The humoral immune response to Haemophilus influenzae type b: A mathematical model based on T-zone and germinal center B-cell dynamics

Journal of Theoretical Biology

Volumn 194, Issue 3, 1998, Pages 341-381

  Rundell, A ^a,c   DeCarlo, R ^a   HogenEsch, H ^b   Doerschuk, P ^a  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

^c MIT LINCOLN LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMMUNOGLOBULIN G ANTIBODY; IMMUNOGLOBULIN M ANTIBODY;

ARTICLE; B LYMPHOCYTE; BACTERIAL GROWTH; BACTERIAL IMMUNITY; CELL DEATH; CELL DIFFERENTIATION; CELL MIGRATION; CELL PROLIFERATION; GERMINAL CENTER; HAEMOPHILUS INFLUENZAE; HUMORAL IMMUNITY; MATHEMATICAL MODEL; MEMORY CELL; NONHUMAN; PRIORITY JOURNAL; T LYMPHOCYTE;

BACTERIA (MICROORGANISMS); HAEMOPHILUS; HAEMOPHILUS INFLUENZAE; HAEMOPHILUS INFLUENZAE SEROTYPE B; NEGIBACTERIA;

EID: 0032494474     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1998.0751     Document Type: Article

References (50)

1. ADA, G. (1993). Vaccines. In: Fundamental Immunology (Paul, W., ed.) 3rd Edn. New York: Raven Press.
2. AMIR, J., SCOTT, M., NAHM, M. & GRANOFF, D. (1990). Bactericidal and opsonic activity of IgG1 and IgG2 anticapsular antibodies to Haemophilus influenzae Type b. J. Infect. Dis. 162, 163-171.
3. ASACHENKOV, A., MARCHUK, G., MOHLER, R. & ZUEV, S. (1994a). Disease Dynamics. Boston: Birkhauser.
4. ASACHENKOV, A., MARCHUK, G., MOHLER, R. & ZUEV, S. (1994b). Immunology and disease control: a systems approach. IEEE Trans. Biomed. Eng. 41(10), 943-953.
5. BARINGTON, T., HOUGS, L., JUUL, L., MADSEN, H., RYDER, L., HEILMANN, C. & SVEJGAARD, A. (1996). The progeny of a single virgin B cell predominates the human recall B cell response to the capsular polysaccharide of Haemophilus influenzae type b. J. Immunol. 4016-4027.
6. BELL, G. (1973). Predator-Prey equations simulating an immune response. Math. Biosci. 16, 291-314.
7. BOCHAROV, G. & ROMANYUKA, A. (1994). Mathematical model of antiviral immune response. III. Influenza A virus infection. J. theor. Biol. 167, 323-360.
8. GEARHART, P. (1993). Somatic mutation and affinity maturation. In: Fundamental Immunology (Paul, W., ed.) 3rd Edn. New York: Raven Press.
9. GRAY, D. & SKARVALL, H. (1988). B-cell memory is short-lived in the absence of antigen. Nature 336, 70-73.
10. GREENBERG, D., LIEBERMAN, J., MARCY, M., WONG, V., PARTRIDGE, S., CHANGE, S., CHIU, C. & WARD, J. (1995). Enhanced antibody responses in infants given different sequences of heterogeneous Haemophilus influenzae type b conjugate vaccines. J. Pediatrics 126(2), 206-211.
11. GRISWOLD, W., LUCAS, A., BASTIAN, J. & GARCIA, G. (1989). Functional affinity of antibody to the Haemophilus influenzae type b polysaccharide. J. Infect. Dis. 159(6), 1083-1087.
12. HEINEN, E., BOSSELOIR, A. & BOUZAHZAH, F. (1995). Follicular dendritic cells: origin and function. In: An Antigen Depository of the Immune System: Follicular Dendritic Cells, Current Topics in Microbiology and Immunology, Vol. 201, pp. 15-47. New York: Springer.
13. HOLMSKOV, U., MALHOTRA, R., SIM, R. & JENSENIUS, J. (1994). Collectins: collagenous C-type lectins of the innate immune defense system. Immunol. Today 15(2), 67-74.
