netflowpy

A python tool to optimize chemical concentration trajectories in network-based chemical systems

https://github.com/robaina/netflowpy

Science Score: 44.0%

This score indicates how likely this project is to be science-related based on various indicators:

  • CITATION.cff file
    Found CITATION.cff file
  • codemeta.json file
    Found codemeta.json file
  • .zenodo.json file
    Found .zenodo.json file
  • DOI references
  • Academic publication links
  • Committers with academic emails
  • Institutional organization owner
  • JOSS paper metadata
  • Scientific vocabulary similarity
    Low similarity (6.5%) to scientific vocabulary

Keywords

alternative-optima bioinformatics chemical-networks chemistry computational-biology dynamical-systems linear-programming metabolic-networks metabolism optimization python
Last synced: 4 months ago · JSON representation ·

Repository

A python tool to optimize chemical concentration trajectories in network-based chemical systems

Basic Info
Statistics
  • Stars: 3
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 1
Topics
alternative-optima bioinformatics chemical-networks chemistry computational-biology dynamical-systems linear-programming metabolic-networks metabolism optimization python
Created over 5 years ago · Last pushed about 3 years ago
Metadata Files
Readme License Citation

README.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring network constraints on concentration dynamics\n",
    "\n",
    "### Semidán Robaina Estévez\n",
    "\n",
    "(also published in [my blog](https://semidanrobaina.com/blog/posts/evaluating-chemical-network-dynamics-without-kinetics))\n",
    "\n",
    "Reaction networks are models of (bio)chemical systems in which chemical species are interconverted through the action of chemical reactions. Typically, a reaction network is represented by its stoichiometrix matrix $S$, in which each entry $s_{ij}$ denotes the stoichiometric coefficients with which species $i$ participates in reaction $j$ — negative coefficients are assigned to substrates of the reaction, while positive to products. Since most species only participate in a small set of reactions, $S$ is typically sparse.\n",
    "\n",
    "Suppose that we are interested in evaluating the concentration dynamics of the chemical species in a homogeneous chemical system. We can model that with a system of ordinary differential equations:\n",
    "\n",
    "\\begin{equation}\n",
    "  \\frac{d}{dt} x_i = \\sum_j s_{ij} v_j,\n",
    "\\label{eq:1}\n",
    "\\tag{1}\n",
    "\\end{equation}\n",
    "\n",
    "with $x_i$ representing the concentration of species $i$ and $v_j$ the flux through reaction $j$. However, to this end, we need to assign a reaction kinetic to the system. The simplest reaction kinetic is the [Mass Action Kinetic](https://en.wikipedia.org/wiki/Law_of_mass_action), which models a homogeneous, no enzymatically catalyzed system:\n",
    "\n",
    "\\begin{equation}\n",
    "  v_j = k_j \\prod_{i\\in Subs} x_i^{s_{ij}}.\n",
    "  \\label{eq:2}\n",
    "  \\tag{2}\n",
    "\\end{equation}\n",
    "\n",
    "That is, the flux $v_j$ through a reaction is modelled as a monomial on the concentrations of the reaction substrates. Parameter $k_j$, the reaction rate constant, captures the speed at which the reaction takes place given fixed substrate concentatrions. There are, however, other reaction kinetics, such as the [Michaelis-Menten formalism](https://en.wikipedia.org/wiki/Michaelis%E2%80%93Menten_kinetics) and its variants, which model enzyme-catalyzed reactions.\n",
    "\n",
    "Reaction kinetics are crucial to investigate chemical dynamics. Unfortunately, the parameterization of such systems is not straighforward. Oftentimes, a large fraction of parameter values are not accessible, which makes their investigation complicated. However, in such escenarios, it may still be possible to evaluate how network and stoichiometric constraints affect concentration dynamics. Specifically, we can apply [constraint-based modeling techniques](https://en.wikipedia.org/wiki/Metabolic_network_modelling) to the linear system in eq \\ref{eq:1}.\n",
    "\n",
    "In constraint-based metabolic modeling, a steady-state scenario is typically assumed, i.e, we have $Sv=0$. Thus, we can only interrogate the space of steady-state flux values for all reactions in a system. For instance, the most popular constraint-based metabolic modeling method is the so-called Flux Balance Analysis, which typically solves the following Linear Program (LP):\n",
    "\n",
    "\\begin{align}\n",
    "  \\begin{aligned}\n",
    "    &\\max_v c^T v\n",
    "    \\\\\n",
    "    &\\mathrm{s.t.}\n",
    "    \\\\\n",
    "    &Sv=0\n",
    "    \\\\\n",
    "    &v_{min} \\le v \\le v_{max}.\n",
    "  \\end{aligned}\n",
    "\\label{eq:3}\n",
    "\\tag{3}\n",
    "\\end{align}\n",
    "\n",
