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A geometric model for non-uniform processes of morphogenesis
- Publication Year :
- 2022
-
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.<br />Comment: arXiv admin note: substantial text overlap with arXiv:2108.02865
- Subjects :
- Mathematical Physics
Mathematics - Differential Geometry
74A20, 53C12, 22A22
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2207.03252
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2022.104745