306011e-11 | \n",
"
\n",
" \n",
" iPS189_fixed | \n",
" 4.986594e-13 | \n",
" 2.228602e-09 | \n",
" 6.076497e-13 | \n",
" 6.313791e-13 | \n",
" 2.516057e-13 | \n",
" 8.629994e-13 | \n",
" 1.503601e-11 | \n",
" 3.438656e-12 | \n",
"
\n",
" \n",
" iRC1080 | \n",
" 1.212713e-11 | \n",
" 5.622330e-08 | \n",
" 2.998578e-11 | \n",
" 1.227949e-11 | \n",
" 5.134023e-12 | \n",
" 1.027390e-11 | \n",
" 3.109267e-11 | \n",
" 3.641264e-11 | \n",
"
\n",
" \n",
" iRM588 | \n",
" 4.377281e-10 | \n",
" 6.098593e-06 | \n",
" 9.950361e-10 | \n",
" 3.434693e-10 | \n",
" 2.256777e-10 | \n",
" 7.210925e-10 | \n",
" 8.615869e-10 | \n",
" 7.823844e-10 | \n",
"
\n",
" \n",
" iRR1083 | \n",
" 8.190296e-12 | \n",
" 1.242195e-06 | \n",
" 2.693539e-11 | \n",
" 1.105927e-11 | \n",
" 5.338382e-12 | \n",
" 9.888460e-12 | \n",
" 1.179566e-11 | \n",
" 1.757284e-11 | \n",
"
\n",
" \n",
" iRS1563 | \n",
" 2.844885e-12 | \n",
" 2.288953e-12 | \n",
" 1.005008e-11 | \n",
" 4.673761e-12 | \n",
" 1.709565e-12 | \n",
" 3.843955e-12 | \n",
" 1.646831e-11 | \n",
" 1.570177e-11 | \n",
"
\n",
" \n",
" iRS1597 | \n",
" 2.635014e-12 | \n",
" 3.367490e-12 | \n",
" 1.371104e-11 | \n",
" 3.210002e-12 | \n",
" 1.169068e-12 | \n",
" 1.140946e-12 | \n",
" 1.451179e-11 | \n",
" 5.307929e-12 | \n",
"
\n",
" \n",
" iRS605_fixed | \n",
" 5.301002e-12 | \n",
" 5.221034e-12 | \n",
" 1.443769e-11 | \n",
" 8.543278e-12 | \n",
" 4.211766e-12 | \n",
" 4.851140e-12 | \n",
" 1.006191e-11 | \n",
" 1.255027e-11 | \n",
"
\n",
" \n",
" iRsp1095 | \n",
" 4.771094e-12 | \n",
" 1.286166e-07 | \n",
" 1.499878e-11 | \n",
" 5.990567e-12 | \n",
" 5.702781e-12 | \n",
" 5.757338e-12 | \n",
" 1.136189e-11 | \n",
" 3.360485e-11 | \n",
"
\n",
" \n",
" iSB619 | \n",
" 6.677286e-10 | \n",
" 2.461952e-10 | \n",
" 6.072867e-10 | \n",
" 2.292188e-11 | \n",
" 2.877589e-11 | \n",
" 1.436060e-10 | \n",
" 6.720453e-09 | \n",
" 1.817552e-08 | \n",
"
\n",
" \n",
" iSH335 | \n",
" 8.608735e-13 | \n",
" 7.918396e-13 | \n",
" 1.719772e-11 | \n",
" 2.412978e-13 | \n",
" 1.354082e-12 | \n",
" 7.116117e-13 | \n",
" 4.743332e-12 | \n",
" 5.824515e-12 | \n",
"
\n",
" \n",
" iSO783 | \n",
" 9.201850e-12 | \n",
" 2.860468e-10 | \n",
" 3.880035e-11 | \n",
" 2.266519e-11 | \n",
" 5.511215e-12 | \n",
" 1.131129e-11 | \n",
" 1.612790e-11 | \n",
" 1.880562e-11 | \n",
"
\n",
" \n",
" iSR432 | \n",
" 5.763678e-12 | \n",
" 2.818245e-07 | \n",
" 1.616559e-11 | \n",
" 5.417731e-12 | \n",
" 5.851002e-12 | \n",
" 4.656121e-12 | \n",
" 1.018306e-11 | \n",
" 1.522397e-11 | \n",
"
\n",
" \n",
" iSS724 | \n",
" 1.263471e-11 | \n",
" 1.255100e-11 | \n",
" 5.174531e-11 | \n",
" 1.577047e-11 | \n",
" 9.879180e-12 | \n",
" 1.510881e-11 | \n",
" 2.661788e-11 | \n",
" 4.044156e-10 | \n",
"
\n",
" \n",
" iSS884 | \n",
" 1.354254e-11 | \n",
" 9.174448e-12 | \n",
" 2.825013e-11 | \n",
" 6.639951e-12 | \n",
" 8.284437e-12 | \n",
" 9.998729e-12 | \n",
" 3.226585e-11 | \n",
" 2.586860e-11 | \n",
"
\n",
" \n",
" iSyn669 | \n",
" 8.127297e-11 | \n",
" 1.040794e-10 | \n",
" 1.415821e-10 | \n",
" 6.030044e-11 | \n",
" 2.003912e-11 | \n",
" 3.519071e-11 | \n",
" 1.160358e-10 | \n",
" 1.517444e-10 | \n",
"
\n",
" \n",
" iTH366 | \n",
" 4.467643e-09 | \n",
" 6.915386e-09 | \n",
" 1.450880e-08 | \n",
" 4.967946e-09 | \n",
" 4.431032e-09 | \n",
" 8.734066e-09 | \n",
" 1.281431e-08 | \n",
" 2.244135e-08 | \n",
"
\n",
" \n",
" iTL885 | \n",
" 7.174270e-12 | \n",
" 7.233351e-12 | \n",
" 1.081575e-11 | \n",
" 7.574101e-12 | \n",
" 2.522095e-12 | \n",
" 3.749231e-12 | \n",
" 9.384046e-12 | \n",
" 2.773719e-11 | \n",
"
\n",
" \n",
" iTY425_fixed | \n",
" 1.357132e-12 | \n",
" 6.821528e-13 | \n",
" 3.765527e-12 | \n",
" 1.813959e-12 | \n",
" 9.112030e-13 | \n",
" 1.091689e-12 | \n",
" 5.685786e-12 | \n",
" 1.324586e-11 | \n",
"
\n",
" \n",
" iVM679 | \n",
" 5.441300e-12 | \n",
" 3.543573e-09 | \n",
" 1.112015e-11 | \n",
" 1.859461e-11 | \n",
" 2.503111e-12 | \n",
" 2.679210e-12 | \n",
" 1.226340e-11 | \n",
" 8.445926e-12 | \n",
"
\n",
" \n",
" iVS941_fixed | \n",
" 5.781317e-12 | \n",
" 3.985063e-12 | \n",
" 2.889106e-11 | \n",
" 4.555880e-12 | \n",
" 4.109086e-12 | \n",
" 3.148214e-12 | \n",
" 8.170712e-12 | \n",
" 5.949118e-12 | \n",
"
\n",
" \n",
" iWV1314 | \n",
" 8.397096e-12 | \n",
" 9.542499e-12 | \n",
" 4.617399e-11 | \n",
" 1.552834e-11 | \n",
" 7.278331e-12 | \n",
" 9.208338e-12 | \n",
" 1.366008e-11 | \n",
" 1.755370e-11 | \n",
"
\n",
" \n",
" iWZ663 | \n",
" 7.253877e-12 | \n",
" 3.519589e-08 | \n",
" 4.027807e-11 | \n",
" 8.397005e-12 | \n",
" 5.308528e-12 | \n",
" 4.786052e-12 | \n",
" 1.215181e-11 | \n",
" 1.217298e-11 | \n",
"
\n",
" \n",
" iYL1228 | \n",
" 3.579303e-12 | \n",
" 5.812428e-10 | \n",
" 6.740615e-12 | \n",
" 1.638551e-12 | \n",
" 6.258599e-13 | \n",
" 1.245614e-12 | \n",
" 9.171871e-12 | \n",
" 1.130580e-11 | \n",
"
\n",
" \n",
" iYO844 | \n",
" 6.749347e-12 | \n",
" 1.459393e-08 | \n",
" 5.658764e-12 | \n",
" 1.799575e-12 | \n",
" 1.478164e-12 | \n",
" 1.119653e-12 | \n",
" 6.888139e-12 | \n",
" 2.063596e-11 | \n",
"
\n",
" \n",
" iZM363 | \n",
" 5.369345e-12 | \n",
" 5.353776e-12 | \n",
" 1.529245e-11 | \n",
" 7.623997e-12 | \n",
" 4.478320e-12 | \n",
" 5.519462e-12 | \n",
" 8.284732e-12 | \n",
" 1.405405e-11 | \n",
"
\n",
" \n",
" iZmobMBEL601 | \n",
" 1.672617e-12 | \n",
" 1.524215e-12 | \n",
" 4.595579e-12 | \n",
" 2.783999e-12 | \n",
" 4.085307e-13 | \n",
" 1.355290e-12 | \n",
" 6.795329e-12 | \n",
" 6.571501e-12 | \n",
"
\n",
" \n",
" mus_musculus | \n",
" 9.798615e-12 | \n",
" 4.947154e-12 | \n",
" 2.169150e-11 | \n",
" 6.331269e-12 | \n",
" 4.835687e-12 | \n",
" 8.265638e-12 | \n",
" 1.813938e-11 | \n",
" 1.927275e-11 | \n",
"
\n",
" \n",
" textbook | \n",
" 7.371881e-14 | \n",
" 2.203700e-09 | \n",
" 2.109380e-13 | \n",
" 5.417888e-14 | \n",
" 4.862777e-14 | \n",
" 8.348877e-14 | \n",
" 1.268388e-09 | \n",
" 2.745516e-09 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" cglpk cglpk_exact coin cplex \\\n",
"AbyMBEL891 1.030879e-11 6.538390e-12 3.057219e-11 1.652062e-11 \n",
"AraGEM 4.518242e-12 3.761263e-12 4.350840e-11 1.031621e-11 \n",
"GSMN_TB 3.265029e-10 1.438631e-10 4.422610e-10 1.794655e-09 \n",
"PpaMBEL1254 5.524246e-12 5.503863e-12 1.686022e-11 1.653475e-11 \n",
"PpuMBEL1071 9.213515e-12 1.006636e-07 2.682011e-11 6.212253e-12 \n",
"STM_v1_0 2.442772e-12 7.615986e-09 1.558550e-09 6.747805e-13 \n",
"S_coilicolor_fixed 6.094508e-11 3.403941e-11 1.417303e-10 5.070666e-11 \n",
"SpoMBEL1693 9.424184e-12 6.328653e-12 2.409888e-11 7.634511e-12 \n",
"T_Maritima 1.149696e-12 1.017970e-09 2.680799e-12 1.312999e-12 \n",
"VvuMBEL943 1.291556e-11 1.200139e-11 1.619902e-11 5.522043e-12 \n",
"iAC560 8.194865e-12 9.868076e-12 2.435742e-11 8.923992e-12 \n",
"iAF1260 1.781254e-09 1.946048e-09 5.678922e-09 1.214388e-09 \n",
"iAF692 3.386389e-09 2.220311e-09 8.946148e-09 1.759396e-08 \n",
"iAI549 1.612223e-11 9.931913e-12 4.028457e-11 2.568619e-11 \n",
"iAN840m 3.298200e-10 1.804508e-10 1.107875e-10 2.751869e-10 \n",
"iAO358 1.124310e-11 1.091583e-11 3.182512e-11 1.906676e-11 \n",
"iAbaylyiV4 2.977077e-12 3.012134e-12 8.290163e-12 5.293440e-12 \n",
"iBT721_fixed 6.197820e-12 3.083755e-12 4.031970e-11 1.364242e-12 \n",
"iBsu1103 2.972863e-10 6.526051e-06 7.303685e-10 3.339946e-10 \n",
"iCA1273 2.755569e-12 2.649891e-12 9.081865e-11 2.677644e-12 \n",
"iCB925 1.736274e-14 9.613512e-15 2.816809e-14 1.165951e-14 \n",
"iCR744 1.018664e-11 6.352933e-12 3.419470e-11 1.823183e-11 \n",
"iCS291 4.977130e-13 3.683998e-13 1.375014e-12 8.569881e-13 \n",
"iCS400 1.469269e-12 1.157699e-12 2.533241e-11 1.845843e-12 \n",
"iCac802 8.493680e-14 3.153588e-14 1.363077e-13 1.898222e-13 \n",
"iFF708 9.631808e-12 5.780962e-12 1.847612e-11 6.812400e-12 \n",
"iGB555_fixed 1.618755e-11 4.991450e-10 3.935196e-11 8.029397e-12 \n",
