General relationship among evolvability, fluctuations and robustness: Selection of/by/for dynamical systems

General relationship among evolvability, fluctuations and robustness: Selection of/by/for dynamical systems

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Kunihiko Kaneko , IAS
Fine Hall 214

PLEASE NOTE DIFFERENT TIME (11:00 A.M.) AND LOCATION.  In biological evolution under given fitness, selection process is based on phenotypes (i.e., a set of state variables such as concentrations of chemicals in a cell), which are shaped by dynamical systems whose rule are given by genes which change through evolution. In other words, dynamical systems are selected as a result of dynamical systems. From simulations of such evolving dynamical systems as well as from bacterial evolution experiments, we first have uncovered evolutionary fluctuation-response relationship, i.e., proportionality between phenotypic variances by noise in dynamics and by genetic variation. To explain this relationship, we propose the hypothesis that phenotypic changes in a high-dimensional state space, after evolution, are constrained along a low-dimensional slow-manifold, and examine its validity. If time is allowed, I hope to touch upon possibility for mathematics to deal with such self-referential dynamical systems.