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"## A complex (multistep) reaction `A <-> C` derived from 2 coupled elementary reactions: \n",
"## `A <-> B` (slow) and `B <-> C` (fast) \n",
"A repeat of experiment `cascade_2_a`, with more DISSIMILAR elementary reactions.\n",
"\n",
"In PART 1, a time evolution of [A], [B] and [C] is obtained by simulation \n",
"In PART 2, the time functions generated in Part 1 are taken as a _starting point,_ to explore how to model the composite reaction `A <-> C` \n",
"\n",
"**Background**: please see experiment `cascade_2_a` "
]
},
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"id": "0979ce06-c8e7-472e-a927-51e310d263e0",
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"LAST_REVISED = \"Nov. 12, 2024\"\n",
"LIFE123_VERSION = \"1.0.0.rc.0\" # Library version this experiment is based on"
]
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"cell_type": "code",
"execution_count": 2,
"id": "ff717144-2d56-4caf-805b-a10c4e67f72e",
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"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
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"cell_type": "code",
"execution_count": 3,
"id": "3924c013",
"metadata": {
"tags": []
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"#import sys\n",
"#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n",
"# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n",
"\n",
"from life123 import UniformCompartment, ReactionKinetics, PlotlyHelper"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "75411c8b-f0c5-411d-9e12-1eaa423449f9",
"metadata": {},
"outputs": [],
"source": []
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"cell_type": "markdown",
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"# PART 1 - We'll generate the time evolution of [A] and [C] by simulating coupled elementary reactions of KNOWN rate constants...\n",
"## but pretend you don't see this section! (because we later assume that those time evolutions are just GIVEN to us)"
]
},
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"id": "72b4245c-de4e-480d-a501-3495b7ed8bc4",
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"name": "stdout",
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"Number of reactions: 2 (at temp. 25 C)\n",
"0: A <-> B (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n",
"1: B <-> C (kF = 80 / kR = 0.1 / delta_G = -16,571 / K = 800) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'A', 'B', 'C'}\n"
]
}
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"# Instantiate the simulator and specify the chemicals\n",
"dynamics = UniformCompartment(names=[\"A\", \"B\", \"C\"], preset=\"mid\")\n",
"\n",
"# Reaction A <-> B (much slower, and with a much smaller K)\n",
"dynamics.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=8., reverse_rate=2.) \n",
"\n",
"# Reaction B <-> C (much faster, and with a much larger K)\n",
"dynamics.add_reaction(reactants=\"B\", products=\"C\",\n",
" forward_rate=80., reverse_rate=0.1) # <===== THIS IS THE KEY DIFFERENCE FROM THE EARLIER EXPERIMENT `cascade_2_a`\n",
" \n",
"dynamics.describe_reactions()"
]
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"cell_type": "markdown",
"id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2",
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"source": [
"### Run the simulation"
]
},
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"cell_type": "code",
"execution_count": 5,
"id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef",
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"SYSTEM STATE at Time t = 0:\n",
"3 species:\n",
" Species 0 (A). Conc: 50.0\n",
" Species 1 (B). Conc: 0.0\n",
" Species 2 (C). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'A', 'B', 'C'}\n"
]
}
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"dynamics.set_conc({\"A\": 50.}, snapshot=True) # Set the initial concentrations of the chemicals\n",
"dynamics.describe_state()"
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"cell_type": "code",
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"id": "2502cd11-0df9-4303-8895-98401a1df7b8",
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"name": "stdout",
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"102 total step(s) taken in 0.200 sec\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 15, 'norm_B': 16, 'norm_C': 14, 'norm_D': 14}\n",
"System Time is now: 0.81029\n"
]
}
],
"source": [
"dynamics.single_compartment_react(initial_step=0.01, duration=0.8,\n",
" variable_steps=True)"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], show_intervals=True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "042a23ff-84de-4273-ae7b-09b73b740b4c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 0.08481 ; [B] = 0.06976\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 0.822525\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 4\n",
"Discrepancy between the two values: 79.44 %\n",
"Reaction is NOT in equilibrium (not within 1% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [B] = 0.06976 ; [C] = 49.85\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 714.525\n",
" Formula used: [C] / [B]\n",
"2. Ratio of forward/reverse reaction rates: 800\n",
"Discrepancy between the two values: 10.68 %\n",
