Bistability and bacterial infections

PLoS ONE

Volumn 5, Issue 5, 2010, Pages

  Malka, Roy ^a   Shochat, Eliezer ^b   Rom Kedar, Vered ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b Pharma Research and Early Development   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BACTERIAL INFECTION; BACTERICIDAL ACTIVITY; HOST RESISTANCE; IMMUNE SYSTEM; INFECTION RISK; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NEUTROPENIA; NEUTROPHIL COUNT; PHAGOCYTE; POPULATION DYNAMICS; STAPHYLOCOCCUS EPIDERMIDIS;

BACTERIA; BACTERIAL INFECTIONS; HUMANS; MODELS, IMMUNOLOGICAL; NEUTROPHILS;

BACTERIA (MICROORGANISMS); STAPHYLOCOCCUS EPIDERMIDIS;

EID: 77956407854     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0010010     Document Type: Article

References (43)

1. Feigin RD, Cherry JD (1987) Textbook of Pediatric Infectious Diseases. Saunders Company, 2ed edition.
2. Rahman Z, Esparza-Guerra L, Yap HY, Fraschini G, Bodey G, et al. (1997) Chemotherapy-induced neutropenia and fever in patients with metastatic breast carcinoma receiving salvage chemotherapy. Cancer 79: 1150-1157.
3. Bodey GP, Buckley M, Sathe YS, Freireich EJ (1966) Quantitative relationships between circulating leukocytes and infection in pationts with acute leukemia. Annals of Internal Medicine 64: 328-340.
4. Wolach B, Gavrieli R, de Boer M, Gottesman G, Ben-Ari J, et al. (2008) Chronic granulomatous disease in israel: clinical, functional and molecular studies of 38 patients. Clinical Immunology 129: 103-114.
5. van den Berg JM, van Koppen E, Ahlin A, Belohradsky BH, Bernatowska E, et al. (2009) Chronic granulomatous disease: The european experience. PLoS ONE 4: e5234.
6. Roos D, Law ASK (2001) Hematologically important mutations: Leukocyte adhesion deficiency. Blood Cells, Molecules, and Diseases 27: 1000-1004.
7. Nathan C (2006) Neutrophils and immunity: challenges and opportunities. Nature Reviews Immunology 6: 173-182.
8. Clawson CC, Repine JE (1976) Quantitation of maximal bactericidal capability in human neutrophils. Journal of Laboratory and Clinical Medicine 88: 316-327.
9. Leijh PCJ, van den Barselaar MT, van Zwet TL, Dubbeldeman-Rempt I, van Furth R (1979) Kinetics of phagocytosis of Staphylococcus aureus and Escherichia coli by human granulocytes. Immunology 37: 453-465.
10. Hammer MC, Baltch AL, Sutphen NT, Smith RP, Conroy JV (1981) Pseudomonas aeruginosa: quantitation of maximum phagocytic and bactericidal capabilities of normal human granulocytes. Journal of Laboratory and Clinical Medicine 98: 938-948.
11. Li Y, Karlin A, Loike DJ, Silverstein CS (2002) A critical concenration of neutrophils is required for effective bacterial killing in suspension. PNAS 99: 8289-8294.
12. Li Y, Karlin A, Loike DJ, Silverstein CS (2004) Determination of the critical concentration of neutrophils required to block bacterial growth in tissues. Journal of Experimental Medicine 100: 613-622.
13. Nowak MA, May RM (2000) Virus Dynamics. Oxford University Press.
14. Asachenkov A, Marchuk GI, Mohler R, Zuev S (1993) Disease Dynamics. Birkhauser.
15. Marchuk GI (1983) Mathematical Models in Immunology. Optimization Software.
16. Murray JD (2002) Mathematical Biology, volume I. Springer, 3rd edition.
17. Ludwig D, Jones DD, Holling CS (1978) Qualitative analysis of insect outbreak systems: The spruce budworm and forest. Journal of Animal Ecology 47: 315-332.
18. Strogatz SH (1994) Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering. Westview Press.
19. Pomerening JR, Sontag ED, Ferrell JE (2003) Building a cell cycle oscillator: hysteresis and bistability in the activation of cdc2. Nature Cell Biology 5: 346-351.
