English

A geometric model for non-uniform processes of morphogenesis

Mathematical Physics 2023-02-08 v3 Differential Geometry math.MP

Abstract

In this paper we present an application of the groupoid theory to the study of relevant case of material evolution phenomena, the \textit{process of morphogenesis}. Our theory is inspired by Walter Noll's theories of continuous distributions and provides a unifying and very simple framework of these phenomena. We present the explicit equation, the \textit{morphogenesis equation}, to calculate the \textit{material distributions} associated to this phenomenon.

Keywords

Cite

@article{arxiv.2207.03252,
  title  = {A geometric model for non-uniform processes of morphogenesis},
  author = {V. M. Jiménez and M. de León},
  journal= {arXiv preprint arXiv:2207.03252},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2108.02865

R2 v1 2026-06-24T12:17:09.590Z