James C. Clements: Week 5: Difference between revisions
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=== Malthus Model === | === Malthus Model === | ||
It was observed in each of the Malthus plots that the | |||
====Malthus Images ==== | |||
[[Image:Clements H5P1varD.jpg]] | [[Image:Clements H5P1varD.jpg]] | ||
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=== Logistic Model === | === Logistic Model === | ||
==== Logistic Images === | |||
[[Image:Clements H5P2varD.jpg]] | [[Image:Clements H5P2varD.jpg]] | ||
Revision as of 22:38, 13 February 2011
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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
It was observed in each of the Malthus plots that the
Malthus Images
Logistic Model
= Logistic Images
