#!/usr/bin/env python # coding: utf-8 # ## One-bin Association/Dissociation reaction `A + B <-> C` # ### with 1st-order kinetics for each species, taken to equilibrium # # Diffusion not applicable (just 1 bin) # # See also the experiment _"reactions_single_compartment/react_3"_ # ### TAGS : "reactions 1D", "basic" # 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, os #os.getcwd() #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 ChemData, BioSim1D, check_version 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 (using just 1 bin) chem_data = ChemData(names=["A", "B", "C"], plot_colors=['red', 'darkorange', 'green']) bio = BioSim1D(n_bins=1, chem_data=chem_data) bio.set_uniform_concentration(chem_index=0, conc=10.) bio.set_uniform_concentration(chem_index=1, conc=50.) bio.set_uniform_concentration(chem_index=2, conc=20.) bio.describe_state() # In[7]: # Specify the reaction reactions = bio.get_reactions() # Reaction A + B <-> C , with 1st-order kinetics for each species reactions.add_reaction(reactants=["A" , "B"], products="C", forward_rate=5., reverse_rate=2.) reactions.describe_reactions() # In[8]: # Send the plot of the reaction network to the HTML log file 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[ ]: # In[ ]: # ### First step # In[11]: # First step bio.react(time_step=0.002, n_steps=1) bio.describe_state() # In[12]: bio.get_bin_history(bin_address=0) # In[ ]: # ### Numerous more steps # In[13]: # Numerous more steps bio.react(time_step=0.002, n_steps=29) 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] = 0.29487831 , [B] = 40.29487831 , [C] = 29.70512169 # In[14]: # 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[15]: bio.get_bin_history(bin_address=0) # ## Note: `A` (now largely depleted) is largely the limiting reagent # ## Plots of changes of concentration with time # In[17]: bio.plot_history_single_bin(bin_address=0, title_prefix="Reaction `A + B <-> C`") # ## For more in-depth analysis of this reaction, including variable time steps, see the experiment _"reactions_single_compartment/react_3"_ # In[ ]: