Rival approaches to mathematical modelling in immunology
Journal of Computational and Applied Mathematics
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Simplified and generalizable rules of immune responses against infections or vaccines have been summarized into 20 statements previously (Scand. J. Immunol. 60 (2004) 9-13) and are restated in a slightly different form here. The key terms of immunology (e.g. specificity, tolerance and memory) are explained in terms of their co-evolutionary importance in the equilibrium between infectious agents and diseases with higher vertebrate hosts. Specificity is best defined by protective antibodies or protective activated T cells; e.g. serotype specific neutralizing antibodies against polio viruses represent the discriminatory power of an immune response very well indeed. Tolerance is reviewed in terms of reactivity rather than self-nonself discrimination. Immune respones are deleted against antigens expressed at sufficient levels within the lymphoheamopoetic system, but may well exist at both, the T and the B cell level against antigens strictly outside of secondary lymphatic organs. In this respect the immune system behaves identically against virus infections and against self antigens. Persistent virus infections delete responsive T cells, once eliminated immune T cell responses wane, if a virus keeps outside of secondary lymphatic tissues no immune response is induced. Immunological memory is usually defined as earlier and greater responses but this does not correlate with protective immunity stringently. It is summarized here that pre-existing titers of protective neutralizing antibodies or pre-existence of activated T cells are the correlates of protection acute cytopathic lethal infections and toxins or against intracellular parasites. It is concluded that many discrepancies and uncertainties in immunological research derive from model situations and experimental results that are correctly measured but cannot be related to co-evolutionary contexts, i.e. survival.