MATH x90CB Mathematical Cell Biology
Undergraduate / Graduate course, University of Massachusetts Amherst, Department of Mathematics and Statistics, 2023
- Course time: TBA
- Course text: Lecture notes will be provided.
Topics
This is a one-semester introduction into Mathematical Cell Biology.
- Subcellular Dynamics.
- Motion in cellular world.
- Cell structure
- Models for biopolymers e.g. actin and microtubules.
- Cell polarity and directed motion.
- Chemotaxis.
- Cell polarity and wave-pinning.
- Chemotaxis and cell migration.
- Muti-scale model introduction.
- Patterns and waves in and between cells.
- 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 for groups of cells.
- Continuum models and nonlocal interactions.
- Multi-scale models for cells and tissues.
- Computable platform for tissues.
- Computing a tissue.