#!/usr/bin/env python # coding: utf-8 # ## One-bin reaction `2A + 5B <-> 4C + 3D`, with 1st-order kinetics for each species, taken to equilibrium # # Diffusion not applicable (just 1 bin) # ### TAGS : "reactions 1D", "under-the-hood" # In[1]: LAST_REVISED = "June 6, 2025" LIFE123_VERSION = "1.0.0rc6" # Library version this experiment is based on # In[2]: #import set_path # Using MyBinder? Uncomment this before running the next cell! # In[3]: #import sys #sys.path.append("C:/some_path/my_env_or_install") # CHANGE to the folder containing your venv or libraries installation! # NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path from experiments.get_notebook_info import get_notebook_basename from life123 import BioSim1D, ChemData, check_version from life123 import HtmlLog as log from life123 import GraphicLog # In[4]: check_version(LIFE123_VERSION) # In[ ]: # In[5]: # 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_2"], extra_js="https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js") # In[6]: # Initialize the system; NOTE: Diffusion not applicable (just 1 bin) chem_data = ChemData(names=["A", "B", "C", "D"], plot_colors=['navy', 'cyan', 'red', 'orange']) bio = BioSim1D(n_bins=1, chem_data=chem_data) bio.set_all_uniform_concentrations( [4., 7., 5., 2.] ) bio.describe_state() # In[7]: # Specify the reaction reactions = bio.get_reactions() # Reaction 2A + 5B <-> 4C + 3D , with 1st-order kinetics for each species reactions.add_reaction(reactants=[(2,"A",1) , (5,"B",1)], products=[(4,"C",1) , (3,"D",1)], forward_rate=5., reverse_rate=2.) reactions.describe_reactions() # In[8]: # 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) reactions.plot_reaction_network("vue_cytoscape_2") # In[ ]: # In[9]: # Let's enable history - by default for all chemicals and all bins bio.enable_history(take_snapshot=True, caption="Initial state") # In[10]: bio.get_bin_history(bin_address=0) # In[ ]: # ### First step # In[11]: bio.get_reaction_handler().enable_diagnostics() # To save diagnostic information for the simulation run, below # In[12]: # 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[13]: bio.get_bin_history(bin_address=0) # In[ ]: # ### Numerous more steps # In[14]: # Numerous more steps bio.react(time_step=0.001, n_steps=40) 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[15]: # Verify that the reaction has reached equilibrium bio.get_reaction_handler().is_in_equilibrium(rxn_index=0, conc=bio.bin_snapshot(bin_address = 0)) # In[16]: df = bio.get_bin_history(bin_address=0) 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[17]: # We'll check the first two arrays of concentrations, from the run's history arr0 = bio.get_reaction_handler().get_historical_concentrations(row=0, df=df) arr1 = bio.get_reaction_handler().get_historical_concentrations(row=1, df=df) arr0, arr1 # In[18]: # Check that the changes in the first reaction step conform to the stoichiometry bio.get_reaction_handler().get_diagnostics().stoichiometry_checker(rxn_index=0, conc_arr_before = arr0, conc_arr_after = arr1) # In[19]: arr1 - arr0 # 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[20]: (arr1 - arr0) / 0.12 # 0.12 is the "moles of reactions" change # In[ ]: # # Plots of changes of concentration with time # In[21]: bio.plot_history_single_bin(bin_address=0, title_prefix="Reaction `2A + 5B <-> 4C + 3D`") # In[ ]: