{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading optim\n", "warning: isdir is obsolete; use isfolder or dir_in_loadpath instead\n", "loading image\n", "loading io\n", "loading statistics\n", "loading signal\n" ] } ], "source": [ "% Toolbox Setup\n", "cd ../\n", "startup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Hyperpolarized Metrics Evaluation\n", "\n", "The goal of this notebook is to demonstrate simulation tools for comparing metrics of hyperpolarized MR metabolic data. It is based on simulations originally presented in the following citation(s)\n", "\n", "* Larson, Peder E. Z., Hsin-Yu Chen, Jeremy W. Gordon, Natalie Korn, John Maidens, Murat Arcak, Shuyu Tang, et al. “Investigation of Analysis Methods for Hyperpolarized 13C-Pyruvate Metabolic MRI in Prostate Cancer Patients.” NMR in Biomedicine 31, no. 11 (November 2018): e3997. https://doi.org/10.1002/nbm.3997.\n", "\n", "It is very challenging to evaluate the accuracy of HP metabolism metrics in vivo because it is nearly impossible to have a ground truth values and the apparent rate constants can be influenced by a combination of perfusion/delivery, cellular uptake, intracellular transport (e.g. into mitochondria), enzymatic conversion, efflux out of cells, and out-flow, and compartmental T1 differences.\n", "\n", "Given this limitation, simulations can be used very effectively to provide insight into evaluation of HP metabolism metrics. Simulation parameters to evaluate should include key HP experimental variables such the conversion rates, relaxation rates, noise level, acquisition strategy (flip angles, timing), bolus and perfusion characteristics, and flip angle accuracy. \n", "\n", "Monte Carlo simulations, in which a signal is analyzed many times in the presence of unique added noise, can be used to characterize the response of metrics, both in terms of accuracy and precision." ] }, { "attachments": { "precursor-product%20pyruvate-lactate.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Simulated Data\n", "\n", "This demonstration uses a precursor-product model of HP 13C-pyruvate to 13C-lactate conversion in a single physical compartment following a bolus injection.\n", "However, this approach can be modified for other models as well, similar to the use of a two physical compartment model used in Sun, Chang-yu, Christopher M. Walker, Keith A. Michel, Aradhana M. Venkatesan, Stephen Y. Lai, and James A. Bankson. “Influence of Parameter Accuracy on Pharmacokinetic Analysis of Hyperpolarized Pyruvate.” Magnetic Resonance in Medicine 79, no. 6 (June 2018): 3239–48. https://doi.org/10.1002/mrm.26992.\n", "\n", "![precursor-product model for HP pyruvate in a single physical compartment. All observed signal is assumed to be in contact with enzymes that mediate exchange. The blue cube represents an imaging voxel. Adapted from Bankson et al, Cancer Research 2015.](attachment:precursor-product%20pyruvate-lactate.png)\n", "**Figure**: Precursor-product model for HP pyruvate in a single physical compartment. All observed signal is assumed to be in contact with enzymes that mediate exchange. The blue cube represents an imaging voxel. Adapted from Bankson et al, Cancer Research 2015. https://doi.org/10.1158/0008-5472.CAN-15-0171" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "% sample data for the model\n", "\n", "acq_sample.TR = 3;\n", "acq_sample.N = 20;\n", "acq_sample.flips = repmat([25*pi/180; 25*pi/180], [1 acq_sample.N]);\n", "experiment_sample.R1P = 1/25; experiment_sample.R1L = 1/25; \n", "experiment_sample.kPL = 0.02;\n", "experiment_sample.Tarrival = 0; experiment_sample.Tbolus = 8;\n", " \n", "[input_function, t_input] = realistic_input_function(acq_sample.N, acq_sample.TR, experiment_sample.Tarrival, experiment_sample.Tbolus); % gives a full-width half-max of the bolus of ~ Tbolus sec\n", "\n", "[Mxy Mz] = simulate_Nsite_model([0 0], [experiment_sample.R1P experiment_sample.R1L], [experiment_sample.kPL 0], acq_sample.flips, acq_sample.TR, input_function);\n", "\n", "plot(t_input, Mxy)\n", "xlabel('time (s)'), ylabel('Signal')\n", "legend('pyruvate', 'lactate')\n", "title('Simulated Data (without noise)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Monte Carlo Simulations\n", "\n", "A Monte Carlo simulation is performed with a repeated set of random measurements. For this application, it means adding different random noise to the simulated signal prior to determining a HP metabolism metric.\n", "\n", "The `hyperpolarized-mri-toolbox` provides a helper function to perform these simulations\n", "\n", " [ results, hdata, hsim ] = HP_montecarlo_evaluation( acq, fitting, experiment );\n", "\n", " INPUTS:\n", " acq - structure containing acquisition parameters, must include TR, flips, N (number of timepoints)\n", " fitting - structure containing fitting parameters, including fit_fcn, params_est, params_fixed\n", " (for use with fit_pyr_kinetics* functions) \n", " experiment - structure containing experimental parameters and ranges for simulations (optional)\n", "\n", " OUTPUTS:\n", " results - structure containing summary of results\n", " hdata, hsim - handles to figures from function\n", "\n", "This creates plots of sample data, $k_{PL}$ versus the metric value, and the relative error of the metric as a function of variations in experimental parameters." