# Final Powerpoint for 3.217 Presentation

Assignment Pages:

Personal Journal Entries:

Shared Journal Entries:

# Purpose

The purpose of this week's assignment is to investigate our models further and produce a presentation showcasing our findings from this week. The goal is to model elements of the ter Schure(1995) paper, for me specifically looking at how the conversion of glucose into biomass is manipulated by respiration and fermentation.

# Methods/Workflow

• Most workflow this week was done on paper, images of main notes in how to come up with equations here:
• After solving final equations, realized that instead of what I had for dm/dt, it should really be called m because I have been using it as a placeholder for a different set of state variables instead of as a state variable itself.
• Based on all of the above, solved for equilibrium values for all equations used. Work can be seen here and nicely compiled here
• Next, again based on all of the above and the Week 5 Assignment, I decided to try and solve for the equilibrium values for the equations to the best of my ability.
• Then it came time to solve for y*, which hinges on parameters and the conditional u1. For this week's assignment, I am going to look into modeling only 4 u1 values from the Week 5 Assignment and ter Schure (1995) paper.
• u1=29
• u1=44
• u1=61
• u1=96
These u1 values were selected because when u1=29; ammonia is limiting, when u1=44; there seems to be a shift in fermentation to aerobic respiration; when u1=61, ammonia is no longer limiting; u1=96 was arbitrarily chosen to get a broader spectrum of values
• Following notes pages were for solving for y* and all subsequent state variables using the parameter values stated in the Week 5 Assignment (b decided to equal max O2 consumed in ter Schure (1995), ~4mmolg-1h-1:

# Results

• My system of equations is solidified as the following, where m is a metabolism term that is standing in for the conversion rate of glucose to make things less messy when doing calculations.