James C. Clements: Week 3

Terminology

 * Dynamical System: "A system that changes over time according to a set of fixed rules that determine how one state of the system moves to another state."


 * Law of Mass Action: "The law that states the following principle: the rate of a chemical reaction is directly proportional to the molecular concentrations of the reacting substances"


 * Homeostasis: "The ability of a system or living organism to adjust its internal environment to maintain a stable equilibrium; such as the ability of warm-blooded animals to maintain a constant temperature."


 * Equilibrium: "The condition of a system in which competing influences are balanced, resulting in no net change."


 * Oscillation: "A regular periodic variation in value about a mean"


 * Autocatalysis: "Catalysis in which the catalyst is one of the products of the reaction"

Applying the Law of Mass Action
Please note that the symbol &harr; is used to denote arrows (reactions) in both directions.
 * Construct differential equations that model the following reactions. Be sure to define your state variables and rate constants.
 * 1) A + B &rarr; C
 * 2) A + B &harr; C
 * 3) A + B &harr; 2C
 * 4) 2A + 3B &harr; C+D

[[Media:Clements_-Assn3.pdf|See solutions here]]

Simulating Reaction Kinetics
that we have studied in class. Set the parameters as follows: Plot the output, and save the plot as an image. Post the image on the wiki as the answer to the question.
 * Use the matlab code provided at my lionshare folder to study the simple reaction
 * 1) E + S &harr; ES &rarr; E + P
 * [ S0 ] = 1.0
 * [ E0 ] = 0.2
 * [ ES0 ] = 0.0
 * [ P0 ] = 0.0
 * k1 = 2.0
 * k-1 = 0.0
 * k2 = 10