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "% Setup parameters\n", "\n", "clear experiment acq\n", "\n", "% default experiment values\n", "experiment.R1P = 1/25; experiment.R1L =1/25; experiment.kPL = 0.02; \n", "%experiment.std_noise = 0.02; % for kPL vs AUC figure\n", "experiment.std_noise = 0.005; % for relative error figure\n", "experiment.Tarrival = 0; experiment.Tbolus = 8;\n", "\n", "% Acquisition parameters\n", "Tacq = 48;\n", "acq.TR = 3; acq.N = Tacq/acq.TR;" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "clear params_est params_fixed\n", "\n", "% default fitting parameters\n", "R1P_est = 1/25; R1L_est = 1/25; kPL_est = .02;\n", "Tarrival_est = experiment.Tarrival; Tbolus_est = experiment.Tbolus; % ... perfect estimates ... how do they perform with variability?\n", "Rinj_est = 0.1; % looks reasonable\n", "\n", "params_fixed.R1P = R1P_est;\n", "params_fixed.R1L = R1L_est;\n", "params_est.kPL = kPL_est;" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "% these structures choose the fitting methods to test\n", "clear fitting\n", "\n", "fitting(1).fit_fcn = @fit_pyr_kinetics;\n", "fitting(1).params_fixed = params_fixed;\n", "fitting(1).params_est = params_est;\n", "fitting(1).fit_description = ['Inputless fitting'];\n", "fitting(1).metric = 'kPL';\n", "\n", "% fitting(2).fit_fcn = @fit_pyr_kinetics_and_input;\n", "% params_est.Tarrival = Tarrival_est+2; params_est.Rinj = Rinj_est*1.2; params_est.Tbolus = Tbolus_est-1;\n", "% params_est.Tarrival_lb = 0; params_est.Tarrival_ub = 12; params_est.Tbolus_lb = 6; params_est.Tbolus_ub = 10;\n", "% fitting(2).params_fixed = params_fixed;\n", "% fitting(2).params_est = params_est;\n", "% fitting(2).fit_description = ['Fitting the input function'];\n", "% fitting(2).metric = 'kPL';\n", "\n", "fitting(2).fit_fcn = @fit_pyr_kinetics;\n", "clear params_est params_fixed \n", "params_fixed.R1P = R1P_est;\n", "params_est.R1L = R1L_est;\n", "params_est.kPL = kPL_est;\n", "fitting(2).params_fixed = params_fixed;\n", "fitting(2).params_est = params_est;\n", "fitting(2).fit_description = ['Inputless Fitting with T1 Fit'];\n", "fitting(2).metric = 'kPL';\n", "\n", "fitting(3).fit_fcn = @compute_AUCratio;\n", "fitting(3).metric = 'AUCratio'; %\n", "fitting(3).fit_description = ['AUC Ratio'];\n", "\n", "% Ifitting = 4;\n", "% fitting(Ifitting).fit_fcn = @compute_mean_time;\n", "% fitting(Ifitting).metric = 'LactateMeanTime'; %\n", "% fitting(Ifitting).fit_description = ['Lactate Mean Time'];\n", "% \n", "% Ifitting = 5;\n", "% fitting(Ifitting).fit_fcn = @compute_TTP;\n", "% fitting(Ifitting).metric = 'LactateTTP'; %\n", "% fitting(Ifitting).fit_description = ['Lactate Time-to-Peak'];" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "flip angle scheme: metabolite-specific 20(pyruvate)/30(lactate)-degrees\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%Run the simulation\n", "\n", "% number of repetitions of simulation for Monte Carlo evaluation\n", "experiment.NMC = 25; % using fewer in this example for quicker testing, increase to several hundred for more robust results\n", "\n", "% Options to choose from three different flip angle schemes\n", "flip_scheme = 2;\n", "switch flip_scheme\n", " case 1\n", " acq.flips = repmat([25*pi/180; 25*pi/180], [1 acq.N]);\n", " flip_description = 'constant 25-degrees';\n", " case 2\n", " acq.flips = repmat([20*pi/180; 30*pi/180], [1 acq.N]);\n", " flip_description = 'metabolite-specific 20(pyruvate)/30(lactate)-degrees';\n", " case 3\n", " k12 = 0.05; % for variable flip angle designs\n", " acq.flips = [vfa_const_amp(acq.N, pi/2, exp(-acq.TR * ( k12))); ... % T1-effective pyruvate variable flip angles\n", " vfa_opt_signal(acq.N, exp(-acq.TR * ( R1L_est)))]; % max lactate SNR variable flip angle\n", " flip_description = 'metabolite-specific variable flip angle';\n", "end\n", "\n", "disp(['flip angle scheme: ' flip_description])\n", "\n", "[results, hdata, hsim ] = HP_montecarlo_evaluation( acq, fitting, experiment );\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above plots\n", "* blue is the metric defined by `fitting(1)` (nominally \"Inputless fitting\")\n", "* green is the metric defined by `fitting(2)` (nominally \"Inputless fitting with T1 Fit\")\n", "* red is the metric defined by `fitting(3)` (nominally \"AUC ratio\")\n", "\n", "(Manipulating the `legend` location in Octave was challenging!)" ] } ], "metadata": { "kernelspec": { "display_name": "Octave", "language": "octave", "name": "octave" }, "language_info": { "file_extension": ".m", "help_links": [ { "text": "GNU Octave", "url": "https://www.gnu.org/software/octave/support.html" }, { "text": "Octave Kernel", "url": "https://github.com/Calysto/octave_kernel" }, { "text": "MetaKernel Magics", "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" } ], "mimetype": "text/x-octave", "name": "octave", "version": "5.1.0" } }, "nbformat": 4, "nbformat_minor": 4 }