---
_id: '1188'
abstract:
- lang: eng
text: "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. \r\nIn the asymptotic regime of slow\r\ndiffusion, that coincides with
the relevant experimental range, the resulting\r\nnon-linear Fokker–Planck equation
is solved for the steady state in the WKB\r\napproximation that maps it into the
ground state of a quantum particle in an\r\nAiry potential plus a centrifugal
term. We retrieve scaling laws for growth rate\r\nfluctuations and time response
with respect to the distance from the maximum\r\ngrowth rate suggesting that suboptimal
populations can have a faster response\r\nto perturbations."
acknowledgement: D De Martino is supported by the People Programme (Marie Curie Actions)
of the European Union's Seventh Framework Programme (FP7/2007–2013) under REA grant
agreement no. [291734]. D Masoero is supported by the FCT scholarship, number SFRH/BPD/75908/2011.
D De Martino thanks the Grupo de Física Matemática of the Universidade de Lisboa
for the kind hospitality. We also wish to thank Matteo Osella, Vincenzo Vitagliano
and Vera Luz Masoero for useful discussions, also late at night.
article_number: '123502'
author:
- first_name: Daniele
full_name: De Martino, Daniele
id: 3FF5848A-F248-11E8-B48F-1D18A9856A87
last_name: De Martino
orcid: 0000-0002-5214-4706
- first_name: Davide
full_name: Masoero, Davide
last_name: Masoero
citation:
ama: 'De Martino D, Masoero D. Asymptotic analysis of noisy fitness maximization,
applied to metabolism & growth. Journal of Statistical Mechanics:
Theory and Experiment. 2016;2016(12). doi:10.1088/1742-5468/aa4e8f'
apa: 'De Martino, D., & Masoero, D. (2016). Asymptotic analysis of noisy fitness
maximization, applied to metabolism & growth. Journal of Statistical
Mechanics: Theory and Experiment. IOPscience. https://doi.org/10.1088/1742-5468/aa4e8f'
chicago: 'De Martino, Daniele, and Davide Masoero. “Asymptotic Analysis of Noisy
Fitness Maximization, Applied to Metabolism & Growth.” Journal of
Statistical Mechanics: Theory and Experiment. IOPscience, 2016. https://doi.org/10.1088/1742-5468/aa4e8f.'
ieee: 'D. De Martino and D. Masoero, “Asymptotic analysis of noisy fitness maximization,
applied to metabolism & growth,” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2016, no. 12. IOPscience, 2016.'
ista: 'De Martino D, Masoero D. 2016. Asymptotic analysis of noisy fitness maximization,
applied to metabolism & growth. Journal of Statistical Mechanics: Theory
and Experiment. 2016(12), 123502.'
mla: 'De Martino, Daniele, and Davide Masoero. “Asymptotic Analysis of Noisy Fitness
Maximization, Applied to Metabolism & Growth.” Journal of Statistical
Mechanics: Theory and Experiment, vol. 2016, no. 12, 123502, IOPscience, 2016,
doi:10.1088/1742-5468/aa4e8f.'
short: 'D. De Martino, D. Masoero, Journal of Statistical Mechanics: Theory and
Experiment 2016 (2016).'
date_created: 2018-12-11T11:50:37Z
date_published: 2016-12-30T00:00:00Z
date_updated: 2021-01-12T06:48:57Z
day: '30'
department:
- _id: GaTk
doi: 10.1088/1742-5468/aa4e8f
ec_funded: 1
intvolume: ' 2016'
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1606.09048
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: ' Journal of Statistical Mechanics: Theory and Experiment'
publication_status: published
publisher: IOPscience
publist_id: '6165'
quality_controlled: '1'
scopus_import: 1
status: public
title: Asymptotic analysis of noisy fitness maximization, applied to metabolism &
growth
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 2016
year: '2016'
...