Compartmental control model of the immune process

A nonlinear model of the humoral immune process is derived with critical organs, such as spleen and lymph represented by compartments. B cells, T cells, macrophages and their progeny represent the mechanism for generating antibodies which in turn control antigen (alien material). The model is synthesized as a combination of bilinear subsystems. Simulation of the model is compared with experimental results.

[1]  R R Mohler,et al.  Necessary and sufficient conditions in the tracer determination of compartmental system order. , 1976, Journal of theoretical biology.

[2]  J S Hege,et al.  A mathematical model relating circulating antibody and antibody forming cells. , 1966, Journal of immunology.

[3]  K. Lindahl-Kiessling,et al.  Morphological and Functional Aspects of Immunity , 1971, Advances in Experimental Medicine and Biology.

[4]  C. Janeway,et al.  Progress in immunology. Syndromes of diminished resistance to infection. , 1968, The Journal of pediatrics.

[5]  Alan S. Perelson,et al.  The IgM-IgG switch looked at from a control theoretic viewpoint , 1978 .

[6]  J. Uhr,et al.  A Model for the Regulation of Antibody Synthesis by Serum Antibody , 1971 .

[7]  Ronald R. Mohler,et al.  Natural Bilinear Control Processes , 1970, IEEE Trans. Syst. Sci. Cybern..

[8]  A. Ruberti,et al.  Variable Structure Systems with Application to Economics and Biology , 1975 .

[9]  B. Hammond,et al.  A COMPARTMENTAL ANALYSIS OF CIRCULATORY LYMPHOCYTES IN THE SPLEEN , 1975, Cell and tissue kinetics.

[10]  Ronald R. Mohler,et al.  System Theoretic Control in Immunology , 1975, Optimization Techniques.

[11]  G. I. Bell,et al.  Model for the binding of multivalent antigen to cells , 1974, Nature.

[12]  G. I. Bell,et al.  Mathematical model of clonal selection and antibody production. III. The cellular basis of immunological paralysis. , 1971, Journal of theoretical biology.

[13]  G. I. Bell,et al.  Mathematical model of clonal selection and antibody production. , 1970, Journal of theoretical biology.

[14]  R. Mohler,et al.  Biological modeling with variable compartmental structure , 1974 .

[15]  F. L. Adler.  STUDIES ON MOUSE ANTIBODIES. II. MERCAPTOETHANOL-SENSITIVE 7 S ANTIBODIES IN MOUSE ANTISERA TO PROTEIN ANTIGENS. , 1965, Journal of immunology.

[16]  Alfredo Germani,et al.  Optimal derivation of antibody distribution in the immune response from noisy data , 1978 .

[17]  M. Jílek,et al.  Modelling of the Immune Processes , 1971 .