#!/usr/bin/env python
# coding: utf-8
# ### One-bin `2A <-> 3B` reaction, with 1st-order kinetics in both directions, taken to equilibrium
#
# Diffusion not applicable (just 1 bin)
#
# LAST REVISED: June 4, 2023
# In[1]:
import set_path # Importing this module will add the project's home directory to sys.path
# In[2]:
from experiments.get_notebook_info import get_notebook_basename
from src.modules.reactions.reaction_data import ChemData as chem
from src.modules.reactions.reaction_dynamics import ReactionDynamics
from src.life_1D.bio_sim_1d import BioSim1D
import plotly.express as px
from src.modules.html_log.html_log import HtmlLog as log
from src.modules.visualization.graphic_log import GraphicLog
# In[3]:
# Initialize the HTML logging
log_file = get_notebook_basename() + ".log.htm" # Use the notebook base filename for the log file
# Set up the use of some specified graphic (Vue) components
GraphicLog.config(filename=log_file,
components=["vue_cytoscape_1"],
extra_js="https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js")
# In[4]:
# Initialize the system
chem_data = chem(names=["A", "B"]) # NOTE: Diffusion not applicable (just 1 bin)
# Reaction 2A <-> 3B , with 1st-order kinetics in both directions
chem_data.add_reaction(reactants=[(2,"A")], products=[(3,"B")], forward_rate=5., reverse_rate=2.)
bio = BioSim1D(n_bins=1, chem_data=chem_data)
bio.set_uniform_concentration(species_index=0, conc=10.)
bio.set_uniform_concentration(species_index=1, conc=50.)
bio.describe_state()
# In[5]:
# Save the state of the concentrations of all species at bin 0
bio.add_snapshot(bio.bin_snapshot(bin_address = 0), caption="Initial state")
bio.get_history()
# In[6]:
chem_data.describe_reactions()
# In[7]:
# Send the plot to the HTML log file
graph_data = chem_data.prepare_graph_network()
GraphicLog.export_plot(graph_data, "vue_cytoscape_1")
# ### First step
# In[8]:
# First step
bio.react(time_step=0.05, n_steps=1)
bio.describe_state()
# _Early in the reaction :_
# [A] = 15. [B] = 42.5
#
# We're taking a smaller first step than in experimetn "reaction_2", to avoid over-shooting the equilibrium value with too large a step!
# In[9]:
# Save the state of the concentrations of all species at bin 0
bio.add_snapshot(bio.bin_snapshot(bin_address = 0))
bio.get_history()
# ### Numerous more steps
# In[10]:
# Numerous more steps
bio.react(time_step=0.1, n_steps=100, snapshots={"sample_bin": 0})
bio.describe_state()
# ### Equilibrium
# Consistent with the 5/2 ratio of forward/reverse rates (and the 1st order reactions),
# the systems settles in the following equilibrium: [A] = 16.25 , [B] = 40.625
# In[11]:
# Verify that the reaction has reached equilibrium
bio.reaction_dynamics.is_in_equilibrium(rxn_index=0, conc=bio.bin_snapshot(bin_address = 0))
# In[12]:
bio.get_history()
# # Plots of changes of concentration with time
# In[13]:
fig = px.line(data_frame=bio.get_history(), x="SYSTEM TIME", y=["A", "B"],
title="Changes in concentrations",
color_discrete_sequence = ['navy', 'darkorange'],
labels={"value":"concentration", "variable":"Chemical"})
fig.show()
# ### Notice the *early overshoots* (the time step is too large early in the simulation!)
# Variable, adaptive time steps are explored at length in the _"reactions_single_compartment"_ experiments
# In[ ]: