Teaching MATH 456 and MATH 690M in Fall 2026

I’m teaching two courses in Fall 2026:

MATH 456: Math-Bio — an upper-division course focusing on mathematical approaches to modeling cellular and biological phenomena, bridging mathematics, computation, and biology.

MATH 690M: Introduction to Mathematical Biology — a graduate-level introduction to mathematical biology. Topics include:

• Subcellular Dynamics: nonlinear ODEs and transport equations.
  • Motion in cellular world.
  • Cell structure.
  • Models for biopolymers e.g. actin and microtubules.
• Cell polarity and directed motion: traveling waves, Turing instabilities, and pinned waves.
  • Chemotaxis.
  • Cell polarity and wave-pinning.
  • Chemotaxis and cell migration.
  • Multi-scale model introduction.
• Patterns and waves in and between cells: reaction-diffusion equations and bifurcation theory.
  • Reaction-diffusion equations and Turing.
  • Traveling waves and spiral waves.
  • Morphogens, chemical signaling, and intracellular gradients.
• Cell-cell interactions and collective behaviour: agent-based models and continuum limits.
  • Agent-based models for groups of cells.
  • Continuum models and nonlocal interactions.
• Multi-scale models for cells and tissues: bridging scales from molecules to tissues.
  • Computable platform for tissues.
  • Computing a tissue.