Math 4335: Mathematical Biology

Computational tools

• Graphing calculators:
  Calculator 1,
  Calculator 2,
  Calculator 3.
• Matlab help for SMU
• Simple phase-plane analysis: PPlane by J. Polking at Rice University.
• Matlab programs:
  • phaseline.m
  • predprey.m
  • competing.m
  • phaseplane.m
  • fitzhugh.m
  • repressilator.m
  • vanderpolhmwk.m
  • hindmarshrose.m

Lecture notes

Miscellaneous documents:

• Population-growth functions
• SIS to Logistic
• SIR (no demographics)
• Hopf bifurcation
• Action potential
• Bifurcation diagrams: page 1 page 2
• Bursting summary.
• Simple delay equation
• Muscle crossbridge model

Homework assignments

Homework Problems
These problems may be editted as the semester progresses. Thus, print assignments only as they are assigned.

• Homework 1: Due Fri, 8/26. Review of ODEs.
    Solutions: page1,, page 2.
• Homework 2: Due Fri, 9/2. Graphical Analysis.
    Solutions. Comments
• Homework 3: Due Wed, 9/14. Single Species Populations.
    Solutions
• Homework 4: Due Wed, 9/14. Linear Stability.
    Solutions: page 1, page 2,
• Exam 1: Mon, 9/19.
    Solutions
• Homework 5: Due Mon, 9/26. Competing Species.
    Solutions: page 1, page 1
• Homework 6: Due Mon, 10/3. RESEARCH PAPER 1
• Homework 7: Due Wed, 10/12. Phase Plane.
    Solutions
• Exam 2: Fri, 10/21.
    Solutions
• Homework 8: Due Fri, 10/28. Epidemiology.
    Solutions
• Homework 9: Due Wed, 11/2. RESEARCH PAPER 2
• Homework 10: Due Fri, 11/11. Cubic nullclines.
     Solutions    Solutions
• Homework 10: Due Fri, 11/18. Biochemical oscillators
     Solutions
• Homework 56: Due Fri, 12/2. RESEARCH PAPER 3
• Exam final: Thursday, Dec. 8, 11:30-2:30

Research Paper Reviews

• Research Paper Review 1 & 2: Instructions are in the Homework Problem document above. Below are a couple of works of high quality done by students.
  • Example 1
  • Example 2
  • Example 3
• Instructions for Research Paper Review - 3