#!/usr/bin/env python
# coding: utf-8
# ## One-bin `2A + 5B <-> 4C + 3D`, with 1st-order kinetics for each species, taken to equilibrium
#
# Diffusion not applicable (just 1 bin)
#
# LAST REVISED: May 28, 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 ReactionData 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", "C", "D"]) # NOTE: Diffusion not applicable (just 1 bin)
# Specify the reaction
# Reaction 2A + 5B <-> 4C + 3D , with 1st-order kinetics for each species
chem_data.add_reaction(reactants=[(2,"A") , (5,"B")], products=[(4,"C") , (3,"D")],
forward_rate=5., reverse_rate=2.)
bio = BioSim1D(n_bins=1, chem_data=chem_data)
bio.set_all_uniform_concentrations( [4., 7., 5., 2.] )
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 a header and a plot to the HTML log file
log.write("Reaction 2 A + 5 B <-> 4 C + 3 D",
style=log.h2)
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=0.001, n_steps=1)
bio.describe_state()
# _Early in the reaction :_
# [A] = 3.76 , [B] = 6.4 , [C] = 5.48 , [D] = 2.36
# 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=0.001, n_steps=40, 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] = 2.80284552 , [B] = 4.00711381 , [C] = 7.39430896 , [D] = 3.79573172
# 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]:
df = bio.get_history()
df
# A and B get depleted, while C and D get produced.
#
# **2A + 5B <-> 4C + 3D**
# #### Let's verify that the stoichiometry is being respected
# In[13]:
# We'll check the first two arrays of concentrations, from the run's history
arr0 = bio.reaction_dynamics.get_historical_concentrations(row=0, df=df)
arr1 = bio.reaction_dynamics.get_historical_concentrations(row=1, df=df)
arr0, arr1
# In[14]:
bio.reaction_dynamics.stoichiometry_checker(rxn_index=0,
conc_arr_before = arr0,
conc_arr_after = arr1)
# Indeed, the change in [A] is -2 x 0.12, and the change in [B] is -5 X 0.12,
# while the change in [C] is 4 x 0.12, and the change in [D] is 3 X 0.12
# In[15]:
(arr1 - arr0) / 0.12
# # Plots of changes of concentration with time
# In[16]:
fig = px.line(data_frame=bio.get_history(), x="SYSTEM TIME", y=["A", "B", "C", "D"],
title="Changes in concentrations with time",
color_discrete_sequence = ['navy', 'cyan', 'red', 'orange'],
labels={"value":"concentration", "variable":"Chemical"})
fig.show()
# In[ ]: