{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bayesian parameter inference from single-molecule mRNA FISH data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(c) 2020 Manuel Razo. This work is licensed under a [Creative Commons Attribution License CC-BY 4.0](https://creativecommons.org/licenses/by/4.0/). All code contained herein is licensed under an [MIT license](https://opensource.org/licenses/MIT). \n",
"\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pickle\n",
"\n",
"# Our numerical workhorses\n",
"import numpy as np\n",
"import scipy.optimize\n",
"import scipy.special\n",
"import scipy.integrate\n",
"import mpmath\n",
"import pandas as pd\n",
"import emcee\n",
"\n",
"# Import matplotlib stuff for plotting\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cm\n",
"import matplotlib as mpl\n",
"from matplotlib.backends.backend_pdf import PdfPages \n",
"import corner\n",
"\n",
"# Seaborn, useful for graphics\n",
"import seaborn as sns\n",
"\n",
"# Import the project utils\n",
"import ccutils\n",
"\n",
"# This enables high resolution graphics inline\n",
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"figdir = '../../fig/chemical_master_mRNA_FISH/'\n",
"tmpdir = '../../tmp/'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Set PBoC plotting style\n",
"ccutils.viz.set_plotting_style()\n",
"# Increase dpi\n",
"mpl.rcParams['figure.dpi'] = 110"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $\\LaTeX$ macros\n",
"$\\newcommand{\\kpon}{k^{(p)}_{\\text{on}}}$\n",
"$\\newcommand{\\kpoff}{k^{(p)}_{\\text{off}}}$\n",
"$\\newcommand{\\rm}{r _m}$\n",
"$\\newcommand{\\gm}{\\gamma _m}$\n",
"$\\newcommand{\\mm}{\\left\\langle m \\right\\rangle}$\n",
"$\\newcommand{\\ee}[1]{\\left\\langle #1 \\right\\rangle}$\n",
"$\\newcommand{\\eP}{\\Delta\\varepsilon_p}$\n",
"$\\newcommand{\\foldchange}{\\text{fold-change}}$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exploring the single-molecule mRNA FISH data from Jones et al. 2014."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this notebook we will explore the use of the raw data from [Jones et al. 2014](http://science.sciencemag.org/content/346/6216/1533) on single molecule mRNA FISH data to make progress in determining parameters for the model.\n",
"\n",
"First of all let's load the data."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
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"text/plain": [
" area_cells date experiment mRNA_cell num_intens_totals spots_totals\n",
"0 402 20111220 UV5 27 4.544086 21\n",
"1 288 20111220 UV5 19 3.196886 14\n",
"2 358 20111220 UV5 25 4.249250 19\n",
"3 310 20111220 UV5 30 5.075867 22\n",
"4 300 20111220 UV5 31 5.361156 24"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Read the data\n",
"df = pd.read_csv(\"../../data/mRNA_FISH/Jones_Brewster_2014.csv\", index_col=0)\n",
"\n",
"# Remove the different controls with no mRNA\n",
"df = df[\n",
" (df.experiment != \"control\")\n",
" & (df.experiment != \"Control\")\n",
" & (df.experiment != \"Ctrl\")\n",
"]\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's plot the raw data for the *lacUV5* promoter used in the project."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 256,
"width": 367
}
},
"output_type": "display_data"
}
],
"source": [
"# Extract the lacUV5 data\n",
"dfUV5 = df[df.experiment == 'UV5']\n",
"\n",
"# Plot the histogram of the data with bins of width 1\n",
"_ = plt.hist(dfUV5.mRNA_cell, bins=np.arange(0, dfUV5.mRNA_cell.max()),\n",
" density=1, histtype='stepfilled', align='left', lw=0)\n",
"\n",
"# Label the plot\n",
"plt.xlabel('mRNA / cell')\n",
"plt.ylabel('probability')\n",
"plt.tight_layout()\n",
"plt.savefig(figdir + 'lacUV5_smFISH_data.pdf', bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Two-state unregulated promoter model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given the lack of agreement between the theory and the data at the protein level we will explore the possibility of using a two-state model for the unregulated promter where it transitions from an empty promoter to occupied by RNAP.\n",
"\n",
"[Peccoud & Ycart](http://www.sciencedirect.com/science/article/pii/S0040580985710271) first derived the mRNA distribution for a two-state promoter from the chemical master equation. This distribution is given by\n",
"\n",
"$$\n",
"\\scriptstyle\n",
"P(m) = {\\Gamma\\left( {\\kpon \\over \\gm} + m \\right) \\over\n",
" \\Gamma (m + 1) \\Gamma\\left( {\\kpon + \\kpoff \\over \\gm} + m \\right)}\n",
" {\\Gamma\\left( {\\kpon + \\kpoff \\over \\gm} \\right) \\over\n",
" \\Gamma\\left( {\\kpon \\over \\gm} \\right) } \n",
" \\left( {\\rm \\over \\gm} \\right)^m\n",
" {}_1F_1 \\left( {\\kpon \\over \\gm} + m, {\\kpoff + \\kpon \\over \\gm} + m,\n",
" {-\\rm \\over \\gm} \\right),\n",
"\\tag{1}\n",
"$$\n",
"where ${}_1F_1$ is the confluent hypergeometric function.\n",
"\n",
"Let's define a function that computes the log probability."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# define a np.frompyfunc that allows us to evaluate the sympy.mp.math.hyp1f1\n",
"np_log_hyp = np.frompyfunc(\n",
" lambda x, y, z: mpmath.ln(mpmath.hyp1f1(x, y, z, zeroprec=1000)), 3, 1\n",
")\n",
"\n",
"\n",
"def log_p_m_unreg(mRNA, kp_on, kp_off, gm, rm):\n",
" \"\"\"\n",
" Computes the log probability lnP(m) for an unregulated promoter, \n",
" i.e. the probability of having m mRNA.\n",
" \n",
" Parameters\n",
" ----------\n",
" mRNA : float.\n",
" mRNA copy number at which evaluate the probability. \n",
" kp_on : float.\n",
" rate of activation of the promoter in the chemical master equation\n",
" kp_off : float.\n",
" rate of deactivation of the promoter in the chemical master equation\n",
" gm : float.\n",
" 1 / half-life time for the mRNA.\n",
" rm : float.\n",
