Self-organization or disorder phenomena in biology

Abstract

I am going to show, that the blow-ups of solutions, that usually are treated as something "very bad", can in fact describe some self-organization phenomena, "positive" (like healing) or "negative" (like society polarization). Mathematically it is the theory of integro-differential equations (kinetic-type equations) that is applied to processes in Biology - e.g. swarm formation - [1, 2] or DNA denaturation - [3], Medicine - tendon healing process - [4]. The relationships with classical PDEs models are discussed - see [5, 6].