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 pop- ulations, 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 fur- ther proved that both systems are heterochronic changes of the standard Eu- clidean Huxley-Needham Allometric law, resulting in deformed growth curves. The relevance to obesity and Type 2 diabetes is discussed. AMS Subject Classification: 92C30, 53A20, 47D07, 35K40

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