3D Cellular Automata-Based Model of Bacterial Biofilm Formation with Developed Surface Spreading Mechanism

16 pages•Published: December 11, 2024

Anna Maslovskaya, Samvel Sarukhanian and Christina Kuttler

Abstract

Cellular automata, being an apparatus for the implementation of discrete dynamic models, play a special role in mathematical biology and in silico studies of microorganisms. The study was undertaken to design 3D hybrid cellular automata-based model of bacterial biofilm taking into account the surface spreading mechanism. The model formalization is based on the cellular automaton algorithm of biofilm evolution, a discrete analogy for the diffusion model of nutrient consumption, and an additional inoculation mechanism. The proposed computational procedure allows to conduct simulations under variations of key model parameters: the initial nutrient level, the probability of additional inoculation, and the radius of random inoculation transfer. A series of in silico experiments was conducted to investigate biofilm formation with a focus on ensuring two key factors: maximum space occupation with minimal resource consumption.

Keyphrases: bacterial biofilm, ca algorithm, cellular automata, hybrid model, inoculation mechanism, quorum sensing, simulation of bacterial growth

In: Varvara L Turova, Andrey E Kovtanyuk and Johannes Zimmer (editors). Proceedings of 3rd International Workshop on Mathematical Modeling and Scientific Computing, vol 104, pages 193-208.

Links:	https://easychair.org/publications/paper/P7X9
	https://doi.org/10.29007/m864

BibTeX entry

@inproceedings{MMSC2024:3D_Cellular_Automata_Based,
  author    = {Anna Maslovskaya and Samvel Sarukhanian and Christina Kuttler},
  title     = {3D Cellular Automata-Based Model of Bacterial Biofilm Formation with Developed Surface Spreading Mechanism},
  booktitle = {Proceedings of  3rd International Workshop on Mathematical Modeling and Scientific Computing},
  editor    = {Varvara L Turova and Andrey E Kovtanyuk and Johannes Zimmer},
  series    = {EPiC Series in Computing},
  volume    = {104},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/P7X9},
  doi       = {10.29007/m864},
  pages     = {193-208},
  year      = {2024}}

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