Modeling circadian clock-cell cycle interaction effects on cell population growth rates

Journal of Theoretical Biology

Volumn 363, Issue , 2014, Pages 318-331

  El Cheikh, R ^a,b   Bernard, S ^a,b   El Khatib, N ^c  

^a UNIVERSITÉ LYON 1   (France)

^b INRIA RHÔNE ALPES   (France)

^c LEBANESE AMERICAN UNIVERSITY   (Lebanon)

Author keywords

Age structured equations; Chronotherapy

Indexed keywords

CELL PROTEIN; PROTEIN WEE1; UNCLASSIFIED DRUG; ARNTL PROTEIN, HUMAN; CELL CYCLE PROTEIN; CIRCADIAN RHYTHM SIGNALING PROTEIN; CRY1 PROTEIN, HUMAN; CRY2 PROTEIN, HUMAN; CRYPTOCHROME; NUCLEAR PROTEIN; PER2 PROTEIN, HUMAN; PROTEIN TYROSINE KINASE; TRANSCRIPTION FACTOR ARNTL; WEE1 PROTEIN, HUMAN;

AGE STRUCTURE; CIRCADIAN RHYTHM; GROWTH RATE; MUTATION; PHYSIOLOGY;

ARTICLE; CELL CYCLE; CELL GROWTH; CELL POPULATION; CELL PROLIFERATION; CHRONOTHERAPY; CIRCADIAN GENE; CIRCADIAN RHYTHM; CRY 1 GENE; CRY 2 GENE; GENE; GENE MUTATION; GROWTH RATE; MATHEMATICAL MODEL; MOLECULAR MODEL; NEOPLASM; PER 2 GENE; POPULATION MODEL; GENE EXPRESSION REGULATION; GENETICS; HUMAN; METABOLISM; MUTATION; PHYSIOLOGY; PROCEDURES; THEORETICAL MODEL; TIME;

ARNTL TRANSCRIPTION FACTORS; CELL CYCLE; CELL CYCLE PROTEINS; CELL PROLIFERATION; CHRONOTHERAPY; CIRCADIAN CLOCKS; CRYPTOCHROMES; GENE EXPRESSION REGULATION; HUMANS; MODELS, THEORETICAL; MUTATION; NUCLEAR PROTEINS; PERIOD CIRCADIAN PROTEINS; PROTEIN-TYROSINE KINASES; TIME FACTORS;

EID: 84907480712     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2014.08.008     Document Type: Article

References (55)

