Mathematical model of the immune response
Dibrov, B.F.; Livshits, M.A.; Vol'kenshteĭn, M.V.
Biofizika 21(5): 905-909
1976
ISSN/ISBN: 0006-3029 PMID: 1088081 Document Number: 108747
A model of immune reaction is suggested, ahich takes into account the delay in the development of an immune response. The model depending on parameters values describes: an asymptotic decrease of antigene quantity, approach of its quantity towards constant value, periodic course of the illness, unlimited growth of the antigene quantity. It is shown that the course of the reaction essentially depends on the duration of delay. Parameters regions corresponding to different regimes are determined.
Document emailed within 1 workday
Related Documents
Sidorenko, G.I.; Fedoseeva, V.N.; Tveritinov, D.I.; Lysenko, A.S.; Aristovskaia, L.V. 1988: Use of a mathematical model for predicting chemical allergy based on indices of immune status Gigiena i Sanitariia 2: 22-25Mahanty, S.D.; Roemer, R.B. 1980: Thermal and circulatory response of tissue to localized pressure application: a mathematical model Archives of Physical Medicine and Rehabilitation 61(8): 335-340
Gotze, D. 1976: Serological characterization of ia immune response associated antigens of the h 2 k h 2 s and h 2 q haplotypes by anti sera produced against skin lymphocytes and lympho blasts strain distribution pattern of ia immune response associated antigens and their relationship to ir immune response genes Immunogenetics 3(2): 139-156
Klepper, L.I. 2000: The interactive determination of the mathematical model parameters for the planning of the radiation therapy of malignant tumors. 2. a method of adjusting the mathematical model parameters for calculating the tolerance doses and probabilities of the occurrence of radiation complications in body organs and tissues Meditsinskaia Tekhnika 5: 36-40
Taussig, M.J. 1976: A model for genetic control of the immune response Advances in Experimental Medicine and Biology 66: 551-553
Wagner, J.G.; Szpunar, G.J.; Ferry, J.J. 1984: Exact mathematical equivalence of the venous equilibration ("well-stirred") model, the sinusoidal perfusion ("parallel-tube") model, and a specific two-compartment open model Drug Metabolism and Disposition: the Biological Fate of Chemicals 12(4): 385-388
Nayar, E. 1979: Immune response of L. carinii infection in rodent model Indian Journal of Medical Research 69: 417-422
Thouvenin, M.; Candolfi, E.; Villard, O.; Kien, T. 1997: Exploration of immune response in a murine model of congenital toxoplasmosis Annales de Biologie Clinique 55(5): 460-464
Reipert, B.M.; Schwarz, H.P. 2002: What can we learn from the immune response to human factor VIIi in a mouse model of hemophilia A? Thrombosis and Haemostasis 88(2): 374-375
Moen, R.C.; Schears, G.J.; Hong, R. 1987: Modification of the sponge allograft model to study the immune response to bone marrow cells Bone Marrow Transplantation 1(4): 389-396
Vuk-Pavlović, Z.; Rohrbach, M.S. 1988: An in vitro model for the induction of angiotensin-converting enzyme in sarcoidosis: possible parallels to the immune response Clinical and Experimental Immunology 72(3): 499-504
Dushanov, A.D.; Petrov, R.V.; Khaitov, R.M. 1983: Genetics of the immune response of karakul sheep vaccinated with colibacillosis and salmonellosis vaccines. II. An analysis of the intensity of the immune response in 1st-generation hybrids Zhurnal Mikrobiologii Epidemiologii i Immunobiologii 10: 77-79
Gestal, J.; Oehling, A. 1974: The nervous system in the regulation of the immune response. III. The posterior hypothalamus and its vital importance in the immune response Allergologia et Immunopathologia 2(5): 307-320
Zola, H. 1974: Modulation of the immune response to transplantation antigens. III. Further studies on the effects of Freund's complete adjuvant on the immune response of mice to allogeneic tumour antigen Clinical and Experimental Immunology 16(3): 469-479
De Landazuri, M.O.; Herberman, R.B. 1972: Immune response to Gross virus-induced lymphoma. 3. Characteristics of the cellular immune response Journal of the National Cancer Institute 49(1): 147-154
Robinson, T.M.; Nelson, R.G.; Boyer, J.D. 2003: Parasitic infection and the polarized Th2 immune response can alter a vaccine-induced immune response Dna and Cell Biology 22(6): 421-430
Moss, N.M.; Gough, D.B.; Jordan, A.L.; Grbic, J.T.; Wood, J.J.; Rodrick, M.L.; Mannick, J.A. 1988: Temporal correlation of impaired immune response after thermal injury with susceptibility to infection in a murine model Surgery 104(5): 882-887
Morgan, E.L.; Weigle, W.O. 1981: Regulation of the immune response: III. The role of macrophages in the potentiation of the immune response by Fc fragments Journal of Immunology 126(4): 1302-1306
Moss, A.; Fryer, J.P.; Leventhal, J.R.; Simone, P.; Chen, S.; Reinsmoen, N.; Matas, A.J. 1994: Analysis of the human anti-pig cellular immune response using the Hu-scid mouse-porcine skin graft model Transplantation Proceedings 26(3): 1209
Naruishi, K.; Omori, K.; Maeda, H.; Sonoi, N.; Funakoshi, K.; Hirai, K.; Ishii, M.; Kubo, K.; Kobayashi, H.; Tomiyama, T.; Yamamoto, D.; Tanimoto, I.; Kunimatsu, K.; Takashiba, S. 2011: Immune responses to porphyromonas gingivalis infection suppress systemic inflammatory response in experimental murine model Journal of Biological Regulators and Homeostatic Agents 25(2): 195-202