RT Journal Article T1 An integro-differential equation arising as a limit of individual cell-based models A1 Bodnar, Marek A1 Velázquez, J.J. L. AB 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. PB Elsevier SN 0022-0396 YR 2006 FD 2006-03-15 LK https://hdl.handle.net/20.500.14352/49639 UL https://hdl.handle.net/20.500.14352/49639 LA eng NO DGYCIT NO European Grant Programme DS Docta Complutense RD 28 abr 2024