Stochastic ontogenetic growth model
Information Sciences Directorate, US Army Research Office - Research Triangle Park, NC 27709, USA
2 Physics Department, Renesselaer Polytechnique Institute - Troy, NY 12180, USA
Accepted: 8 January 2012
An ontogenetic growth model (OGM) for a thermodynamically closed system is generalized to satisfy both the first and second law of thermodynamics. The hypothesized stochastic ontogenetic growth model (SOGM) is shown to entail the interspecies allometry relation by explicitly averaging the basal metabolic rate and the total body mass over the steady-state probability density for the total body mass (TBM). This is the first derivation of the interspecies metabolic allometric relation from a dynamical model and the asymptotic steady-state distribution of the TBM is fit to data and shown to be inverse power law.
PACS: 87.15.A- – Theory, modeling, and computer simulation / 87.18.Vf – Systems biology / 87.10.Mn – Stochastic modeling
© EPLA, 2012