Emergence of function from coordinated cells in a tissue

Indika Rajapakse; Stephen Smale

doi:10.1073/pnas.1621145114

Emergence of function from coordinated cells in a tissue

Proc Natl Acad Sci U S A. 2017 Feb 14;114(7):1462-1467. doi: 10.1073/pnas.1621145114. Epub 2017 Jan 30.

Authors

Indika Rajapakse¹, Stephen Smale²

Affiliations

¹ 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.
² Department of Mathematics, University of California, Berkeley, CA 94720 smale@math.berkeley.edu indikar@umich.edu.

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.

Keywords: diffusion; emergence; genome dynamics; monotonicity; tissue dynamics.

MeSH terms

Algorithms
Cell Communication
Cell Physiological Phenomena*
Cells / metabolism
Diffusion
Genome
Homeostasis
Models, Biological*
Morphogenesis