Mathematical model for G-CSF administration after chemotherapy

Journal of Theoretical Biology

Volumn 257, Issue 1, 2009, Pages 27-44

  Foley, Catherine ^a   Mackey, Michael C ^b  

^a MCGILL UNIVERSITY   (Canada)

^b Departments of Physiology   (Canada)

Author keywords

Alternative treatment; Filgrastim; Mathematical modeling; Pegfilgrastim

Indexed keywords

BLOOD; CHEMOTHERAPY; MEDICINE; NUMERICAL MODEL; PUBLIC HEALTH; RECOMBINATION;

ANTINEOPLASTIC AGENTS; DRUG ADMINISTRATION SCHEDULE; FILGRASTIM; HUMANS; LEUKOCYTE COUNT; MODELS, BIOLOGICAL; NEUTROPENIA; NEUTROPHILS;

EID: 59649100168     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.09.043     Document Type: Article

References (66)

1. Abkowitz J.L., Holly R.D., and Hammond W.P. Cyclic hematopoiesis in dogs: studies of erythroid burst forming cells confirm an early stem cell defect. Exp. Hematol. 16 (1988) 941-945
2. Angeli D., Ferrell J.E.J., and Sontag E.D. Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems. Proc. Natl. Acad. Sci. USA 101 (2004) 1822-1827
3. Bagowski C.P., and Ferrell J.E.J. Bistability in the jnk cascade. Curr. Biol. 11 (2001) 1176-1182
4. Bennett, C., Weeks, J., et al., M.S., 1999. Use of hematopoietic colony-stimulating factors: comparison of the 1994 and 1997 American Society of Clinical Oncology surveys regarding ASCO clinical practice guidelines. Health Services Research Committee of the American Society of Clinical Oncology. J. Clin. Oncol. 17, 3676-3681.
5. Bernard S., Belair J., and Mackey M. Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. J. Theor. Biol. 223 (2003) 283-298
6. Beuter A., Glass L., Mackey M., and Titcombe M. Nonlinear Dynamics in Physiology and Medicine (2003), Springer, Berlin
7. Beutler E., Lichtman M.A., Coller B.S., and Kipps T. Williams Hematology (1995), McGraw-Hill, New York
8. Bhalla U.S., Ram P.T., and Iyengar R. MAP kinase phosphatase as a locus of flexibility in a mitogen-activated protein kinase signaling network. Science 297 (2002) 1018-1023
9. Butler R., Waites T., Lamar R., Hainsworth J., Greco F., and Johnson D. Timing of G-CSF administration during intensive chemotherapy for breast cancer (abstract). Am. Soc. Clin. Oncol. 11 (1992) 1411
10. Chatta, G.S., P.T.A.R., Dale, D.C., 1994. Effects of in vivo recombinant methionyl human granulocyte colony-stimulating factor on the neutrophil response and peripheral blood colony forming cells in healthy young and elderly adult volunteers. Blood 84, 2923-2929.
11. Clark O., Lyman G., Castro A., Clark L., and Djulbegovic B. Colony-stimulating factors for chemotherapy-induced febrile neutropenia: a meta-analysis of randomized controlled trials. J. Clin. Oncol. 23 (2005) 4198-4214
12. Colijn C., and Mackey M. A mathematical model of hematopoiesis: II. Cyclical neutropenia. J. Theor. Biol. 237 (2005) 133-146
13. Colijn C., Foley C., and Mackey M. G-CSF treatment of canine cyclical neutropenia: a comprehensive mathematical model. Exp. Hematol. 35 (2007) 898-907
14. Cross F.R., Archambault V., Miller M., and Klovstad M. Testing a mathematical model of the yeast cell cycle. Mol. Biol. Cell. 13 (2002) 52-70
15. Dancey J.T., Deubelbeiss K.A., Harker L.A., and Finch C.A. Neutrophil kinetics in man. J. Clin. Invest. 58 (1976) 705-715
16. Drazin, P.G., 1992. Nonlinear Systems. Cambridge Texts in Applied Mathematics, University of Bristol.
17. Ferrell J.E. Self-perpetuating states in signal transduction: positive feedback, double-negative feedback, and bistability. Curr. Opin. Chem. Biol. 6 (2002) 140-148
18. Ferrell J.E.J., and Machleder E. The biochemical basis of an all-or-none cell fate switch in Xenopus oocytes. Science 280 (1998) 895-898
19. Foley C., and Mackey M.C. Dynamic hematological disease: a review. J. Math. Biol. 58 1-2 (2009) 285-322
20. Foley C., Bernard S., and Mackey M. Cost-effective G-CSF therapy strategies for cyclical neutropenia: mathematical modelling based hypotheses. J. Theor. Biol. 238 (2006) 754-763
21. Friberg L.E., Henningsson A., Maas H., Nguyen L., and Karlsson M.O. Model of chemotherapy-induced myelosuppression with parameter consistency across drugs. J. Clin. Oncol. 20 (2002) 4713-4721