    "In eq \\ref{eq:3} a linear function of the reaction fluxes $v$ is optimized over the feasible space corresponding to the system at steady state with some boundary conditions on the reaction fluxes. However, there is nothing preventing us from exploring the feasible space around the steady state condition, i.e., using the constraint $\\dot x_{min} \\le Sv \\le \\dot x_{max}$ in which the dot notation represents the first derivative. Moreover, we can discretize time and define $x_{t+1} = x_t + \\dot x_t$ for each fixed time period $t$. Hence, we could define variables $x_t$ representing the concentrations of chemical species at each time step, $t \\in {0,\\dots,n}$. This way, we would be able to explore the feasible space of concentration values of our system in eq \\ref{eq:1}, provided suitable bounds are given for each variable and, of course, only for a time-discretized system.\n",
    "\n",
    "Putting together the previous ideas, we arrive at the LP:\n",
    "\n",
    "\\begin{align}\n",
    "  \\begin{aligned}\n",
    "    &Z = \\max_{v_t,\\dot x_t,x_t} \\sum_{t\\,=\\,0}^{t_f}\\phi(x_t)\n",
    "    \\\\\n",
    "    &\\mathrm{s.t.}\n",
    "    \\\\\n",
    "    &1.\\;Sv_t = \\dot x_t\n",
    "    \\\\\n",
    "    &2.\\;x_{t+1} = x_t + \\dot x_t\n",
    "    \\\\\n",
    "    &3.\\;v^{lb}_t \\leq v_t \\leq v^{ub}_t\n",
    "    \\\\\n",
    "    &4.\\;\\dot x^{lb}_t \\leq \\dot x_t \\leq \\dot x^{ub}_t\n",
    "    \\\\\n",
    "    &5.\\;x_t \\geq 0\n",
    "    \\\\\n",
    "    &t = \\{0,\\dots,t_f\\}.\n",
    "  \\end{aligned}\n",
    "  \\label{eq:4}\n",
    "  \\tag{4}\n",
    "\\end{align}\n",
    "\n",
    "In LP \\ref{eq:4}, we maximize the sum of linear function of the concentrations, $x_t$, over all time steps $t$. For instance, we could maximize the total concentration of chemical species $x_{it}$ over all time steps, i.e., the discrete equivalent of the integral over the time period. However, we can modify the objective function at our convinience. Note that we impose bounds on the derivatives at each time step, $\\dot x_t$. These constraints are crucial to render the feasible space of LP \\ref{eq:4} realistic, i.e., constraining the increase or decrease in concentration that the system can maintain in each time step. To further render the feasible space more realistic, we can add a constraint to control the change in flux values between time steps: $v_{t + 1} = v_t + \\delta$, with $\\delta_{min} \\leq \\delta \\leq \\delta_{max}$. In this manner, we impose a notion of continuity between time steps, avoiding large jumps in flux values between time steps.\n",
    "\n",
    "### Exploring the optimal space of concentration dynamics\n",
    "Solving LP \\ref{eq:4} will render a single optimal solution. However, the system will most likely be proned to host a space of alternative optimal solutions, a situaltion that is common in constraint-based metabolic modeling setups. We can explore the space of alternative optimal concentration trajectories in two ways. On the one hand, we can compute the minimum and maximum concentration values for each chemical species along the trajectory. On the other hand, we can randomly sample the space of alternative optimal concentration trajectories, e.g, to conduct statistical analyses on them.\n",
    "\n",
    "First, let's adapt LP \\ref{eq:4} to compute the concentration bounds along the trajectory. Specifically, we need to solve the following two LPs for each $x_{it},\\;i\\in \\{1,\\dots,m\\},\\;t\\in\\{t_0,\\dots,t_f\\}$ to compute the maximum and minimum concentrations for each time step:\n",
    "\n",
    "\\begin{align}\n",
    "  \\begin{aligned}\n",
    "    & x^{\\mathrm{min}}_{it},\\; x^{\\mathrm{max}}_{it} = \\min_{v_t,\\dot x_t,x_t} x_{it}, \\;\\max_{v_t,\\dot x_t,x_t} x_{it}\n",
    "    \\\\\n",
    "    &\\mathrm{s.t.}\n",
    "    \\\\\n",
    "    &1.\\;Sv_t = \\dot x_t\n",
    "    \\\\\n",
    "    &2.\\;x_{t+1} = x_t + \\dot x_t\n",
    "    \\\\\n",
    "    &3.\\;v^{lb}_t \\leq v_t \\leq v^{ub}_t\n",
    "    \\\\\n",
    "    &4.\\;\\dot x^{lb}_t \\leq \\dot x_t \\leq \\dot x^{ub}_t\n",
    "    \\\\\n",
    "    &5.\\;x_t \\geq 0\n",
    "    \\\\\n",
    "    &6.\\;\\sum_{t\\,=\\,0}^{t_f}\\phi(x_t) = Z\n",
    "    \\\\\n",
    "    &t = \\{0,...,t_f\\},\n",
    "  \\end{aligned}\n",
    "  \\label{eq:5}\n",
    "  \\tag{5}\n",
    "\\end{align}\n",
    "\n",
    "where $Z$ corresponds to the optimal value of the objective function in LP \\ref{eq:4}. Now that we can compute the concentration bounds in the optimal solution space, we can proceed to generate a random sample of optimal concentration trajectories. To this end, we first generate a random vector of concentration trajectories, $x_{\\mathrm{rand}}$, and then find the closest point in the optimal soluction space. To this end, we can employ the first norm: $\\epsilon = ||x - x_{\\mathrm{rand}}||_1 = \\sum_k |x_k - x_{\\mathrm{rand}k}|$. However, to facilitate the computation, we will employ the transformation: $\\epsilon^+ - \\epsilon^- = ||x - x_{\\mathrm{rand}}||_1$, with $\\epsilon^+, \\epsilon^- \\ge 0$. The solution to the following LP generates a random trajectories which achieve the same optimal value, $Z$, of LP \\ref{eq:4}:\n",
