RT Journal Article
T1 Well posedness of fluid-solid mixture models for biofilm spread
A1 Carpio Rodríguez, Ana María
A1 Duro, Gema
AB Two phase solid-fluid mixture models are ubiquitous in biological applications. For instance, models for growth of tissues and biofilms combine time dependent and quasi-stationary boundary value problems set in domains whose boundary moves in response to variations in the mechano-chemical variables. For a model of biofilm spread, we show how to improve its stability properties by characterizing the time derivatives of relevant quasi-stationary magnitudes in terms of additional boundary value problems. We also give conditions for well posedness of time dependent submodels set in moving domains depending on the motion of the boundary. After constructing solutions for transport, diffusion and elliptic submodels for volume fractions, displacements, velocities, pressures and concentrations with the required regularity, we are able to handle the full model of biofilm spread in moving domains assuming we know the dynamics of the boundary. These techniques are general and can be applied in models with a similar structure arising in biological applications.
PB Elsevier
SN 0307-904X
YR 2023
FD 2023-07-03
LK https://hdl.handle.net/20.500.14352/87292
UL https://hdl.handle.net/20.500.14352/87292
LA eng
NO Carpio Rodríguez, A. M. & Duro, G. «Well Posedness of Fluid-Solid Mixture Models for Biofilm Spread». Applied Mathematical Modelling, vol. 124, diciembre de 2023, pp. 64-85. DOI.org (Crossref), https://doi.org/10.1016/j.apm.2023.07.005.
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 16 abr 2025