"iHD666_fixed 6.101243e-12 2.778296e-11 1.746997e-11 3.751388e-12 \n",
"iIB711 8.816919e-12 9.826012e-12 2.293666e-11 2.186360e-11 \n",
"iIT341 1.014080e-09 1.807772e-09 5.907021e-09 8.119830e-10 \n",
"iJL432 1.174412e-12 3.901074e-13 1.789826e-12 3.963390e-13 \n",
"iJN678 2.398464e-14 2.797895e-10 1.930007e-14 1.396985e-14 \n",
"iJN746 5.745402e-09 1.309358e-08 9.719125e-09 3.280881e-09 \n",
"iJO1366 3.229136e-12 2.352308e-09 1.235567e-11 5.307026e-12 \n",
"iJP815 1.020123e-09 7.944625e-10 3.420634e-09 1.550045e-08 \n",
"iJR904 1.099850e-09 3.218263e-09 4.340962e-09 6.192079e-10 \n",
"iJS747 7.176808e-12 3.632675e-07 9.697313e-12 9.643009e-12 \n",
"iKF1028 4.410775e-09 2.512140e-09 3.931006e-09 4.556265e-09 \n",
"iLC915 8.942108e-12 5.859216e-12 2.288417e-11 9.887922e-12 \n",
"iLL672 7.130910e-12 7.483421e-09 3.135656e-11 7.181390e-12 \n",
"iMA871 8.159995e-12 4.129003e-12 3.886357e-11 9.557480e-12 \n",
"iMA945 1.398577e-11 1.241593e-11 6.318794e-10 1.253969e-11 \n",
"iMB745 5.070478e-12 4.316394e-12 3.264610e-11 6.657764e-12 \n",
"iMH551 2.251095e-12 1.368655e-12 1.658942e-11 1.702092e-12 \n",
"iMM1415 1.248012e-09 6.982713e-10 3.418482e-09 8.552331e-10 \n",
"iMM904 3.595750e-09 3.644007e-09 8.308698e-09 2.982506e-09 \n",
"iMO1056 4.451167e-12 4.065560e-09 5.216133e-12 2.091337e-12 \n",
"iMP429_fixed 1.037411e-12 6.876871e-13 2.242258e-12 5.857062e-13 \n",
"iND750 2.859207e-09 2.514810e-09 5.778406e-09 8.041428e-09 \n",
"iNJ661 4.577143e-09 4.961898e-09 6.366734e-09 3.712113e-09 \n",
"iNJ661m 4.915935e-12 1.054765e-11 1.969559e-11 1.044025e-07 \n",
"iNV213 4.984638e-12 2.831209e-07 1.319748e-11 4.020673e-12 \n",
"iOG654 9.605928e-12 6.018975e-12 2.579665e-11 6.017891e-12 \n",
"iOR363 2.717474e-12 0.000000e+00 3.817827e-11 2.046363e-12 \n",
"iPP668 5.361779e-12 2.598573e-12 1.432983e-11 1.154974e-12 \n",
"iPS189_fixed 4.986594e-13 2.228602e-09 6.076497e-13 6.313791e-13 \n",
"iRC1080 1.212713e-11 5.622330e-08 2.998578e-11 1.227949e-11 \n",
"iRM588 4.377281e-10 6.098593e-06 9.950361e-10 3.434693e-10 \n",
"iRR1083 8.190296e-12 1.242195e-06 2.693539e-11 1.105927e-11 \n",
"iRS1563 2.844885e-12 2.288953e-12 1.005008e-11 4.673761e-12 \n",
"iRS1597 2.635014e-12 3.367490e-12 1.371104e-11 3.210002e-12 \n",
"iRS605_fixed 5.301002e-12 5.221034e-12 1.443769e-11 8.543278e-12 \n",
"iRsp1095 4.771094e-12 1.286166e-07 1.499878e-11 5.990567e-12 \n",
"iSB619 6.677286e-10 2.461952e-10 6.072867e-10 2.292188e-11 \n",
"iSH335 8.608735e-13 7.918396e-13 1.719772e-11 2.412978e-13 \n",
"iSO783 9.201850e-12 2.860468e-10 3.880035e-11 2.266519e-11 \n",
"iSR432 5.763678e-12 2.818245e-07 1.616559e-11 5.417731e-12 \n",
"iSS724 1.263471e-11 1.255100e-11 5.174531e-11 1.577047e-11 \n",
"iSS884 1.354254e-11 9.174448e-12 2.825013e-11 6.639951e-12 \n",
"iSyn669 8.127297e-11 1.040794e-10 1.415821e-10 6.030044e-11 \n",
"iTH366 4.467643e-09 6.915386e-09 1.450880e-08 4.967946e-09 \n",
"iTL885 7.174270e-12 7.233351e-12 1.081575e-11 7.574101e-12 \n",
"iTY425_fixed 1.357132e-12 6.821528e-13 3.765527e-12 1.813959e-12 \n",
"iVM679 5.441300e-12 3.543573e-09 1.112015e-11 1.859461e-11 \n",
"iVS941_fixed 5.781317e-12 3.985063e-12 2.889106e-11 4.555880e-12 \n",
"iWV1314 8.397096e-12 9.542499e-12 4.617399e-11 1.552834e-11 \n",
"iWZ663 7.253877e-12 3.519589e-08 4.027807e-11 8.397005e-12 \n",
"iYL1228 3.579303e-12 5.812428e-10 6.740615e-12 1.638551e-12 \n",
"iYO844 6.749347e-12 1.459393e-08 5.658764e-12 1.799575e-12 \n",
"iZM363 5.369345e-12 5.353776e-12 1.529245e-11 7.623997e-12 \n",
"iZmobMBEL601 1.672617e-12 1.524215e-12 4.595579e-12 2.783999e-12 \n",
"mus_musculus 9.798615e-12 4.947154e-12 2.169150e-11 6.331269e-12 \n",
"textbook 7.371881e-14 2.203700e-09 2.109380e-13 5.417888e-14 \n",
"\n",
" esolver glpk gurobi mosek \n",
"AbyMBEL891 6.093565e-12 1.168024e-11 2.098006e-11 1.866628e-11 \n",
"AraGEM 3.953687e-12 5.721206e-12 1.492412e-11 1.607253e-11 \n",
"GSMN_TB 1.318417e-10 1.580843e-07 2.451718e-09 1.055735e-09 \n",
"PpaMBEL1254 1.599098e-12 5.808043e-12 6.458234e-12 1.327733e-11 \n",
"PpuMBEL1071 5.611067e-12 6.928756e-12 1.996325e-11 1.154134e-11 \n",
"STM_v1_0 4.133462e-13 4.027310e-12 2.884140e-11 1.424397e-11 \n",
"S_coilicolor_fixed 3.497688e-11 4.686266e-11 5.399156e-11 2.215057e-10 \n",
"SpoMBEL1693 5.512237e-12 8.155074e-12 9.632115e-12 2.056227e-11 \n",
"T_Maritima 1.125577e-12 1.578348e-12 4.792797e-12 1.448889e-11 \n",
"VvuMBEL943 1.396693e-11 8.099037e-12 7.938761e-12 2.371747e-11 \n",
"iAC560 6.451882e-12 7.145092e-12 1.873765e-11 1.947821e-11 \n",
"iAF1260 8.198651e-10 7.152690e-09 9.012081e-09 1.764879e-08 \n",
"iAF692 1.963760e-09 1.222407e-09 8.575538e-09 1.040327e-08 \n",
"iAI549 1.368209e-11 1.323319e-11 1.541363e-11 2.428250e-11 \n",
"iAN840m 2.302759e-10 2.859458e-10 8.054293e-10 1.172849e-09 \n",
"iAO358 1.175427e-11 1.348169e-11 1.847833e-11 2.943036e-11 \n",
"iAbaylyiV4 6.227974e-12 4.977532e-12 1.004922e-11 1.594689e-11 \n",
"iBT721_fixed 2.629008e-12 4.273915e-12 3.751666e-12 1.984154e-11 \n",
"iBsu1103 2.010636e-10 3.242728e-10 5.418732e-10 8.971953e-10 \n",
"iCA1273 1.519041e-12 3.057492e-12 8.550924e-12 1.762628e-11 \n",
"iCB925 1.306301e-14 2.114921e-14 5.169930e-12 1.014086e-11 \n",
"iCR744 6.848318e-12 6.607602e-12 1.363850e-11 1.417687e-11 \n",
"iCS291 3.690381e-13 3.893899e-13 4.744788e-12 6.790318e-12 \n",
"iCS400 4.832384e-13 1.527389e-12 5.889844e-12 9.199558e-12 \n",
"iCac802 7.927829e-14 7.058789e-14 1.260632e-11 1.055401e-11 \n",
"iFF708 5.430347e-12 1.020766e-11 8.761480e-12 2.012872e-11 \n",
"iGB555_fixed 5.976067e-12 1.892854e-11 8.302095e-12 3.028083e-11 \n",
"iHD666_fixed 3.346992e-12 7.398641e-12 6.864509e-12 1.167770e-11 \n",
"iIB711 1.150156e-11 1.309052e-11 1.211514e-11 2.583597e-11 \n",
"iIT341 2.710340e-10 1.470638e-09 5.405914e-09 7.601729e-09 \n",
"iJL432 3.900797e-13 7.603562e-13 4.689371e-12 3.737990e-12 \n",
"iJN678 2.238604e-14 2.488953e-14 7.036177e-12 5.716085e-12 \n",
"iJN746 2.846633e-09 4.145871e-09 8.716805e-09 1.037925e-08 \n",
"iJO1366 8.026430e-13 4.692354e-12 9.259564e-12 1.267621e-11 \n",
"iJP815 7.528140e-10 1.367096e-09 1.359488e-08 5.964099e-09 \n",
"iJR904 1.427380e-10 1.365733e-09 6.213569e-09 1.420731e-08 \n",
"iJS747 3.800987e-12 4.923902e-12 5.578066e-12 8.495003e-12 \n",
"iKF1028 1.713361e-09 4.626908e-09 1.043391e-08 1.115077e-08 \n",
"iLC915 6.807457e-12 1.100345e-11 1.760760e-11 1.649339e-11 \n",
"iLL672 5.127530e-12 1.080215e-11 5.221250e-12 1.864336e-11 \n",
"iMA871 4.393495e-12 7.955587e-12 1.248793e-11 2.376854e-11 \n",
"iMA945 7.349408e-12 9.134488e-12 2.082624e-11 1.493498e-11 \n",
"iMB745 3.221213e-12 5.698374e-12 1.078196e-11 1.047325e-10 \n",
"iMH551 1.852061e-12 2.130895e-12 7.064203e-12 1.524475e-11 \n",
"iMM1415 6.642941e-10 1.483438e-09 2.067248e-09 5.278308e-09 \n",
"iMM904 1.531252e-09 4.619449e-09 7.938743e-09 1.828506e-08 \n",
"iMO1056 2.158161e-12 4.592567e-12 7.587645e-12 1.088813e-11 \n",
"iMP429_fixed 1.149136e-12 1.776228e-12 6.084059e-12 9.247175e-12 \n",
"iND750 2.058405e-09 3.681656e-09 7.571422e-09 1.155155e-08 \n",
"iNJ661 3.654260e-09 4.502374e-09 1.052895e-08 1.091361e-08 \n",
"iNJ661m 2.524202e-12 5.219989e-07 4.698032e-07 1.416549e-11 \n",
"iNV213 1.957150e-12 3.845659e-12 6.196237e-12 8.082979e-12 \n",
"iOG654 9.601608e-12 1.360856e-11 1.486815e-11 2.803368e-11 \n",
"iOR363 0.000000e+00 4.687704e-12 3.893774e-12 4.926430e-12 \n",
"iPP668 1.613025e-12 4.027082e-12 3.367375e-12 1.306011e-11 \n",
"iPS189_fixed 2.516057e-13 8.629994e-13 1.503601e-11 3.438656e-12 \n",
"iRC1080 5.134023e-12 1.027390e-11 3.109267e-11 3.641264e-11 \n",
"iRM588 2.256777e-10 7.210925e-10 8.615869e-10 7.823844e-10 \n",
"iRR1083 5.338382e-12 9.888460e-12 1.179566e-11 1.757284e-11 \n",
"iRS1563 1.709565e-12 3.843955e-12 1.646831e-11 1.570177e-11 \n",
"iRS1597 1.169068e-12 1.140946e-12 1.451179e-11 5.307929e-12 \n",
