Syracuse

Universal constraints on selection strength in lineage trees

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Genthon, Arthur | Lacoste, David

Edité par CCSD ; American Physical Society -

International audience. We obtain general inequalities constraining the difference between the average of an arbitrary function ofa phenotypic trait, which includes the fitness landscape of the trait itself, in the presence or in the absence ofnatural selection. These inequalities imply bounds on the strength of selection, which can be measured fromthe statistics of trait values and divisions along lineages. The upper bound is related to recent generalizations oflinear response relations in stochastic thermodynamics, and shares common features with Fisher’s fundamentaltheorem of natural selection, and with its generalization by Price, although they define different measures ofselection. The lower bound follows from recent improvements on Jensen’s inequality, and both bounds dependon the variability of the fitness landscape. We illustrate our results using numerical simulations of growing cellcolonies and with experimental data of time-lapse microscopy experiments of bacteria cell colonies.

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