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Project C1: Ancestral lines in population models with interaction


Principal Investigator(s)
Ellen Baake
Visitor(s)
Currently no visitors.

Summary:

This project is devoted to interacting particle systems that describe the joint action of mutation and selection in populations with pairwise interaction between individuals, such as the diploid Moran model. The aim is to understand the lines of descent of such populations in the distant past. To this end, we will develop ancestral graphs that generalize the pruned look-down ancestral selection graph, and use them to investigate the ancestral lines and their type distribution, with the help of methods from duality and diffusion theory.


Recent Preprints:

19007 Fernando Cordero, Sebastian Hummel, Emmanuel Schertzer PDF

General selection models: Bernstein duality and minimal ancestral structures

Project: C1

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General selection models: Bernstein duality and minimal ancestral structures


Authors: Fernando Cordero, Sebastian Hummel, Emmanuel Schertzer Projects: C1
Submission Date: 27.03.2019 Submitter: Barbara Gentz
Download: PDF Link: 19007

18062 Ellen Baake, Fernando Cordero, Sebastian Hummel PDF

Lines of descent in the deterministic mutation-selection model with pairwise interaction

Project: C1

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Lines of descent in the deterministic mutation-selection model with pairwise interaction


Authors: Ellen Baake, Fernando Cordero, Sebastian Hummel Projects: C1
Submission Date: 12.12.2018 Submitter: Barbara Gentz
Download: PDF Link: 18062

18020 Fernando Cordero, Martin Möhle PDF

On the stationary distribution of the block counting process for population models with mutation and selection

Project: C1

Published: Journal of Mathematical Analysis and Applications 474, no. 2 (2019), 1049–1081

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On the stationary distribution of the block counting process for population models with mutation and selection


Authors: Fernando Cordero, Martin Möhle Projects: C1
Submission Date: 16.05.2018 Submitter: Barbara Gentz
Download: PDF Link: 18020
Published: Journal of Mathematical Analysis and Applications 474, no. 2 (2019), 1049–1081

18009 Ellen Baake, Fernando Cordero, Sebastian Hummel PDF

A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent

Project: C1

Published: J. Math. Biol. 77 (2018), 795-820

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A probabilistic view on the deterministic mutation-selection equation: dynamics, equilibria, and ancestry via individual lines of descent


Authors: Ellen Baake, Fernando Cordero, Sebastian Hummel Projects: C1
Submission Date: 29.03.2018 Submitter: Michael Röckner
Download: PDF Link: 18009
Published: J. Math. Biol. 77 (2018), 795-820



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