22. Fukuda M., and Nakato M.A.K. Optimal timing of G-CSF administration in patients receiving chemotherapy for non-small cell lung cancer (NSCLC) (abstract). Am. Soc. Clin. Oncol. 12 (1993) 1549
23. Green M.D., Koelbl H., Baselga J., Galid A., Guillem V., Gascon P., Siena S., Lalisang R.I., Samonigg H., Clemens M.R., Zani V., Liang B.C., Renwick J., and Piccart M.J. A randomized double-blind multicenter phase III study of fixed-dose single-administration pegfilgrastim versus daily filgrastim in patients receiving myelosuppressive chemotherapy. Ann. Oncol. 14 (2003) 29-35
24. Hannun Y. Apoptosis and the dilemma of cancer chemotherapy. Blood 89 (1997) 1845-1853
25. Hayashi N., Kinoshita H., Yukawa E., and Higuchi S. Pharmacokinetic and pharmacodynamic analysis of subcutaneous recombinant human granulocyte colony stimulating factor (Lenograstim) administration. J. Clin. Pharmacol. 39 (1999) 583-592
26. Hayashi N., Aso H., Higashida M., Kinoshita H., Ohdo S., Yukawa E., and Higuchi S. Estimation of RHG-CSF absorption kinetics after subcutaneous administration using a modified Wagner-Nelson method with a nonlinear elimination model. Eur. J. Pharm. Sci. 15 (2001) 151-158
27. Holmes F., O'Shaughnessy J., Vukelja S., Jones S., Shogan J., Savin M., Glaspy J., Moore M., Meza L., Wiznitzer I., Neumann T., Hill L., and Liang B. Blinded, randomized, multicenter study to evaluate single administration pegfilgrastim once per cycle versus daily filgrastim as an adjunct to chemotherapy in patients with high-risk Stage II or Stage III/IV breast cancer. J. Clin. Oncol. 20 (2002) 727-731
28. Israels L.G., and Israels E.D. Mechanisms in Hematology (2002), Core Health Services Inc.
29. Kearns C.M., Wang W.C., Stute N., Ihle J., and Evans W.E. Disposition of recombinant human granulocyte colony-stimulating factor in children with severe chronic neutropenia. J. Pediatr. 123 3 (1993) 471-479
30. Kennedy B.J. Cyclic leukocyte oscillations in chronic myelogenous leukemia during hydroxyurea therapy. Blood 35 (1970) 751-760
31. Koumakis G., Vassilomanolakis M., Barbounis V., Hatzichristou E., Demiri S., Plataniotis G., Pamouktsoglou F., and Efremidis A. Optimal timing (preemptive versus supportive) of granulocyte colony-stimulating factor administration following high-dose cyclophosphamide. Oncology 56 (1999) 28-35
32. Kuwabara T., Kato Y., Kobayashi S., Suzuki H., and Sugiyama Y. Nonlinear pharmacokinetics of a recombinant human granulocyte colony-stimulating factor derivative (nartograstim): species differences among rats, monkeys and humans. J. Pharmacol. Exp. Ther. 271 3 (1994) 1535-1543
33. Layton, J., Hall, N., 2006. The interaction of G-CSF with its receptor. Bioscience 3181-3189.
34. Lord B.I., Bronchud M.H., Owens S., Chang J., Howell A., Souza L., and Dexter T.M. The kinetics of human granulopoiesis following treatment with granulocyte colony stimulating factor in vivo. Proc. Natl. Acad. Sci., USA 86 (1989) 9499-9503
35. Lotem J., and Sachs L. Hematopoietic cytokines inhibit apoptosis induced by transforming growth factor bl and cancer chemotherapy compounds in myeloid leukemic cells. Blood 80 (1992) 1750-1757
36. Mackey M., and Dormer P. Continuous maturation of proliferating erythroid precursors. Cell and Tissues Kinetics 15 (1982) 381-392
37. Mackey M.C. Cell kinetic status of haematopoietic stem cells. Cell Prolif. 34 (2001) 71-83
38. Mackey M.C., Aprikyan A.A.G., and Dale D.C. The rate of apoptosis in post mitotic neutrophil precursors of normal and neutropenic humans. Cell Prolif. 36 (2003) 27-34
39. Meisenberg B., Davis T., Melaragno A.J., Stead R., and Monroy R. A comparison of therapeutic schedules for administering granulocyte colony-stimulating factor to nonhuman primates after high-dose chemotherapy. Blood 79 (1992) 2267-2272
40. Molineux G., Kinstler O., Briddell B., Hartley C., McElroy P., Kerzic P., Sutherland W., Stoney G., Kern B., Fletcher F., Cohen A., Korach E., Ulich T., McNiece I., Lockbaum P., Miller-Messana M., Gardner S., Hunt T., and Schwab G. A new form of filgrastim with sustained duration in vivo and enhanced ability to mobilize PBPC in both mice and humans. Exp. Hematol. 27 (1999) 1724-1734
