PHENOTYPIC DEFORMATION: THE ROLE
OF ALLOMETRY AND THE GOLDEN RATIO
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.
AMS Subject Classification: 92C30, 53A20, 47D07, 35K40


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DOI: 10.12732/ijam.v29i4.6

Volume: 29
Issue: 4
Year: 2016