A SIMPLE IDIOTYPIC NETWORK MODEL WITH COMPLEX DYNAMICS

摘要: According to the network theory of immune response, various B and T lymphocyte clones that comprise system respond antigen in a coordinated way due idiotypic interactions. Many models interactions have ignored fact cells communicate by secreting soluble molecules, chemical reactions between these molecules cell surface receptors control key features response. Here we develop analyze set simple which are distinguished, incorporate realistic among cellular molecular species. Our first, most complete model involves eleven ordinary differential equations. Using two time scale analysis find on long come equilibrium, need only consider six equations with algebraic constraints. We then show reduced four equation captures dynamic full model. numerical bifurcation techniques study steady state behavior for range parameter values. exhibit multiple states, limit cycle oscillations chaotic behavior. Comparison experimental data collected vivo dynamical characteristic certain phenomena.