ISSN: 2577-4328
Authors: Lai RW* and Lai-Becker MW
Analyses of toxicokinetic and pharmacokinetic are demonstrated using the ACP (asymptotic curve based and proportionality oriented) Alpha Beta (αβ) Nonlinear Math. In the new nonlinear concepts, various skewed-bell elementary “y” data are collected, followed by analyzing the asymptotic cumulative Y curves. In using the concise data, the asymptotic cumulativenumbers are emphasized and shun the use of unrelated elementary-numbers. The kinetic results are expressed as equations and straight lines in the proportionality graphs, where the change of the response β (Y, Yu, Yb) is proportional to the change of the time or dose α(X, Xu, Xb) and assuming the mathematical form dα = Kdβ. The K is the proportionality constant or the kinetic constant. The baseline asymptote Yb is mostly a nonlinear zero thus no need of calculation, but the upper asymptote Yu can be resolved through guided estimation using the coefficient of determination (COD) and graphical resolution.
Keywords: Asymptotic Concave and Convex Curve; Upper and Baseline Asymptote; Demulative Numbers (Opposite to Cumulative Numbers); Coefficient of Determination (COD); Proportionality and Position Constant; Skewed Bell; Sigmoid Curve; Symbols: q = Log (Nonlinear Logarithmic); αβ (Extension of XY); ϕ = (0) (Nonlinear Zero); x = Elementary Independent Variable; y or (y) = Elementary Dependent Variable or y = Equation y (inside the graph); X = Cumulative of x, Y = Cumulative of y or (y).