1. Akashi M., Okamoto A., Tsuchiya Y., Todo T., Nishida E., Node K. A positive role for PERIOD in mammalian circadian gene expression. Cell Rep 2014, 7(4):1056-1064. 10.1016/j.celrep.2014.03.072.
2. Altinok A., Gonze D., Lévi F., Goldbeter A. An automaton model for the cell cycle. Interface Focus 2011, 1:36-47.
3. Becker-Weimann S., Wolf J., Herzel H., Kramer A. Modeling feedback loops of the mammalian circadian oscillator. Biophys. J. 2004, 87(5):3023-3034.
4. Bernard S., Herzel H. Why do cells cycle with a 24 hour period?. Genome Inf. 2006, 17(1):72-79.
5. Bernard S., Bernad B.C., Lévi F., Herzel H. Tumor growth rate determines the timing of optimal chronomodulated treatment schedules. PLoS Comput. Biol. 2010, 6:e1000712.
6. Brikci F., Clairambault J., Ribba B., Perthame B. An age-and-cyclin-structured cell population model for healthy and tumoral tissues. J. Math. Biol. 2007, 57:91-110.
7. Brikci F., Clairambault J., Perthame B. Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle. Math. Comput. Model. 2008, 47:699-713.
8. Cardone L., Hirayama J., Giordanao F., Tamaru T., Palvino J., Sassone-Corsi P. Circadian clock control by SUMOylation of BMAL1. Science 2005, 309:1390-1394.
9. Chauhan A., Lorenzen S., Herzel H., Bernard S. Regulation of mammalian cell cycle progression in the regenrating liver. J. Theor. Biol. 2011, 283:103-112.
10. Chen Z., McKnight S. A conserved DNA damage response pathway responsible for coupling the cell division cycle to the circadian and metabolic cycles. Cell Cycle 2007, 6(23):2906-2912.
11. Clairambault J., Gaubert S., Lepoutre T. Comparison of Perron and Floquet eigenvalues in age structured cell division models. Math. Comput. Model. 2009, 4:183-209.
12. Clairambault J., Gaubert S., Lepoutre T. Circadian rhythm and cell population growth. Math. Comput. Model. 2011, 53:1558-1567.
13. Doumic M. Analysis of a population model structured by the cells molecular content. Math. Model. Nat. Phenom. 2007, 2:121-152.
14. Edmunds J. LN, Cellular and Molecular Bases of Biological Clocks: Models and Mechanisms for Circadian Timekeeping 1988, Springer, NY, USA.
15. ε-regulated proteasome-mediated per2 degradation. Mol. Cell. Biol. 2005, 25:2795-2807.
16. Feillet C., et al. Phase locking and multiple oscillating attractors for the coupled mammalian clock and cell cycle. Proc. Natl. Acad. Sci. 2014, 111(27):9828-9833.
17. Filipski E., King V., Li X., Granda T., Mormont M., Liu X., Claustrat B., Hastings M., Lévi F. Host circadian clock as a control point in tumor progression. J. Natl. Cancer. Inst. 2002, 94:690-697.
18. Filipski E., Delaunay F., King V., Wu M.-W., Claustrat B., Gréchez-Cassiau A., Guettier C., Hastings M., Lévi F. Effects of chronic jet lag on tumor progression in mice. Cancer Res. 2004, 64:7879-7885.
19. Filipski E., Subramanian P., Carriére J., Guettier C., Barbason H., Lévi F. Circadian disruption accelerates liver carcinogenesis in mice. Mutat. Res. 2009, 680:95-105.
20. Focan C. Circadian rhythms and cancer chemotherapy. Pharmacol. Ther. 1995, 67:1-52.
21. Focan C., Lévi F., Kreutz F. Continuous delivery of venous 5-fluorouracil and arterial 5-fluorodeoxyuridine for hepatic metastases from colorectal cancer. feasibility and tolerance in a randomized phase II trial comparing flat versus chronomodulated infusion. Anticancer Drugs 1999, 10:385-392.
22. Focan C., Kreutz F., Focan-Henrard D., Moeneclaey N. Chronotherapy with 5-fluorouracil, folinic acid and carboplatin for metastatic colorectal cancer; an interesting therapeutic index in a phase II trial. Eur. J. Cancer 2000, 36:341-347.
23. Forger D.B., Peskin C.S. A detailed predictive model of the mammalian circadian clock. Proc. Natl. Acad. Sci. 2003, 100(25):14806-14811.
24. Fu L., Pelicano H., Liu J., Huang P., Lee C. The circadian gene Period2 plays an important role in tumor suppression and DNA damage response in vivo. Cell 2002, 11:41-50.
25. Gérard C., Goldbeter A. Entrainment of the mammalian cell cycle by the circadian clock. modeling two coupled cellular rhythms. PLoS Comput. Biol. 2012, 8(5):e1002516.
26. Gery S., Komatsu N., Baldjyan L., Yu A., Koo D., Koeffler H. The circadian gene per1 plays an important role in cell growth and DNA damage control in human cancer cells. Mol. Cell 2006, 22:375-382.
27. Gonze D. Modeling circadian clocks. from equations to oscillations. Cent. Eur. J. Biol. 2011, 6:699-711.
