Hybrid model of erythropoiesis and leukemia treatment with cytosine a rabinoside

SIAM Journal on Applied Mathematics

Volumn 71, Issue 6, 2011, Pages 2246-2268

  Kurbatova, Polina ^a   Bernard, Samuel ^a   Bessonov, Nikolai ^b   Crauste, Fabien ^a   Demin, Ivan ^c   Dumontet, Charles ^d   Fischer, Stephan ^e   Volpert, Vitaly ^a  

^a UNIVERSITÉ LYON 1   (France)

^b INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

^c NOVARTIS PHARMA AG   (Switzerland)

^d UNIVERSITÉ LYON 1   (France)

^e UNIVERSITÉ DE LYON   (France)

Author keywords

Cell cycle; Chronotherapy; Hybrid model; Leukemia treatment; Regulatory networks

Indexed keywords

CELL CYCLE; CHRONOTHERAPY; HYBRID MODEL; LEUKEMIA TREATMENT; REGULATORY NETWORK;

BLOOD; CELL CULTURE; CELL DEATH; CELL PROLIFERATION; DISEASES; DYNAMICS; ENZYME ACTIVITY; PARTIAL DIFFERENTIAL EQUATIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84855479552     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/100815517     Document Type: Article

References (41)

1. A. ALTINOK, F. LÉVI, AND A. GOLDBETER, Identifying mechanisms of chronotolerance and chronoefficacy for the anticancer drugs 5-fluorouracil and oxaliplatin by computational modeling, Eur. J. Pharm Sci., 36(2009), pp. 20-38.
2. A. ALTINOK, F. LÉVI, AND A. GOLDBETER, A cell cycle automaton model for probing circadian patterns of anticancer drug delivery, Adv. Drug Deliv. Rev., 59(2007), pp. 1036-1053. (Pubitemid 47542288)
3. A. BALLESTA, S. DULONG, C. ABBARA, B. COHEN, A. OKYAR, J. CLAIRAMBAULT, AND F. LÉVI, A Combined Experimental and Mathematical Approach for Molecular-based Optimization of Irinotecan Circadian Delivery, PLoS Comput. Biol., 7(2011), 1002143.
4. S. BERNARD, B. CAJAVEC BERNARD, F. LÉVI, AND H. HERZEL, Tumor growth rate determines the timing of optimal chronomodulated treatment schedules, PLoS Comput Biol., 6(2010), e1000712.
5. N. BESSONOV, F. CRAUSTE, I. DEMIN, AND V. VOLPERT, Dynamics of erythroid progenitors and erythroleukemia, Math. Model. Nat. Phenom., 4(2009), pp. 210-232.
6. N. BESSONOV, I. DEMIN, P. KURBATOVA, L. PUJO-MENJOUET, AND V. VOLPERT, Multiagent systems and blood cell formation, in Multi-Agent Systems: Modeling, Interactions, Simulations and Case Studies, F. Alkhateeb, E. Al Maghayreh, and I. A. Doush, eds.: also available online from http://www.intechopen.com/ articles/show/title/multiagent-systems-and-blood-cell-formation.
7. N. BESSONOV, I. DEMIN, L. PUJO-MENJOUET, AND V. VOLPERT, A multi-agent model describing self-renewal or differentiation effect of blood cell population, Math. Comput. Modelling, 49(2009), pp. 2116-2127.
8. N. BESSONOV, P. KURBATOVA, AND V. VOLPERT, Dynamics of Growing Cell Populations, CRM, preprint 931, Mathematical Biology, University of Barcelona, Spain, 2010.
9. N. BESSONOV, P. KURBATOVA, AND V. VOLPERT, Particle dynamics modelling of cell populations, Math. Model. Nat. Phenom., 5(2010), pp. 42-47.
10. N. BESSONOV, L. PUJO-MENJOUET, AND V. VOLPERT, Cell modelling of hematopoiesis, Math. Model. Nat. Phenom., 1(2006), pp. 81-103.
11. J. A. CHASIS AND N. MOHANDAS, Erythroblastic islands: Niches for erythropoiesis, Blood, 112(2008), pp. 470-478.
