Emergence of Function
Other Quantitative Biology
2016-10-17 v1 Dynamical Systems
Abstract
This work gives a mathematical study of tissue dynamics. We combine within-cell genome dynamics and diffusion between cells, where the synthesis of the two gives rise to the emergence of function. We introduce a concept of monotonicity and prove that monotonicity together with hardwiring, defined as all cells of the same tissue having the same genome dynamics, is sufficient for the global convergence of the tissue dynamics.
Cite
@article{arxiv.1610.04224,
title = {Emergence of Function},
author = {Indika Rajapakse and Steve Smale},
journal= {arXiv preprint arXiv:1610.04224},
year = {2016}
}