Mathematical model of antiviral immune response regulation. II. Mathematical formalization of the modelled processes. Imitation of acute course of hepatitis B.
The mathematical formalization of the conceptual model for antiviral immune response regulation described in the preceding report was carried out. The mathematical model is presented as a system of 30 ordinary nonlinear differential equations with delays. The algorithm for numerical integration of the mathematical model is based on Gear's methods of variable step and variable order. Initial conditions and parameters, as well as intervals of plausible values for them, were chosen for adaptation of the model for description of acute hepatitis B.
Chuykov
V V
VV
All-Union Research Institute of Molecular Biology, Novosibirsk Region.
Bazhan
S I
SI
Kulichkov
V A
VA
D000208:Acute Disease; D006509:Hepatitis B / Q000276:immunology*; D006510:Hepatitis B Antibodies / Q000096:biosynthesis; D006515:Hepatitis B virus / Q000276:immunology; D006801:Humans; D007375:Interleukin-1 / Q000096:biosynthesis; D007376:Interleukin-2 / Q000096:biosynthesis; D015847:Interleukin-4 / Q000096:biosynthesis; D007694:Killer Cells, Natural / Q000276:immunology; D008262:Macrophage Activation; D008954:Models, Biological; D016176:T-Lymphocyte Subsets / Q000276:immunology*; D006377:T-Lymphocytes, Helper-Inducer / Q000276:immunology*
D006510:Hepatitis B Antibodies; D007375:Interleukin-1; D007376:Interleukin-2; D015847:Interleukin-4