%0 Journal Article
%A Bodnar, Marek
%A Velázquez, J.J. L.
%T An integro-differential equation arising as a limit of individual cell-based models
%D 2006
%@ 0022-0396
%U https://hdl.handle.net/20.500.14352/49639
%X In this paper, we study mathematical properties of an integro-differential equation that arises as a particular limit case in the study of individual cell-based model. We obtain global well-posedness for some classes of interaction potentials and finite time blow-up for others. The existence of space homogeneous steady states as well as long-time asymptotics for the solutions of the problem is also discussed.
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