28. waf1/cip1 expression and hepatocyte proliferation. J. Biol. Chem. 2008, 283:4535-4542.
29. Hrushesky, W., Bjarnason, G., 1993. The application of circadian chronobiology to cancer chemotherapy. Cancer 2666-2686.
30. Hunt T., Sassone-Corsi P. Riding tandem. circadian clocks and the cell cycle. Cell 2007, 129:461-464.
31. Johnson C. Circadian clocks and cell division. What's the pacemaker?. Cell Cycle 2010, 9:3864-3873.
32. Kubo T., Ozasa K., Mikami K., Wakai K., Fujino Y., Watanabe Y., Miki T., Nakao M., Hayashi K., Suzuki K., Mori M., Washio M., Sakauchi F., Ito Y., Yoshimura T., Tamakoshi A. Prospective cohort study of the risk of prostate cancer among rotating-shift workers. findings from the japan collaborative cohort study. Am. J. Epidemiol. 2006, 164(6):549-555.
33. Langmesser S., Tallone T., Bordon A., Rusconi S., Albrecht U. Interaction of circadian clock proteins PER2 and CRY with BMAL1 and CLOCK. BMC Mol. Biol. 2008, 9:41-57.
34. Lee C., Etchegaray J., Cagampang F., Loudon A., Reppert S. Posttranslational mechanisms regulate the mammalian circadian clock. Cell 2001, 107:855-867.
35. Leloup J.-C., Goldbeter A. Modeling the mammalian circadian clock. sensitivity analysis and multiplicity of oscillatory mechanisms. J. Theor. Biol. 2004, 230:541-562.
36. Lévi F. Therapeutic implications of circadian rhythms in cancer patients. Novartis Found. Symp. 2000, 227:136-142.
37. Matsuo T., Yamaguchi S., Mitsui S., Emi A., Shimoda F., Okamura H. Control mechanism of the circadian clock for timing of cell division in vivo. Science 2003, 302:255-259.
38. Milo, et al. Bionumbers. Nucl. Acids Res. 2010, 38:D750-D753. (BNID 100685).
39. Mirsky H., Liu A., Welsh D., Kay S., Doyle F. A model of the cell-autonomous mammalian circadian clock. Proc. Natl. Acad. Sci. 2009, 106:11107-11112.
40. Morgan D. Principles of cdk regulation. Nature 1995, 374:131-134.
41. Murray D., Beckmann M., Kitano H. Regulation of yeast oscillatory dynamics. Proc. Natl. Acad. Sci. 2007, 104:2241-2246.
42. Nagoshi E., Saini C., Bauer C., Laroche T., Naef F., et al. Circadian gene expression in individual fibroblasts. cell-autonomous and self-sustained oscillators pass time to daughter cells. Cell 2004, 119:693-705.
43. Novak B., Pataki Z., Ciliberto A., Tyson J. Mathematical model of the cell division cycle of fission yeast. Chaos 2001, 11(1):277-286.
44. Oster H., Yasui A., van der Horst G., Albrecht U. Disruption of mCry 2 restores circadian rhythmicity in mPer 2 mutant mice. Genes Dev. 2002, 16:2633-2638.
45. Pando B., van Oudenaarden A. Coupling cellular oscillators-circadian and cell division cycles in cyanobacteria. Curr. Opin. Genet. Dev. 2010, 20:613-618.
46. Partch C., Shields K., Thompson C., Selby C., Sancar A. Posttranslational regulation of mammalian circadian clock by chryptochrome and protein phosphatase 5. Proc. Acad. Sci. USA 2006, 103:10467-10472.
47. Pikovsky A., Rosenblum M., Kurths J. Synchronization 2001, Cambridge University Press, New York, USA.
48. Reppert S., Weaver D. Coordination of circadian timing in mammals. Nature 2002, 418:935-941.
49. Sato T., Yamada R., Ukai H., Baggs J., Miraglia L., Kobayashi T., et al. Feedback repression is required for mammalian circadian clock function. Nat. Genet. 2006, 38:212-219.
50. Savvidis C., Koutsilieris M. Circadian rhythm disruption in cancer biology. Mol. Med. 2012, 18(1):1249-1260.
51. Shearman L., Sriram S., Weaver D., Maywood E., Chaves I., Zheng B., Kume K., Lee C., van der Horst T., Hastings M., Reppert S. Interacting molecular loops in the mammalian circadian clock. Science 2000, 288:1013-1019.
52. Tu B., Kudlicki A., Rowicka M., Mcknight S. Logic of the yeast metabolic cycle. temporal compartmentalization of cellular processes. Science 2005, 310:1152-1158.
53. Yang C., Bernardo F., Dong G., Golden S., van Oudenaarden A. Circadian gating of the cell cycle revealed in single cyanobacterial cells. Science 2010, 327:1522-1526.
54. Yu W., Nomura M., Ikeda M. Interacting feedback loops within the mammalian clock. BMAL1 is negatively autoregulated and upregulated by CRY1, CRY2, and PER2. Biochem. Biophys. Res. Commun. 2002, 290(3):933-941.
55. Zamborszky J., Csikasz-Nagy A., Hong C. Computational analysis of mammalian cell division gated by a circadian clock. quantized cell cycles and cell size. J. Biol. Rhythms 2007, 22:542-553.