What is it about?
In this paper we study a mathematical model of chemically driven cell aggregation. Such a model is known as Keller-Segel model. We prove that if the initial concentration of cells satisfies certain size conditions then the colony does not form an aggregate.
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Why is it important?
Such a result solves an open question conjectured in 2010 by Bournaveas and Calvez in the mathematical community.
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This page is a summary of: An approximate treatment of gravitational collapse, Physica D Nonlinear Phenomena, November 2013, Elsevier,
DOI: 10.1016/j.physd.2013.07.010.
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