14. JACOB, J., KASSIR, R. & KELSOE, G. (1991). In situ studies of the primary immune response to (4-hydroxy-3-nitrophenyl)acetyl. I. The architecture and dynamics of responding cell populations. J. Exp. Med. 173, 1165-1175.
15. JACOB, J. & KELSOE, G. (1992). In situ studies of the primary immune response to (4-hydroxy-3-nitrophenyl)acetyl. II. A common clonal origin for periarteriolar lymphoid sheath-associated foci and germinal centers. J. Exp. Med. 176, 679-687.
16. JACOB, J., PRZYLEPA, J., MILLER, C. & KELSOE, G. (1993). In situ studies of the primary immune response to (4-hydroxy-3-nitrophenyl)acetyl. III. The kinetics of V region mutation and selection in germinal center B cells. J. Exp. Med. 178, 1293-1307.
17. KELSOE, G. (1995). In situ studies of the germinal center reaction. Adv. Immunol. 60, 267-288.
18. KEPLER, T. & PERELSON, A. (1993a). Cyclic re-entry of germinal center B cells and the efficiency of affinity maturation. Immunol. Today 14(8), 412-415.
19. KEPLER, T. & PERELSON, A. (1993b). Somatic hypermutation in B cells: an optimal control treatment. J. theor. Biol. 164, 37-64.
20. KEPLER, T. & PERELSON, A. (1995). Modeling and optimization of populations subject to time-dependent mutation. Proc. Natl. Acad. Sci. U.S.A. 92, 8219-8223.
21. KINCADE, P. & GIMBLE J. (1993). B lymphocytes. In: Fundamental Immunology (Paul, W., ed.) 3rd Edn. New York: Raven Press.
22. KOSCO, M., BURTON, G., KAPASI, A., SZAKAL, A. & TEW, J. (1989). Antibody-forming cell induction during an early phase of germinal centre development and its delay with ageing. Immunology 68, 312-318.
23. KOSCO-VILBOIS, M. & SCHEIDEGGER, D. (1995). Follicular dendritic cells: antigen retention, B cell activation, and cytokine production. In: An Antigen Depository of the Immune System: Follicular Dendritic Cells, Current Topics in Microbiology and Immunology, Vol. 201, pp. 69-82. New York: Springer.
24. KOSCO-VILBOIS, M., ZENTGRAF, H., GERDES, J. & BONNEFOY, J. (1997). To 'B' or not to 'B' a germinal center? Immunol. Today 18(5), 225-230.
25. LANGORD, P. & MOXON, E. (1991). Growth of Haemophilus influenzae type b in the presence of bovine aortal endothelial cells. J. Gen. Microbiol. 137, 1577-1581.
26. LEANDERSON, T., KALLABERG, E. & GRAY, D. (1992). Expansion, selection and mutation of antigen-specific B cells in germinal centers. Immunol. Rev. 126, 47-61.
27. LIU, Y., ARPIN, C., BOUTEILLER, O., GURET, C., BANCHEREAU, J., MARTINEZ-VALDEZ, H. & LEBECQUE, S. (1996). Sequential triggering of apoptosis, somatic mutation and isotype switch during germinated center development. Semin. Immunol. 8, 169-177.
28. LIU, Y., JOHNSON, G., GORDON, J. & MACLENNAN, C. (1992). Germinal centres in T-cell-dependent antibody responses. Immunol. Today 13(1), 17-21.
29. LIU, Y., ZHANG, J., LANE, P., CHAN, E. & MACLENNAN, I. (1991). Sites of specific B cell activation in primary and secondary responses to T cell-dependent and T cell-independent antigens. Europ. J. Immunol. 21, 2951-2962.
30. MACLENNAN, I., LIU, Y. & JOHNSON, G. (1992). Maturation and dispersal of B-cell clones during T cell-dependent antibody responses. Immunol. Rev. 126, 143-161.