12. R. CHEONG, A. BERGMANN, S. L. WERNER, J. REGAL, A. HOFFMANN, AND A. LEVCHENKO, Transient IκB kinase activity mediates temporal NF-κB dynamics in response to a wide range of tumor necrosis factor-αDoses, J. Biol. Chem., 281(2006), pp. 2945-2950. (Pubitemid 43845761)
13. L. COJOCARU AND Z. AGUR, A theoretical analysis of interval drug dosing for cell-cycle-phasespecific drugs, Math. Biosci., 109(1992), pp. 85-97.
14. C. COLIJN AND M. C. MACKEY, A mathematical model of hematopoiesis I. Periodic chronic myelogenous leukemia, J. Theor. Biol., 237(2005), pp. 117-132. (Pubitemid 41406400)
15. C. COLIJN AND M. C. MACKEY, A mathematical model of hematopoiesis II. Cyclical neutropenia, J. Theor. Biol., 237(2005), pp. 133-146. (Pubitemid 41406401)
16. F. CRAUSTE, I. DEMIN, O. GANDRILLON, AND V. VOLPERT, Mathematical study of feedback control roles and relevance in stress erythropoiesis, J. Theoret. Biol., 263(2010), pp. 303-316.
17. J. C. DALLON, Models with lattice-free center-based cel ls interacting with continuum environment variables, Single-Cell-Based Models in Biology and Medicine, A. R. A. Anderson, M. A. J. Chaplain, and K. A. Rejniak, eds., Series Mathematics and Biosciences in Interaction, Springer, Birkhauser, Basel, 2007, pp. 197-219.
18. S. DAZY, F. DAMIOLA, N. PARISEY, H. BEUG, AND O. GANDRILLON, The MEK-1/ERKs signaling pathway is differentially involved in the self-renewal of early and late avian erythroid progenitor cells, Oncogene, 22(2003), pp. 9205-9216. (Pubitemid 38122032)
19. R. DE MARIA, U. TESTA, L. LUCHETTI, A. ZEUNER, G. STASSI, E. PELOSI, R. RICCIONI, N. FELLI, P. SAMOGGIA, AND C. PESCHLE, Apoptotic role of Fas/Fas ligand system in the regulation of erythropoiesis, Blood, 93(1999), pp. 796-803. (Pubitemid 29067844)
20. I. DEMIN, F. CRAUSTE, O. GANDRILLON, AND V. VOLPERT, A multi-scale model of erythropoi es i s, J. Biol. Dynam., 4(2010), pp. 59-70.
21. B. F. DIBROV, Resonance effect in self-renewing tissues, J. Theor. Biol., 192(1998), pp. 15-33. (Pubitemid 28254402)
22. D. DRASDO, Center-based single-cell models: An approach to multi-cellular organization based on a conceptual analogy to colloidal particles, Single-Cell-Based Models in Biology and Medicine, A. R. A. Anderson, M. A. J. Chaplain, and K. A. Rejniak, eds., Series Mathematics and Biosciences in Interaction, Springer, Birkhauser, Basel, 2007, pp. 171-196.
23. E. H. ESTEY, Treatment of acute myeloid leukemia, Haematologica, 94(2009), pp. 10-16.
24. S. GIACCHETTI, G. BJARNASON, C. GARUFI, D. GENET, S. IACOBELLI, M. TAMPELLINI, R. SMAALAND, C. FOCAN, B. COUDERT, Y. HUMBLET, J. L. CANON, A. ADENIS, G. LORE, C. CARVALHO, J. SCHUELLER, N. ANCIAUX, M. A. LENTZ, B. BARON, T. GORLIA, AND F. LÉVI, Phase III trial comparing 4-day chronomodulated therapy versus 2-day conventional delivery of fluorouracil, leucovorin, and oxaliplatin as first-line chemotherapy of metastatic colorectal cancer: The European Organisation for Research and Treatment of Cancer Chronotherapy Group, J. Clin. Oncol. 24(2006), pp. 3562-3569. (Pubitemid 46630527)
25. D. F. GLUZMAN, V. A. NADGORNAYA, L. M. SKLYARENKO, T. S. IVANOVSKAYA, L. Y. POLUDNENKO, AND N. I. UKRAINSKAYA, Immunocytochemical markers in acute leukemias diagnosis, Exp. Oncol., 32(2010), pp. 195-199.
