{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "f07fa1f2-187e-4ce0-af95-31d6120977fe",
"metadata": {
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"from mimic.utilities.utilities import *\n",
"from mimic.model_infer import *\n",
"from mimic.model_simulate import *\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.integrate import odeint"
]
},
{
"cell_type": "markdown",
"id": "4501a3a3",
"metadata": {
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## Run ridge regression and lasso for the gMLV model\n",
"\n",
"### Five species, six metabolites, single time course\n",
"This model assumes metabolite production is associated with abundance: dS/dt = alpha X
"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "9d348926",
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model parameters:\n",
"Model: gMLV\n",
"num_species: 5\n",
"num_metabolites: 6\n",
"num_perturbations: 0\n",
"mu: [1.28 0.56 2.07 0.86 0.7 ]\n",
"M: [[-0.05 0. 0. 0. 0. ]\n",
" [ 0. -0.1 0. 0.05 0. ]\n",
" [ 0. 0. -0.15 0. 0. ]\n",
" [ 0. 0. 0. -0.01 0. ]\n",
" [ 0. 0. 0. 0. -0.2 ]]\n",
"beta: [[ 0. 0. 0. 0. 0. ]\n",
" [ 0. 0. 0. 0. 1. ]\n",
" [ 0. 0. 0. 0. 0. ]\n",
" [ 0. 0. 0. 0. 0. ]\n",
" [ 0. 0. -0.5 0. 0. ]\n",
" [ 0. 0. 0. 0. 0. ]]\n",
"epsilon: []\n",
"Using the following parameters for gMLV simulation: {'num_species': 5, 'num_metabolites': 6, 'num_perturbations': 0, 'mu': array([1.27853844, 0.55683415, 2.06752757, 0.86387608, 0.70448068]), 'M': array([[-0.05, 0. , 0. , 0. , 0. ],\n",
" [ 0. , -0.1 , 0. , 0.05, 0. ],\n",
" [ 0. , 0. , -0.15, 0. , 0. ],\n",
" [ 0. , 0. , 0. , -0.01, 0. ],\n",
" [ 0. , 0. , 0. , 0. , -0.2 ]]), 'beta': array([[ 0. , 0. , 0. , 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. , 1. ],\n",
" [ 0. , 0. , 0. , 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. , 0. ],\n",
" [ 0. , 0. , -0.5, 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. , 0. ]]), 'epsilon': array([], shape=(5, 0), dtype=float64)}\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Simulate some microbiota and metabolites\n",
"set_all_seeds(1234)\n",
"\n",
"# SETUP MODEL\n",
"# establish size of model\n",
"num_species = 5\n",
"num_metabolites = 6\n",
"\n",
"# construct interaction matrix\n",
"# TODO do this programmatically\n",
"M = np.zeros((num_species, num_species))\n",
"np.fill_diagonal(M, [-0.05, -0.1, -0.15, -0.01, -0.2])\n",
"# M[0,2] = -0.025\n",
"M[1, 3] = 0.05\n",
"# M[4,0] = 0.02\n",
"\n",
"# construct growth rates matrix\n",
"mu = np.random.lognormal(0.01, 0.5, num_species)\n",
"\n",
"# construct metabolite production matrix\n",
"alpha = np.zeros((num_metabolites, num_species))\n",
"alpha[1, 4] = 1\n",
"alpha[4, 2] = -0.5\n",
"\n",
"# instantiate simulator\n",
"simulator = sim_gMLV(num_species=num_species,\n",
" num_metabolites=num_metabolites,\n",
" M=M,\n",
" mu=mu,\n",
" beta=alpha)\n",
"simulator.print_parameters()\n",
"\n",
"# PRODUCE SIMULATED RESULTS\n",
"# initial conditions\n",
"init_species = 10 * np.ones(num_species)\n",
"init_metabolites = 10 * np.ones(num_metabolites)\n",
"\n",
"times = np.arange(0, 5, 0.1)\n",
"yobs, sobs, sy0, _, _, _ = simulator.simulate(\n",
" times=times, sy0=np.hstack((init_species, init_metabolites)))\n",
"\n",
"# add some gaussian noise\n",
"yobs = yobs + np.random.normal(loc=0, scale=0.1, size=yobs.shape)\n",
"sobs = sobs + np.random.normal(loc=0, scale=0.1, size=sobs.shape)\n",
"\n",
"# plot simulation\n",
"plot_gMLV(yobs, sobs, times)\n"
]
},
{
"cell_type": "markdown",
"id": "1663a287",
"metadata": {},
"source": [
"### Perform ridge regression to get the abundance model"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ba2968c9",
"metadata": {},
"outputs": [],
"source": [
"# fit growth first\n",
"# linearise\n",