    "\n",
    "\\begin{align}\n",
    "  \\begin{aligned}\n",
    "  &\\min_{\\substack{v_t,\\dot x_t,x_t,\\\\ \\epsilon_t^+,\\epsilon_t^-}} \\sum_{i=1}^{m} \\sum_{t=0}^{t_f+1} (\\epsilon_{it}^+ + \\epsilon_{it}^-)\n",
    "  \\\\\n",
    "  &\\mathrm{s.t.}\n",
    "  \\\\\n",
    "  &1.\\;Sv_t = \\dot x_t\n",
    "  \\\\\n",
    "  &2.\\;x_{t+1} = x_t + \\dot x_t\n",
    "  \\\\\n",
    "  &3.\\;v^{lb}_t \\leq v_t \\leq v^{ub}_t\n",
    "  \\\\\n",
    "  &4.\\;\\dot x^{lb}_t \\leq \\dot x_t \\leq \\dot x^{ub}_t\n",
    "  \\\\\n",
    "  &5.\\;x_t \\geq 0\n",
    "  \\\\\n",
    "  &6.\\;\\sum_{t\\,=\\,0}^{t_f}\\phi(x_t) = Z\n",
    "  \\\\\n",
    "  &7.\\;x_{t} - x_{\\mathrm{rand}_t} = \\epsilon_{t}^+ - \\epsilon_{t}^-\n",
    "  \\\\\n",
    "  &8.\\;\\epsilon_t^+,\\;\\epsilon_{t}^+ \\geq 0\n",
    "  \\\\\n",
    "  &t = \\{0,\\dots,t_f\\}.\n",
    "  \\end{aligned}\n",
    "  \\label{eq:6}\n",
    "  \\tag{6}\n",
    "\\end{align}\n",
    "\n",
    "We just need to repeat the process of generating $x_{\\mathrm{rand}}$ and solving LP \\ref{eq:6} $n$ times to collect a sample of size $n$ of alternative optimal concentration trajectories for our chemical system.\n",
    "\n",
    "### An illustration\n",
    "Let's exemplify the methods presented in the previous section with the following chemical network:\n",
    "\n",
    "\"Fig1\"\n",
    "\n",
    "with chemical species, $A,B,C,D,E,F$ and reactions $v_1,v_2,v_3,v_4,v_5$, which has stoichiometric matrix:\n",
    "\n",
    "$$S = \n",
    "\\begin{pmatrix}\n",
    "    -1 &  0 &  0 & -1 &  0\\\\\n",
    "    -1 &  0 &  0 &  0 &  0\\\\\n",
    "    2 & -1 &  1 &  0 & -1\\\\\n",
    "    0 &  1 &  0 &  0 &  0\\\\\n",
    "    0 &  0 & -1 &  1 &  1\\\\\n",
    "    0 &  1 &  0 &  0 &  0\\\n",
    "\\end{pmatrix}.$$\n",
    "\n",
    "We will use LPs \\ref{eq:4},\\ref{eq:5},\\ref{eq:6} to explore the alternative optimal space resulting from maximizing the total concentration, i.e., sum over all time steps, of species $C$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from networkflow import NetworkFlow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = np.array([\n",
    "    [-1,0,0,-1,0],\n",
    "    [-1,0,0,0,0],\n",
    "    [2,-1,1,0,-1],\n",
    "    [0,1,0,0,0],\n",
    "    [0,0,-1,1,1],\n",
    "    [0,1,0,0,0]\n",
    "])\n",
    "\n",
    "var_names = ['A', 'B', 'C', 'D', 'E', 'F']\n",
    "flux_names=['v1', 'v2', 'v3', 'v4', 'v5']\n",
    "# Define initial conditions\n",
    "var_x0 = [10, 5, 5, 1, 2, 2]\n",
    "\n",
    "Network = NetworkFlow(S, obj_x='C', n_steps=100, \n",
    "                      x_names=var_names, x_0=var_x0,\n",
    "                      xp_min=-10, xp_max=10, v_names=flux_names, \n",
    "                      v_delta_max=0.1)\n",
    "\n",
    "Network.solve(verbose=False)\n",
    "Network.findAlternativeOptimaBounds()\n",
    "Network.sampleAlternativeOptimaSpace(n_samples=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Network.plotXSolution('A')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Network.plotXSolution('B')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Network.plotXSolution('C')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Network.plotXSolution('D')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Network.plotXSolution('E')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Network.plotXSolution('F')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Results and Discussion\n", "\n", "The figures above show the minimum and maximum concentration bounds, depicted in blue and red, respectively, as well as a random sample of optimal trajectories, light gray, and their average, dark gray, for all five chemical species in our example network — remember that in this esceneraio we were optimizing the sum over time steps of the concentration of species $C$.\n", "\n", "We observe that some species show more constrained trajectories than others. Specifically, species $B$ is the most constrained, with a single optimal trajectory in the alternative optimal space. This single trajectory simply corresponds to the fastest allowed, that is, per our constraints, consumption, since $B$ is required to produce $C$ and it is only consumed, not produced, by the network. However, we see that the rest of species show different degrees of variability in their optimal trajectories — being $C, E$ the species displaying the most variable optimal trajectories." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### References" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.12" }, "vscode": { "interpreter": { "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" } } }, "nbformat": 4, "nbformat_minor": 4 }

