---
_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'
...