Abstract

The cellular device machine (CDM) is the computer implementation of a general mathematical modeling approach, called the nested automaton, suitable for large-scale simulations of complex systems. Due to this method, a large body of experimental data representing the structure and behavior of a complex system can be compressed to allow its description in terms of objects and communication between them. In its application, this object-oriented and event-driven description can be easily extended and modified to allow the mathematical analysis of fundamental system properties and system dysfunctions prior to experimental analysis. The present paper focuses on the immune system as an example to illustrate the capabilities of the nested automaton approach to (1) substantially reduce the complexity arising from the building structure of large and heterogeneous systems and (2) show the capacity of the CDM to exhibit and explain phenomena of self-organization in such systems. The latter is explicated in brief applications concerning the regulation of growth in the immune system and the pathogenesis of acquired immune deficiency syndrome (AIDS).

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