# Sahil Patel Week 12

## Purpose

The purpose of this assignment is to interpret the figures and data tables in the Tai et al. paper as well as creating simulations in MATLAB.

## Methods

Developing a Yeast-in-the-Chemostat Model

• Convert residual glucose and residual ammonia from mM to grams.

Develop a simulation model for a 2-nutrient chemostat.

• Modify the MATLAB files chemostat_script.m and chemostat_dynamics.m to simulate a 2-nutrient chemostat
• Use what parameters you have determined from the data to simulate the system.

## Results

### Protocol Questions

• The yield quantity Y Glu/X: this is a ratio of what quantities? Be specific and relate to the 2-nutrient chemostat model from class.
• Y(Glu/X) = ratio of Biomass produced/ Glucose consumed
• The flux qGlu is a ratio of what quantities? Be specific and relate to the 2-nutrient chemostat model from class.
• flux qGlu = ratio of specific growth rate/ yield quantity
• Convert residual glucose and residual ammonia from mM to grams.
• residual glucose = 0.180156 g of glucose
• residual ammonia = 0.017031 g of ammonia
• Determine the length of time the chemostat is operated before data is collected.
• 1/0.03 = 33.3333 * 3 = 100 ---> around 100 hours to reach steady state.
• Determine as many model parameters as you can from these data: use the "warm" data and both glucose- and ammonium-limited data.
• r = maximum rate of growth
• q = dilution rate
• K = substrate concentration (glucose) at r/2
• L = substrate concentration (ammonium) at r/2
• E = Efficiency (glucose)
• F = Efficiency (ammonium)
• u = feed concentration (glucose)
• v = feed concentration (ammonium)