"Reaction is NOT in equilibrium (not within 1% tolerance)\n",
"\n"
]
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"source": [
"dynamics.is_in_equilibrium()"
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},
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"id": "b56568ac-1e46-4242-9141-ca197b654c55",
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"source": [
"We didn't quite advance to equilibrium this time. A separate run (not shown) displayed far-better values if we had progressed the simulation just a little more in time. "
]
},
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"source": [
"# PART 2 - This is the starting point of fitting the data from part 1. \n",
"### We're given the data of the time evolution of `A` and `C`, and we want to try to model the complex reaction `A <-> C`"
]
},
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"source": [
"Let's start by taking stock of the actual data (saved during the simulation of part 1):"
]
},
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"id": "f26c98c3-802c-4c38-a726-06ac4a77211a",
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"\n",
"\n",
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\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" Set concentration | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.004000 | \n",
" 48.400000 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.008000 | \n",
" 46.864000 | \n",
" 0.512000 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.010000 | \n",
" 46.124672 | \n",
" 0.931738 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.011000 | \n",
" 45.761562 | \n",
" 1.167132 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 98 | \n",
" 0.758938 | \n",
" 0.121082 | \n",
" 49.805302 | \n",
" | \n",
"
\n",
" \n",
" | 99 | \n",
" 0.771777 | \n",
" 0.110536 | \n",
" 49.816969 | \n",
" | \n",
"
\n",
" \n",
" | 100 | \n",
" 0.784616 | \n",
" 0.101044 | \n",
" 49.827470 | \n",
" | \n",
"
\n",
" \n",
" | 101 | \n",
" 0.797455 | \n",
" 0.092501 | \n",
" 49.836921 | \n",
" | \n",
"
\n",
" \n",
" | 102 | \n",
" 0.810294 | \n",
" 0.084812 | \n",
" 49.845428 | \n",
" last reaction step | \n",
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\n",
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""
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},
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}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr, A_conc=A_conc, B_conc=C_conc, reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "b0545236-4a04-495a-b10f-afddbd40628b",
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"source": [
"### The least-square fit is awful : the complex reaction `A <-> C` doesn't seem to be amenable to being modeled as a simple reaction with some suitable rate constants"
]
},
{
"cell_type": "markdown",
"id": "8951650d-cb8c-4def-99c3-4e465a12b9d4",
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"### But it looks like we'll do much better if splitting into 2 portions, one where A(t) ranges from 0 to about 40, and one from about 40 to 50 \n",
"Indeed, revisiting the early portion of the time plot from Part 1, one can see an inflection in the [C] green curve roughly around time t=0.028, which is when [A] is around 40 (turquoise). That's around the peak of the mystery intermediate B (orange).\n",
"\n",
"We'll pick time **t=0.028** as the divider between the 2 domains of the `A <-> C` time evolution that we want to model. \n",
"\n",
"Note that this is a much smaller time than we saw in experiment `cascade_2_a`"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "ef2fb66f-1a60-4bd4-9d68-8ac5fa742c7f",
"metadata": {},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], range_x=[0, 0.4],\n",
" vertical_lines_to_add=[0.028])"
]
},
{
"cell_type": "markdown",
"id": "6d4a4dbd-de22-471c-a1a4-5507941d92e1",
"metadata": {},
"source": [
"#### Let's locate where the t = 0.028 point occurs in the data"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "3795ba32-68ec-4d20-9b6b-c2a117810741",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" search_value | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 19 | \n",
" 0.028 | \n",
" 0.02728 | \n",
" 40.260772 | \n",
" 3.8859 | \n",
" 5.853329 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
t=%{x}
value=%{y}",
"legendgroup": "wide_variable_0",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "d/dt C(t): exact",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001
],
"xaxis": "x",
"y": [
-64.00000000000001,
64.00000000000001,
182.5792,
226.88563882666676,
240.49093401548794,
250.15001326342644,
258.78465478242174,
266.48096894205366,
273.31796423218736,
279.3681319455884,
284.69798273293895,
289.3685389917721,
293.43578672475246,
296.95109020349764,
299.9615724995174,
302.4046265418533,
304.82997472725606,
306.7945637024859,
308.5490323652907,
310.11565307554883
],
"yaxis": "y"
},
{
"hovertemplate": "d/dt C(t): least-square fit :
t=%{x}
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""
]
},
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}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_early, A_conc=A_conc_early, B_conc=C_conc_early,\n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "49e2b683-f622-4d9a-a6e8-e687a7b44f34",