"iRS605_fixed 4.211766e-12 4.851140e-12 1.006191e-11 1.255027e-11 \n",
"iRsp1095 5.702781e-12 5.757338e-12 1.136189e-11 3.360485e-11 \n",
"iSB619 2.877589e-11 1.436060e-10 6.720453e-09 1.817552e-08 \n",
"iSH335 1.354082e-12 7.116117e-13 4.743332e-12 5.824515e-12 \n",
"iSO783 5.511215e-12 1.131129e-11 1.612790e-11 1.880562e-11 \n",
"iSR432 5.851002e-12 4.656121e-12 1.018306e-11 1.522397e-11 \n",
"iSS724 9.879180e-12 1.510881e-11 2.661788e-11 4.044156e-10 \n",
"iSS884 8.284437e-12 9.998729e-12 3.226585e-11 2.586860e-11 \n",
"iSyn669 2.003912e-11 3.519071e-11 1.160358e-10 1.517444e-10 \n",
"iTH366 4.431032e-09 8.734066e-09 1.281431e-08 2.244135e-08 \n",
"iTL885 2.522095e-12 3.749231e-12 9.384046e-12 2.773719e-11 \n",
"iTY425_fixed 9.112030e-13 1.091689e-12 5.685786e-12 1.324586e-11 \n",
"iVM679 2.503111e-12 2.679210e-12 1.226340e-11 8.445926e-12 \n",
"iVS941_fixed 4.109086e-12 3.148214e-12 8.170712e-12 5.949118e-12 \n",
"iWV1314 7.278331e-12 9.208338e-12 1.366008e-11 1.755370e-11 \n",
"iWZ663 5.308528e-12 4.786052e-12 1.215181e-11 1.217298e-11 \n",
"iYL1228 6.258599e-13 1.245614e-12 9.171871e-12 1.130580e-11 \n",
"iYO844 1.478164e-12 1.119653e-12 6.888139e-12 2.063596e-11 \n",
"iZM363 4.478320e-12 5.519462e-12 8.284732e-12 1.405405e-11 \n",
"iZmobMBEL601 4.085307e-13 1.355290e-12 6.795329e-12 6.571501e-12 \n",
"mus_musculus 4.835687e-12 8.265638e-12 1.813938e-11 1.927275e-11 \n",
"textbook 4.862777e-14 8.348877e-14 1.268388e-09 2.745516e-09 "
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"errors.T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here are all the computed biomass flux rates for each solver and model."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" cglpk | \n",
" cglpk_exact | \n",
" coin | \n",
" cplex | \n",
" esolver | \n",
" glpk | \n",
" gurobi | \n",
" mosek | \n",
"
\n",
" \n",
" \n",
" \n",
" AbyMBEL891 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
" 119.233012 | \n",
"
\n",
" \n",
" AraGEM | \n",
" 10.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
" 10.000000 | \n",
"
\n",
" \n",
" GSMN_TB | \n",
" 0.131262 | \n",
" 0.131262 | \n",
" 0.131262 | \n",
" 0.131262 | \n",
" 0.131262 | \n",
" 0.131262 | \n",
" 0.131262 | \n",
" 0.131262 | \n",
"
\n",
" \n",
" PpaMBEL1254 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
" 78.700594 | \n",
"
\n",
" \n",
" PpuMBEL1071 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
" 132.365353 | \n",
"
\n",
" \n",
" STM_v1_0 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
" 0.477834 | \n",
"
\n",
" \n",
" S_coilicolor_fixed | \n",
" 860.088835 | \n",
" 860.088835 | \n",
" 860.088835 | \n",
" 860.088835 | \n",
" 860.088835 | \n",
" 860.088835 | \n",
" 860.088835 | \n",
" 860.088835 | \n",
"
\n",
" \n",
" SpoMBEL1693 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
" 63.785658 | \n",
"
\n",
" \n",
" T_Maritima | \n",
" 0.359469 | \n",
" 0.359469 | \n",
" 0.359469 | \n",
" 0.359469 | \n",
" 0.359469 | \n",
" 0.359469 | \n",
" 0.359469 | \n",
" 0.359469 | \n",
"
\n",
" \n",
" VvuMBEL943 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
" 96.402322 | \n",
"
\n",
" \n",
" iAC560 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
" 4.042612 | \n",
"
\n",
" \n",
" iAF1260 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
" 0.736701 | \n",
"
\n",
" \n",
" iAF692 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
" 0.027250 | \n",
"
\n",
" \n",
" iAI549 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
" 84.174193 | \n",
"
\n",
" \n",
" iAN840m | \n",
" 0.340136 | \n",
" 0.340136 | \n",
" 0.340136 | \n",
" 0.340136 | \n",
" 0.340136 | \n",
" 0.340136 | \n",
" 0.340136 | \n",
" 0.340136 | \n",
"
\n",
" \n",
" iAO358 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
" 255.180548 | \n",
"
\n",
" \n",
" iAbaylyiV4 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
" 12.306545 | \n",
"
\n",
" \n",
" iBT721_fixed | \n",
" 0.500000 | \n",
" 0.500000 | \n",
" 0.500000 | \n",
" 0.500000 | \n",
" 0.500000 | \n",
" 0.500000 | \n",
" 0.500000 | \n",
" 0.500000 | \n",
"
\n",
" \n",
" iBsu1103 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
" 1229.657244 | \n",
"
\n",
" \n",
" iCA1273 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
" 0.740242 | \n",
"
\n",
" \n",
" iCB925 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
" 0.119428 | \n",
"
\n",
" \n",
" iCR744 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
" 41.476742 | \n",
"
\n",
" \n",
" iCS291 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
" 0.140549 | \n",
"
\n",
" \n",
" iCS400 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
" 0.215639 | \n",
"
\n",
" \n",
" iCac802 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
" 0.209597 | \n",
"
\n",
" \n",
" iFF708 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
" 14.917106 | \n",
"
\n",
" \n",
" iGB555_fixed | \n",
" 127.789084 | \n",
" 127.789084 | \n",
" 127.789084 | \n",
" 127.789084 | \n",
" 127.789084 | \n",
" 127.789084 | \n",
" 127.789084 | \n",
" 127.789084 | \n",
"
\n",
" \n",
" iHD666_fixed | \n",
" 0.255672 | \n",
" 0.255672 | \n",
" 0.255672 | \n",
" 0.255672 | \n",
" 0.255672 | \n",
" 0.255672 | \n",
" 0.255672 | \n",
" 0.255672 | \n",
"
\n",
" \n",
" iIB711 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
" 84.688415 | \n",
"
\n",
" \n",
" iIT341 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
" 0.692813 | \n",
"
\n",
" \n",
" iJL432 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
" 0.328741 | \n",
"
\n",
" \n",
" iJN678 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
" 0.063150 | \n",
"
\n",
" \n",
" iJN746 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
" 3.679412 | \n",
"
\n",
" \n",
" iJO1366 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
" 0.982372 | \n",
"
\n",
" \n",
" iJP815 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
" 0.861512 | \n",
"
\n",
" \n",
" iJR904 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
" 0.921948 | \n",
"
\n",
" \n",
" iJS747 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
" 34.172662 | \n",
"
\n",
" \n",
" iKF1028 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
" 0.517807 | \n",
"
\n",
" \n",
" iLC915 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
" 79.021232 | \n",
"
\n",
" \n",
" iLL672 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
" 3.475283 | \n",
"
\n",
" \n",
" iMA871 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
" 27.792976 | \n",
"
\n",
" \n",
" iMA945 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
" 79.589584 | \n",
"
\n",
" \n",
" iMB745 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
" 0.030942 | \n",
"
\n",
" \n",
" iMH551 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
" 0.775081 | \n",
"
\n",
" \n",
" iMM1415 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
" 1.363428 | \n",
"
\n",
" \n",
" iMM904 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
" 0.287866 | \n",
"
\n",
" \n",
" iMO1056 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
" 1.047929 | \n",
"
\n",
" \n",
" iMP429_fixed | \n",
" 0.804432 | \n",
" 0.804432 | \n",
" 0.804432 | \n",
" 0.804432 | \n",
" 0.804432 | \n",
" 0.804432 | \n",
" 0.804432 | \n",
" 0.804432 | \n",
"
\n",
" \n",
" iND750 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
" 0.097323 | \n",
"
\n",
" \n",
" iNJ661 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
"
\n",
" \n",
" iNJ661m | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
" 0.052199 | \n",
"
\n",
" \n",
" iNV213 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
" 11.538859 | \n",
"
\n",
" \n",
" iOG654 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
" 0.355447 | \n",
"
\n",
" \n",
" iOR363 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
" 250.000000 | \n",
"
\n",
" \n",
