| Regional Biophysics Meeting 2005, March 16-20, Zreče, Slovenia | [ComputModel] |
In this study, numerical resolution of the non linear differential equation system governing the prion kinetic model proposed by Kellershon and Laurent, is made using the forth order Runge-Kutta method, which allow to follow according to the time, the evolution of the four variables ([PrPc], [PrPres], [PrPres]2, [(PrPc)(PrPres)2]) of the kinetic cycle, in ranges of well defined flow entry (production and infection) and kinetic constants. Parametric analysis shows that the variation in the initial concentrations of the four variables has not major influence on the final stationary state, even when the increase of the flow entry (Over expression and infection) induce the pathogenic state. The influence of kinetic constants (conversion of [PrPc], dissociation of [(PrPc)(PrPres)2], deterioration of [PrPc], association [(PrPc)(PrPres)2]), formation of [PrPres], formation of [PrPres]2 from [(PrPc)(PrPres)2]) do not show any implication in the disease apparition, when kinetic constants (aggregation of [PrPres], and formation of [PrPres]2 from [PrPres]) induce the pathogenic state. The results presented in this work have been computed by program executed with matlab 6.0.1. The calculated numerical values of the four variables are in the range of the actual data for hamster, showing that the linear combination of used parameters is significant.
Email: madani28@caramail.com
Address: Biophysics biomathematics Biochemistry and Scientometry laboratory. Faculté des Sciences de la Nature et de la Vie. Universite de Bejaia. 06000. Bejaia . Algeria.,