A nonperturbative analytical solution of immune response with time-delays and possible generalization

✍ Scribed by G. Adomian; Y. Cherruault; K. Abbaoui

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 465 KB
• Volume: 24
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(96)00167-7

✦ Synopsis

Mathematical models of the dynamic interaction of immune response with a population of bacteria, viruses, antigens, or tumor cells have been modelled ss systems of nonlinear differential equations or delay-differential equations. Such models can be solved analytically without resorting to linearization, perturbation, discretization, or restrictions on stochasticity, such as Wiener processes or closure approximations, which change the problem supposedly being solved so the solution is not necessarily physically realistic. With the availability of an analytical solution method with the potential to solve more general models, more attention can be devoted to modelling which may more fully represent the complexity of the interactions involved. Keywords-Decomposition method, Differential equations with delays, Immune response. 'Remaining at zero for very low T, then rising to a saturation level. **Rising to a peak, then decreasing.