Hummel, Sebastian: Ancestral Lines in Deterministic and Stochastic Mutation-Selection Models. 2019
Inhalt
- Abstract
- Acknowledgement
- Contents
- List of Figures
- Abbreviations
- Introduction
- Moran model – forward and backward in time
- Moran model with mutation, selection, and pairwise interaction
- ASG in the Moran model with mutation, selection, and pairwise interaction
- Type distribution in the Moran model via the killed ASG
- Ancestral type distribution
- A probabilistic view on the deterministic mutation-selection equation
- Deterministic limit of the Moran model with mutation and selection
- ASG in the smss-limit
- Killed ASG in the smss-limit
- pLD-ASG in the smss-limit
- Ancestral type distribution in the smss-limit
- Ancestral lines in the mutation-selection equation with pairwise interaction
- Mutation-selection equation with pairwise interaction
- Mutation-selection equation as a limit of the Moran model: with pairwise interaction
- Stratified ASG
- Type distribution via stratified ASG
- Ancestral type distribution via stratified ASG
- Remaining proofs
- Summary and discussion
- Bibliography