Non-linear dynamics of the complement system activation

Mathematical Biosciences

Volumn 222, Issue 2, 2009, Pages 127-143

  Korotaevskiy, Andrey A ^a   Hanin, Leonid G ^b   Khanin, Mikhail A ^a  

^a CENTER FOR THEORETICAL PROBLEMS OF PHYSICOCHEMICAL PHARMACOLOGY   (Russian Federation)

^b Nucl Eng Idaho State University   (United States)

Author keywords

Activation dynamics; Complement system; Determination of kinetic constants; Mathematical model; Non linear effects; Optimization procedure

Indexed keywords

ACTIVATION DYNAMICS; COMPLEMENT SYSTEMS; DETERMINATION OF KINETIC CONSTANTS; KINETIC CONSTANT; NONLINEAR EFFECT; OPTIMIZATION PROCEDURES;

COMPUTER SIMULATION; CONSTRAINED OPTIMIZATION; DYNAMICS; PROTEINS; RATE CONSTANTS;

MATHEMATICAL MODELS;

CLASSICAL COMPLEMENT PATHWAY C3 C5 CONVERTASE; COMPLEMENT MEMBRANE ATTACK COMPLEX;

BIOCHEMISTRY; IMMUNE SYSTEM; INHIBITOR; NONLINEARITY; NUMERICAL MODEL; OPTIMIZATION; PATHOGEN; PROTEIN;

ARTICLE; BACTERIAL KINETICS; BACTERICIDAL ACTIVITY; BINDING COMPETITION; BORRELIA BURGDORFERI; CELL KILLING; COMPLEMENT ACTIVATION; COMPLEMENT ALTERNATIVE PATHWAY; COMPLEMENT CLASSICAL PATHWAY; COMPLEMENT INHIBITION; COMPLEX FORMATION; CONCENTRATION RESPONSE; CONTROLLED STUDY; MATHEMATICAL MODEL; MICHAELIS MENTEN KINETICS; NONLINEAR SYSTEM; PROCESS OPTIMIZATION; PROTEIN ANALYSIS;

ALGORITHMS; BORRELIA BURGDORFERI; COMPLEMENT ACTIVATION; COMPLEMENT MEMBRANE ATTACK COMPLEX; COMPLEMENT PATHWAY, ALTERNATIVE; COMPLEMENT PATHWAY, CLASSICAL; COMPLEMENT SYSTEM PROTEINS; COMPUTER SIMULATION; HUMANS; KINETICS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS;

BORRELIA BURGDORFERI;

EID: 70450224637     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2009.10.003     Document Type: Article

References (36)