31. MARCHUK, G., BELYKH, L. & ZUEV, S. (1987). Mathematical models in immunology. In: Recent Advances in Communication and Control Theory, pp. 462-474. New York: Optimization Software.
32. MARCHUK, G., PETROV, R., ROMANYUKA, A. & BOCHAROV, G. (1991a). Mathematical model of antiviral immune response. I. Data analysis, generalized picture construction and parameters evaluation for Hepatitis B. J. theor. Biol. 151, 1-40.
33. MARCHUK, G., PETROV, R., ROMANYUKA, A. & BOCHAROV, G. (1991b). Mathematical model of antiviral immune response. II. Parameters identification for acute viral Hepatitis B. J. theor. Biol. 151, 41-70.
34. MCHEYZER-WILLIAMS, M., MCLEAN, M., NOSSAL, G. & LALOR, P. (1992). The dynamics of T cell-dependent B cell responses in vivo. Immunol. Cell Biol. 70, 119-127.
35. MOHLER, R. (1973). The immune system. In: Bilinear Control Processes, pp. 18-30. New York: Academic Press.
36. MOHLER, R., LEE, K., AACHENKOV, A. & MARCHUK, G. (1994). A systems approach to immunology and cancer. IEEE Trans. Systems, Man, Cybernetics 24(4), 632-642.
37. MOXON, E. & MURPHY, P. (1978). Haemophilus influenzae bacteremia and meningitis resulting from survival of a single organism. Proc. Natl. Acad. Sci. U.S.A. 75(3), 1534-1536.
38. PERELSON, A., MIRMIRANI, M. & OSTER, G. (1976). Optimal strategies in immunology, I. B-cell differentiation and proliferation. J. Math. Biol. 3, 325-367.
39. PERELSON, A., MIRMIRANI, M. & OSTER, G. (1978). Optimal strategies in immunology, II. B memory cell production. J. Math. Biol. 5, 213-256.
40. PETRUCCI, R. (1985). General Chemistry Principles and Modern Applications, 4th Edn, p. 411. New York: Macmillan.
41. PICKER, L. & SIEGELMAN, M. (1993). Lymphoid tissues and organs. In: Fundamental Immunology (Paul, W., ed.) 3rd Edn. New York: Raven Press.
42. PRIKRYLOVA, D., JILEK, M. & WANIEWSKI, J. (1992). Mathematical Modeling of the Immune Response. Ann Arbor: CRC Press.
43. ROITT, I., BROSTOFF, J. & MALE, D. (1993). Immunology, 3rd Edn. Chicago: Mosby.
44. RUNDELL, A. (1997). Investigations in mathematical modeling and control of the immune system, PhD. Dissertation, Purdue University, West Lafayette, IN.
45. SANTOSHAM, M. & MOXON, R. (1977). Detection and quantitation of bacteremia in childhood. J. Pediatrics 91(5), 719-721.
46. SCHEIFELE, D., MEEKISON, W., GUASPARINI, R., ROBERTS, A., BARRETO, L., THIPPHAWONG, J. & WILTSEY, S. (1995). Evaluation of booster doses of Haemophilus influenzae type b-tetanus toxoid conjugate vaccine in 18-month-old children. Vaccine 13(1), 104-108.
47. SCHITTEK, B. & RAJEWSKY, K. (1990). Maintenance of B-cell memory by long-lived cells generated from proliferating precursors. Nature 346, 749-751.
48. SCHREIBER, J., BARRUS, V., CATES, K. & SIBER, G. (1986). Functional characterization of human IgG, IgM and IgA antibody directed to the capsule of Haemophilus influenzae type b. J. Infect. Dis. 153(1), 8-16.
49. SIMULINK (1997). Version 2.1. Natick, MA: The Math Works.
50. STEEL D. & WHITEHEAD, W. (1994). The major acute phase reactants: C-reactive protein, serum amyloid P component and serum amyloid A protein. Immunol. Today 15(2), 81-88.