Population Biology
BIOL 763/599 / SCCC 411B / MATH 599
Spring 1999
University of South Carolina

Professor Matt Miller
miller@math.sc.edu
Department of Mathematics
 Professor Dave Wethey
wethey@biol.sc.edu
Department of Biological Sciences

Jan 26-28: The chemostat and compartment models; dimensional analysis

  • Finish up reading Cohen 1995 Science 269:341-346.
  • Finish up stepping through the Maple worksheets intro.mws , growth.mws , and cohen.mws ; try to answer the questions that you find within in them.
  • Read Edelstein-Keshet sections 4.2-4.6, pp 121-129, on the chemostat model and dimensional analysis. Hastings has only a snipet on this: the box on page 95. Do E-K page 153 problems 6-9, 13, 14abd (feel free to raise questions in class!)
  • Read E-K section 4.7, the box on pages 131-132, and section 4.11 (especially pages 149-151); work on problems 25 and 29 on pages 15-160 (we will distribute the lead article in class). Compartment or box models are not really discussed in Hastings, but there is some material on this idea in chapter 10 where he develops an S-I-R model. You'll find this also in the various calculus and DE texts.
  • Advertisement: What is Mathematical Biology anyhow? a talk for the undergraduate mathematics society, open to all. Wednesday at 6 pm, Feb. 3, in LC 401