" production rate of the mRNA\n",
" \n",
" Returns\n",
" -------\n",
" log probability lnP(m)\n",
" \"\"\"\n",
" # Convert the mRNA copy number to a numpy array\n",
" mRNA = np.array(mRNA)\n",
"\n",
" # Compute the probability\n",
" lnp = (\n",
" scipy.special.gammaln(kp_on / gm + mRNA)\n",
" - scipy.special.gammaln(mRNA + 1)\n",
" - scipy.special.gammaln((kp_off + kp_on) / gm + mRNA)\n",
" + scipy.special.gammaln((kp_off + kp_on) / gm)\n",
" - scipy.special.gammaln(kp_on / gm)\n",
" + mRNA * np.log(rm / gm)\n",
" + np_log_hyp(kp_on / gm + mRNA, (kp_off + kp_on) / gm + mRNA, -rm / gm)\n",
" )\n",
"\n",
" return lnp.astype(float)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bayesian parameter inference"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We know that the model is homogeneous in time. What that means is that changing the time scale by a constant is equivalent to dividing all rates by the same constant. Therefore we can only hope to determine the parameter value in units of one of the rate constants. Therefore we will define $\\gm \\equiv 1$ and the rest of the inferred constants will be in units of this degradation rate.\n",
"\n",
"Given that we want to infer three parameters, $\\kpon$, $\\kpoff$ and $\\rm$ we can write Bayes theorem as\n",
"\n",
"$$\n",
"P(\\mathbf{p} \\mid D) = {P(D \\mid \\mathbf{p}) P(\\mathbf{p})\n",
"\\over P(D)},\n",
"\\tag{2}\n",
"$$\n",
"where $\\mathbf{p} = (\\kpon, \\kpoff, \\rm)$, and $D$ is the data. \n",
"\n",
"For the likelihood $P(D \\mid \\mathbf{p})$ we will assume each datum is independent, i.e.\n",
"\n",
"$$\n",
"P(D \\mid \\mathbf{p}) = \\prod_{m \\in D} P(m \\mid \\mathbf{p}),\n",
"\\tag{3}\n",
"$$\n",
"where each probability of obtaining $m$ mRNAs $P(m \\mid \\mathbf{p})$ is given by the solution of the chemical master equation as defined previously. Given our null prior knowledge about the parameters we will assume that all parameters are independent, and assign uniform distributions for strictly positive numbers, i.e.\n",
"\n",
"$$\n",
"P(\\mathbf{p}) = {1 \\over \\kpon {}^\\max - \\kpon {}^\\min} \\cdot\n",
" {1 \\over \\kpoff {}^\\max - \\kpoff {}^\\min} \\cdot\n",
" {1 \\over \\rm {}^\\max - \\rm {}^\\min}.\n",
"\\tag{4}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Constraining parameters with thermodynamic picture."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the case of this two-state promoter we know that the mean number of mRNA is given by\n",
"\n",
"$$\n",
"\\left\\langle m \\right\\rangle = {\\rm \\over \\gm} {\\kpon \\over \\kpon + \\kpoff},\n",
"\\tag{5}\n",
"$$\n",
"which is basically $\\rm / \\gm \\times p_{\\text{bound}}^{(p)}$, where $p_{\\text{bound}}^{(p)}$ is the probability of the RNAP being bound at the promoter.\n",
"\n",
"In the thermodynamic picture we have an equivalent result where the mean number of mRNA is given by\n",
"\n",
"$$\n",
"\\left\\langle m \\right\\rangle = {\\rm \\over \\gm} \n",
"{{P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p} \\over\n",
"1 + {P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p}},\n",
"\\tag{6}\n",
"$$\n",
"where $P$ is the number of RNAP per cell, $N_{NS}$ is the number of non-specific binding sites, $\\beta\\equiv {k_BT}^{-1}$ $\\Delta\\varepsilon_p$ is the RNAP binding energy in $k_BT$ units.\n",
"\n",
"Using these two equations we can easily see that if these frameworks are to be equivalent, then it must be true that\n",
"\n",
"$$\n",
"{\\kpon \\over \\kpoff} = {P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p},\n",
"\\tag{7}\n",
"$$\n",
"or\n",
"\n",
"$$\n",
"\\ln \\left({\\kpon \\over \\kpoff}\\right) = \n",
"-\\beta\\Delta\\varepsilon_p + \\ln P - \\ln N_{NS},\n",
"\\tag{8}\n",
"$$\n",
"\n",
"Since we don't exactly know the values of all parameters in the thermodynamic picture for RNAP because we constantly use the so-called \"weak promoter approximation\" where we ignore them we can't have a very strong prior on this ratio. But we know that the RNAP copy number is order $P \\approx 1000-3000$ RNAP/cell for our growth rate, we also know that $N_{NS} = 4.6\\times 10^6$, and $-\\beta\\Delta\\varepsilon_p \\approx 5 - 7 \\; k_BT$. Given these parameters we will define a *Gaussian prior* for the ratio of these two quantities of the form\n",
"\n",
"$$\n",
"P(\\kpon / \\kpoff) \\propto \\exp \n",
"\\left\\{ - {\\left(\\ln \\left({\\kpon \\over \\kpoff}\\right) - \n",
"\\left(-\\beta\\Delta\\varepsilon_p + \\ln P - \\ln N_{NS} \\right) \\right)^2 \n",
"\\over 2 \\sigma^2} \\right\\},\n",
"\\tag{9}\n",
"$$\n",
"where $\\sigma$ is the variance that will account for our uncertainty on the parameters for the RNAP.\n",
"\n",
"Let's then define a function to compute the log posterior"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def log_likelihood(params, data):\n",
" \"\"\"\n",
" Log likelihood for the mRNA two-state distribution.\n",
" Parameters\n",
" ----------\n",
" params : array-like. 3 x 1.\n",
" kp_on, kp_off, rm parameters for the steady state mRNA distribution\n",
" data : array-like. n x 2\n",
" data[:, 0] = unique mRNA counts\n",
" data[:, 1] = frequency of each mRNA count\n",
" \n",
" NOTE: The likelihood asks for unique mRNA entries and their corresponding \n",
" counts to speed up the process of computing the probability distribution. \n",
" Instead of computing the probability of 3 mRNAs n times, it computes it \n",
" once and multiplies the value by n.\n",
" \"\"\"\n",
" # Unpack parameters\n",
" kp_on, kp_off, rm = params\n",
" # Unpack data\n",
" mRNA, counts = data[:, 0], data[:, 1]\n",
" return np.sum(counts * log_p_m_unreg(mRNA, kp_on, kp_off, 1, rm))\n",
"\n",
"\n",
"def log_prior(params, pmax, thermo):\n",
" \"\"\"\n",
" Log prior for kinetic parameters.\n",
" Parameters\n",
