Math 336 - Mathematical Modeling
Spring Semester, 2004
Lecture Notes

 © 2004, All Rights Reserved, SDSU & Joseph M. Mahaffy
San Diego State University -- This page last updated 02-Mar-04


So what is a mathematical model?

<img src="images/Intro1.gif" width="400" height="300">

 

 

 

 

 

Growth of a Culture of Yeast

Time
Population
Time
Population
Time
Population
1
9.6
7
174.6
13
594.8
2
18.3
8
257.3
14
629.4
3
29.0
9
350.7
15
640.8
4
47.2
10
441.0
16
651.1
5
71.1
11
513.3
17
655.9
6
119.1
12
559.7
18
659.6

 

Link to Excel sheet of yeast culture.

 

References

[1] T. Carlson Über Geschwindigkeit und Grösse der Hefevermehrung in Würze. Biochem. Z. 57: 313-334, 1913.

 

Link to Lynx and Hare data.

 

Modeling with Differential Equations

Link to data for S. cerevisiae and S. Kephir growing in culture - Basic Malthusian and Logistic growth models.

Lecture for the mixed culture.