A thin-film extensional flow model for biofilm expansion by sliding motility
نویسندگان
چکیده
منابع مشابه
Thin-Film Flow Influenced by Thermal Noise
We study the influence of thermal fluctuations on the dewetting dynamics of thin liquid films. Starting from the incompressible Navier-Stokes equations with thermal noise, we derive a fourth-order degenerate parabolic stochastic partial differential equation which includes a conservative, multiplicative noise term—the stochastic thin-film equation. Technically, we rely on a long-wave-approximat...
متن کاملMicrostructured Thin Film Nitinol for a Neurovascular Flow-Diverter
A cerebral aneurysm occurs as a result of a weakened blood vessel, which allows blood to flow into a sac or a ballooned section. Recent advancement shows that a new device, 'flow-diverter', can divert blood flow away from the aneurysm sac. People found that a flow-diverter based on thin film nitinol (TFN), works very effectively, however there are no studies proving the mechanical safety in irr...
متن کاملMicroscopic model for thin film spreading.
A microscopic, driven lattice gas model is proposed for the dynamics and spatiotemporal fluctuations of the precursor film observed in spreading experiments. Matter is transported both by holes and particles, and the distribution of each can be described by driven diffusion with a moving boundary. This picture leads to a stochastic partial differential equation for the shape of the boundary. Ex...
متن کاملThin-film modelling of biofilm growth and quorum sensing
Biofilms are slimy films of bacteria that typically grow on solid surfaces with a fluid interface. Two mathematical models for nutrient dependent, early-stage biofilm growth and quorum sensing are proposed and studied. An aim of this work is to use thin-film methods to derive a dimensionally reduced model on a stronger theoretical basis to that of Ward et al. (J. Math. Biol., 47, 23-55, 2003). ...
متن کاملSimulations of Surfactant Driven Thin Film Flow
This thesis is intended to fulfill the requirements of the Math and Physics departments at Harvey Mudd College. We begin with a brief introduction to the study of surfactant dynamics followed by some background on the experimental framework our work is related to. We then go through a derivation of the model we use, and explore in depth the nature of the Equation of State (EoS), the relationshi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2019
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2019.0175