# BIOL398-01/S11:Week 4

BIOL398-01: Biomathematical Modeling

MATH 388-01: Survey of Biomathematics

Loyola Marymount University

This journal entry is due on Monday, February 07 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 4" (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

• Explain the following terms in your own words.
1. The Michaelis-Menten model of enzyme kinetics.
2. The experiment required for the Lineweaver-Burk approach to estimating parameters for Michaelis-Menten.
3. Chemostat reactor.
4. Exponential growth.

### Applying Michealis-Menten Models

• Consider a single substrate being converted to product.

E + SESE + P with an initial substrate concentration of 1.0 and an initial enzyme concentration of 0.05. Use the Michaelis-Menten matlab model to explore the following.

1. Set k1 = 2.0, k-1 = 0.0. Plot the substrate dynamics for k2 = 1.0, k2 = 2.0, k2 = 5.0, k2 = 10.0 all on the same graph to see the effect of this parameter.
2. Set k1 = 2.0, k-1 = 1.0. Plot the substrate dynamics for k2 = 1.0, k2 = 2.0, k2 = 5.0, k2 = 10.0 all on the same graph to see the effect of this parameter.
3. Set k1 = 2.0, k-1 = 5.0. Plot the substrate dynamics for k2 = 1.0, k2 = 2.0, k2 = 5.0, k2 = 10.0 all on the same graph to see the effect of this parameter.

You may use the matlab code provided at my lionshare folder.

### Estimating Michaelis-Menten Parameters

• Consider the following data:

[S] = 11.0, 16.7, 20.0, 25.0, 33.3, 50.0

V = 0.00952, 0.01111, 0.01282, 0.01515, 0.01852, 0.02128

Apply the Lineweaver-Burk technique to determine Vmax and K.

## Shared Journal Assignment

• Store your journal entry in the shared Class Journal Week 4 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 (`~~~~`).