Numerical methods in biology

Script epub

Outline

Lecture 1: Introduction

Introduction: Why do we need numerical methods

What are the limits of analytical computations?

  1. Nonlinearities pose problems
  2. High-dimensional state spaces
  3. Ill equipt analytic tool-kit

Examples

Population dynamics

Membrane physiology

Root finding

Ex: Resting potential of a nonlinear membrane

Lecture 2: Linear systems

Lecture 3: Differential equations

Lecture 4: Partial differential equations

Lecture 5: Continuation

Lecture 6: Boundary value problems

Lecture 7: