Immune network behavior. I: From stationary states to limit cycle oscillations. (English) Zbl 0797.92014
A model for the idiotypic interaction between two \(B\) cell clones which is an improved and more realistic version of earlier models is derived and analyzed. This model can be regarded as a system of eight differential equations with eight nondimensional parameters. To study the model, the authors first study two simpler models obtained by letting certain parameters approach zero or infinity. Also the symmetry features of the model are exploited. The properties of the steady states (equilibrium points) and the dynamic behavior of the simplified models are described.
Reviewer: J.Cronin (New Brunswick)
MSC:
| 92C30 | Physiology (general) |
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
| 34C30 | Manifolds of solutions of ODE (MSC2000) |
Keywords:
immune systems; stability; \(B\) cell clones; equilibrium points; idiotypic interaction; symmetry; steady statesReferences:
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