Emergence of Function
Indika Rajapakse, Steve Smale

TL;DR
This paper presents a mathematical framework for tissue dynamics, showing how genome behavior within cells and diffusion between cells lead to emergent tissue functions, with convergence guaranteed under certain conditions.
Contribution
It introduces a novel concept of monotonicity and proves that combined with hardwiring, it ensures global convergence of tissue dynamics.
Findings
Monotonicity and hardwiring guarantee convergence.
Mathematical model links genome dynamics to tissue function.
Provides conditions for stable tissue behavior.
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.
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Taxonomy
TopicsGene Regulatory Network Analysis · Mathematical Biology Tumor Growth · Evolution and Genetic Dynamics