" iPP668 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
" 3.891474 | \n",
"
\n",
" \n",
" iPS189_fixed | \n",
" 2.238961 | \n",
" 2.238961 | \n",
" 2.238961 | \n",
" 2.238961 | \n",
" 2.238961 | \n",
" 2.238961 | \n",
" 2.238961 | \n",
" 2.238961 | \n",
"
\n",
" \n",
" iRC1080 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
" 6.156851 | \n",
"
\n",
" \n",
" iRM588 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
" 1000.000000 | \n",
"
\n",
" \n",
" iRR1083 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
" 77.947363 | \n",
"
\n",
" \n",
" iRS1563 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
" 0.079962 | \n",
"
\n",
" \n",
" iRS1597 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
" 8.969346 | \n",
"
\n",
" \n",
" iRS605_fixed | \n",
" 2.116780 | \n",
" 2.116780 | \n",
" 2.116780 | \n",
" 2.116780 | \n",
" 2.116780 | \n",
" 2.116780 | \n",
" 2.116780 | \n",
" 2.116780 | \n",
"
\n",
" \n",
" iRsp1095 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
" 9.686899 | \n",
"
\n",
" \n",
" iSB619 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
" 0.158050 | \n",
"
\n",
" \n",
" iSH335 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
" 1.159211 | \n",
"
\n",
" \n",
" iSO783 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
" 17.920308 | \n",
"
\n",
" \n",
" iSR432 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
" 11.482570 | \n",
"
\n",
" \n",
" iSS724 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
" 22.421525 | \n",
"
\n",
" \n",
" iSS884 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
" 70.359286 | \n",
"
\n",
" \n",
" iSyn669 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
" 0.179090 | \n",
"
\n",
" \n",
" iTH366 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
" 27890.888638 | \n",
"
\n",
" \n",
" iTL885 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
" 7.098836 | \n",
"
\n",
" \n",
" iTY425_fixed | \n",
" 0.886833 | \n",
" 0.886833 | \n",
" 0.886833 | \n",
" 0.886833 | \n",
" 0.886833 | \n",
" 0.886833 | \n",
" 0.886833 | \n",
" 0.886833 | \n",
"
\n",
" \n",
" iVM679 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
" 2.826570 | \n",
"
\n",
" \n",
" iVS941_fixed | \n",
" 0.523385 | \n",
" 0.523385 | \n",
" 0.523385 | \n",
" 0.523385 | \n",
" 0.523385 | \n",
" 0.523385 | \n",
" 0.523385 | \n",
" 0.523385 | \n",
"
\n",
" \n",
" iWV1314 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
" 25.682402 | \n",
"
\n",
" \n",
" iWZ663 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
" 34.075881 | \n",
"
\n",
" \n",
" iYL1228 | \n",
" 1.042637 | \n",
" 1.042637 | \n",
" 1.042638 | \n",
" 1.042637 | \n",
" 1.042637 | \n",
" 1.042637 | \n",
" 1.042637 | \n",
" 1.042637 | \n",
"
\n",
" \n",
" iYO844 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
" 1.582798 | \n",
"
\n",
" \n",
" iZM363 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
" 2.532606 | \n",
"
\n",
" \n",
" iZmobMBEL601 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
" 0.350080 | \n",
"
\n",
" \n",
" mus_musculus | \n",
" 129.100556 | \n",
" 129.100556 | \n",
" 129.100556 | \n",
" 129.100556 | \n",
" 129.100556 | \n",
" 129.100556 | \n",
" 129.100556 | \n",
" 129.100556 | \n",
"
\n",
" \n",
" textbook | \n",
" 0.873922 | \n",
" 0.873922 | \n",
" 0.873922 | \n",
" 0.873922 | \n",
" 0.873922 | \n",
" 0.873922 | \n",
" 0.873922 | \n",
" 0.873922 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" cglpk cglpk_exact coin cplex \\\n",
"AbyMBEL891 119.233012 119.233012 119.233012 119.233012 \n",
"AraGEM 10.000000 10.000000 10.000000 10.000000 \n",
"GSMN_TB 0.131262 0.131262 0.131262 0.131262 \n",
"PpaMBEL1254 78.700594 78.700594 78.700594 78.700594 \n",
"PpuMBEL1071 132.365353 132.365353 132.365353 132.365353 \n",
"STM_v1_0 0.477834 0.477834 0.477834 0.477834 \n",
"S_coilicolor_fixed 860.088835 860.088835 860.088835 860.088835 \n",
"SpoMBEL1693 63.785658 63.785658 63.785658 63.785658 \n",
"T_Maritima 0.359469 0.359469 0.359469 0.359469 \n",
"VvuMBEL943 96.402322 96.402322 96.402322 96.402322 \n",
"iAC560 4.042612 4.042612 4.042612 4.042612 \n",
"iAF1260 0.736701 0.736701 0.736701 0.736701 \n",
"iAF692 0.027250 0.027250 0.027250 0.027250 \n",
"iAI549 84.174193 84.174193 84.174193 84.174193 \n",
"iAN840m 0.340136 0.340136 0.340136 0.340136 \n",
"iAO358 255.180548 255.180548 255.180548 255.180548 \n",
"iAbaylyiV4 12.306545 12.306545 12.306545 12.306545 \n",
"iBT721_fixed 0.500000 0.500000 0.500000 0.500000 \n",
"iBsu1103 1229.657244 1229.657244 1229.657244 1229.657244 \n",
"iCA1273 0.740242 0.740242 0.740242 0.740242 \n",
"iCB925 0.119428 0.119428 0.119428 0.119428 \n",
"iCR744 41.476742 41.476742 41.476742 41.476742 \n",
"iCS291 0.140549 0.140549 0.140549 0.140549 \n",
"iCS400 0.215639 0.215639 0.215639 0.215639 \n",
"iCac802 0.209597 0.209597 0.209597 0.209597 \n",
"iFF708 14.917106 14.917106 14.917106 14.917106 \n",
"iGB555_fixed 127.789084 127.789084 127.789084 127.789084 \n",
"iHD666_fixed 0.255672 0.255672 0.255672 0.255672 \n",
"iIB711 84.688415 84.688415 84.688415 84.688415 \n",
"iIT341 0.692813 0.692813 0.692813 0.692813 \n",
"iJL432 0.328741 0.328741 0.328741 0.328741 \n",
"iJN678 0.063150 0.063150 0.063150 0.063150 \n",
"iJN746 3.679412 3.679412 3.679412 3.679412 \n",
"iJO1366 0.982372 0.982372 0.982372 0.982372 \n",
"iJP815 0.861512 0.861512 0.861512 0.861512 \n",
"iJR904 0.921948 0.921948 0.921948 0.921948 \n",
"iJS747 34.172662 34.172662 34.172662 34.172662 \n",
"iKF1028 0.517807 0.517807 0.517807 0.517807 \n",
"iLC915 79.021232 79.021232 79.021232 79.021232 \n",
"iLL672 3.475283 3.475283 3.475283 3.475283 \n",
"iMA871 27.792976 27.792976 27.792976 27.792976 \n",
"iMA945 79.589584 79.589584 79.589584 79.589584 \n",
"iMB745 0.030942 0.030942 0.030942 0.030942 \n",
"iMH551 0.775081 0.775081 0.775081 0.775081 \n",
"iMM1415 1.363428 1.363428 1.363428 1.363428 \n",
"iMM904 0.287866 0.287866 0.287866 0.287866 \n",
"iMO1056 1.047929 1.047929 1.047929 1.047929 \n",
"iMP429_fixed 0.804432 0.804432 0.804432 0.804432 \n",
"iND750 0.097323 0.097323 0.097323 0.097323 \n",
"iNJ661 0.052199 0.052199 0.052199 0.052199 \n",
"iNJ661m 0.052199 0.052199 0.052199 0.052199 \n",
"iNV213 11.538859 11.538859 11.538859 11.538859 \n",
"iOG654 0.355447 0.355447 0.355447 0.355447 \n",
"iOR363 250.000000 250.000000 250.000000 250.000000 \n",
"iPP668 3.891474 3.891474 3.891474 3.891474 \n",
"iPS189_fixed 2.238961 2.238961 2.238961 2.238961 \n",
"iRC1080 6.156851 6.156851 6.156851 6.156851 \n",
"iRM588 1000.000000 1000.000000 1000.000000 1000.000000 \n",
"iRR1083 77.947363 77.947363 77.947363 77.947363 \n",
"iRS1563 0.079962 0.079962 0.079962 0.079962 \n",
"iRS1597 8.969346 8.969346 8.969346 8.969346 \n",
"iRS605_fixed 2.116780 2.116780 2.116780 2.116780 \n",
"iRsp1095 9.686899 9.686899 9.686899 9.686899 \n",
"iSB619 0.158050 0.158050 0.158050 0.158050 \n",
"iSH335 1.159211 1.159211 1.159211 1.159211 \n",
"iSO783 17.920308 17.920308 17.920308 17.920308 \n",
"iSR432 11.482570 11.482570 11.482570 11.482570 \n",
"iSS724 22.421525 22.421525 22.421525 22.421525 \n",
"iSS884 70.359286 70.359286 70.359286 70.359286 \n",
"iSyn669 0.179090 0.179090 0.179090 0.179090 \n",
"iTH366 27890.888638 27890.888638 27890.888638 27890.888638 \n",
"iTL885 7.098836 7.098836 7.098836 7.098836 \n",
"iTY425_fixed 0.886833 0.886833 0.886833 0.886833 \n",
"iVM679 2.826570 2.826570 2.826570 2.826570 \n",
"iVS941_fixed 0.523385 0.523385 0.523385 0.523385 \n",
"iWV1314 25.682402 25.682402 25.682402 25.682402 \n",
"iWZ663 34.075881 34.075881 34.075881 34.075881 \n",
"iYL1228 1.042637 1.042637 1.042638 1.042637 \n",
"iYO844 1.582798 1.582798 1.582798 1.582798 \n",
"iZM363 2.532606 2.532606 2.532606 2.532606 \n",
"iZmobMBEL601 0.350080 0.350080 0.350080 0.350080 \n",
"mus_musculus 129.100556 129.100556 129.100556 129.100556 \n",
