Previous projects

Priority Program (SPP 1590)

Probabilistic Structures in Evolution

Project: Evolving pathogen phylogenies: a two-level branching approach - Anita Winter

For many RNA viruses the lack of a proofreading mechanism in the virus' RNA polymerase results in frequent mutation. The high viral mutation rates, the large virus population size, and the short replication periods produce abundance of viral variability which is responsible for immune escape or drug resistance. Understanding in detail the forces which maintain this diversity can assist in the struggle against viral infections.
Pathogen patterns - and in particular the shapes of the phylogenies - are affected by the strength of selective pressure due to various levels of cross-immunity. We focus on the temporal structure of phylogenies associated with a persistent virus. We propose a two-level (host-pathogen) branching model with mutation and competition on both levels in dierent scaling regimes, where hosts can be either the infected patients or the infected cells within a single patient. We thereby extend our recent work on a panmitic virus population.
We will further rely on techniques developed for measure-valued (neutral) multilevel branching dynamics and two-level multi-type branching dynamics with mutation and competition.

 

Further information

 

SFB/ Transregio (TRR 12 - A 7)

Symmetries and Universality in Mesoscopic Systems

 

A7

Fluctuations and large deviations in nonequilibrium stochastic dynamics
A. Altland, TP Köln, E. Frey, ASC München, J. Krug, TP Köln, C. Külske, M Bochum, A. Winter, M Duisburg-Essen
 
The project explores fluctuation-dominated behavior in interacting many-body systems originating from a variety of physical and biological contexts. A common methodological basis is provided by the use of large deviations principles in path space, which links the project to dynamical systems theory and semi-classical quantum mechanics. Specific problems to be addressed concern the structure of none-equilibrium measures in spin systems, fluctuation theorems for mesoscopic quantum systems, and effects of demographic and spatial fluctuations in models of biological population dynamics.