41. Morstyn G., Campbell L., Lieschke G., Layton J.D.M., O'Connor M., Green M., Sheridan W., Vincent M., Alton K., Souza L., McGrath K., and Fox R. Treatment of chemotherapy-induced neutropenia by subcutaneously administered granulocyte colony-stimulating factor with optimization of dose and duration of therapy. J. Clin. Oncol. 7 (1989) 1554-1562
42. Novak B., and Tyson J.J. Numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos. J. Cell Sci. 106 (1993) 1153-1168
43. Ostby I., Rusten L.S., Kvalheim G., and Grottum P. A mathematical model for reconstitution of granulopoiesis after high dose chemotherapy with autologous stem cell transplantation. J. Math. Biol. 47 (2003) 101-136
44. Ozbudak E.M., Thattai M., Lim H.N., Shraiman B.I., and van Oudenaarden A. Multistability in the lactose utilization network of Escherichia coli. Nature 427 (2004) 737-740
45. Panetta J.C., Kirstein M.N., Gajjar A., Nair G., Fouladi M., and Stewart C.F. A mechanistic mathematical model of temozolomide myelosuppression in children with high-grade gliomas. Math. Biosci. 186 (2003) 29-41
46. Perko L. Differential Equations and Dynamical Systems (2008), Springer, New York
47. Pomerening J.R., Sontag E.D., and Ferrell J.E.J. Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2. Nature Cell Biol. 5 (2003) 346-351
48. Price T.H., Chatta G.S., and Dale D.C. Effect of recombinant granulocyte colony stimulating factor on neutrophil kinetics in normal young and elderly humans. Blood 88 (1996) 335-340
49. Rahman Z., Esparza-Guerra L., Yap H., Fraxchini G., Bodey G., and Hortobagyi G. Chemotherapy-induced neutropenia and fever in patients with metastasic breast carcinoma receiving salvage chemotherapy. Cancer 79 (1997) 1150-1157
50. Roeder I. Quantitative stem cell biology: computational studies in the hematopoietic system. Curr. Opin. Hematol. 13 (2006) 222-228
51. Roskos L., Lum P., Lockbaum P., Schwab G., and Yang B.-B. Pharmacokinetic/pharmacodynamic modeling of pegfilgrastim in healthy subjects. J. Clin. Pharmacol. 46 (2006) 747-757
52. Rubinow S., and Lebowitz J. A mathematical model of neutrophil production and control in normal man. J. Math. Biol. 1 (1975) 187-225
53. Santillan M., and Mackey M.C. Influence of catabolite repression and inducer exclusion on the bistable behavior of the lac operon. Biophysics 86 (2004) 1281-1292
54. Santillan M., Mackey M.C., and Zeron E. Origin of bistability in the lac operon. Biophys. J. 92 (2007) 3830-3842
55. Scholz M., Engel C., and Loeffler M. Modelling human granulopoiesis under polychemotherapy with G-CSF support. J. Math. Biol. 50 (2005) 397-439
56. Sha W., Moore J., Chen K., Lassaletta A.D., Yi C., Tyson J.J., and Sible J.C. Hysteresis drives cell-cycle transitions in Xenopus laevis egg extracts. Proc. Natl. Acad. Sci. USA 100 (2003) 975-980
57. Shampine L. Solving ODEs and DDEs with residual control. Appl. Num. Math. 52 (2005) 113-127
58. Shochat E., Stemmer S.M., and Segel L. Human haematopoiesis in steady state and following intense perturbations. Bull. Math. Biol. 64 (2002) 861-886
59. Shochat E., Rom-Kedar V., and Segel L. G-CSF control of neutrophil dynamics in the blood. Bull. Math. Biol. 69 (2007) 2299-2338
60. Strogatz S.H., 2001. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering. Perseus Books Group.
61. Stute N., Santana V., Rodman J., Schell M., Ihle J., and Evans W. Pharmacokinetics of subcutaneous recombinant human granulocyte colony-stimulating factor in children. Blood 79 11 (1992) 2849-2854
62. Vainstein V., Ginosara Y., Shohamb M., Ranmara D., Ianovskib A., and Agur Z. The complex effect of granulocyte colony-stimulating factor on human granulopoiesis analyzed by a new physiologically-based mathematical model. J. Theor. Biol. 234 3 (2005) 311-327
63. Webb, G., 1985. Theory of nonlinear age-dependent population dynamics. Monographs and Textbooks in Pure and Applied Mathematics, vol. 89.
64. Yildirim N., and Mackey M.C. Feedback regulation in the lactose operon: a mathematical modeling study and comparison with experimental data. Biophysics 84 (2003) 2841-2851
65. Yildirim N., Santillan M., Horike D., and Mackey M.C. Dynamics and bistability in a reduced model of the lac operon. Chaos 14 (2004) 279-292
66. Zamboni W. Pharmacokinetics of pegfilgrastim. Pharmacotherapy 23 (2003) 9S-14S