James C. Clements: Week 5: Difference between revisions

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[[Image:Clements H5P2varVmax.jpg|thumb|left|Varying maximum reaction velocity]]
[[Image:Clements H5P2varVmax.jpg|thumb|left|Varying maximum reaction velocity]]


[[Image:Clements H5P2varZ1.jpg|left|Varying initial nutrient concentration]]
[[Image:Clements H5P2varZ1.jpg|thumb|left|Varying initial nutrient concentration]]


[[Image:Clements H5P2varZ2.jpg|thumb|left|Varying initial yeast concentration]]
[[Image:Clements H5P2varZ2.jpg|thumb|left|Varying initial yeast concentration]]


[[Image:Clements H5P2varA.jpg|thumb|left|Varying maximum population parameter]]
[[Image:Clements H5P2varA.jpg|thumb|left|Varying maximum population parameter]]

Revision as of 22:17, 13 February 2011

James C. Clements

BIOL398-01/S11:Assignments

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Week 5 Assignment

Simple Chemostat Model of Nutrients and Population Growth Analysis

Scripts were created in MatLab for the Chemostat Malthus and Logistic models of Nutrients and Population growth and the parameters and initial conditions were varied.

For each model, the standard values for parameters and initial conditions were as follows:

time, t: ranged from 0 to 10 Michaelis Menton reaction constant, K: 1 Reaction maximum velocity, Vmax: 5 Population growth rate, r: 1 Dilution rate, D: 1 Feed concentration, u: 1 Max population parameter, A : 10 (only used in logistic model) Initial nutrient concentration, n: 1 Initial yeast concentration, y: 1

Parameters and initial conditions were varied one by one from 1 to 10 and the results were plotted below.

Malthus Model

Varying dilution rate
Varying MM reaction constant
Varying population growth rate
Varying feed concentration
Varying maximum reaction velocity
Varying initial nutrient concentration
Varying initial yeast concentration

Logistic Model

Varying dilution rate
Varying MM reaction constant
Varying population growth rate
Varying feed concentration
Varying maximum reaction velocity
Varying initial nutrient concentration
Varying initial yeast concentration
Varying maximum population parameter