MATE 6700 Projects in Applied Mathematics

Course syllabus

Course topics

  • Introduction to mathematical modeling
  • Michaelis-Menten kinetics and singular perturbation analysis
  • Review of ordinary differential equations
  • Respiration in a bacterial culture
  • Voltage gated ionic currents
  • Water and ion transport across a cell membrane
  • Cell model: water and ion regulation in a cell
  • Organ model: water and solute regulation in the kidney
  • Parameter estimation by means of nonlinear optimization