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The physics of genome dynamics requires innovative out-of-equilibrium
approaches because the cell nucleus, from the most basic chemical reactions to
evolutionary timescales of billions of years, strives to counteract disorder in order
to be healthy, consuming energy, being alive. My objective is to develop a
physical theory able to describe intranuclear dynamics, with the ambition of
reaching a quantitative understanding of the two essential processes of gene
regulation and DNA recombination. In particular, I investigate: (i) how 3D
chromosome conformation is shaped by specific biological processes.
Particularly loop extrusion and the formation of foci - or phases - for
heterochromatin and transcription, and (ii) the fundamental implications of thee
mechanisms on control and reliability of the biological processes of transcriptional
induction, gene silencing, and evolution. In this talk I will present my original
approach to simulate loop extrusion, an active process central in regulating the
shape of chromatin in vivo. The "gold standard" currently uses molecular
dynamics simulations: while very flexible, this limits our possibility (i) to explore
the parameter space in an efficient manner and (ii) to dissect the observed effects
under the lenses of a coherent analytical theory. I will show my original approach
that exploits the analytical solution of the Einstein-Smoluchowski equation for the
Rouse model affected by the action of extruders simulated in 1D. The resulting
probability distributions highlight the hallmarks of the out-of-equilibrium
processes on chromatin conformation observed in vivo by experiments. Finally,
this approach permits the definition of the Gibbs entropy of chromosome
conformation. I will show how the application of this concept to simplified toymodels
increases our analytical understanding of the loop extrusion process.
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