" ----------\n",
" params : array-like. 3 x 1.\n",
" kp_on, kp_off, rm parameters for the steady state mRNA distribution\n",
" pmax : array-like. 3 x 1.\n",
" maximum value for the parameters given in the same order as params\n",
" thermo : array-like. 2 x 1.\n",
" thermo[0] = mean value for the thermodynamic constraint\n",
" thermo[1] = variance for the thermodynamic constraint\n",
" \n",
" \"\"\"\n",
" # Unpack parameters\n",
" kp_on, kp_off, rm = params\n",
" kp_on_max, kp_off_max, rm_max = pmax\n",
"\n",
" # Define uniform priors for parameters\n",
" if np.any(params < 1e-7):\n",
" return -np.inf\n",
"\n",
" if kp_on > kp_on_max or kp_off > kp_off_max or rm > rm_max:\n",
" return -np.inf\n",
"\n",
" return -((np.log(kp_on / kp_off) - thermo[0]) ** 2) / 2 / thermo[1] ** 2\n",
"\n",
"\n",
"def log_posterior(params, data, pmax, thermo, log_sampling=False):\n",
" \"\"\"\n",
" Log posterior\n",
" \"\"\"\n",
" # Boolean logic to sample in linear or in log scale\n",
" if log_sampling:\n",
" params = 10 ** params\n",
"\n",
" # Compute log prior\n",
" lp = log_prior(params, pmax, thermo)\n",
"\n",
" # If log prior is -inf, return that\n",
" if lp == -np.inf:\n",
" return -np.inf\n",
"\n",
" # Compute and return posterior\n",
" return lp + log_likelihood(params, data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For our Gaussian prior we have two variable numbers in this equation. On the one hand the RNAP copy number is reported to be within 1000 and 3000 per cell. On the other hand the binding energy is reported to vary between -5 and -7 $k_BT$. We set the mean value for both variables ($P = 2000$, $\\eP = -6 k_BT$) as the mean of the Gaussian prior and the difference between the lower bound of both values ($P = 1000$, $\\eP = -5 k_BT$) and the upper bound ($P = 1000$, $\\eP = -5 k_BT$) as the mean $\\pm 2 \\sigma$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Thermodynamic constraint = -1.74 + -0.85 - 0.70\n"
]
}
],
"source": [
"# Evaluate thermodynamic constraint\n",
"\n",
"# Define lambda function to compute the constraint\n",
"constraint = lambda P, eps: - eps + np.log(P) - np.log(4.6E6)\n",
"\n",
"# Compute the mean value of the constraint\n",
"thermo_mean = constraint(2000, -6)\n",
"\n",
"# Compute the upper and lower bound of the constraint\n",
"thermo_low = (constraint(1000, -5) - thermo_mean) / 2\n",
"thermo_high = (constraint(3000, -7) - thermo_mean) / 2\n",
"\n",
"# Print contraint\n",
"print('Thermodynamic constraint = {0:.2f} + {1:.2f} - {2:.2f}'.format(thermo_mean, thermo_low, thermo_high))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's now initialize the MCMC sampler"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Define the parameters for emcee\n",
"n_dim = 3 # number of parameters to fit\n",
"\n",
"n_walkers = 30\n",
"n_burn = 500\n",
"n_steps = 5000\n",
"\n",
"# generate counts of each of the mRNA values\n",
"counts = dfUV5.mRNA_cell.value_counts(sort=True)\n",
"# append it into a n x 2 numpy arrray\n",
"data = np.vstack([counts.index.values, counts.values]).T\n",
"# Define parameter maximum values\n",
"pmax = [20, 1000, 1000]\n",
"# Define thermodynamic constraint\n",
"thermo = [thermo_mean, np.mean(np.abs([thermo_low, thermo_high]))]\n",
"\n",
"# Initialize walkers\n",
"p0 = np.zeros([n_walkers, n_dim])\n",
"# Initialize kpon\n",
"p0[:, 0] = np.random.uniform(1e-5, 10, n_walkers)\n",
"# Initialize kpoff close to the ratio\n",
"p0[:, 1] = p0[:, 0] / np.exp(thermo_mean)\n",
"# initialize rm\n",
"p0[:, 2] = np.random.uniform(10, 100, n_walkers)\n",
"\n",
"\n",
"# Call the sampler.\n",
"sampler = emcee.EnsembleSampler(\n",
" n_walkers, n_dim, log_posterior, args=(data, pmax, thermo), threads=6\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's perform the sampling."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"sample = False\n",
"if sample:\n",
" # Do the burn in\n",
" print(\"performing burn-in\")\n",
" pos, prob, state = sampler.run_mcmc(p0, n_burn, storechain=False)\n",
" # Perform the real MCMC\n",
" print(\"performing MCMC\")\n",
" _ = sampler.run_mcmc(pos, n_steps)\n",
" output = open(\"../../data/mcmc/lacUV5_constitutive_mRNA_prior.pkl\", \"wb\")\n",
" print(\"done!\")\n",
" pickle.dump(sampler.flatchain, output)\n",
" pickle.dump(sampler.flatlnprobability, output)\n",
" output.close() # close it to make sure it's all been written"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having done this let's read the MCMC chain and have a corner plot."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 265,
"width": 362
}
},
"output_type": "display_data"
}
],
"source": [
"# Compute the empirical CDF\n",
"x, y = ccutils.stats.ecdf(dfUV5.mRNA_cell.values)\n",
"# Compute the theoretical CDF\n",
"cdf = np.cumsum(np.exp(logp_mRNA))\n",
"\n",
"plt.plot(x, y, label=\"sm-FISH data\")\n",
"plt.plot(bins, cdf, color=\"r\", ls=\"-\", label=\"two-state promoter fit\")\n",
"\n",
"plt.xlabel(\"mRNA / cell\")\n",
"plt.ylabel(\"cumulative distribution\")\n",
"plt.legend()\n",
"plt.savefig(figdir + \"lacUV5_two_state_CDF_mcmc_fit.pdf\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The agreement between theory and data seems to be very promising!\n",
"That means that the parameters inferred could be potentially meaningful."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Accounting for variability in number of promoters and distribution of cells along the cell cycle."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Jones et al. claim that the contribution to the noise in gene expression can be partially explained by the variability in gene copy number. For the locus in which our reporter construct is located (*galK*) and the growth rate at which cells grew for this data we expect to have ≈ 1.66 copies of the gene. This implies that the cells spend **2/3** of the cell cycle with **two copies** of the promoter and the rest with a single copy.\n",
