title: Mathematical modelling and analysis of cellular signalling in macrophages.
abstract: Cell signalling pathways play a crucial role in proper cell development and behaviour, with implications to survival, chemotaxis, proliferation, and even programmed cell death known as apoptosis. In this article, we outline a mathematical model of the G-protein signalling pathway in a particular cell line of macrophages, focusing on activation of a particular G-protein-coupled receptor, P2Y(6). The model is based on the kinetics of P2Y(6) surface receptors, inositol trisphosphate, cytosolic calcium, and differential dynamics of multiple species of diacylglycerol. Insight into the dynamics of the system is given through recently available experimental results and incorporated into the model. Mathematical analysis of the model, including establishment of global existence, uniqueness, positivity, and boundedness of solutions, and global stability of a unique steady-state solution is discussed.
authors.affiliation: Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, MN 55455, USA. callende@ima.umn.edu
authors.forename: Hannah L
authors.initials: HL
authors.lastname: Callender
authors.forename: Mary
authors.initials: M
authors.lastname: Ann Horn
mesh_terms: D000818:Animals; D008264:Macrophages / Q000166:cytology / Q000378:metabolism*; D008954:Models, Biological; D058470:Receptors, Purinergic P2Y / Q000378:metabolism; D015398:Signal Transduction; D013997:Time Factors; D014530:Uridine Diphosphate / Q000378:metabolism
chemical_list: D058470:Receptors, Purinergic P2Y; D014530:Uridine Diphosphate