--- _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' ...