"\n",
"Since for this data there is no labeling of the locus Jones et al. used area as a proxy for stage in the cell cycle. Therefore they took the bottom 1/3 of the cells as the population with a single copy of the promoter, and the top 2/3 of the cells as the cells having two copies. The assumption of having cells uniformly distributed along the cell cycle is not entirely correct. As first derived by [Powell in 1956](http://mic.microbiologyresearch.org/content/journal/micro/10.1099/00221287-15-3-492) a log-phase culture of cells must be exponentially distributed along the cell cycle in order to have ensemble averages to be stationary with respect to time. This distribution of cell-cycle state is then given by\n",
"\n",
"$$\n",
"P(a) = (\\ln 2) \\cdot 2^{1 - a},\n",
"\\tag{10}\n",
"$$\n",
"where $a \\in [0, 1]$ is the stage of the cell cycle, with $a = 0$ being the start and $a = 1$ being the cell division."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given this distribution if we again use the area as a proxy for cellular state taking the bottom 33% as cells with one promoter doesn't satisfy this distribution. To find a better threshold we must compute the CDF defined as\n",
"\n",
"$$\n",
"CDF(x) \\equiv P(a \\leq x) = \\int_0^x (\\ln 2) \\cdot 2^{1 - a}.\n",
"\\tag{11}\n",
"$$\n",
"\n",
"Solving this integral gives\n",
"\n",
"$$\n",
"CDF(x) = 2 \\left[1 - 2^{-x} \\right].\n",
"\\tag{12}\n",
"$$\n",
"\n",
"Setting $x = 1/3$ we can obtain the fraction of cells to take as cells with a single promoter."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 256,
"width": 366
}
},
"output_type": "display_data"
}
],
"source": [
"# Compute the area ECDF\n",
"x, y = ccutils.stats.ecdf(df[\"area_cells\"])\n",
"\n",
"# Find the value to separate small from large cells\n",
"frac = 1 / 3\n",
"fraction = 2 * (1 - 2 ** (-frac))\n",
"idx = (np.abs(y - fraction)).argmin()\n",
"threshold = x[idx]\n",
"\n",
"# Define colors for each group of cells\n",
"colors = sns.color_palette(\"Blues\", n_colors=3)[1::]\n",
"\n",
"with sns.axes_style(\n",
" \"white\",\n",
" {\n",
" \"axes.spines.bottom\": False,\n",
" \"axes.spines.left\": False,\n",
" \"axes.spines.right\": False,\n",
" \"axes.spines.top\": False,\n",
" },\n",
"):\n",
" # Plot this ECDF\n",
" plt.plot(x[::20], y[::20], lw=0, marker=\".\", color=\"k\")\n",
" # Plot vertical line next to the threshold\n",
" plt.plot([threshold, threshold], [0, 1], color=\"black\", linestyle=\"--\")\n",
"\n",
" # Fill the area for small and large cells\n",
" plt.axvspan(0, threshold, alpha=0.75, color=colors[0])\n",
" plt.axvspan(threshold, max(x[::20]), alpha=0.75, color=colors[1])\n",
"\n",
" # Label as small and large cells\n",
" plt.text(50, 0.5, \"small cells\", fontsize=10)\n",
" plt.text(400, 0.5, \"large cells\", fontsize=10)\n",
"\n",
" # Label plot\n",
" plt.xlabel(\"area (pixels)\")\n",
" plt.ylabel(\"ecdf\")\n",
" plt.margins(0.025)\n",
"\n",
"# Save figure\n",
"plt.tight_layout()\n",
"plt.savefig(figdir + \"area_division_expo.pdf\", bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's now extend the tidy dataframe to include the size information. Just as Jones et al. we will remove from the dataset for the inference cells that are 10% above and below the threshold for a \"cleaner\" cutoff."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
" area_cells date experiment mRNA_cell num_intens_totals \\\n",
"0 402 20111220 UV5 27 4.544086 \n",
"1 288 20111220 UV5 19 3.196886 \n",
"2 358 20111220 UV5 25 4.249250 \n",
"3 310 20111220 UV5 30 5.075867 \n",
"4 300 20111220 UV5 31 5.361156 \n",
"\n",
" spots_totals size \n",
"0 21 l \n",
"1 14 s \n",
"2 19 l \n",
"3 22 s \n",
"4 24 s "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Initialize array to save size classification\n",
"size = np.empty(len(dfUV5), dtype=str)\n",
"\n",
"# Define threshold for small cells\n",
"frac = (1 / 3) - (1 / 10)\n",
"fraction = 2 * (1 - 2 ** (-frac))\n",
"idx = (np.abs(y - fraction)).argmin()\n",
"threshold = x[idx]\n",
"# Determine which cells are considered small\n",
"size[dfUV5.area_cells < threshold] = \"s\"\n",
"\n",
"# Define threshold for large cells\n",
"frac = (1 / 3) + (1 / 10)\n",
"fraction = 2 * (1 - 2 ** (-frac))\n",
"idx = (np.abs(y - fraction)).argmin()\n",
"threshold = x[idx]\n",
"# Determine which cells are considered large\n",
"size[dfUV5.area_cells >= threshold] = \"l\"\n",
"\n",
"# Save information on data frame\n",
"dfUV5 = dfUV5.assign(size=size)\n",
"\n",
"# Remove unassigned cells\n",
"dfUV5 = dfUV5[dfUV5[\"size\"] != \"\"]\n",
"\n",
"dfUV5.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having split cells by area let's look at the distributions of these two populations next to each other."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"No handles with labels found to put in legend.\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 365,
"width": 471
}
},
"output_type": "display_data"
}
],
"source": [
"# Group them by size\n",
"df_group = dfUV5.groupby(\"size\")\n",
"\n",
"# Define labels for cell size\n",
"exps = [\"large\", \"small\"]\n",
"\n",
"# indicate bins\n",
"x = np.arange(dfUV5[\"mRNA_cell\"].max() + 1)\n",
"\n",
"# Initialize array to save distributions\n",
"px = np.zeros([len(exps), len(x)])\n",
"\n",
"# Loop through each group and save probability\n",
"for i, (group, data) in enumerate(df_group):\n",
" prob = data.mRNA_cell.value_counts(normalize=True, sort=False)\n",
" px[i, prob.index] = prob.values\n",
"\n",
"# Define colors\n",
"cmap = sns.color_palette(\"Blues\", n_colors=3)[::-1]\n",
"\n",
"ccutils.viz.pmf_cdf_plot(\n",
" x,\n",
" px,\n",
