Sarah Carratt: Week 6
From OpenWetWare
Instructions
- List the state variables needed to model the process of interest.
- Propose at least one system of differential equations you think will model the dynamics.
- Discuss the terms in your equation(s) in order to justify your choices.
- List all parameters your model requires for numerical simulation.
- Discuss the relationship between the data in the papers by ter Schure et al and the state variables (and parameters).
Online Sources
Student Response
Variables Needed for a Model
- ammonia --> nitrogen
- α-ketogluterate
- glutamate
- glutamine
These four variables are the things that we will need to watch/model as they change over time. In the image, these variables can be seen in context of nitrogen metabolism.
Differential Equations and Discussion of Terms
D = dilution rate u = feed concentration L1, L2, L3, L4 = loss of state variable to outside factors/processes in cell
- d[glutamine]/dt = Du - Vmax([glutamate]/k1+[glutamate])+ Vmax([glutamate]/k2+[glutamate])- C
- d[glutamate]/dt = Du -Vmax([α-ketogluterate]/k3+[α-ketogluterate]) + Vmax([α-ketogluterate]/k4+[α-ketogluterate])- Vmax([glutamine]/k2+[glutamine])+ Vmax([glutamine]/k1+[glutamine])- C2
- d[α-ketogluterate]/dt = Du-Vmax([gluterate]/k4+[gluterate]) + Vmax([gluterate]/k3+[gluterate]) - C3.
- d[nitrogen]/dt = Du + [ammonia]
- d[carbon]/dt = Du + [glucose]???
Discussion of Terms
Parameters for Model
Relationship between ter Schure et al and Parameters
Individual Assignments
Class Assignments
Class Notes
Internal Links
BIOL398-01/S11:Assignments | BIOL398-01/S11:People | BIOL398-01/S11:Sarah Carratt |