# Brianna N. Samuels-Week 14

## Purpose

• to find r using Arrhenius' equation for 12, 15, 20, 25, and 30 degrees
• investigate whether E should be a function of y

## Methods

1. Use the Arrhenius equation (rate = A*exp(-B/(R*T)) to model the temperature dependence of the chemostat reaction.
• Figure out the constants A and B from the rate data in the TaiParamsRevised.m file.
• Simulate the chemostat for T = 15,20, 25 degrees C conditions and graph the time courses of the biomass and nutrients.
2. Investigate the glucose efficiency/waste constant (that is not really a constant?) for the glucose-limited and ammonium-limited conditions.
• Note the values of E for glucose-limited and ammonium-limited conditions.
• For each temperature (12, 30), find a function E(y) that matches the two points of (y,E) data.
• Modify the chemostat_2nutrient_dynamics.m file to use the functions you've created.
• Compare the resulting simulation to the previous one.

1. A brief intro to the chemostat problem of Tai et al (2007).
2. The data we've extracted from the paper and other sources.
5. Discussion and reflection on your findings.

## Results

### Solving for r

• r=Ae^(-B/RT)
• A = 4.9 * 10^11
• B = 68258.79
• T = 12,15, 20, 25, 30 (convert to Kelvin)
• R = 8.134
• will be using Glucose limited data
• other parameters came from Tai et al. 2007

### Investigating E

• determine E is a function of y
• should be modeled as a straight line on MATLAB
• replace in MATLAB wherever we see E with E(y) equation

## Acknowledgments

• Homework Partner: Ali texted consistently, met face to face a couple times to work on presentation, as well as attended office hours together
• Attended office hours for Dr. Fitzpatrick
• Except for what is noted above, this individual journal entry was completed by me and not copied from another source.