"X, F = linearize_time_course_16S(yobs, times)\n",
"# print(f\"n: {num_species * F.shape[0]}, p: {num_species + num_species ** 2}\")\n",
"\n",
"# get the best lambda/alpha values on a grid via cross validation\n",
"a0, a1 = fit_alpha_Ridge1(X, F, num_species=num_species, n_a0=20, n_a1=20)\n",
"\n",
"# do final fit\n",
"mu_h, M_h = do_final_fit_Ridge1(X, F, num_species, a0, a1)\n"
]
},
{
"cell_type": "markdown",
"id": "4d42167b",
"metadata": {},
"source": [
"### Perform lasso regression to obtain interactions between X and S"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "31bee7de",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"minimum found: a/error: 0.8858667904100825 1.2319888587485222\n",
"min + se rule: a/error: 1.2742749857031335 1.2445655198949461\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Using the following parameters for gMLV simulation: {'num_species': 5, 'num_metabolites': 6, 'num_perturbations': 0, 'mu': [2.3307427461359773, 1.17918873474841, 5.9405483694245165, 0.6657900524209724, 18.766720402152664], 'M': [[-0.13066413374701402, -0.09931811016999789, 0.031037791041588, 0.06447270641880148, -0.027444255102491398], [-0.12458060729415786, -0.2599641618316388, 0.10300487602902476, 0.15329593579727968, 0.017126878303179195], [0.1383328662228482, 0.1595201507624835, -0.5399190982864852, -0.1064815630510005, -0.1953463436009957], [0.06578196676131579, 0.09786112262758834, -0.055990378090474704, -0.07257676895576962, -0.0290848397186032], [-0.18720236721330555, -0.22155128234110122, -0.8434879772990354, 0.1360071753361419, -0.9089352896681516]], 'beta': array([[-0. , -0. , 0. , 0. , -0. ],\n",
" [-0.12887775, -0. , -0.29908791, -0. , 0.41942863],\n",
" [-0. , -0. , -0. , 0. , -0. ],\n",
" [ 0. , -0. , 0. , 0. , -0. ],\n",
" [-0.09063619, 0. , -0. , -0. , 0. ],\n",
" [-0. , -0. , 0. , -0. , 0. ]]), 'epsilon': array([], shape=(5, 0), dtype=float64)}\n",
"mu_hat/mu:\n",
"[ 2.33074275 1.17918873 5.94054837 0.66579005 18.7667204 ]\n",
"[1.27853844 0.55683415 2.06752757 0.86387608 0.70448068]\n",
"\n",
"M_hat/M:\n",
"[[-0.13 -0.1 0.03 0.06 -0.03]\n",
" [-0.12 -0.26 0.1 0.15 0.02]\n",
" [ 0.14 0.16 -0.54 -0.11 -0.2 ]\n",
" [ 0.07 0.1 -0.06 -0.07 -0.03]\n",
" [-0.19 -0.22 -0.84 0.14 -0.91]]\n",
"\n",
" [[-0.05 0. 0. 0. 0. ]\n",
" [ 0. -0.1 0. 0.05 0. ]\n",
" [ 0. 0. -0.15 0. 0. ]\n",
" [ 0. 0. 0. -0.01 0. ]\n",
" [ 0. 0. 0. 0. -0.2 ]]\n",
"\n",
"a_hat/a:\n",
"[[-0. -0. 0. 0. -0. ]\n",
" [-0.13 -0. -0.3 -0. 0.42]\n",
" [-0. -0. -0. 0. -0. ]\n",
" [ 0. -0. 0. 0. -0. ]\n",
" [-0.09 0. -0. -0. 0. ]\n",
" [-0. -0. 0. -0. 0. ]]\n",
"\n",
" [[ 0. 0. 0. 0. 0. ]\n",
" [ 0. 0. 0. 0. 1. ]\n",
" [ 0. 0. 0. 0. 0. ]\n",
" [ 0. 0. 0. 0. 0. ]\n",
" [ 0. 0. -0.5 0. 0. ]\n",
" [ 0. 0. 0. 0. 0. ]]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# fit metabolite production\n",
"# Linearize this problem\n",
"G, S = linearise_time_course_metabolites(sobs, yobs, times)\n",
"\n",
"# get the best lambda/alpha value on a grid via cross validation\n",
"a_min, a_se = fit_alpha_lasso(G, S, n_a=20)\n",
"model = Lasso(fit_intercept=False, max_iter=10000, alpha=a_min)\n",
"\n",
"# perform final fit\n",
"model.fit(G, S)\n",
"alpha_h = model.coef_\n",
"\n",
"predictor = sim_gMLV(num_species=num_species,\n",
" num_metabolites=num_metabolites,\n",
" M=M_h,\n",
" mu=mu_h,\n",
" beta=alpha_h)\n",
"yobs_h, sobs_h, _, _, _, _ = predictor.simulate(\n",
" times=times, sy0=np.hstack((init_species, init_metabolites)))\n",
"\n",
"# PLOT RESULTS\n",
"# plot comparison of simulated and predicted timeseries\n",
"plot_fit_gMLV(yobs, yobs_h, sobs, sobs_h, times)\n",
"\n",
"compare_params(mu=(mu, mu_h), M=(M, M_h), alpha=(alpha, alpha_h))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}