# Difference between revisions of "BIOL398-01/S11:Week 3"

BIOL398-01: Biomathematical Modeling

MATH 388-01: Survey of Biomathematics

Loyola Marymount University

This journal entry is due on Monday, January 31 at midnight PST (Sunday night/Monday morning). NOTE that the server records the time as Eastern Standard Time (EST). Therefore, midnight will register as 03:00.

## Individual Journal Assignment

• Store this journal entry as "username Week 3" (i.e., this is the text to place between the square brackets when you link to this page).
• Create the following set of links. (HINT: you can do all of this easily by adding them to your template and then using the template on your pages.)
• Don't forget to add the "BIOL398-01/S11" category to the end of your wiki page.

### Terminology

• Look up the following terms and provide definitions. For each definition, three elements are required: you must quote a source, reference the source, and interpret the definition in your own words.
1. dynamical system
2. law of mass action
3. homeostasis
4. equilibrium
5. oscillation
6. autocatalysis

### Applying the Law of Mass Action

• Construct differential equations that model the following reactions. Be sure to define your state variables and rate constants.
1. A + BC
2. A + BC
3. A + B ↔ 2C
4. 2A + 3BC+D

Please note that the symbolis used to denote arrows (reactions) in both directions.

### Simulating Reaction Kinetics

1. E + SESE + P

that we have studied in class. Set the parameters as follows:

• [S0] = 1.0
• [E0] = 0.2
• [ES0] = 0.0
• [P0] = 0.0
• k1 = 2.0
• k-1 = 0.0
• k2 = 10

Plot the output, and save the plot as an image. Post the image on the wiki as the answer to the question.

## Shared Journal Assignment

• Store your journal entry in the shared Class Journal Week 3 page. If this page does not exist yet, go ahead and create it (congratulations on getting in first :) )
• Sign your portion of the journal with the standard wiki signature shortcut (`~~~~`).