title: Structured models of cell migration incorporating molecular binding processes.
abstract: The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological scenarios such as wound healing and cancer. Information about the various structures embedded within these processes allows a detailed exploration of the binding of molecular species to cell-surface receptors within the evolving cell population. In this paper we establish a general spatio-temporal-structural framework that enables the description of molecular binding to cell membranes coupled with the cell population dynamics. We first provide a general theoretical description for this approach and then illustrate it with three examples arising from cancer invasion.
authors.affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Dolivostr. 15, 64293, Darmstadt, Germany. domschke@mathematik.tu-darmstadt.de.
authors.forename: Pia
authors.initials: P
authors.lastname: Domschke
authors.affiliation: Division of Mathematics, University of Dundee, Dundee, DD1 4HN, UK.
authors.forename: Dumitru
authors.initials: D
authors.lastname: Trucu
authors.affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Dolivostr. 15, 64293, Darmstadt, Germany.
authors.forename: Alf
authors.initials: A
authors.lastname: Gerisch
authors.affiliation: School of Mathematics and Statistics, Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, UK.
authors.forename: Mark A J
authors.initials: MAJ
authors.lastname: Chaplain
mesh_terms: D002450:Cell Communication / Q000502:physiology; D002465:Cell Movement / Q000502:physiology*; D049109:Cell Proliferation / Q000502:physiology; D003198:Computer Simulation; D005109:Extracellular Matrix / Q000502:physiology; D006801:Humans; D055641:Mathematical Concepts; D053511:Matrix Metalloproteinase 14 / Q000502:physiology; D008954:Models, Biological; D009361:Neoplasm Invasiveness / Q000503:physiopathology; D011956:Receptors, Cell Surface / Q000502:physiology; D055293:Receptors, Urokinase Plasminogen Activator / Q000502:physiology; D015398:Signal Transduction / Q000502:physiology; D014568:Urokinase-Type Plasminogen Activator / Q000502:physiology
chemical_list: C524898:PLAUR protein, human; D011956:Receptors, Cell Surface; D055293:Receptors, Urokinase Plasminogen Activator; D014568:Urokinase-Type Plasminogen Activator; C507086:MMP14 protein, human; D053511:Matrix Metalloproteinase 14
keywords: Cancer invasion; Cell-surface receptors; Spatio-temporal model; Structured population model