RT info:eu-repo/semantics/article
T1 Biofilms as poroelastic materials
A1 Carpio, Ana
A1 Cebrián de Barrio, Elena
A1 Vidal, Perfecto
K1 Biofilm
K1 Poroelastic
K1 Von Kármán
K1 Thin film
K1 Cellular automata
K1 Total variation based filter
K1 Microbiología
K1 Microbiology
K1 Matemáticas
K1 Mathematics
AB 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.
PB Elsevier
SN 0020-7462
YR 2019
FD 2019
LK http://hdl.handle.net/10259/8262
UL http://hdl.handle.net/10259/8262
LA eng
NO This research has been supported by MINECO grants No. MTM2014-56948-C2-1-P, No. MTM2017-84446-C2-1-R and No. PRX18-00112.
DS Repositorio Institucional de la Universidad de Burgos
RD 09-may-2024