" exps,\n",
" xlabel=\"mRNA / cell\",\n",
" marker_size=100,\n",
" color_palette=cmap,\n",
" pmf_alpha=0.3,\n",
" pmf_edgecolor=cmap,\n",
" ylim=[0, np.max(px) * 1.2],\n",
" cbar_label=\"cell size\",\n",
")\n",
"\n",
"plt.savefig(figdir + \"lacUV5_mRNA_size_PMF_CDF_expo.pdf\", bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The distributions are definitely different. Let's look at the summary statistics for these two groups."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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1219.0
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16.0
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842.0
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"text/plain": [
" count mean std min 25% 50% 75% max\n",
"size \n",
"l 1219.0 22.478261 8.877018 1.0 16.0 21.0 28.0 76.0\n",
"s 842.0 13.262470 6.982311 0.0 8.0 12.0 17.0 45.0"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dfUV5['mRNA_cell'].groupby(dfUV5['size']).describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Defining the log posterior probability"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having split the cells into small and large cells we can again use Bayes theorem to fit the parameters. Just as before given that we want to infer three parameters, $\\kpon$, $\\kpoff$ and $\\rm$ we can write Bayes theorem as\n",
"\n",
"$$\n",
"P(\\mathbf{p} \\mid D) = {P(D \\mid \\mathbf{p}) P(\\mathbf{p})\n",
"\\over P(D)},\n",
"\\tag{13}\n",
"$$\n",
"where $\\mathbf{p} = (\\kpon, \\kpoff, \\rm)$, and $D$ is the data. In this case we can split the data $D$ into two groups $D_1$ for cells with 1 copy of the promoter and $D_2$ for cells with two promoters. If we assume that each datum is independent we have for the likelihood $P(D \\mid \\mathbf{p})$ that\n",
"\n",
"$$\n",
"P(D \\mid \\mathbf{p}) = \\prod_{m \\in D_1} P(m \\mid \\mathbf{p_1}) \\cdot\n",
"\\prod_{m \\in D_2} P(m \\mid \\mathbf{p_2}),\n",
"\\tag{14}\n",
"$$\n",
"where $\\mathbf{p_1} = (\\kpon, \\kpoff, \\rm)$ are the parameters for the single copy cell and $\\mathbf{p_2} = (\\kpon, \\kpoff, 2\\rm)$ are the parametres for cells with two copies. We obviously assume that the only difference between the single and double promoter cells is that the production rate duplicates for cells with two promoters."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As for the prior we have that the mean mRNA $\\ee{m}$ for this multi-promoter model is given by\n",
"\n",
"$$\n",
"\\ee{m} = \\phi \\ee{m}_1 + (1 - \\phi) \\ee{m}_2,\n",
"\\tag{15}\n",
"$$\n",
"wherea $\\phi$ is the probability of sampling a cell with one promoter, and $\\ee{m}_i$, $i \\in \\{1, 2 \\}$ is the mean copy number of mRNA expected at steady state with $i$ promoters. The probability $\\phi$ is given by\n",
"\n",
"$$\n",
"\\phi = \\int_0^f P(a)da.\n",
"\\tag{16}\n",
"$$\n",
"\n",
"Substituting these mean values with the theoretical expectation we obtain\n",
"\n",
"$$\n",
"\\ee{m} = \\phi {r_m \\over \\gm} {\\kpon \\over \\kpon + \\kpoff} +\n",
" (1 - \\phi) {2r_m \\over \\gm} {\\kpon \\over \\kpon + \\kpoff}.\n",
"\\tag{17}\n",
"$$\n",
"This can further be simplified to\n",
"\n",
"$$\n",
"\\ee{m} = (2 - \\phi) {r_m \\over \\gm} {{\\kpon \\over \\kpoff} \\over 1 + {\\kpon \\over \\kpoff}}.\n",
"\\tag{18}\n",
"$$\n",
"\n",
"When compared with the thermodynamic equivalent mean mRNA we find that\n",
"\n",
"$$\n",
"(2 - \\phi) {r_m \\over \\gm} {{\\kpon \\over \\kpoff} \\over 1 + {\\kpon \\over \\kpoff}} =\n",
"{r_m \\over \\gm}{{P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p} \\over\n",
"1 + {P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p}}.\n",
"\\tag{19}\n",
"$$\n",
"\n",
"Solving for ${\\kpon \\over \\kpoff}$ results in\n",
"\n",
"$$\n",
"\\left[ \\left(1 + {P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p}\\right) (2 - \\phi) \\right]\n",
"{\\kpon \\over \\kpoff} = {P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p}.\n",
"\\tag{20}\n",
"$$\n",
"Using the so-called weak promoter approximation where ${P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p}\\ll 1$, justified by the numerical values of these variables we arrive to a form for the prior of the form\n",
"\n",
"$$\n",
"{\\kpon \\over \\kpoff} \\approx {1 \\over 2 - \\phi}{P \\over N_{NS}} e^{-\\beta\\Delta\\varepsilon_p},\n",
"\\tag{21}\n",
"$$\n",
"or in log scale\n",
"\n",
"$$\n",
"\\ln \\left({\\kpon \\over \\kpoff}\\right) \\approx -\\ln(2 - \\phi) - \\beta\\Delta\\varepsilon_p + \\ln P -\\ln N_{NS}.\n",
"\\tag{22}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"def log_likelihood_double(params, data):\n",
" \"\"\"\n",
" Log likelihood for the mRNA two-state distribution.\n",
" Parameters\n",
" ----------\n",
" params : array-like. 3 x 1.\n",
" kp_on, kp_off, rm parameters for the steady state mRNA distribution\n",
" data : \n",
" data[0] : array-like. n x 2\n",
" data[0][:, 0] = unique mRNA counts for small cells\n",
" data[0][:, 1] = frequency of each mRNA count for small cells\n",
" data[1] : array-like. n x 2\n",
" data[1][:, 0] = unique mRNA counts for large cells\n",
" data[1][:, 1] = frequency of each mRNA count for large cells\n",
" \n",
" NOTE: The likelihood asks for unique mRNA entries and their corresponding \n",
" counts to speed up the process of computing the probability distribution. \n",
" Instead of computing the probability of 3 mRNAs n times, it computes it \n",
" once and multiplies the value by n.\n",
" \"\"\"\n",
" # Unpack parameters\n",
" kp_on, kp_off, rm = params\n",
" # Unpack data\n",
" mRNA_small, counts_small = data[0][:, 0], data[0][:, 1]\n",
" mRNA_large, counts_large = data[1][:, 0], data[1][:, 1]\n",
"\n",
" return np.sum(\n",
" counts_small * log_p_m_unreg(mRNA_small, kp_on, kp_off, 1, rm)\n",
