Uniform modeling of bacterial colony patterns with varying nutrient and substrate

Deborah Schwarcz; Herbert Levine; Eshel Ben-Jacob; Gil Ariel

doi:10.1016/j.physd.2015.11.002

Uniform modeling of bacterial colony patterns with varying nutrient and substrate

Deborah Schwarcz, Herbert Levine, Eshel Ben-Jacob, Gil Ariel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Bacteria develop complex patterns depending on growth condition. For example, Bacillus subtilis exhibit five different patterns depending on substrate hardness and nutrient concentration. We present a unified integro-differential model that reproduces the entire experimentally observed morphology diagram at varying nutrient concentrations and substrate hardness. The model allows a comprehensive and quantitative comparison between experimental and numerical variables and parameters, such as colony growth rate, nutrient concentration and diffusion constants. As a result, the role of the different physical mechanisms underlying and regulating the growth of the colony can be evaluated.

Original language	English
Pages (from-to)	91-99
Number of pages	9
Journal	Physica D: Nonlinear Phenomena
Volume	318-319
DOIs	https://doi.org/10.1016/j.physd.2015.11.002
State	Published - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.

Funding

We thank Ismael Rafols for sharing experimental results and electronic copies of Figs. 1 (A) and 4 (A). This article has been supported in part by the NSF Center for Theoretical Biological Physics (Grant Nos. PHY-1427654 and NSF-MCB-1214457 ) at Rice University and by the Tauber Family Funds and the Maguy-Glass Chair in Physics of Complex Systems at Tel Aviv University.

Funders	Funder number
National Science Foundation	1241332, 1427654
Rice University
Center for Theoretical Biological Physics	PHY-1427654, NSF-MCB-1214457
Tel Aviv University

Keywords

Bacterial colonies
Pattern formation
Random lattice
Reaction-diffusion model

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10.1016/j.physd.2015.11.002

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AU - Levine, Herbert

AU - Ben-Jacob, Eshel

AU - Ariel, Gil

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AB - Bacteria develop complex patterns depending on growth condition. For example, Bacillus subtilis exhibit five different patterns depending on substrate hardness and nutrient concentration. We present a unified integro-differential model that reproduces the entire experimentally observed morphology diagram at varying nutrient concentrations and substrate hardness. The model allows a comprehensive and quantitative comparison between experimental and numerical variables and parameters, such as colony growth rate, nutrient concentration and diffusion constants. As a result, the role of the different physical mechanisms underlying and regulating the growth of the colony can be evaluated.

KW - Bacterial colonies

KW - Pattern formation

KW - Random lattice

KW - Reaction-diffusion model

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

Uniform modeling of bacterial colony patterns with varying nutrient and substrate

Abstract

Bibliographical note

Funding

Keywords

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