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oai:riubu.ubu.es:10259/82622024-01-10T01:05:32Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

Carpio, Ana Cebrián de Barrio, Elena Vidal, Perfecto 2024-01-09T11:31:40Z 2024-01-09T11:31:40Z 2019 0020-7462 http://hdl.handle.net/10259/8262 10.1016/j.ijnonlinmec.2018.10.012 Biofilms are bacterial aggregates encased in a self-produced polymeric matrix which attach to moist surfaces and are extremely resistant to chemicals and antibiotics. Recent experiments show that their structure is defined by the interplay of elastic deformations and liquid transport within the biofilm, in response to the cellular activity and the interaction with the surrounding environment. We propose a poroelastic model for elastic deformation and liquid transport in three dimensional biofilms spreading on agar surfaces. The motion of the boundaries can be described by the combined use of Von Kármán type approximations for the agar/biofilm interface and thin film approximations for the biofilm/air interface. Bacterial activity informs the macroscopic continuous model through source terms and residual stresses, either phenomenological or derived from microscopic models. We present a procedure to estimate the structure of such residual stresses, based on a simple cellular automata description of bacterial activity. Inspired by image processing, we show that a filtering strategy effectively smooths out the rough tensors provided by the stochastic cellular automata rules, allowing us to insert them in the macroscopic model without numerical instability. This research has been supported by MINECO grants No. MTM2014-56948-C2-1-P, No. MTM2017-84446-C2-1-R and No. PRX18-00112. application/pdf eng Elsevier International Journal of Non-Linear Mechanics. 2019, V. 109, p. 1-8 https://doi.org/10.1016/j.ijnonlinmec.2018.10.012 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Biofilm Poroelastic Von Kármán Thin film Cellular automata Total variation based filter Microbiología Matemáticas Microbiology Mathematics Biofilms as poroelastic materials info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion International Journal of Non-Linear Mechanics 109 1 8