" ) + np.sum(\n",
" counts_large * log_p_m_unreg(mRNA_large, kp_on, kp_off, 1, 2 * rm)\n",
" )\n",
"\n",
"\n",
"def log_prior_double(params, pmax, thermo):\n",
" \"\"\"\n",
" Log prior for kinetic parameters.\n",
" Parameters\n",
" ----------\n",
" params : array-like. 3 x 1.\n",
" kp_on, kp_off, rm parameters for the steady state mRNA distribution\n",
" pmax : array-like. 3 x 1.\n",
" maximum value for the parameters given in the same order as params\n",
" thermo : array-like. 2 x 1.\n",
" thermo[0] = mean value for the thermodynamic constraint\n",
" thermo[1] = variance for the thermodynamic constraint\n",
" \n",
" \"\"\"\n",
" # Unpack parameters\n",
" kp_on, kp_off, rm = params\n",
" kp_on_max, kp_off_max, rm_max = pmax\n",
"\n",
" # Define uniform priors for parameters\n",
" if np.any(params < 1e-7):\n",
" return -np.inf\n",
"\n",
" if kp_on > kp_on_max or kp_off > kp_off_max or rm > rm_max:\n",
" return -np.inf\n",
"\n",
" return -((np.log(kp_on / kp_off) - thermo[0]) ** 2) / 2 / thermo[1] ** 2\n",
"\n",
"\n",
"def log_posterior_double(params, data, pmax, thermo, log_sampling=False):\n",
" \"\"\"\n",
" Log posterior\n",
" \"\"\"\n",
" # Boolean logic to sample in linear or in log scale\n",
" if log_sampling:\n",
" params = 10 ** params\n",
"\n",
" # Compute log prior\n",
" lp = log_prior_double(params, pmax, thermo)\n",
"\n",
" # If log prior is -inf, return that\n",
" if lp == -np.inf:\n",
" return -np.inf\n",
"\n",
" # Compute and return posterior\n",
" return lp + log_likelihood_double(params, data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's prepare the MCMC run to obtain the parameter values."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For our Gaussian prior we have two variable numbers in this equation. On the one hand the RNAP copy number is reported to be within 1000 and 3000 per cell. On the other hand the binding energy is reported to vary between -5 and -7 $k_BT$. We set the mean value for both variables ($P = 2000$, $\\eP = -6 k_BT$) as the mean of the Gaussian prior and the difference between the lower bound of both values ($P = 1000$, $\\eP = -5 k_BT$) and the upper bound ($P = 1000$, $\\eP = -5 k_BT$) as the mean $\\pm 2 \\sigma$."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Thermodynamic constraint = -2.20 + -0.85 - 0.70\n"
]
}
],
"source": [
"# Evaluate thermodynamic constraint\n",
"\n",
"# Define lambda function to compute the constraint\n",
"constraint = (\n",
" lambda phi, P, eps: -np.log(2 - phi) - eps + np.log(P) - np.log(4.6e6)\n",
")\n",
"\n",
"# Compute the mean value of the constraint\n",
"frac = 1 / 3 # Fraction of the cell cycle with 1 promoter copy\n",
"phi = 2 * (\n",
" 1 - 2 ** (-frac)\n",
") # Probability of sampling a cell with a single promoter\n",
"thermo_mean = constraint(phi, 2000, -6)\n",
"\n",
"# Compute the upper and lower bound of the constraint\n",
"thermo_low = (constraint(phi, 1000, -5) - thermo_mean) / 2\n",
"thermo_high = (constraint(phi, 3000, -7) - thermo_mean) / 2\n",
"\n",
"# Print contraint\n",
"print(\n",
" \"Thermodynamic constraint = {0:.2f} + {1:.2f} - {2:.2f}\".format(\n",
" thermo_mean, thermo_low, thermo_high\n",
" )\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"# Define the parameters for emcee\n",
"n_dim = 3 # number of parameters to fit\n",
"\n",
"n_walkers = 30\n",
"n_burn = 500\n",
"n_steps = 5000\n",
"\n",
"# Splot DataFrame by area\n",
"dfUV5_small = dfUV5[dfUV5[\"area_cells\"] < threshold]\n",
"# generate counts of each of the mRNA values\n",
"counts = dfUV5_small.mRNA_cell.value_counts(sort=True)\n",
"# append it into a n x 2 numpy arrray\n",
"data_small = np.vstack([counts.index.values, counts.values]).T\n",
"\n",
"# Splot DataFrame by area\n",
"dfUV5_large = dfUV5[dfUV5[\"area_cells\"] > threshold]\n",
"# generate counts of each of the mRNA values\n",
"counts = dfUV5_large.mRNA_cell.value_counts(sort=True)\n",
"# append it into a n x 2 numpy arrray\n",
"data_large = np.vstack([counts.index.values, counts.values]).T\n",
"\n",
"# Join data sets\n",
"data = (data_small, data_large)\n",
"\n",
"# Define parameter maximum values\n",
"pmax = [20, 2500, 2500]\n",
"\n",
"# Define thermodynamic constraint\n",
"thermo = [thermo_mean, np.mean(np.abs([thermo_low, thermo_high]))]\n",
"\n",
"# Initialize walkers\n",
"p0 = np.zeros([n_walkers, n_dim])\n",
"# Initialize kpon\n",
"p0[:, 0] = np.random.uniform(1e-5, 10, n_walkers)\n",
"# Initialize kpoff close to the ratio\n",
"p0[:, 1] = p0[:, 0] / np.exp(thermo_mean)\n",
"# initialize rm\n",
"p0[:, 2] = np.random.uniform(10, 100, n_walkers)\n",
"\n",
"\n",
"# Call the sampler.\n",
"sampler = emcee.EnsembleSampler(\n",
" n_walkers,\n",
" n_dim,\n",
" log_posterior_double,\n",
" args=(data, pmax, thermo),\n",
" threads=6,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can run it!"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"sample = False\n",
"if sample:\n",
" # Do the burn in\n",
" print(\"performing burn-in\")\n",
" pos, prob, state = sampler.run_mcmc(p0, n_burn, storechain=False)\n",
" # Perform the real MCMC\n",
" print(\"performing MCMC\")\n",
" _ = sampler.run_mcmc(pos, n_steps)\n",
" output = open(\n",
" \"../../data/mcmc/\" + \"lacUV5_constitutive_mRNA_double_expo.pkl\", \"wb\"\n",
" )\n",
" print(\"done!\")\n",
" pickle.dump(sampler.flatchain, output)\n",
" pickle.dump(sampler.flatlnprobability, output)\n",
" output.close() # close it to make sure it's all been written"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having finished the sampling let's load the chains and plot the corner-plot."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 384,
"width": 384
}
},
"output_type": "display_data"
}
],
"source": [
"# Load the flat-chain\n",
"with open(\n",
