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Article

Unveiling the Mechanisms for Campylobacter jejuni Biofilm Formation Using a Stochastic Mathematical Model

by
Paulina A. Dzianach
1,2,3,
Gary A. Dykes
3,4,
Norval J. C. Strachan
1,
Ken J. Forbes
5 and
Francisco J. Pérez-Reche
1,*
1
School of Natural and Computing Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK
2
Child Health Analytics, Telethon Kids Institute, Nedlands, WA 6009, Australia
3
School of Public Health, Curtin University, Perth, WA 6845, Australia
4
School of Agriculture and Food Sciences, University of Queensland, St. Lucia, QLD 4072, Australia
5
School of Medicine, Medical Sciences and Nutrition, University of Aberdeen, Aberdeen AB24 3UE, UK
*
Author to whom correspondence should be addressed.
Hygiene 2024, 4(3), 326-345; https://doi.org/10.3390/hygiene4030026
Submission received: 9 July 2024 / Revised: 31 July 2024 / Accepted: 1 August 2024 / Published: 8 August 2024

Abstract

Campylobacter jejuni plays a significant role in human health, food production, and veterinary practice. Biofilm formation is a likely mechanism explaining the survival of C. jejuni in seemingly unfavourable environments, but the underlying mechanisms are poorly understood. We propose a mathematical model to unify various observations regarding C. jejuni biofilm formation. Specifically, we present a cellular automaton with stochastic dynamics that describes both the probability of biofilm initiation and its subsequent growth. Our model incorporates fundamental processes such as cell rearrangement, diffusion of chemical compounds, accumulation of extracellular material, cell growth, lysis, and deactivation due to nutrient scarcity. The model predicts an optimal nutrient concentration that enhances population survival, revealing a trade-off where higher nutrient levels may harm individual cells but benefit the overall population. Our results suggest that the lower biofilm accumulation observed experimentally in aerobic conditions compared to microaerobic conditions may be due to a reduced surface invasion probability of individual cells. However, cells that do manage to invade can generate microcolonies of a similar size under both aerobic and microaerobic conditions. These findings provide new insights into the survival probability and size of C. jejuni biofilms, suggesting potential targets for controlling its biofilm formation in various environments.
Keywords: biofilms; extracellular matrix (ECM); cellular automata (CA); individual based modelling (IbM); Campylobacter jejuni biofilms; extracellular matrix (ECM); cellular automata (CA); individual based modelling (IbM); Campylobacter jejuni

Share and Cite

MDPI and ACS Style

Dzianach, P.A.; Dykes, G.A.; Strachan, N.J.C.; Forbes, K.J.; Pérez-Reche, F.J. Unveiling the Mechanisms for Campylobacter jejuni Biofilm Formation Using a Stochastic Mathematical Model. Hygiene 2024, 4, 326-345. https://doi.org/10.3390/hygiene4030026

AMA Style

Dzianach PA, Dykes GA, Strachan NJC, Forbes KJ, Pérez-Reche FJ. Unveiling the Mechanisms for Campylobacter jejuni Biofilm Formation Using a Stochastic Mathematical Model. Hygiene. 2024; 4(3):326-345. https://doi.org/10.3390/hygiene4030026

Chicago/Turabian Style

Dzianach, Paulina A., Gary A. Dykes, Norval J. C. Strachan, Ken J. Forbes, and Francisco J. Pérez-Reche. 2024. "Unveiling the Mechanisms for Campylobacter jejuni Biofilm Formation Using a Stochastic Mathematical Model" Hygiene 4, no. 3: 326-345. https://doi.org/10.3390/hygiene4030026

APA Style

Dzianach, P. A., Dykes, G. A., Strachan, N. J. C., Forbes, K. J., & Pérez-Reche, F. J. (2024). Unveiling the Mechanisms for Campylobacter jejuni Biofilm Formation Using a Stochastic Mathematical Model. Hygiene, 4(3), 326-345. https://doi.org/10.3390/hygiene4030026

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