TY - JOUR
AB - We consider a population dynamics model coupling cell growth to a diffusion in the space of metabolic phenotypes as it can be obtained from realistic constraints-based modelling.
In the asymptotic regime of slow
diffusion, that coincides with the relevant experimental range, the resulting
non-linear Fokkerâ€“Planck equation is solved for the steady state in the WKB
approximation that maps it into the ground state of a quantum particle in an
Airy potential plus a centrifugal term. We retrieve scaling laws for growth rate
fluctuations and time response with respect to the distance from the maximum
growth rate suggesting that suboptimal populations can have a faster response
to perturbations.
AU - De Martino, Daniele
AU - Masoero, Davide
ID - 1188
IS - 12
JF - Journal of Statistical Mechanics: Theory and Experiment
TI - Asymptotic analysis of noisy fitness maximization, applied to metabolism & growth
VL - 2016
ER -