"metadata": {},
"source": [
"Just as we saw in experiment `cascade_2_a`, trying to fit an elementary reaction to that region leads to a **negative** reverse rate constant! \n",
"This time, we won't discuss this part any further."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "418af0d5-7130-485e-ace3-9724b4a74e6b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "652e8cc0-b053-40d1-9d1c-2f2a30f59469",
"metadata": {},
"source": [
"## II. And now let's consider the LATE region, when t > 0.028"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "2d61a783-e1e5-473a-9fd8-cba5cb842a85",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reaction A <-> C\n",
"Total REACTANT + PRODUCT has a median of 49.59, \n",
" with standard deviation 1.353 (ideally should be zero)\n",
"The sum of the time derivatives of the reactant and the product \n",
" has a median of 2.347 (ideally should be zero)\n",
"Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n",
"\n",
"-> ESTIMATED RATE CONSTANTS: kF = 8.427 , kR = -0.04512\n"
]
},
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0.4444444444444444,
"#bd3786"
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0.5555555555555556,
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0.6666666666666666,
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0.7777777777777778,
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[
0.8888888888888888,
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[
1,
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]
],
"sequentialminus": [
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0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
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0.5555555555555556,
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[
0.6666666666666666,
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[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "LEAST-SQUARE FIT ANALYSIS:"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.02872000000000001,
0.8102943232933881
],
"title": {
"text": "t"
},
"type": "linear"
},
"xaxis2": {
"anchor": "y2",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.08481226599400984,
39.808159238522826
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0.575,
1
],
"range": [
-17.992143549595358,
354.3650503579974
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
},
"yaxis2": {
"anchor": "x2",
"autorange": true,
"domain": [
0,
0.425
],
"range": [
-16.6025469803141,
327.9627155416535
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
}
}
},
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_late, A_conc=A_conc_late, B_conc=C_conc_late,\n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "5e2ab9aa-c84d-41d1-948f-16d1e437b2a6",
"metadata": {},
"source": [
"This time we have an adequate linear fit AND meaningful rate constants : kF of about 8 and kR of about 0. Do those numbers sound familiar? A definite resemblance to the kF=8, kR=2 of the SLOWER elementary reaction `A <-> B`! \n",
"\n",
"#### The slower `A <-> B` reaction dominates the kinetics from about t=0.028 on. \n",
"\n",
"Let's see the concentrations over time again:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "0c1a9e04-5622-480c-beca-525857353618",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], range_x=[0, 0.4],\n",
" vertical_lines_to_add=[0.028])"
]
},
{
"cell_type": "markdown",
"id": "57e7c2b9-c693-4e16-92f6-6e0a94b18a2b",
"metadata": {},
"source": [
"Just as we concluded in experiment `cascade_2_a`, the earlier part of the complex (compound) reaction `A <-> C` cannot be modeled by an elementary reaction, while the later part can indeed be modeled by a 1st order elementary reaction, with kinetics similar to the slower `A <-> B` reaction. This time, with a greater disparity between the two elementary reaction, the transition happens much sooner."
]
},
{
"cell_type": "markdown",
"id": "310322af-ca59-4d41-b533-ec3336d6f3a8",
"metadata": {},
"source": [
"### While it's a well-known Chemistry notion that the slower reaction is the rate-determining step in a chain, we saw in this experiment, and in the previous one, that the complex reaction could be roughly modeled with the rate constants of the slower reaction only after some time - especially if the 2 elementary reactions are relatively similar (as in the previous experiment `cascade_2_a`). "
]
},
{
"cell_type": "markdown",
"id": "2360a0ce-db41-4965-963c-a2356f01e32f",
"metadata": {},
"source": [
"If we were interested in early transients (for example, if diffusion quickly intervened), we couldn't use that model."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6f8864f7-b110-4436-bca6-e4b2af03a964",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "25991209-add1-4828-a07a-35c3cbd94211",
"metadata": {},
"source": [
"#### NEXT: In the continuation experiment, `cascade_2_c`, we explore the scenario where the 2 elementary reactions are reversed in their relative speeds"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "dab5c28c-042e-4b36-9574-3880f2b4a614",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
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"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.13"
}
},
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"nbformat_minor": 5
}