Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: System-Size Effects on the Collective Dynamics of Cell Populations with
  Global Coupling   Phase-transitionlike behavior is found to occur in globally coupled systems
of finite number of elements, and its theoretical explanation is provided. The
system studied is a population of globally pulse-coupled integrate-and-fire
cells subject to small additive noise. As the population size is changed, the
system shows a phase-transitionlike behavior. That is, there exits a
well-defined critical system size above which the system stays in a monostable
state with high-frequency activity while below which a new phase characterized
by alternation of high- and low frequency activities appears. The mean field
motion obeys a stochastic process with state-dependent noise, and the above
phenomenon can be interpreted as a noise-induced transition characteristic to
such processes. Coexistence of high- and low frequency activities observed in
finite size systems is reported by N. Cohen, Y. Soen and E. Braun[Physica A249,
600 (1998)] in the experiments of cultivated heart cells. The present report
gives the first qualitative interpretation of their experimental results.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: adap-org