James C. Clements: Week 5: Difference between revisions
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=== Malthus Model === | === Malthus Model === | ||
[[Image:Clements H5P1varD.jpg]] | [[Image:Clements H5P1varD.jpg|thumb|left|Varying dilution rate]] | ||
[[Image:Clements H5P1varK.jpg]] | [[Image:Clements H5P1varK.jpg|thumb|left|Varying MM reaction constant]] | ||
[[Image:Clements H5P1varR.jpg]] | [[Image:Clements H5P1varR.jpg|thumb|left|Varying population growth rate]] | ||
[[Image:Clements H5P1varU.jpg]] | [[Image:Clements H5P1varU.jpg|thumb|left|Varying feed concentration]] | ||
[[Image:Clements H5P1varVmax.jpg]] | [[Image:Clements H5P1varVmax.jpg|thumb|left|Varying maximum reaction velocity]] | ||
[[Image:Clements H5P1varZ1.jpg]] | [[Image:Clements H5P1varZ1.jpg|thumb|left|Varying initial nutrient concentration]] | ||
[[Image:Clements H5P1varZ2.jpg]] | [[Image:Clements H5P1varZ2.jpg|thumb|left|Varying initial yeast concentration]] | ||
=== Logistic Model === | === Logistic Model === | ||
[[Image:Clements H5P2varD.jpg]] | [[Image:Clements H5P2varD.jpg|thumb|left|Varying dilution rate]] | ||
[[Image:Clements H5P2varK.jpg]] | [[Image:Clements H5P2varK.jpg|thumb|left|Varying MM reaction constant]] | ||
[[Image:Clements H5P2varR.jpg]] | [[Image:Clements H5P2varR.jpg|thumb|left|Varying population growth rate]] | ||
[[Image:Clements H5P2varU.jpg]] | [[Image:Clements H5P2varU.jpg|thumb|left|Varying feed concentration]] | ||
[[Image:Clements H5P2varVmax.jpg]] | [[Image:Clements H5P2varVmax.jpg|thumb|left|Varying maximum reaction velocity]] | ||
[[Image:Clements H5P2varZ1.jpg]] | [[Image:Clements H5P2varZ1.jpg|left|Varying initial nutrient concentration]] | ||
[[Image:Clements H5P2varZ2.jpg]] | [[Image:Clements H5P2varZ2.jpg|thumb|left|Varying initial yeast concentration]] | ||
[[Image:Clements H5P2varA.jpg]] | [[Image:Clements H5P2varA.jpg|thumb|left|Varying maximum population parameter]] | ||
Revision as of 22:16, 13 February 2011
Lab Journal Navigator
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
Logistic Model