"textbook 0.873922 0.873922 0.873922 0.873922 \n",
"\n",
" esolver glpk gurobi mosek \n",
"AbyMBEL891 119.233012 119.233012 119.233012 119.233012 \n",
"AraGEM 10.000000 10.000000 10.000000 10.000000 \n",
"GSMN_TB 0.131262 0.131262 0.131262 0.131262 \n",
"PpaMBEL1254 78.700594 78.700594 78.700594 78.700594 \n",
"PpuMBEL1071 132.365353 132.365353 132.365353 132.365353 \n",
"STM_v1_0 0.477834 0.477834 0.477834 0.477834 \n",
"S_coilicolor_fixed 860.088835 860.088835 860.088835 860.088835 \n",
"SpoMBEL1693 63.785658 63.785658 63.785658 63.785658 \n",
"T_Maritima 0.359469 0.359469 0.359469 0.359469 \n",
"VvuMBEL943 96.402322 96.402322 96.402322 96.402322 \n",
"iAC560 4.042612 4.042612 4.042612 4.042612 \n",
"iAF1260 0.736701 0.736701 0.736701 0.736701 \n",
"iAF692 0.027250 0.027250 0.027250 0.027250 \n",
"iAI549 84.174193 84.174193 84.174193 84.174193 \n",
"iAN840m 0.340136 0.340136 0.340136 0.340136 \n",
"iAO358 255.180548 255.180548 255.180548 255.180548 \n",
"iAbaylyiV4 12.306545 12.306545 12.306545 12.306545 \n",
"iBT721_fixed 0.500000 0.500000 0.500000 0.500000 \n",
"iBsu1103 1229.657244 1229.657244 1229.657244 1229.657244 \n",
"iCA1273 0.740242 0.740242 0.740242 0.740242 \n",
"iCB925 0.119428 0.119428 0.119428 0.119428 \n",
"iCR744 41.476742 41.476742 41.476742 41.476742 \n",
"iCS291 0.140549 0.140549 0.140549 0.140549 \n",
"iCS400 0.215639 0.215639 0.215639 0.215639 \n",
"iCac802 0.209597 0.209597 0.209597 0.209597 \n",
"iFF708 14.917106 14.917106 14.917106 14.917106 \n",
"iGB555_fixed 127.789084 127.789084 127.789084 127.789084 \n",
"iHD666_fixed 0.255672 0.255672 0.255672 0.255672 \n",
"iIB711 84.688415 84.688415 84.688415 84.688415 \n",
"iIT341 0.692813 0.692813 0.692813 0.692813 \n",
"iJL432 0.328741 0.328741 0.328741 0.328741 \n",
"iJN678 0.063150 0.063150 0.063150 0.063150 \n",
"iJN746 3.679412 3.679412 3.679412 3.679412 \n",
"iJO1366 0.982372 0.982372 0.982372 0.982372 \n",
"iJP815 0.861512 0.861512 0.861512 0.861512 \n",
"iJR904 0.921948 0.921948 0.921948 0.921948 \n",
"iJS747 34.172662 34.172662 34.172662 34.172662 \n",
"iKF1028 0.517807 0.517807 0.517807 0.517807 \n",
"iLC915 79.021232 79.021232 79.021232 79.021232 \n",
"iLL672 3.475283 3.475283 3.475283 3.475283 \n",
"iMA871 27.792976 27.792976 27.792976 27.792976 \n",
"iMA945 79.589584 79.589584 79.589584 79.589584 \n",
"iMB745 0.030942 0.030942 0.030942 0.030942 \n",
"iMH551 0.775081 0.775081 0.775081 0.775081 \n",
"iMM1415 1.363428 1.363428 1.363428 1.363428 \n",
"iMM904 0.287866 0.287866 0.287866 0.287866 \n",
"iMO1056 1.047929 1.047929 1.047929 1.047929 \n",
"iMP429_fixed 0.804432 0.804432 0.804432 0.804432 \n",
"iND750 0.097323 0.097323 0.097323 0.097323 \n",
"iNJ661 0.052199 0.052199 0.052199 0.052199 \n",
"iNJ661m 0.052199 0.052199 0.052199 0.052199 \n",
"iNV213 11.538859 11.538859 11.538859 11.538859 \n",
"iOG654 0.355447 0.355447 0.355447 0.355447 \n",
"iOR363 250.000000 250.000000 250.000000 250.000000 \n",
"iPP668 3.891474 3.891474 3.891474 3.891474 \n",
"iPS189_fixed 2.238961 2.238961 2.238961 2.238961 \n",
"iRC1080 6.156851 6.156851 6.156851 6.156851 \n",
"iRM588 1000.000000 1000.000000 1000.000000 1000.000000 \n",
"iRR1083 77.947363 77.947363 77.947363 77.947363 \n",
"iRS1563 0.079962 0.079962 0.079962 0.079962 \n",
"iRS1597 8.969346 8.969346 8.969346 8.969346 \n",
"iRS605_fixed 2.116780 2.116780 2.116780 2.116780 \n",
"iRsp1095 9.686899 9.686899 9.686899 9.686899 \n",
"iSB619 0.158050 0.158050 0.158050 0.158050 \n",
"iSH335 1.159211 1.159211 1.159211 1.159211 \n",
"iSO783 17.920308 17.920308 17.920308 17.920308 \n",
"iSR432 11.482570 11.482570 11.482570 11.482570 \n",
"iSS724 22.421525 22.421525 22.421525 22.421525 \n",
"iSS884 70.359286 70.359286 70.359286 70.359286 \n",
"iSyn669 0.179090 0.179090 0.179090 0.179090 \n",
"iTH366 27890.888638 27890.888638 27890.888638 27890.888638 \n",
"iTL885 7.098836 7.098836 7.098836 7.098836 \n",
"iTY425_fixed 0.886833 0.886833 0.886833 0.886833 \n",
"iVM679 2.826570 2.826570 2.826570 2.826570 \n",
"iVS941_fixed 0.523385 0.523385 0.523385 0.523385 \n",
"iWV1314 25.682402 25.682402 25.682402 25.682402 \n",
"iWZ663 34.075881 34.075881 34.075881 34.075881 \n",
"iYL1228 1.042637 1.042637 1.042637 1.042637 \n",
"iYO844 1.582798 1.582798 1.582798 1.582798 \n",
"iZM363 2.532606 2.532606 2.532606 2.532606 \n",
"iZmobMBEL601 0.350080 0.350080 0.350080 0.350080 \n",
"mus_musculus 129.100556 129.100556 129.100556 129.100556 \n",
"textbook 0.873922 0.873922 0.873922 0.873922 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"results.T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The objectives computed for these solvers are effectively the same as those computed by esolver."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
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\n",
" \n",
" \n",
" | \n",
" cglpk | \n",
" cglpk_exact | \n",
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" cplex | \n",
" glpk | \n",
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\n",
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" -1.136868e-13 | \n",
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" -1.498801e-15 | \n",
" 1.086908e-13 | \n",
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\n",
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" 1.136868e-13 | \n",
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" 1.364242e-12 | \n",
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" -1.250555e-12 | \n",
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\n",
" \n",
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" 2.098943e-11 | \n",
" -1.421085e-14 | \n",
" 7.105427e-14 | \n",
" -2.842171e-14 | \n",
" -6.039613e-13 | \n",
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\n",
" \n",
" T_Maritima | \n",
" -3.214096e-14 | \n",
" 9.456913e-11 | \n",
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" 3.330669e-16 | \n",
" -2.114975e-14 | \n",
" -3.330669e-16 | \n",
" 8.437695e-14 | \n",
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\n",
" \n",
" VvuMBEL943 | \n",
" 1.421085e-14 | \n",
" 0.000000e+00 | \n",
" 1.922729e-11 | \n",
" 4.263256e-14 | \n",
" 4.263256e-14 | \n",
" 0.000000e+00 | \n",
" 1.563194e-13 | \n",
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\n",
" \n",
" iAC560 | \n",
" 2.664535e-15 | \n",
" 0.000000e+00 | \n",
" 8.553158e-13 | \n",
" 8.881784e-16 | \n",
" 0.000000e+00 | \n",
" 1.776357e-15 | \n",
" 1.421085e-14 | \n",
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\n",
" \n",
" iAF1260 | \n",
" 2.087197e-11 | \n",
" 0.000000e+00 | \n",
" 8.428154e-08 | \n",
" -2.066280e-11 | \n",
" 1.858336e-11 | \n",
" -1.196998e-11 | \n",
" 1.749767e-11 | \n",
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\n",
" \n",
" iAF692 | \n",
" -3.651770e-11 | \n",
" -2.846202e-11 | \n",
" 1.981591e-09 | \n",
" 6.965345e-09 | \n",
" -4.769716e-12 | \n",
" 2.617935e-09 | \n",
" -1.106832e-09 | \n",
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\n",
" \n",
" iAI549 | \n",
" -7.673862e-13 | \n",
" 0.000000e+00 | \n",
" 5.840661e-11 | \n",
" -5.826450e-13 | \n",
" 1.705303e-13 | \n",
" -1.236344e-12 | \n",
" 6.963319e-13 | \n",
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\n",
" \n",
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" 0.000000e+00 | \n",
" 1.872813e-08 | \n",
" -5.551115e-17 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
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\n",
" \n",
" iAO358 | \n",
" -8.526513e-14 | \n",
" 0.000000e+00 | \n",
" 1.497824e-11 | \n",
" -1.989520e-13 | \n",
" 2.842171e-14 | \n",
" -5.115908e-13 | \n",
" -5.684342e-14 | \n",
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\n",
" \n",
" iAbaylyiV4 | \n",
" 4.796163e-14 | \n",
" -1.776357e-15 | \n",
" 8.941647e-11 | \n",
" -1.776357e-15 | \n",
