Linearization of Growth Curve, Denition Series and Metabolic Curve

概要

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A fundamental biological process X(t|θ) is characterized by the evidence that the among-person variability of a systemic parameter θ is small. We came across this view during the study of the individual variability of drug-induced sufferings. This enables us the linearization of a fundamental biological process, assuming that one of unknown parameters is independent of time t. Then we can derive two practicable fundamental formulas, which hold not only for the growth of stature, but also for the dentition of deciduous tooth and for the metabolism of alcohol. The first formula implies the existence of a fixed point on the process. When X is derivable with respect to t, we can introduce the notion of the proper time τ, in place of the chronological time t. Then the individualized velocity dX/dτ is independent of the individuality. The idea is slightly generalized to obtain the almost-one parameter hypothesis, which is applied to the growth curve in the childhood and to the two-compartment model of the drug metabolism.
日本人類学会の論文
1993-00-00