Description
This monograph focuses on the ambitious aim of developing a mathematical theory of complex biological systems with special attention on the phenomena of ageing, degeneration, and repair of biological tissues under individual self-repair actions that may also take advantage of medical actions and therapies. The immune system plays an essential role in the competition against pathologies. Of course, the authors do not naively claim that such objective is effectively achieved. Simply some perspective ideas, and some preliminary steps, are brought to the attention of applied mathematicians.
The approach to the mathematical modeling of biological systems needs to tackle the additional difficulty generated by the peculiarity features of living matter.
For instance the lack of invariance principles which are typical of systems pertaining to inert matter, the ability to express a strategy for individual wellbeing, heterogeneous behaviors, competition, proliferative and/or destructive actions, learning ability, evolution, and many others.
The presentation is organized in three parts with ten chapters, which have the aim of addressing applied mathematicians to research activity in the field of modeling complex biological systems viewed as living, and hence biological systems: