A 1D active spin model for cell assemblies is solved exactly in the confluent limit and mapped to the KLS model in the fast-switching limit, yielding analytic cluster size distributions.
If the rate of polarity switching, b, is much faster than the rate of hopping a, corresponding to the limit, Q ≪ 1, the model can be approximated by an effective KLS model
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Active spin model for cell assemblies on 1D substrates
A 1D active spin model for cell assemblies is solved exactly in the confluent limit and mapped to the KLS model in the fast-switching limit, yielding analytic cluster size distributions.