title: Universal protein distributions in a model of cell growth and division.
abstract: Protein distributions measured under a broad set of conditions in bacteria and yeast were shown to exhibit a common skewed shape, with variances depending quadratically on means. For bacteria these properties were reproduced by temporal measurements of protein content, showing accumulation and division across generations. Here we present a stochastic growth-and-division model with feedback which captures these observed properties. The limiting copy number distribution is calculated exactly, and a single parameter is found to determine the distribution shape and the variance-to-mean relation. Estimating this parameter from bacterial temporal data reproduces the measured distribution shape with high accuracy and leads to predictions for future experiments.
authors.affiliation: Department of Chemical Engineering and Laboratory of Network Biology, Technion, Haifa 32000, Israel.
authors.forename: Naama
authors.initials: N
authors.lastname: Brenner
authors.affiliation: Courant Institute of Mathematical Sciences, New York, New York 10012 USA and NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai, 3663 Zhongshan Road North, Shanghai 200062, China.
authors.forename: C M
authors.initials: CM
authors.lastname: Newman
authors.affiliation: Department of Physics and Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat Gan 52900, Israel.
authors.forename: Dino
authors.initials: D
authors.lastname: Osmanović
authors.affiliation: Department of Physics and Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat Gan 52900, Israel.
authors.forename: Yitzhak
authors.initials: Y
authors.lastname: Rabin
authors.affiliation: Department of Physics and Astronomy, Department of Computational and Systems Biology, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA.
authors.forename: Hanna
authors.initials: H
authors.lastname: Salman
authors.affiliation: Department of Physics and Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 USA and NYU-ECNU Institutes of Physics and Mathematical Sciences at NYU Shanghai, 3663 Zhongshan Road North, Shanghai, 200062, China.
authors.forename: D L
authors.initials: DL
authors.lastname: Stein
mesh_terms: D018407:Bacterial Physiological Phenomena; D002455:Cell Division / Q000502:physiology; D049108:Cell Enlargement; D003198:Computer Simulation; D025461:Feedback, Physiological / Q000502:physiology; D008954:Models, Biological; D013269:Stochastic Processes