" \"../../data/mcmc/lacUV5_constitutive_mRNA_double_expo.pkl\", \"rb\"\n",
") as file:\n",
" unpickler = pickle.Unpickler(file)\n",
" gauss_flatchain = unpickler.load()\n",
" gauss_flatlnprobability = unpickler.load()\n",
"\n",
"# Initialize subplot\n",
"fig, axes = plt.subplots(3, 3, figsize=(3.5, 3.5))\n",
"\n",
"# Draw the corner plot\n",
"fig = corner.corner(\n",
" gauss_flatchain,\n",
" bins=50,\n",
" plot_contours=True,\n",
" labels=[r\"$k^{(p)}_{on}$\", r\"$k^{(p)}_{off}$\", r\"$r_m$\"],\n",
" fig=fig,\n",
")\n",
"\n",
"plt.savefig(\n",
" figdir + \"lacUV5_mRNA_double_expo_corner_plot.pdf\", bbox_inches=\"tight\"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is a single peak again. The model is still obviously degenerated, but given our priors we can get at a value of the parameters represented by the single peak of the most likely parameter value.\n",
"Let's transform the chain in to a DataFrame."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
" kp_on kp_off rm\n",
"0 6.933279 303.854756 535.613114\n",
"1 6.933279 303.854756 535.613114\n",
"2 6.933279 303.854756 535.613114\n",
"3 6.933279 303.854756 535.613114\n",
"4 6.933279 303.854756 535.613114"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Load the flat-chain\n",
"with open(\n",
" \"../../data/mcmc/lacUV5_constitutive_mRNA_double_expo.pkl\", \"rb\"\n",
") as file:\n",
" unpickler = pickle.Unpickler(file)\n",
" gauss_flatchain = unpickler.load()\n",
" gauss_flatlnprobability = unpickler.load()\n",
"\n",
"# Generate a Pandas Data Frame with the mcmc chain\n",
"index = [\"kp_on\", \"kp_off\", \"rm\"]\n",
"\n",
"# Generate a data frame out of the MCMC chains\n",
"df_mcmc = pd.DataFrame(gauss_flatchain, columns=index)\n",
"\n",
"# rerbsine the index with the new entries\n",
"index = df_mcmc.columns\n",
"df_mcmc.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's find the most likely parameter along with the hpd."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"The most probable parameters for the model\n",
"------------------------------------------\n",
"kp_on = 6.4 -0.4 +0.8\n",
"kp_off = 132.1 -75.2 +737.9\n",
"rm = 257.2 -132.3 +1307.7\n",
"\n"
]
}
],
"source": [
"# map value of the parameters\n",
"max_idx = np.argmax(gauss_flatlnprobability, axis=0)\n",
"kpon_double, kpoff_double, rm_double = df_mcmc.iloc[max_idx, :]\n",
"\n",
"# ea range\n",
"kpon_hpd = ccutils.stats.hpd(df_mcmc.iloc[:, 0], 0.95)\n",
"kpoff_hpd = ccutils.stats.hpd(df_mcmc.iloc[:, 1], 0.95)\n",
"rm_hpd = ccutils.stats.hpd(df_mcmc.iloc[:, 2], 0.95)\n",
"\n",
"# Print results\n",
"print(\n",
" \"\"\"\n",
"The most probable parameters for the model\n",
"------------------------------------------\n",
"kp_on = {0:.1f} -{1:0.1f} +{2:0.1f}\n",
"kp_off = {3:.1f} -{4:0.1f} +{5:0.1f}\n",
"rm = {6:.1f} -{7:0.1f} +{8:0.1f}\n",
"\"\"\".format(\n",
" kpon_double,\n",
" np.abs(kpon_double - kpon_hpd[0]),\n",
" np.abs(kpon_double - kpon_hpd[1]),\n",
" kpoff_double,\n",
" np.abs(kpoff_double - kpoff_hpd[0]),\n",
" np.abs(kpoff_double - kpoff_hpd[1]),\n",
" rm_double,\n",
" np.abs(rm_double - rm_hpd[0]),\n",
" np.abs(rm_double - rm_hpd[1]),\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's conver these rates to $s^{-1}$."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"The most probable parameters for the model in seconds^-1\n",
"--------------------------------------------------------\n",
"kp_on = 0.036 -0.002 +0.004 s^-1\n",
"kp_off = 0.734 -0.418 +4.099 s^-1\n",
"rm = 1.429 -0.735 +7.265 s^-1\n",
"\n"
]
}
],
"source": [
"# Define mRNA rate\n",
"gm = 1 / (3 * 60) # s**-1\n",
"\n",
"# Print results\n",
"print(\n",
" \"\"\"\n",
"The most probable parameters for the model in seconds^-1\n",
"--------------------------------------------------------\n",
"kp_on = {0:.3f} -{1:0.3f} +{2:0.3f} s^-1\n",
"kp_off = {3:.3f} -{4:0.3f} +{5:0.3f} s^-1\n",
"rm = {6:.3f} -{7:0.3f} +{8:0.3f} s^-1\n",
"\"\"\".format(\n",
" kpon_double * gm,\n",
" np.abs(kpon_double - kpon_hpd[0]) * gm,\n",
" np.abs(kpon_double - kpon_hpd[1]) * gm,\n",
" kpoff_double * gm,\n",
" np.abs(kpoff_double - kpoff_hpd[0]) * gm,\n",
" np.abs(kpoff_double - kpoff_hpd[1]) * gm,\n",
" rm_double * gm,\n",
" np.abs(rm_double - rm_hpd[0]) * gm,\n",
" np.abs(rm_double - rm_hpd[1]) * gm,\n",
" )\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot the fit for this multi-promoter copy model."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 256,
"width": 367
}
},
"output_type": "display_data"
}
],
"source": [
"# Define bins\n",
"bins = np.arange(0, dfUV5.mRNA_cell.max())\n",
"\n",
"# Compute the probability using a two-copy promoter\n",
"frac = 1 / 3\n",
"fraction = 2 * (1 - 2 ** (-frac))\n",
"\n",
"logp_mRNA_double = fraction * log_p_m_unreg(\n",
" bins, kpon_double, kpoff_double, 1, rm_double\n",
") + (1 - fraction) * log_p_m_unreg(\n",
" bins, kpon_double, kpoff_double, 1, 2 * rm_double\n",
")\n",
"# Re-Normalize distribution\n",
"logp_mRNA_double = logp_mRNA_double - scipy.special.logsumexp(logp_mRNA_double)\n",
"\n",
"# Plot the histogram of the data with bins of width 1\n",
"_ = plt.hist(\n",
" dfUV5.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"stepfilled\",\n",
" alpha=0.75,\n",
" label=\"experimental data\",\n",
" align=\"left\",\n",
" lw=0,\n",
")\n",
"\n",
"plt.step(bins, np.exp(logp_mRNA_double), lw=1.5, label=\"multi-promoter fit\")\n",
"\n",
"# Label the plot\n",
"plt.xlabel(\"mRNA / cell\")\n",
"plt.ylabel(\"probability\")\n",
"plt.legend()\n",
"\n",
"plt.tight_layout()\n",
"plt.savefig(\n",
" figdir + \"lacUV5_two_state_mcmc_multi_copy_expo.pdf\", bbox_inches=\"tight\"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's plot the single and double promoter distributions separated with their corresponding predictions."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 256,
