title: Pattern formation in integrative biology--a marriage of theory and experiment.
abstract: The interdisciplinary challenge to discover the underlying mechanisms in the generation of biological pattern and form are central issues in development. In this review we briefly discuss the philosophy of such an integrative biology approach. We then describe one pattern formation approach which has intimate ties to experiment, namely the mechano-chemical theory. We discuss, by way of example, the successful use of such a framework in the formation of cell-matrix networks, intimately associated with angiogenesis. All of the model parameters are estimated from experiment and the results of the model analysis compare well with experiment. We conclude with some general views on the use of models in biology.
authors.affiliation: Department of Applied Mathematics, University of Washington, Seattle 98195-2420, USA. murrayjd@amath.washington.edu
authors.forename: J D
authors.initials: JD
authors.lastname: Murray
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D019521:Body Patterning; D002450:Cell Communication; D002465:Cell Movement; D004622:Embryo, Mammalian / Q000166:cytology; D005109:Extracellular Matrix / Q000502:physiology; D006801:Humans; D008954:Models, Biological; D018919:Neovascularization, Physiologic