26. H. P. KOEFFLER, Induction of differentiation of human acute myelogenous leukemia cells: Therapeutic implications, Blood, 62(1983), pp. 709-721. (Pubitemid 13008656)
27. A. KOWAL-VERN, F. M. MAZZELLA, J. D. COTELINGAM, M. A. SHRIT, J. T. RECTOR, AND H. R. SCHUMACHER, Diagnosis and characterization of acute erythroleukemia subsets by determining the percentages of myeloblasts and proerythroblasts in 69 cases, Amer. J. Hematol., 65(2000), pp. 5-13.
28. M. J. KOURY AND M. C. BONDURANT, Erythropoietin retards DNA breakdown and prevents programmed death in erythroid progenitor cells, Science, 248(1990), pp. 378-381.
29. A. MADAN, C. LIN, Z. WANG, AND P. T. CURTIN, Autocrine stimulation by erythropoietin in transgenic mice results in erythroid proliferation without neoplastic transformation, Blood Cells Molecules Diseases, 30(2003), pp. 82-89. (Pubitemid 36382895)
30. F. M. MAZZELLA, C. ALVARES, A. KOWAL-VERN, AND H. R. SCHUMACHER, The acute erythroleukemias, Clin. Lab. Med., 20(2000), pp. 119-137. (Pubitemid 30111895)
31. R. L. MOMPARLER, A model for the chemotherapy of acute leukemia with 1-β-D-arabinofuranosylcytosine, Cancer Res., 34(1974), pp. 1775-1787.
32. M. C. MORMONT AND F. LEVI, Cancer chronotherapy: Principles, applications, and perspectives, Cancer, 97(2003), pp. 155-169. (Pubitemid 36033875)
33. P. F. MORRISON, T. L. LINCOLN, AND J. AROESTY, The disposition of ara-c and its metabolites: A pharmacokinetic simulation, Cancer Chemother. Rep., 59(1975), pp. 861-876.
34. J. M. OSBORNE, A. WALTER, S. K. KERSHAW, G. R. MIRAMS, A. G. FLETCHER, P. PATHMANATHAN, D. GAVAGHAN, O. E. JENSEN, P. K. MAINI, AND H. M. BYRNE, A hybrid approach to multi-scale modelling of cancer, Phil. Trans. R. Soc. A, 368(2010), pp. 5013-5028.
35. A. A. PATEL, E. T. GAWLINSKY, S. K. LEMIEUX, AND R. A. GATENBY, A cellular automaton model of early tumor growth and invasion: The effects of native tissue vascularity and increased anaerobic tumor metabolism, J. Theor. Biol., 213(2001), pp. 315-331. (Pubitemid 34014402)
36. D. A. REW, G. D. WILSON, I. TAYLOR, AND P. C. WEAVER, Proliferation characteristics of human colorectal carcinomas measured in vivo, British J. Surg., 78(1991), pp. 60-66.
37. C. RUBIOLO, D. PIAZZOLLA, K. MEISSL, H. BEUG, J. C. HUBER, A. KOLBUS, AND M. BACCARINI, A balance between Raf-1 and Fas expression sets the pace of erythroid differentiation, Blood, 108(2006), pp. 152-159. (Pubitemid 43990623)
38. R. SMAALAND, O. D. LAERUM, K. LOTE, O. SLETVOLD, R. B. SOTHERN, AND R. BJERKNES, DNA synthesis in human bone marrow is circadian stage dependent, Blood, 77(1991), pp. 2603-2611.
39. R. SMAALAND, R. B. SOTHERN, O. D. LAERUM, AND J. F. ABRAHAMSEN, Rhythms in human bone marrow and blood cells, Chronobiol. Int., 19(2002), pp. 101-127. (Pubitemid 34326438)
40. M. Y. YANG, J. G. CHANG, P. M. LIN, K. P. TANG, Y. H. CHEN, H. Y. LIN, T. C. LIU, H. H. HSIAO, Y. C. LIU, AND S. F. LIN, Downregulation of circadian clock genes in chronic myeloid leukemia: Alternative methylation pattern of hPER3, Cancer Sci., 97(2006), pp. 1298-1307. (Pubitemid 44614980)
41. M. Y. YANG, W. C. YANG, P. M. LIN, J. F. HSU, H. H. HSIAO, Y. C. LIU, H. J. TSAI, C. S. CHANG, AND S. F. LIN, Altered expression of circadian clock genes in human chronic myeloid leukemia, J. Biol. Rhythms., 26(2011), pp. 136-148.