"width": 367
}
},
"output_type": "display_data"
}
],
"source": [
"# Define colors for each group of cells\n",
"colors = sns.color_palette(\"Blues\", n_colors=3)[1::]\n",
"\n",
"# Define bins\n",
"bins = np.arange(0, dfUV5.mRNA_cell.max())\n",
"\n",
"# Compute the probability\n",
"logp_mRNA_small = log_p_m_unreg(bins, kpon_double, kpoff_double, 1, rm_double)\n",
"logp_mRNA_large = log_p_m_unreg(\n",
" bins, kpon_double, kpoff_double, 1, 2 * rm_double\n",
")\n",
"\n",
"# Plot the histogram of the data with bins of width 1\n",
"plt.hist(\n",
" dfUV5_small.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"stepfilled\",\n",
" alpha=0.3,\n",
" label=\"small cells sm-FISH\",\n",
" align=\"left\",\n",
" color=colors[0],\n",
" edgecolor=colors[0],\n",
")\n",
"plt.hist(\n",
" dfUV5_small.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"step\",\n",
" label=\"\",\n",
" align=\"left\",\n",
" lw=0.5,\n",
" edgecolor=colors[0],\n",
")\n",
"\n",
"\n",
"plt.hist(\n",
" dfUV5_large.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"stepfilled\",\n",
" alpha=0.3,\n",
" label=\"large cells sm-FISH\",\n",
" align=\"left\",\n",
" color=colors[1],\n",
" edgecolor=colors[1],\n",
" lw=2,\n",
")\n",
"plt.hist(\n",
" dfUV5_large.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"step\",\n",
" label=\"\",\n",
" align=\"left\",\n",
" lw=0.5,\n",
" edgecolor=colors[1],\n",
")\n",
"\n",
"# Plot theoretical predictions\n",
"\n",
"plt.step(\n",
" bins,\n",
" np.exp(logp_mRNA_small),\n",
" color=colors[0],\n",
" ls=\"-\",\n",
" lw=1.5,\n",
" label=\"one promoter\",\n",
")\n",
"plt.step(\n",
" bins,\n",
" np.exp(logp_mRNA_large),\n",
" color=colors[1],\n",
" ls=\"-\",\n",
" lw=1.5,\n",
" label=\"two promoters\",\n",
")\n",
"\n",
"# Label the plot\n",
"plt.xlabel(\"mRNA / cell\")\n",
"plt.ylabel(\"probability\")\n",
"_ = plt.legend()\n",
"plt.tight_layout()\n",
"plt.savefig(\n",
" figdir + \"lacUV5_two_state_mcmc_multi_copy_expo_split.pdf\",\n",
" bbox_inches=\"tight\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again very good fits for both populations. This suggests that the use of area as a proxy for cell state is not such a terrible approximation, and that the fact that large cells have a production rate of $2 r_m$ is also a good assumption."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's plot the single and split distribution on the same figure now"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 257,
"width": 655
}
},
"output_type": "display_data"
}
],
"source": [
"# Initialize figure\n",
"fig, ax = plt.subplots(1, 2, figsize=(6, 2.5), sharey=False, sharex=True)\n",
"\n",
"## Plot the single distribution ##\n",
"# Define bins\n",
"bins = np.arange(0, dfUV5.mRNA_cell.max())\n",
"\n",
"# Compute the probability using a two-copy promoter\n",
"frac = 1 / 3\n",
"fraction = 2 * (1 - 2 ** (-frac))\n",
"\n",
"logp_mRNA_double = fraction * log_p_m_unreg(\n",
" bins, kpon_double, kpoff_double, 1, rm_double\n",
") + (1 - fraction) * log_p_m_unreg(\n",
" bins, kpon_double, kpoff_double, 1, 2 * rm_double\n",
")\n",
"# Re-Normalize distribution\n",
"logp_mRNA_double = logp_mRNA_double - scipy.special.logsumexp(logp_mRNA_double)\n",
"\n",
"# Plot the histogram of the data with bins of width 1\n",
"_ = ax[0].hist(\n",
" dfUV5.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"stepfilled\",\n",
" alpha=0.75,\n",
" label=\"sm-FISH data\",\n",
" align=\"left\",\n",
" lw=0,\n",
")\n",
"\n",
"ax[0].step(bins, np.exp(logp_mRNA_double), lw=1.5, label=\"multi-promoter fit\")\n",
"\n",
"## Plot split distributions ##\n",
"# Define colors for each group of cells\n",
"colors = sns.color_palette(\"Blues\", n_colors=3)[1::]\n",
"\n",
"# Compute the probability\n",
"logp_mRNA_small = log_p_m_unreg(bins, kpon_double, kpoff_double, 1, rm_double)\n",
"logp_mRNA_large = log_p_m_unreg(\n",
" bins, kpon_double, kpoff_double, 1, 2 * rm_double\n",
")\n",
"\n",
"# Plot the histogram of the data with bins of width 1\n",
"ax[1].hist(\n",
" dfUV5_small.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"stepfilled\",\n",
" alpha=0.3,\n",
" label=\"small cells sm-FISH\",\n",
" align=\"left\",\n",
" color=colors[0],\n",
" edgecolor=colors[0],\n",
")\n",
"ax[1].hist(\n",
" dfUV5_small.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"step\",\n",
" label=\"\",\n",
" align=\"left\",\n",
" lw=0.5,\n",
" edgecolor=colors[0],\n",
")\n",
"\n",
"\n",
"ax[1].hist(\n",
" dfUV5_large.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"stepfilled\",\n",
" alpha=0.3,\n",
" label=\"large cells sm-FISH\",\n",
" align=\"left\",\n",
" color=colors[1],\n",
" edgecolor=colors[1],\n",
" lw=2,\n",
")\n",
"ax[1].hist(\n",
" dfUV5_large.mRNA_cell,\n",
" bins=bins,\n",
" density=1,\n",
" histtype=\"step\",\n",
" label=\"\",\n",
" align=\"left\",\n",
" lw=0.5,\n",
" edgecolor=colors[1],\n",
")\n",
"\n",
"# Plot theoretical predictions\n",
"\n",
"ax[1].step(\n",
" bins,\n",
" np.exp(logp_mRNA_small),\n",
" color=colors[0],\n",
" ls=\"-\",\n",
" lw=1.5,\n",
" label=\"one promoter\",\n",
")\n",
"ax[1].step(\n",
" bins,\n",
" np.exp(logp_mRNA_large),\n",
" color=colors[1],\n",
" ls=\"-\",\n",
" lw=1.5,\n",
" label=\"two promoters\",\n",
")\n",
"\n",
"# Label the plots\n",
"ax[0].set_xlabel(\"mRNA / cell\")\n",
"ax[1].set_xlabel(\"mRNA / cell\")\n",
"\n",
"ax[0].set_ylabel(\"probability\")\n",
"ax[1].set_ylabel(\"probability\")\n",
"\n",
"# Set legend\n",
"ax[0].legend()\n",
"ax[1].legend()\n",
"\n",
"# Add labels to plots\n",
"plt.figtext(0.01, 0.9, \"(A)\", fontsize=8)\n",
"plt.figtext(0.5, 0.9, \"(B)\", fontsize=8)\n",
"\n",
"# Save figure\n",
"plt.tight_layout()\n",
"plt.savefig(figdir + \"lacUV5_multi_prom_fit.pdf\", bbox_inches=\"tight\")"
]
}
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