Chapter 13: Spatial evolutionary dynamics of tumor initiation

The following sections are included:

• Introduction

• 1D spatial Moran process

• Two-species dynamics

  • Preliminaries

  • Probability of mutant fixation

• Three-species dynamics

  • Calculating the tunneling rate by the doubly-stochastic approximation

  • Limiting cases and the tunneling rate approximations

  • When is tunneling important?

• Dynamics of mutant generation

  • Gain-of-function mutations: a two-species problem

  • Loss-of-function mutations: a three-species problem

  • Definition of neutrality

  • Three-species dynamic: a comparison with the space-free model

• Outlook

• Problems