" 1.953993e-14 | \n",
" 1.065814e-14 | \n",
" -4.494183e-13 | \n",
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" 0.000000e+00 | \n",
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\n",
" \n",
" iBsu1103 | \n",
" -2.273737e-13 | \n",
" -2.653928e-08 | \n",
" 5.934453e-11 | \n",
" -1.136868e-12 | \n",
" 2.273737e-13 | \n",
" 0.000000e+00 | \n",
" 2.046363e-12 | \n",
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" \n",
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" -3.275158e-14 | \n",
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" 4.685141e-14 | \n",
" 5.406786e-14 | \n",
" -4.696243e-14 | \n",
" 2.265965e-13 | \n",
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\n",
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" 0.000000e+00 | \n",
" 2.920300e-11 | \n",
" -3.191891e-16 | \n",
" -1.942890e-16 | \n",
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\n",
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" -1.350031e-13 | \n",
" 1.705303e-13 | \n",
" 5.186962e-13 | \n",
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\n",
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" -3.608225e-16 | \n",
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\n",
" \n",
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" -1.026956e-15 | \n",
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" -1.110223e-16 | \n",
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" 0.000000e+00 | \n",
" 1.956768e-14 | \n",
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\n",
" \n",
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" 0.000000e+00 | \n",
" 9.617439e-09 | \n",
" -1.665335e-16 | \n",
" -1.249001e-15 | \n",
" 3.885781e-16 | \n",
" -3.314016e-14 | \n",
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\n",
" \n",
" iFF708 | \n",
" 1.776357e-15 | \n",
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" -4.263256e-14 | \n",
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\n",
" \n",
" iGB555_fixed | \n",
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\n",
" \n",
" iHD666_fixed | \n",
" 3.774758e-14 | \n",
" 9.730550e-13 | \n",
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" 4.718448e-15 | \n",
" -7.366330e-14 | \n",
" 3.164136e-15 | \n",
" -2.220446e-16 | \n",
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\n",
" \n",
" iIB711 | \n",
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" 2.015099e-11 | \n",
" 4.263256e-14 | \n",
" -2.842171e-14 | \n",
" -2.842171e-14 | \n",
" -1.421085e-14 | \n",
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\n",
" \n",
" iIT341 | \n",
" -1.129519e-11 | \n",
" 2.245907e-10 | \n",
" 6.851687e-08 | \n",
" -4.440892e-15 | \n",
" -1.403899e-11 | \n",
" -2.111644e-13 | \n",
" -6.530149e-10 | \n",
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\n",
" \n",
" iJL432 | \n",
" -1.554312e-14 | \n",
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" 4.104939e-12 | \n",
" -1.193490e-14 | \n",
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" 1.809664e-13 | \n",
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\n",
" \n",
" iJN678 | \n",
" -4.718448e-16 | \n",
" 2.856902e-11 | \n",
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" -1.082467e-15 | \n",
" -2.220446e-16 | \n",
" -2.775558e-17 | \n",
" 1.214445e-13 | \n",
"
\n",
" \n",
" iJN746 | \n",
" 1.231681e-10 | \n",
" 1.059390e-09 | \n",
" 2.485335e-08 | \n",
" 1.167688e-10 | \n",
" 7.149392e-11 | \n",
" -6.661338e-15 | \n",
" 1.743801e-10 | \n",
"
\n",
" \n",
" iJO1366 | \n",
" 4.973799e-14 | \n",
" 1.739909e-10 | \n",
" 1.544051e-07 | \n",
" 8.881784e-16 | \n",
" 5.107026e-14 | \n",
" -2.664535e-15 | \n",
" 5.774270e-13 | \n",
"
\n",
" \n",
" iJP815 | \n",
" 1.783040e-11 | \n",
" 0.000000e+00 | \n",
" 3.016005e-09 | \n",
" 2.160384e-10 | \n",
" 2.299161e-12 | \n",
" 3.759559e-11 | \n",
" 1.973555e-11 | \n",
"
\n",
" \n",
" iJR904 | \n",
" -3.364420e-12 | \n",
" 2.154040e-10 | \n",
" 1.404389e-07 | \n",
" 1.258993e-13 | \n",
" -3.852363e-11 | \n",
" 2.146194e-11 | \n",
" 3.302114e-11 | \n",
"
\n",
" \n",
" iJS747 | \n",
" -1.421085e-13 | \n",
" -9.758267e-09 | \n",
" 1.937650e-11 | \n",
" -5.186962e-13 | \n",
" 7.105427e-15 | \n",
" 0.000000e+00 | \n",
" -2.842171e-14 | \n",
"
\n",
" \n",
" iKF1028 | \n",
" -1.799028e-11 | \n",
" 0.000000e+00 | \n",
" 4.904080e-09 | \n",
" 5.995204e-15 | \n",
" -6.050105e-11 | \n",
" 6.877166e-11 | \n",
" -3.783374e-11 | \n",
"
\n",
" \n",
" iLC915 | \n",
" 2.103206e-12 | \n",
" 0.000000e+00 | \n",
" 1.007605e-08 | \n",
" -3.609557e-12 | \n",
" 3.211653e-12 | \n",
" 1.278977e-13 | \n",
" 2.231104e-11 | \n",
"
\n",
" \n",
" iLL672 | \n",
" 5.151435e-14 | \n",
" -3.967990e-10 | \n",
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" 3.019807e-14 | \n",
" 4.529710e-14 | \n",
" 4.440892e-16 | \n",
" -8.260059e-14 | \n",
"
\n",
" \n",
" iMA871 | \n",
" 0.000000e+00 | \n",
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" 2.038192e-11 | \n",
" -3.552714e-15 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" -1.065814e-14 | \n",
"
\n",
" \n",
" iMA945 | \n",
" 1.421085e-14 | \n",
" 0.000000e+00 | \n",
" 4.755066e-09 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 1.421085e-14 | \n",
" 9.947598e-14 | \n",
"
\n",
" \n",
" iMB745 | \n",
" 2.247508e-14 | \n",
" 0.000000e+00 | \n",
" 5.139368e-10 | \n",
" 4.757412e-10 | \n",
" -2.697495e-14 | \n",
" -2.733924e-15 | \n",
" -3.323893e-12 | \n",
"
\n",
" \n",
" iMH551 | \n",
" -4.263256e-14 | \n",
" 0.000000e+00 | \n",
" 2.145972e-11 | \n",
" 6.772360e-15 | \n",
" -2.420286e-14 | \n",
" 4.440892e-16 | \n",
" -2.721157e-13 | \n",
"
\n",
" \n",
" iMM1415 | \n",
" -2.347234e-12 | \n",
" 0.000000e+00 | \n",
" 1.605315e-08 | \n",
" 5.881740e-12 | \n",
" -1.929346e-11 | \n",
" -6.439294e-15 | \n",
" 1.410982e-11 | \n",
"
\n",
" \n",
" iMM904 | \n",
" 1.060230e-11 | \n",
" 0.000000e+00 | \n",
" 2.990649e-09 | \n",
" -9.992007e-15 | \n",
" -9.139328e-11 | \n",
" 1.054712e-15 | \n",
" -5.305936e-10 | \n",
"
\n",
" \n",
" iMO1056 | \n",
" -7.860379e-14 | \n",
" -6.367740e-10 | \n",
" 1.085125e-08 | \n",
" -1.287859e-14 | \n",
" 5.107026e-15 | \n",
" -2.664535e-15 | \n",
" -3.352874e-14 | \n",
"
\n",
" \n",
" iMP429_fixed | \n",
" 2.293721e-13 | \n",
" 0.000000e+00 | \n",
" 1.916863e-10 | \n",
" -2.886580e-15 | \n",
" 1.887379e-15 | \n",
" -1.443290e-15 | \n",
" -3.357314e-13 | \n",
"
\n",
" \n",
" iND750 | \n",
" -2.235294e-10 | \n",
" 3.722161e-13 | \n",
" 4.941149e-08 | \n",
" -1.627079e-10 | \n",
" 3.478570e-11 | \n",
" 2.220446e-16 | \n",
" -2.592769e-10 | \n",
"
\n",
" \n",
" iNJ661 | \n",
" -5.478381e-11 | \n",
" -1.366268e-14 | \n",
" 6.874230e-10 | \n",
" 1.412759e-14 | \n",
" -1.110825e-11 | \n",
" -2.481532e-10 | \n",
" -3.497474e-10 | \n",
"
\n",
" \n",
" iNJ661m | \n",
" 7.542578e-15 | \n",
" -1.365574e-14 | \n",
" 1.140270e-08 | \n",
" 7.253811e-08 | \n",
" 1.649386e-07 | \n",
" 1.528997e-07 | \n",
" -2.329942e-13 | \n",
"
\n",
" \n",
" iNV213 | \n",
" 8.881784e-15 | \n",
" -8.495142e-10 | \n",
" 1.006306e-11 | \n",
" 0.000000e+00 | \n",
" -8.881784e-15 | \n",
" 3.552714e-15 | \n",
" -2.486900e-14 | \n",
"
\n",
" \n",
" iOG654 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" iOR363 | \n",
" 2.842171e-14 | \n",
" 0.000000e+00 | \n",
" 6.735945e-12 | \n",
" -5.684342e-14 | \n",
" -5.684342e-14 | \n",
" -2.842171e-14 | \n",
" 2.842171e-14 | \n",
"
\n",
" \n",
" iPP668 | \n",
" -3.552714e-15 | \n",
" 0.000000e+00 | \n",
" 1.800928e-10 | \n",
" 4.440892e-16 | \n",
" 3.597123e-14 | \n",
" -7.549517e-15 | \n",
" -7.238654e-14 | \n",
"
\n",
" \n",
" iPS189_fixed | \n",
" 2.353673e-14 | \n",
" -1.108655e-10 | \n",
" 9.894308e-12 | \n",
" 7.549517e-15 | \n",
" 9.015011e-14 | \n",
" 3.108624e-15 | \n",
" 1.656453e-13 | \n",
"
\n",
" \n",
" iRC1080 | \n",