1. Hirayama H., Yoshii K., Ojima H., Kawai N., Gotoh S., and Fukuyama Y. Linear systems analysis of activating processes of complement system as a defense mechanism. Biosystems 39 (1996) 173
2. Tyurin K.V., and Khanin M.A. Optimality of enzymatic physiological systems. Izv. Akad. Nauk. Ser. Biol. 6 (2000) 713 (in Russian)
3. Tyurin K.V., and Khanin M.A. Optimality principle and determination of kinetic constants for biochemical reactions. Math. Med. Biol. 22 (2005) 1
4. Tyurin K.V., and Khanin M.A. Hemostasis as an optimal system. Math. Biosci. 20 (2006) 167
5. Khanin M.A., Lobanov A.N., and Kaufmann S.H. Apoptosis: an optimization approach. Comput. Biol. Med. 34 (2004) 449
6. Golovchenko E.N., Hanin L.G., Kaufmann S.H., Tyurin K.V., and Khanin M.A. Dynamics of granzyme B-induced apoptosis: mathematical modeling. Math. Biosci. 212 (2008) 54
7. van Dam A.P., Oei A., Jaspars R., Fijen C., Wilske B., Spanjaard L., and Dankert J. Complement-mediated serum sensitivity among spirochetes that cause Lyme disease. Infect. Immun. 65 (1997) 1228
8. Kochi S.K., and Johnson R.C. Role of immunoglobulin G in killing of Borrelia burgdorferi by the classical complement pathway. Infect. Immun. 56 (1988) 314
9. Kochi S.K., Johnson R.C., and Dalmasso A.P. Facilitation of complement-dependent killing of the Lyme disease spirochete, Borrelia burgdorferi, by specific immunoglobulin G Fab antibody fragments. Infect. Immun. 61 (1993) 2532
10. Taylor P.W. Bactericidal and bacteriolytic activity of serum against Gram-negative bacteria. Microbiol. Rev. 47 (1983) 46
11. Pangburn M.K., Schreiber R.D., and Muller-Eberhard H.J. Formation of the initial C3 convertase of the alternative complement pathway. Acquisition of C3b-like activities by spontaneous hydrolysis of the putative thioester in native C3. J. Exp. Med. 154 (1981) 856
12. Favoreel H.W., Van de Walle G.R., Nauwynck H.J., and Pensaert M.B. Virus complement evasion strategies. J. Gen. Virol. 84 (2003) 1
13. Morgan B.P. The complement system: an overview. Methods Mol. Biol. 150 (2000) 1
14. Bhakdi S., and Tranum-Jensen J. Terminal membrane C5b-9 complex of human complement: transition from an amphiphilic to a hydrophilic state through binding of the S protein from serum. J. Cell Biol. 94 (1982) 755
15. Zipfel P.F. Complement: Alternative Pathway, Encyclopedia of Life Sciences (2001), John Wiley & Sons, Inc., NY pp. 1-8
16. Schreiber R.D., Morrison D.C., Podack E.R., and Muller-Eberhard H.J. Bactericidal activity of the alternative complement pathway generated from 11 isolated plasma proteins. J. Exp. Med. 149 (1979) 870
17. Rasmussen J.M. Inherited deficiencies of complement proteins with special reference to congenital deficiency of the regulatory protein factor I. APMIS Suppl. 22 (1991) 1
18. Fujita T., and Nussenzweig V. The role of C4-binding protein and beta 1H in proteolysis of C4b and C3b. J. Exp. Med. 150 (1979) 267
19. Conlan M.G., Tomasini B.R., Schultz R.L., and Mosher D.F. Plasma vitronectin polymorphism in normal subjects and patients with disseminated intravascular coagulation. Blood 72 (1988) 185
20. Murphy B.F., Kirszbaum L., Walker I.D., and d'Apice A.J. SP-40,40, a newly identified normal human serum protein found in the SC5b-9 complex of complement and in the immune deposits in glomerulonephritis. J. Clin. Invest. 81 (1988) 1858
21. Kerr M.A. The human complement system: assembly of the classical pathway C3 convertase. Biochemistry 189 (1980) 173
22. Rawal N., and Pangburn M.K. Formation of high affinity C5 convertase of the classical pathway of complement. J. Biol. Chem. 278 (2003) 38476
23. Conan K.N., and Levine R.P. Rate processes in the final stage of complement hemolysis. Immunochemistry 14 (1977) 421
24. Podack E.R., Biesecker G., Kolb W.P., and Muller-Eberhard H.J. The C5b-6 complex: reaction with C7, C8, C9. J. Immunol. 121 (1978) 484
25. Fishelson Z., Pangburn M.K., and Muller-Eberhard H.J. C3 convertase of the alternative complement pathway. J. Biol. Chem. 273 (1998) 16828
26. Pangburn M.K., and Muller-Eberhard H.J. The C3 convertase of the alternative pathway of human complement. Enzymic properties of the bimolecular proteinase. Biochem. J. 235 (1986) 723
27. Hourcade D.E. The role of properdin in the assembly of the alternative pathway C3 convertases of complement. J. Biol. Chem. 281 (2006) 2128
28. Fries L.F., Gaither T.A., Hammer C.H., and Frank M.M. C3b covalently bound to IgG demonstrates a reduced rate of inactivation by factors H and I. J. Exp. Med. 160 (1984) 1640
29. Lennick M., Brew S.A., and Ingham K.C. Kinetics of interaction of C1 inhibitor with complement C1s. Biochemistry 25 (1986) 3890
30. McDonald J.F., and Nelsestuen G.L. Potent inhibition of terminal complement assembly by clusterin: characterization of its impact on C9 polymerization. Biochemistry 36 (1997) 7464
31. Fujita T., and Tamura N. Interaction of C4-binding protein with cell-bound C4b. A quantitative analysis of binding and the role of C4-binding protein in proteolysis of cell-bound C4b. J. Exp. Med. 157 (1983) 1239
32. Ziccardi R.J., Dahlbacki B., and Muller-Eberhard H.J. Characterization of the interaction of human C4b-binding protein with physiological ligands. J. Biol. Chem. 259 (1984) 13674
33. Ziccardi R. Activation of the early components of the classical complement pathway under physiologic conditions. J. Immunol. 126 (1981) 1769
34. Cooper N.R. Enzymatic activity of the second component of complement. Biochemistry 14 (1975) 4245
35. Rawal N., and Pangburn M. Formation of high-affinity C5 convertases of the alternative pathway of complement. J. Immunol. 166 (2001) 2635
36. Caporale L.H., Gaber S.S., Kell W., and Götze O. A fluorescent assay for complement activation. J. Immunol. 126 (1981) 1963