Studies on Kinetic Volume Model as a Whole Compartment of Water Absorbed into Swelled Materials and Analyses of the Parameters by Compartmental Theory
Fu-Yuan He, Zhou Hong-hao · Journal of Biomathematics · 2007
Object:to establish a new kinetic volume model as a whole compartment of wa- ter absorbed into materials and analyze it's kinetic parameters by compartmental theory.Meth- ods:The model has been set up by way of compartment and kinetic theories,and the solutions have obtained by laplace transform.The relations between the center and a whole compartment have been comparatively dealt with completely.Results:The volume of a whole compartment of water absorbed in swelled materials carry out the linear mammary model with one-order kinetic in accordance with the signal or center compartments,being as similar as the expressions and exponents,difference of coefficients before exponents,of which a whole compartment summed up the signal(center).the curve of V_T~∞,V_i~∞is obtained by parameter estimation of nonlinear curve. the kinetic parameters of which has been calculated out on of the expressions groups consisting ofα_i and the others regression parameters.Conclusion:The kinetic volume model as a whole compartment of water in swelled materials has been in accordance with linear mammary,with one-order kinetics,the parameters have obtained by the whole compartment model as same as by the center compartment.Under certainty conditions,the volume model of water absorbed in swelled materials has been transformed into pharmacokinetic models.