" -1.341149e-13 | \n",
" 9.275872e-09 | \n",
" 7.015366e-11 | \n",
" 5.062617e-13 | \n",
" 4.121148e-13 | \n",
" 6.838974e-14 | \n",
" -1.287859e-13 | \n",
"
\n",
" \n",
" iRM588 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" iRR1083 | \n",
" 0.000000e+00 | \n",
" 1.977781e-08 | \n",
" 1.978151e-10 | \n",
" 0.000000e+00 | \n",
" -2.842171e-14 | \n",
" 0.000000e+00 | \n",
" -2.842171e-14 | \n",
"
\n",
" \n",
" iRS1563 | \n",
" 6.800116e-16 | \n",
" 0.000000e+00 | \n",
" 9.173981e-12 | \n",
" -4.163336e-16 | \n",
" 5.967449e-16 | \n",
" -9.478529e-15 | \n",
" -8.118506e-15 | \n",
"
\n",
" \n",
" iRS1597 | \n",
" 3.552714e-15 | \n",
" 0.000000e+00 | \n",
" 9.791457e-11 | \n",
" -8.881784e-15 | \n",
" 5.329071e-15 | \n",
" -2.842171e-14 | \n",
" -2.842171e-14 | \n",
"
\n",
" \n",
" iRS605_fixed | \n",
" 1.199041e-14 | \n",
" 0.000000e+00 | \n",
" 4.111211e-09 | \n",
" -2.975398e-14 | \n",
" -3.996803e-15 | \n",
" 3.552714e-15 | \n",
" -1.865175e-14 | \n",
"
\n",
" \n",
" iRsp1095 | \n",
" -1.065814e-14 | \n",
" 1.172156e-09 | \n",
" 2.692957e-11 | \n",
" -5.151435e-14 | \n",
" 1.421085e-14 | \n",
" -2.131628e-14 | \n",
" -8.526513e-14 | \n",
"
\n",
" \n",
" iSB619 | \n",
" -3.088640e-13 | \n",
" 0.000000e+00 | \n",
" 9.349807e-11 | \n",
" 4.496403e-15 | \n",
" -1.181277e-13 | \n",
" 1.437739e-14 | \n",
" 9.064693e-13 | \n",
"
\n",
" \n",
" iSH335 | \n",
" 3.552714e-15 | \n",
" 0.000000e+00 | \n",
" 9.279755e-11 | \n",
" 4.662937e-15 | \n",
" -1.620926e-14 | \n",
" -2.664535e-15 | \n",
" 4.016787e-13 | \n",
"
\n",
" \n",
" iSO783 | \n",
" 0.000000e+00 | \n",
" -3.318235e-12 | \n",
" 7.798739e-10 | \n",
" -5.684342e-14 | \n",
" 1.776357e-14 | \n",
" 0.000000e+00 | \n",
" 3.552714e-15 | \n",
"
\n",
" \n",
" iSR432 | \n",
" -3.019807e-14 | \n",
" -1.671046e-09 | \n",
" 4.089173e-12 | \n",
" -2.167155e-13 | \n",
" 5.151435e-14 | \n",
" -2.593481e-13 | \n",
" -3.552714e-13 | \n",
"
\n",
" \n",
" iSS724 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 4.753531e-12 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" iSS884 | \n",
" 1.421085e-13 | \n",
" 0.000000e+00 | \n",
" 6.156000e-10 | \n",
" -1.563194e-13 | \n",
" 7.105427e-14 | \n",
" -5.684342e-14 | \n",
" -1.847411e-13 | \n",
"
\n",
" \n",
" iSyn669 | \n",
" -6.186440e-13 | \n",
" -1.463274e-12 | \n",
" 6.855544e-12 | \n",
" -5.084516e-12 | \n",
" 6.528666e-13 | \n",
" 5.661027e-13 | \n",
" -1.837835e-12 | \n",
"
\n",
" \n",
" iTH366 | \n",
" 3.274181e-11 | \n",
" 0.000000e+00 | \n",
" 2.655725e-10 | \n",
" 1.091394e-11 | \n",
" 1.455192e-11 | \n",
" 2.182787e-11 | \n",
" 1.818989e-11 | \n",
"
\n",
" \n",
" iTL885 | \n",
" 3.552714e-14 | \n",
" 6.856737e-13 | \n",
" 1.468498e-08 | \n",
" 8.881784e-14 | \n",
" -4.973799e-14 | \n",
" -1.572076e-13 | \n",
" 5.204726e-13 | \n",
"
\n",
" \n",
" iTY425_fixed | \n",
" -2.775558e-15 | \n",
" 0.000000e+00 | \n",
" 2.184031e-12 | \n",
" 2.775558e-15 | \n",
" -5.551115e-16 | \n",
" 6.661338e-16 | \n",
" 2.079448e-13 | \n",
"
\n",
" \n",
" iVM679 | \n",
" -2.398082e-14 | \n",
" 1.689826e-10 | \n",
" 1.038440e-10 | \n",
" 4.352074e-14 | \n",
" 7.549517e-15 | \n",
" -2.131628e-14 | \n",
" -3.819167e-14 | \n",
"
\n",
" \n",
" iVS941_fixed | \n",
" 2.153833e-14 | \n",
" 0.000000e+00 | \n",
" 1.439289e-08 | \n",
" 3.785861e-14 | \n",
" -3.352874e-14 | \n",
" -1.498801e-14 | \n",
" -3.141931e-14 | \n",
"
\n",
" \n",
" iWV1314 | \n",
" 5.329071e-14 | \n",
" 3.552714e-15 | \n",
" 4.255085e-11 | \n",
" -3.552714e-15 | \n",
" -3.552714e-15 | \n",
" 0.000000e+00 | \n",
" -9.947598e-14 | \n",
"
\n",
" \n",
" iWZ663 | \n",
" 3.552714e-14 | \n",
" 2.741011e-09 | \n",
" 3.468870e-11 | \n",
" 8.526513e-14 | \n",
" -5.684342e-14 | \n",
" 4.263256e-14 | \n",
" -2.842171e-14 | \n",
"
\n",
" \n",
" iYL1228 | \n",
" -7.904788e-14 | \n",
" 0.000000e+00 | \n",
" 2.068377e-09 | \n",
" -1.332268e-15 | \n",
" -1.265654e-14 | \n",
" 6.217249e-15 | \n",
" -2.731149e-13 | \n",
"
\n",
" \n",
" iYO844 | \n",
" -6.439294e-15 | \n",
" -3.056155e-11 | \n",
" 4.923346e-10 | \n",
" -1.554312e-15 | \n",
" 1.110223e-15 | \n",
" 6.661338e-16 | \n",
" -3.130829e-14 | \n",
"
\n",
" \n",
" iZM363 | \n",
" 2.664535e-15 | \n",
" 0.000000e+00 | \n",
" 6.776801e-12 | \n",
" -8.348877e-14 | \n",
" 7.549517e-15 | \n",
" -2.220446e-15 | \n",
" 8.881784e-15 | \n",
"
\n",
" \n",
" iZmobMBEL601 | \n",
" -1.004752e-14 | \n",
" 0.000000e+00 | \n",
" 2.098571e-11 | \n",
" -3.115286e-13 | \n",
" -3.136380e-14 | \n",
" -4.996004e-15 | \n",
" 3.836931e-13 | \n",
"
\n",
" \n",
" mus_musculus | \n",
" -2.842171e-14 | \n",
" 0.000000e+00 | \n",
" 1.811600e-10 | \n",
" -2.842171e-14 | \n",
" 0.000000e+00 | \n",
" -2.842171e-14 | \n",
" 0.000000e+00 | \n",
"
\n",
" \n",
" textbook | \n",
" 1.110223e-16 | \n",
" 9.818923e-12 | \n",
" 4.750644e-13 | \n",
" 0.000000e+00 | \n",
" -1.110223e-16 | \n",
" -1.110223e-16 | \n",
" 4.566791e-12 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" cglpk cglpk_exact coin cplex \\\n",
"AbyMBEL891 1.136868e-13 0.000000e+00 3.844036e-11 -5.684342e-14 \n",
"AraGEM 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"GSMN_TB -4.656553e-13 0.000000e+00 5.085987e-12 -2.345454e-11 \n",
"PpaMBEL1254 0.000000e+00 0.000000e+00 5.805134e-11 -1.847411e-13 \n",
"PpuMBEL1071 8.526513e-14 5.117897e-10 4.602612e-10 5.684342e-14 \n",
"STM_v1_0 3.863576e-14 4.957084e-10 3.605212e-07 -1.498801e-15 \n",
"S_coilicolor_fixed 1.136868e-13 0.000000e+00 1.364242e-12 0.000000e+00 \n",
"SpoMBEL1693 -1.421085e-14 0.000000e+00 2.098943e-11 -1.421085e-14 \n",
"T_Maritima -3.214096e-14 9.456913e-11 2.230516e-09 3.330669e-16 \n",
"VvuMBEL943 1.421085e-14 0.000000e+00 1.922729e-11 4.263256e-14 \n",
"iAC560 2.664535e-15 0.000000e+00 8.553158e-13 8.881784e-16 \n",
"iAF1260 2.087197e-11 0.000000e+00 8.428154e-08 -2.066280e-11 \n",
"iAF692 -3.651770e-11 -2.846202e-11 1.981591e-09 6.965345e-09 \n",
"iAI549 -7.673862e-13 0.000000e+00 5.840661e-11 -5.826450e-13 \n",
"iAN840m 0.000000e+00 0.000000e+00 1.872813e-08 -5.551115e-17 \n",
"iAO358 -8.526513e-14 0.000000e+00 1.497824e-11 -1.989520e-13 \n",
"iAbaylyiV4 4.796163e-14 -1.776357e-15 8.941647e-11 -1.776357e-15 \n",
"iBT721_fixed 0.000000e+00 0.000000e+00 -6.938894e-15 0.000000e+00 \n",
"iBsu1103 -2.273737e-13 -2.653928e-08 5.934453e-11 -1.136868e-12 \n",
"iCA1273 -3.275158e-14 0.000000e+00 1.637933e-08 4.685141e-14 \n",
"iCB925 7.494005e-16 0.000000e+00 2.920300e-11 -3.191891e-16 \n",
"iCR744 3.552714e-14 0.000000e+00 2.358817e-09 -5.826450e-13 \n",
"iCS291 1.193490e-15 0.000000e+00 2.731065e-12 -6.938894e-16 \n",
"iCS400 -1.026956e-15 0.000000e+00 4.090339e-13 -1.110223e-16 \n",
"iCac802 4.440892e-16 0.000000e+00 9.617439e-09 -1.665335e-16 \n",
"iFF708 1.776357e-15 0.000000e+00 2.838618e-12 -5.329071e-14 \n",
"iGB555_fixed -1.037392e-12 5.440199e-10 4.702940e-10 1.705303e-13 \n",
"iHD666_fixed 3.774758e-14 9.730550e-13 1.013567e-08 4.718448e-15 \n",
"iIB711 -1.421085e-14 0.000000e+00 2.015099e-11 4.263256e-14 \n",
"iIT341 -1.129519e-11 2.245907e-10 6.851687e-08 -4.440892e-15 \n",
"iJL432 -1.554312e-14 0.000000e+00 4.104939e-12 -1.193490e-14 \n",
"iJN678 -4.718448e-16 2.856902e-11 2.463432e-08 -1.082467e-15 \n",
"iJN746 1.231681e-10 1.059390e-09 2.485335e-08 1.167688e-10 \n",
"iJO1366 4.973799e-14 1.739909e-10 1.544051e-07 8.881784e-16 \n",
"iJP815 1.783040e-11 0.000000e+00 3.016005e-09 2.160384e-10 \n",
"iJR904 -3.364420e-12 2.154040e-10 1.404389e-07 1.258993e-13 \n",
"iJS747 -1.421085e-13 -9.758267e-09 1.937650e-11 -5.186962e-13 \n",
"iKF1028 -1.799028e-11 0.000000e+00 4.904080e-09 5.995204e-15 \n",
"iLC915 2.103206e-12 0.000000e+00 1.007605e-08 -3.609557e-12 \n",
"iLL672 5.151435e-14 -3.967990e-10 2.029425e-09 3.019807e-14 \n",
"iMA871 0.000000e+00 0.000000e+00 2.038192e-11 -3.552714e-15 \n",
"iMA945 1.421085e-14 0.000000e+00 4.755066e-09 0.000000e+00 \n",
