Growth and Form

Volume 1, Issue 1, 2020, Pages 41 - 43

Allometric Laws in Modular Dynamics: The Bauplan of Ontogenesis

Authors
Peter L. Antonelli1, Solange F. Rutz2, *
1Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
2Department of Mathematics, Federal University of Pernambuco, Recife, Brazil
*Corresponding author. Email: solange.rutz@gmail.com
Corresponding Author
Solange F. Rutz
Received 19 September 2019, Accepted 4 November 2019, Available Online 2 March 2020.
DOI
https://doi.org/10.2991/gaf.k.200124.002How to use a DOI?
Abstract

In recent decades, a resurgence of allometry in ecology and its associated scaling laws has been observed, going under the name macroecology. It is reasonable to think that the plethora of current works on experimental physiology using allometry is a continuation of the tradition of searching for the “Holy Grail” or Bauplan, the foundation of organic form and metabolic function. The project our group focused on over several decades is the development of a corpus of geometric techniques, especially Finsler differential geometry, for the study of systems of second order ordinary differential equations called Analytical Modular Dynamics, which seeks to describe interactions between cell populations of various organs. Thus, the Huxley/Needham Law in allometry becomes a consequence of metabolism and physiological interactions. The models obtained contrast strongly with Riemannian theory. The geodesic coefficients for our example depend only on the x-variables, as in all Riemannian geometries, but, is true in Finsler theory only for Berwald spaces.

Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Growth and Form
Volume-Issue
1 - 1
Pages
41 - 43
Publication Date
2020/03/02
ISSN (Online)
2589-8426
DOI
https://doi.org/10.2991/gaf.k.200124.002How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Peter L. Antonelli
AU  - Solange F. Rutz
PY  - 2020
DA  - 2020/03/02
TI  - Allometric Laws in Modular Dynamics: The Bauplan of Ontogenesis
JO  - Growth and Form
SP  - 41
EP  - 43
VL  - 1
IS  - 1
SN  - 2589-8426
UR  - https://doi.org/10.2991/gaf.k.200124.002
DO  - https://doi.org/10.2991/gaf.k.200124.002
ID  - Antonelli2020
ER  -