Owner

  • Name: Semidán Robaina
  • Login: Robaina
  • Kind: user
  • Location: Atlantic Ocean
  • Company: Hapdera

Computational Biology | Data Science | Python Dev. | Ph.D. Systems Biology

Citation (CITATION.cff)

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
  - family-names: "Robaina-Estévez"
    given-names: "Semidán"
    orcid: "https://orcid.org/0000-0003-0781-1677"
title: "Netflowpy: exploring network constraints on concentration dynamics in Python"
version: 0.0.1
doi: 10.5281/zenodo.7018381
date-released: 2022-08-24
url: "https://github.com/Robaina/Netflowpy"

GitHub Events

Total
Last Year

Committers

Last synced: 7 months ago

All Time
  • Total Commits: 14
  • Total Committers: 1
  • Avg Commits per committer: 14.0
  • Development Distribution Score (DDS): 0.0
Past Year
  • Commits: 0
  • Committers: 0
  • Avg Commits per committer: 0.0
  • Development Distribution Score (DDS): 0.0
Top Committers
Name Email Commits
Semidán Robaina Estévez s****a@g****m 14

Issues and Pull Requests

Last synced: 7 months ago

All Time
  • Total issues: 0
  • Total pull requests: 0
  • Average time to close issues: N/A
  • Average time to close pull requests: N/A
  • Total issue authors: 0
  • Total pull request authors: 0
  • Average comments per issue: 0
  • Average comments per pull request: 0
  • Merged pull requests: 0
  • Bot issues: 0
  • Bot pull requests: 0
Past Year
  • Issues: 0
  • Pull requests: 0
  • Average time to close issues: N/A
  • Average time to close pull requests: N/A
  • Issue authors: 0
  • Pull request authors: 0
  • Average comments per issue: 0
  • Average comments per pull request: 0
  • Merged pull requests: 0
  • Bot issues: 0
  • Bot pull requests: 0
Top Authors
Issue Authors
Pull Request Authors
Top Labels
Issue Labels
Pull Request Labels