A new model for the immune clonal networks

This paper deals with a new model for clonal network dynamics. We describe in detail this model and derive special equations governing immune system dynamics based on the general gradient type principles that can be inherent to a wide class of real living objects. A special clonal network is modeled by two symmetric projector matrix variables simultaneously taking into account both asymmetry of the interaction to each other and adaptation states that can be realized owing to possible idiotypic clonal suppresions. We perform computer simulations of the model dynamics for some simple cases of relatively low dimension, paying special attention to the dynamics of amounts of activated receptor strings within clonal network. keywords: clonal dynamics, immune system, mathematical model, gradient dynamical system, Lyapunov function, computer simulation, complex system.