title: Emergence of function from coordinated cells in a tissue.
abstract: This work presents a mathematical study of tissue dynamics. We combine within-cell genome dynamics and diffusion between cells, so that the synthesis of the two gives rise to the emergence of function, akin to establishing "tissue homeostasis." We introduce two concepts, monotonicity and a weak version of hardwiring. These together are sufficient for global convergence of the tissue dynamics.
authors.affiliation: Department of Computational Medicine and Bioinformatics, Medical School, Department of Mathematics, University of Michigan, Ann Arbor, MI 48105; smale@math.berkeley.edu indikar@umich.edu.
authors.forename: Indika
authors.initials: I
authors.lastname: Rajapakse
authors.affiliation: Department of Mathematics, University of California, Berkeley, CA 94720 smale@math.berkeley.edu indikar@umich.edu.
authors.forename: Stephen
authors.initials: S
authors.lastname: Smale
mesh_terms: D000465:Algorithms; D002450:Cell Communication; D002468:Cell Physiological Phenomena; D002477:Cells / Q000378:metabolism; D004058:Diffusion; D016678:Genome; D006706:Homeostasis; D008954:Models, Biological; D009024:Morphogenesis
keywords: diffusion; emergence; genome dynamics; monotonicity; tissue dynamics