"iMB745 2.247508e-14 0.000000e+00 5.139368e-10 4.757412e-10 \n",
"iMH551 -4.263256e-14 0.000000e+00 2.145972e-11 6.772360e-15 \n",
"iMM1415 -2.347234e-12 0.000000e+00 1.605315e-08 5.881740e-12 \n",
"iMM904 1.060230e-11 0.000000e+00 2.990649e-09 -9.992007e-15 \n",
"iMO1056 -7.860379e-14 -6.367740e-10 1.085125e-08 -1.287859e-14 \n",
"iMP429_fixed 2.293721e-13 0.000000e+00 1.916863e-10 -2.886580e-15 \n",
"iND750 -2.235294e-10 3.722161e-13 4.941149e-08 -1.627079e-10 \n",
"iNJ661 -5.478381e-11 -1.366268e-14 6.874230e-10 1.412759e-14 \n",
"iNJ661m 7.542578e-15 -1.365574e-14 1.140270e-08 7.253811e-08 \n",
"iNV213 8.881784e-15 -8.495142e-10 1.006306e-11 0.000000e+00 \n",
"iOG654 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"iOR363 2.842171e-14 0.000000e+00 6.735945e-12 -5.684342e-14 \n",
"iPP668 -3.552714e-15 0.000000e+00 1.800928e-10 4.440892e-16 \n",
"iPS189_fixed 2.353673e-14 -1.108655e-10 9.894308e-12 7.549517e-15 \n",
"iRC1080 -1.341149e-13 9.275872e-09 7.015366e-11 5.062617e-13 \n",
"iRM588 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"iRR1083 0.000000e+00 1.977781e-08 1.978151e-10 0.000000e+00 \n",
"iRS1563 6.800116e-16 0.000000e+00 9.173981e-12 -4.163336e-16 \n",
"iRS1597 3.552714e-15 0.000000e+00 9.791457e-11 -8.881784e-15 \n",
"iRS605_fixed 1.199041e-14 0.000000e+00 4.111211e-09 -2.975398e-14 \n",
"iRsp1095 -1.065814e-14 1.172156e-09 2.692957e-11 -5.151435e-14 \n",
"iSB619 -3.088640e-13 0.000000e+00 9.349807e-11 4.496403e-15 \n",
"iSH335 3.552714e-15 0.000000e+00 9.279755e-11 4.662937e-15 \n",
"iSO783 0.000000e+00 -3.318235e-12 7.798739e-10 -5.684342e-14 \n",
"iSR432 -3.019807e-14 -1.671046e-09 4.089173e-12 -2.167155e-13 \n",
"iSS724 0.000000e+00 0.000000e+00 4.753531e-12 0.000000e+00 \n",
"iSS884 1.421085e-13 0.000000e+00 6.156000e-10 -1.563194e-13 \n",
"iSyn669 -6.186440e-13 -1.463274e-12 6.855544e-12 -5.084516e-12 \n",
"iTH366 3.274181e-11 0.000000e+00 2.655725e-10 1.091394e-11 \n",
"iTL885 3.552714e-14 6.856737e-13 1.468498e-08 8.881784e-14 \n",
"iTY425_fixed -2.775558e-15 0.000000e+00 2.184031e-12 2.775558e-15 \n",
"iVM679 -2.398082e-14 1.689826e-10 1.038440e-10 4.352074e-14 \n",
"iVS941_fixed 2.153833e-14 0.000000e+00 1.439289e-08 3.785861e-14 \n",
"iWV1314 5.329071e-14 3.552714e-15 4.255085e-11 -3.552714e-15 \n",
"iWZ663 3.552714e-14 2.741011e-09 3.468870e-11 8.526513e-14 \n",
"iYL1228 -7.904788e-14 0.000000e+00 2.068377e-09 -1.332268e-15 \n",
"iYO844 -6.439294e-15 -3.056155e-11 4.923346e-10 -1.554312e-15 \n",
"iZM363 2.664535e-15 0.000000e+00 6.776801e-12 -8.348877e-14 \n",
"iZmobMBEL601 -1.004752e-14 0.000000e+00 2.098571e-11 -3.115286e-13 \n",
"mus_musculus -2.842171e-14 0.000000e+00 1.811600e-10 -2.842171e-14 \n",
"textbook 1.110223e-16 9.818923e-12 4.750644e-13 0.000000e+00 \n",
"\n",
" glpk gurobi mosek \n",
"AbyMBEL891 1.136868e-13 -2.415845e-13 9.947598e-14 \n",
"AraGEM 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"GSMN_TB 1.011393e-08 -1.665335e-15 -1.402767e-12 \n",
"PpaMBEL1254 0.000000e+00 0.000000e+00 -7.105427e-14 \n",
"PpuMBEL1071 8.526513e-14 5.684342e-14 -1.136868e-13 \n",
"STM_v1_0 1.086908e-13 -4.996004e-16 4.814482e-13 \n",
"S_coilicolor_fixed 1.136868e-13 0.000000e+00 -1.250555e-12 \n",
"SpoMBEL1693 7.105427e-14 -2.842171e-14 -6.039613e-13 \n",
"T_Maritima -2.114975e-14 -3.330669e-16 8.437695e-14 \n",
"VvuMBEL943 4.263256e-14 0.000000e+00 1.563194e-13 \n",
"iAC560 0.000000e+00 1.776357e-15 1.421085e-14 \n",
"iAF1260 1.858336e-11 -1.196998e-11 1.749767e-11 \n",
"iAF692 -4.769716e-12 2.617935e-09 -1.106832e-09 \n",
"iAI549 1.705303e-13 -1.236344e-12 6.963319e-13 \n",
"iAN840m 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"iAO358 2.842171e-14 -5.115908e-13 -5.684342e-14 \n",
"iAbaylyiV4 1.953993e-14 1.065814e-14 -4.494183e-13 \n",
"iBT721_fixed 0.000000e+00 0.000000e+00 1.110223e-16 \n",
"iBsu1103 2.273737e-13 0.000000e+00 2.046363e-12 \n",
"iCA1273 5.406786e-14 -4.696243e-14 2.265965e-13 \n",
"iCB925 -1.942890e-16 2.636780e-16 -2.703671e-13 \n",
"iCR744 -1.350031e-13 1.705303e-13 5.186962e-13 \n",
"iCS291 -1.110223e-15 -1.276756e-15 -3.608225e-16 \n",
"iCS400 2.470246e-15 0.000000e+00 1.956768e-14 \n",
"iCac802 -1.249001e-15 3.885781e-16 -3.314016e-14 \n",
"iFF708 1.421085e-14 5.329071e-15 -4.263256e-14 \n",
"iGB555_fixed -2.060574e-12 2.700062e-13 1.577405e-12 \n",
"iHD666_fixed -7.366330e-14 3.164136e-15 -2.220446e-16 \n",
"iIB711 -2.842171e-14 -2.842171e-14 -1.421085e-14 \n",
"iIT341 -1.403899e-11 -2.111644e-13 -6.530149e-10 \n",
"iJL432 2.103873e-14 2.708944e-14 1.809664e-13 \n",
"iJN678 -2.220446e-16 -2.775558e-17 1.214445e-13 \n",
"iJN746 7.149392e-11 -6.661338e-15 1.743801e-10 \n",
"iJO1366 5.107026e-14 -2.664535e-15 5.774270e-13 \n",
"iJP815 2.299161e-12 3.759559e-11 1.973555e-11 \n",
"iJR904 -3.852363e-11 2.146194e-11 3.302114e-11 \n",
"iJS747 7.105427e-15 0.000000e+00 -2.842171e-14 \n",
"iKF1028 -6.050105e-11 6.877166e-11 -3.783374e-11 \n",
"iLC915 3.211653e-12 1.278977e-13 2.231104e-11 \n",
"iLL672 4.529710e-14 4.440892e-16 -8.260059e-14 \n",
"iMA871 0.000000e+00 0.000000e+00 -1.065814e-14 \n",
"iMA945 0.000000e+00 1.421085e-14 9.947598e-14 \n",
"iMB745 -2.697495e-14 -2.733924e-15 -3.323893e-12 \n",
"iMH551 -2.420286e-14 4.440892e-16 -2.721157e-13 \n",
"iMM1415 -1.929346e-11 -6.439294e-15 1.410982e-11 \n",
"iMM904 -9.139328e-11 1.054712e-15 -5.305936e-10 \n",
"iMO1056 5.107026e-15 -2.664535e-15 -3.352874e-14 \n",
"iMP429_fixed 1.887379e-15 -1.443290e-15 -3.357314e-13 \n",
"iND750 3.478570e-11 2.220446e-16 -2.592769e-10 \n",
"iNJ661 -1.110825e-11 -2.481532e-10 -3.497474e-10 \n",
"iNJ661m 1.649386e-07 1.528997e-07 -2.329942e-13 \n",
"iNV213 -8.881784e-15 3.552714e-15 -2.486900e-14 \n",
"iOG654 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"iOR363 -5.684342e-14 -2.842171e-14 2.842171e-14 \n",
"iPP668 3.597123e-14 -7.549517e-15 -7.238654e-14 \n",
"iPS189_fixed 9.015011e-14 3.108624e-15 1.656453e-13 \n",
"iRC1080 4.121148e-13 6.838974e-14 -1.287859e-13 \n",
"iRM588 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"iRR1083 -2.842171e-14 0.000000e+00 -2.842171e-14 \n",
"iRS1563 5.967449e-16 -9.478529e-15 -8.118506e-15 \n",
"iRS1597 5.329071e-15 -2.842171e-14 -2.842171e-14 \n",
"iRS605_fixed -3.996803e-15 3.552714e-15 -1.865175e-14 \n",
"iRsp1095 1.421085e-14 -2.131628e-14 -8.526513e-14 \n",
"iSB619 -1.181277e-13 1.437739e-14 9.064693e-13 \n",
"iSH335 -1.620926e-14 -2.664535e-15 4.016787e-13 \n",
"iSO783 1.776357e-14 0.000000e+00 3.552714e-15 \n",
"iSR432 5.151435e-14 -2.593481e-13 -3.552714e-13 \n",
"iSS724 0.000000e+00 0.000000e+00 0.000000e+00 \n",
"iSS884 7.105427e-14 -5.684342e-14 -1.847411e-13 \n",
"iSyn669 6.528666e-13 5.661027e-13 -1.837835e-12 \n",
"iTH366 1.455192e-11 2.182787e-11 1.818989e-11 \n",
"iTL885 -4.973799e-14 -1.572076e-13 5.204726e-13 \n",
"iTY425_fixed -5.551115e-16 6.661338e-16 2.079448e-13 \n",
"iVM679 7.549517e-15 -2.131628e-14 -3.819167e-14 \n",
"iVS941_fixed -3.352874e-14 -1.498801e-14 -3.141931e-14 \n",
"iWV1314 -3.552714e-15 0.000000e+00 -9.947598e-14 \n",
"iWZ663 -5.684342e-14 4.263256e-14 -2.842171e-14 \n",
"iYL1228 -1.265654e-14 6.217249e-15 -2.731149e-13 \n",
"iYO844 1.110223e-15 6.661338e-16 -3.130829e-14 \n",
"iZM363 7.549517e-15 -2.220446e-15 8.881784e-15 \n",
"iZmobMBEL601 -3.136380e-14 -4.996004e-15 3.836931e-13 \n",
"mus_musculus 0.000000e+00 -2.842171e-14 0.000000e+00 \n",
"textbook -1.110223e-16 -1.110223e-16 4.566791e-12 "
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"differences = (results - results.ix[\"esolver\"]).T\n",
"differences.pop(\"esolver\")\n",
"differences"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"3.6052116270113288e-07"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"abs(differences).max().max()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}