AI Article Synopsis
- Quorum sensing is a communication method used by bacteria where they release signaling substances to assess population density and spatial arrangements.
- The study models the interaction among N cells using a parabolic partial differential equation (PDE) for the signaling substance and coupled ordinary differential equations (ODEs) for the substance within each cell.
- The model ultimately analyzes how flow influences bacterial communication and examines various geometric setups to understand these dynamics better.
Article Abstract
Quorum sensing is a wide-spread mode of cell-cell communication among bacteria in which cells release a signalling substance at a low rate. The concentration of this substance allows the bacteria to gain information about population size or spatial confinement. We consider a model for N cells which communicate with each other via a signalling substance in a diffusive medium with a background flow. The model consists of an initial boundary value problem for a parabolic PDE describing the exterior concentration u of the signalling substance, coupled with N ODEs for the masses ai of the substance within each cell. The cells are balls of radius R in R3, and under some scaling assumptions we formally derive an effective system of N ODEs describing the behaviour of the cells. The reduced system is then used to study the effect of flow on communication in general, and in particular for a number of geometric configurations.
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| http://dx.doi.org/10.1007/s11538-014-9974-2 | DOI Listing |
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