--- _id: '1826' abstract: - lang: eng text: Proliferating cell populations at steady-state growth often exhibit broad protein distributions with exponential tails. The sources of this variation and its universality are of much theoretical interest. Here we address the problem by asymptotic analysis of the population balance equation. We show that the steady-state distribution tail is determined by a combination of protein production and cell division and is insensitive to other model details. Under general conditions this tail is exponential with a dependence on parameters consistent with experiment. We discuss the conditions for this effect to be dominant over other sources of variation and the relation to experiments. author: - first_name: Tamar full_name: Tamar Friedlander id: 36A5845C-F248-11E8-B48F-1D18A9856A87 last_name: Friedlander - first_name: Naama full_name: Brenner, Naama last_name: Brenner citation: ama: Friedlander T, Brenner N. Cellular properties and population asymptotics in the population balance equation. Physical Review Letters. 2008;101(1). doi:10.1103/PhysRevLett.101.018104 apa: Friedlander, T., & Brenner, N. (2008). Cellular properties and population asymptotics in the population balance equation. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.101.018104 chicago: Friedlander, Tamar, and Naama Brenner. “Cellular Properties and Population Asymptotics in the Population Balance Equation.” Physical Review Letters. American Physical Society, 2008. https://doi.org/10.1103/PhysRevLett.101.018104. ieee: T. Friedlander and N. Brenner, “Cellular properties and population asymptotics in the population balance equation,” Physical Review Letters, vol. 101, no. 1. American Physical Society, 2008. ista: Friedlander T, Brenner N. 2008. Cellular properties and population asymptotics in the population balance equation. Physical Review Letters. 101(1). mla: Friedlander, Tamar, and Naama Brenner. “Cellular Properties and Population Asymptotics in the Population Balance Equation.” Physical Review Letters, vol. 101, no. 1, American Physical Society, 2008, doi:10.1103/PhysRevLett.101.018104. short: T. Friedlander, N. Brenner, Physical Review Letters 101 (2008). date_created: 2018-12-11T11:54:13Z date_published: 2008-07-01T00:00:00Z date_updated: 2021-01-12T06:53:27Z day: '01' doi: 10.1103/PhysRevLett.101.018104 extern: 1 intvolume: ' 101' issue: '1' main_file_link: - open_access: '0' url: http://arxiv.org/abs/0804.4804 month: '07' publication: Physical Review Letters publication_status: published publisher: American Physical Society publist_id: '5280' quality_controlled: 0 status: public title: Cellular properties and population asymptotics in the population balance equation type: journal_article volume: 101 year: '2008' ...