Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localized Signaling Compartments in 2-D Coupled by a Bulk Diffusion
  Field: Quorum Sensing and Synchronous Oscillations in the Well-Mixed Limit   We analyze oscillatory instabilities for a coupled PDE-ODE system modeling
the communication between localized spatially segregated dynamically active
signaling compartments that are coupled through a passive extracellular bulk
diffusion field in a bounded 2-D domain. Each signaling compartment is assumed
to secrete a chemical into the extracellular medium (bulk region) and it can
also sense the concentration of this chemical in the region around its
boundary. This feedback from the bulk region, resulting from the entire
collection of cells, in turn modifies the intracellular dynamics within each
cell. In the limit where the signaling compartments are circular disks with a
small common radius $\epsilon \ll 1$ and where the bulk diffusivity is
asymptotically large, a matched asymptotic analysis is used to reduce the
dimensionless PDE-ODE system into a nonlinear ODE system with global coupling.
For Sel'kov reaction kinetics, this ODE system for the intracellular dynamics
and the spatial average of the bulk diffusion field is then used to investigate
oscillatory instabilities in the dynamics of the cells that are triggered due
to the global coupling. In particular, numerical bifurcation software on the
ODEs is used to study the overall effect of coupling defective cells (cells
that behave differently from the remaining cells) to a group of identical
cells. Moreover, when the number of cells is large, the Kuramoto order
parameter is computed to predict the degree of phase synchronization of the
intracellular dynamics. Quorum sensing behavior, characterized by the onset of
collective behavior in the intracellular dynamics as the number of cells
increases above a threshold, is also studied. Our analysis shows that the cell
population density plays a dual role of triggering and then quenching
synchronous oscillations in the intracellular dynamics.

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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th