A Multiscale Model of Biofilm as a Senescence-Structured Fluid
Bruce P. Ayati, Isaac Klapper
Abstract
We derive a physiologically structured multiscale model for biofilm development. The model has components on two spatial scales, which induce different time scales into the problem. The macroscopic behavior of the system is modeled using growth-induced flow in a domain with a moving boundary. Cell-level processes are incorporated into the model using a so-called physiologically structured variable to represent cell senescence, which in turn affects cell division and mortality. We present computational results for our models which shed light on modeling the combined role senescence and the biofilm state play in the defense strategy of bacteria.
Create a lesson
Related papers
Population Structures with Positive Feedback and Asymmetric Division
Gabriel Dooley, Camden Kilton, Brynley Needham et al.
Bayesian comparison of Langevin dynamics for cell motility from positional observation
Yusuke Kato, Jan Albrecht, Ted Moldenhawer et al.
A quantitative model for the emergent population dynamics of the melanoma MITF rheostat
Keith L. Chambers, Richard M. White, Colin R. Goding et al.
Local intercellular coupling is sufficient for long-range calcium signaling
Benjamin M. Goykadosh, Vasuretha Chandar, Harikrishnan Parameswaran
Necessary and sufficient condition for hysteresis in the mathematical model of the cell type regulation of Bacillus subtilis
Sohei Tasaki, Madoka Nakayama, Izumi Takagi et al.
A phenomenological multiscale framework for orientational interactions and viscoelasticity in migrating epithelial monolayers
Ivana Pajic-Lijakovic, Milan Milivojevic, Peter V. E. McClintock