PHENOTYPIC DEFORMATION: THE ROLE
OF ALLOMETRY AND THE GOLDEN RATIO
Peter L. Antonelli1, C.G. Leandro2, Solange F. Rutz3 1U. Alberta, AB, CANADA
presently at DMAT-UFPE
Av. Prof. Moraes Rego, 1235 - Cidade Universitaria
Recife - PE - CEP: 50670-901, BRAZIL 2Federal University of Pernambuco (UFPE)
BRAZIL 3DMAT-UFPE, Av. Prof. Moraes Rego
1235 - Cidade Universitaria
Recife - PE - CEP: 50670-901, BRAZIL
Abstract. Following the Antonelli/Rutz Finsler Gate method, the concept of Allometric Strain is introduced to model plastic deformation of phenotypes in mammalian genomes. Focus is on a model of muscle and adipose (fat) cell populations, which produce hormones adiponectin and IL- 6, which mediate their interactions. The model shows that genetic switching is able to irreversibly deform a normal system to one not producing IL- 6, which nevertheless remains conservative in production and linearly stable in population densities. It is further proved that both systems are heterochronic changes of the standard Euclidean Huxley-Needham Allometric law, resulting in deformed growth curves. The relevance to obesity and Type 2 diabetes is discussed.