A LOCAL-FIELD-TYPE MODEL FOR IMMUNOLOGICAL SYSTEMS - TIME EVOLUTION IN REAL AND SHAPE SPACES

We introduce a new model for the interaction of immunological cells th at takes into account their location in real space. Each one of the mo del cells mimics the real B cells in the sense that they detect antige ns and they are also capable of reproducing themselves. We perform com puter simulations for the simplest cases. The main differences between the results obtained within this model and those obtained through the usual models, which do not consider a real space, concern the final s tationary states. In mean field calculations not only the system as a whole but also each individual cell population reach an equilibrium st ate. In the present approach the entire system reaches a stationary st ate, but the individual populations present strong fluctuations, at le ast for the explored range of parameters. We exhibit that, in spite of the simplicity of the present model, interesting real-space effects c an take place.