Jochen Blath (Goethe University)
Title: Probabilistic structures emerging from dormancy.
Abstract: Throughout the tree of life, populations have evolved the capacity to contend with sub-optimal conditions by engaging in dormancy, whereby individuals enter a reversible state of vanishing metabolic activity. The resulting "seed banks" serve as long-lived reservoirs of genetic and phenotypic diversity. Of particular relevance is the case of microbial dormancy, which has a fundamental impact on the evolutionary, ecological and also pathogenic character of microbial communities.
However, despite its ubiquity in nature, dormancy is a rather new subject for stochastic individual based modeling and interacting particle systems. Here, it can introduce memory, resilience and diversity into the underlying systems. The resulting probabilistic structures are surprisingly rich, already when considering simple `toy models', and lead to new universal scaling limits.
In this talk, I briefly review some of the biological background for dormancy, highlight some recent mathematical models and results,
and sketch lines for future research.