Biofilm growth on medical implants with randomness

DOI10.1016/j.mcm.2010.11.075zbMath1235.60082OpenAlexW2001010374MaRDI QIDQ409772

Benito M. Chen-Charpentier, Dan Stanescu

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.11.075

zbMATH Keywords

polynomial chaosbiofilm growthrandom coefficient differential equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items (5)

Unconditionally positive NSFD and classical finite difference schemes for biofilm formation on medical implant using Allen-Cahn equation ⋮ Surrogate-based uncertainty and sensitivity analysis for bacterial invasion in multi-species biofilm modeling ⋮ Modeling of Allee effect in biofilm formation via the stochastic bistable Allen–Cahn partial differential equation ⋮ Parameter estimation using polynomial chaos and maximum likelihood ⋮ Some results about randomized binary Markov chains: theory, computing and applications

Cites Work

• Random coefficient differential equation models for bacterial growth
• Multi-scale modeling of a wound-healing cell migration assay
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
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