20. Angeli D, Ferrell JE, Sontag ED (2004) Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems. PNAS 101: 1822-1827.
21. Craciun G, Tang Y, Feinberg M (2006) Understanding bistability in complex enzyme-driven reaction networks. PNAS 103: 8697-8702.
22. Kumar R, Clermont G, Vodovotz Y, Chow CC (2004) The dynamics of acute inflammation. Journal of Theoretical Biology 230: 145-155.
23. Chow CC, Clermont G, Kumar R, Lagoa C, Tawadrous Z, et al. (2005) The acute inflammatory response in diverse shock states. Shock 24: 74-84.
24. Reynolds A, Rubin J, Clermont G, Day J, Vodovotz Y, et al. (2006) A reduced mathematical model of acute inflammation response: I. derivation of model and analysis of anti-inflamation. Journal of Theoretical Biology 242: 220-236.
25. Day J, Rubin J, Vodovotz Y, Chow CC, Rynolds A, et al. (2006) A reduced mathematical model of acute inflammation response ii. capturing scenarios of repeated endotoxin administration. Journal of Theoretical Biology 242: 237-256.
26. Herald MC (2009) General model of inflammation. Bulletin of Mathematical Biology.
27. Pugliese A, Gandolfi A (2008) A simple model of pathogen dynamics including specific and non-specific immunity. Mathematical Bioscience 214: 73-80.
28. Imran M, Smith H (2007) The dynamics of bacterial infection, innate immune response, and antibiotic treatment. Discrete and Continuous Dynamical Systems, Series B 8: 127-143.
29. Detilleux JC, F V, C B (2006) Mathematical model of the acute inflammatory response to escherichia coli in intrammary chanllenge. Journal of Dairy Science 89: 3455-3465.
30. Capo C, Bongrand P, Benoliel AM, Depieds R (1974) Phagocytosis. Journal of Theoretical Biology 47: 177-188.
31. Bongrand P, Capo C, Benoliel AM, Depieds R (1976) Specialization in phagocytosis. Journal of Theoretical Biology 57: 197-205.
32. Hamers MN, Bot AAM, Weening RS, Sips HJ, Roos D (1984) Kinetics and mechanism of the bactericidal action in human neutrophils against Escherichia Coli. Blood 64: 635-641.
33. Detilleux JC (2004) Neutrophils in the war against staphylococcus aureus: Predator-prey models to the rescue. Journal of Dairy Science 87: 3716-3724.
34. Popper KR (1959) The logic of scientific discovery. Basic Books, New York.
35. Nåsell I (2001) Extinction and quasi-stationarity in the verhulst logistic model. Journal of Theoretical Biology 211: 11-27.
36. Zwietering MH, Jongenburger I, Rombouts FM, VAN 'T Riet K (1990) Modeling of the bacterial growth curve. Application of Environmental Microbiology 56: 1875-1881.
37. Skalski GT, Gilliam JF (2001) Functional responses with predator interference: Viable alternatives to the holling type ii model. Ecology 82: 3083-3092.
38. Huisman G, De Boer RJ (1997) A formal derivation of the beddington functional response. Journal of Theoretical Biology 185: 389-400.
39. Green JN, Winterbourn CC, Hampton MB Neutrophil Methods and Protocols, Humana Press Inc, volume 412 of Methods in Molecular Biology, chapter 21. pp 319-332.
40. Spiers AS, Dias SF, Lopez JA (1980) Infection prevention in patients with cancer: microbiological evaluation of portable laminar air flow isolation, topical chlorhexidine, and oral non-absorbable antibiotics. Journal of Hygiene (London) 84: 457-465.
41. Shochat E, Rom-Kedar V (2008) Novel strategies for g-csf treatment of high-risk severe neutropenia suggested by mathematical modeling. Clinical Cancer Research 14: 6354-6363.
42. Gammack D, Doering CR, Kirschner DE (2004) Macrophage response to mycobacterium tuberculosis infection. Journal of Mathematical Biology 48: 218-248.
43. D'Agata EMC, Dupont-Rouzeyrol M, Magal P, Olivier D, Ruan S (2008) The impact of different antibiotic regimens on the emergence of antibiotic-resistant bacteria. PLoS One 3: e4306.