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The bacterial colony is a powerful experimental platform for broad biological research, and reaction-diffusion models are widely used to study the mechanisms of its formation process. However, there are still some crucial factors that drastically affect the colony growth but are not considered in the current models, such as the non-homogeneously distributed nutrient within the colony and the substantially decreasing expansion rate caused by agar dehydration. In our study, we propose two plausible reaction-diffusion models (the VN and MVN models) based on the above two factors and validate them against experimental data. Both models provide a plausible description of the non-homogeneously distributed nutrient within the colony and outperform the classical Fisher-Kolmogorov equation and its variation in better describing experimental data. Moreover, by accounting for agar dehydration, the MVN model captures how a colony's expansion slows down and the change of a colony's height profile over time. Furthermore, we demonstrate the existence of a traveling wave solution for the VN model.

Titel:	Reaction-Diffusion Modeling of E. coli Colony Growth Based on Nutrient Distribution and Agar Dehydration.
Autor/in / Beteiligte Person:	He, C ; Han, L ; Harris, DC ; Bayakhmetov, S ; Wang, X ; Kuang, Y
Link:	Zum Volltext
Zeitschrift:	Bulletin of mathematical biology, Jg. 85 (2023-05-31), Heft 7, S. 61
Veröffentlichung:	New York, NY : Springer ; <i>Original Publication</i>: New York, Pergamon Press., 2023
Medientyp:	academicJournal
ISSN:	1522-9602 (electronic)
DOI:	10.1007/s11538-023-01163-2
Schlagwort:	Humans Agar Dehydration Mathematical Concepts Models, Biological Escherichia coli
Sonstiges:	Nachgewiesen in: MEDLINE Sprachen: English Publication Type: Journal Article; Research Support, N.I.H., Extramural; Research Support, U.S. Gov't, Non-P.H.S. Language: English [Bull Math Biol] 2023 May 31; Vol. 85 (7), pp. 61. <i>Date of Electronic Publication: </i>2023 May 31. MeSH Terms: Models, Biological* ; Escherichia coli* ; Humans ; Agar ; Dehydration ; Mathematical Concepts References: Basu S, Gerchman Y, Collins CH, Arnold FH, Weiss R (2005) A synthetic multicellular system for programmed pattern formation. Nature 434(7037):1130–1134. (PMID: 10.1038/nature03461) ; Blanchard AE, Lu T (2015) Bacterial social interactions drive the emergence of differential spatial colony structures. BMC Syst Biol 9(1):1–13. (PMID: 10.1186/s12918-015-0188-5) ; Caboussat A, Glowinski R (2009) A numerical method for a non-smooth advection–diffusion problem arising in sand mechanics. Commun Pure Appl Anal 8(1):161. 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(PMID: 10.1186/1752-0509-6-93) Grant Information: R01 GM131405 United States GM NIGMS NIH HHS Contributed Indexing: Keywords: Bacterial colony; Mathematical modeling; Nutrient distribution; Reaction–diffusion models; Traveling wave Substance Nomenclature: 9002-18-0 (Agar) Entry Date(s): Date Created: 20230531 Date Completed: 20230602 Latest Revision: 20230622 Update Code: 20231215

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Reaction-Diffusion Modeling of E. coli Colony Growth Based on Nutrient Distribution and Agar Dehydration.