A mathematical model for the intracellular circadian rhythm generator

Journal of Neuroscience

Volumn 19, Issue 1, 1999, Pages 40-47

  Scheper, Tjeerd Olde ^a   Klinkenberg, Don ^b   Pennartz, Cyriel ^b   Van Pelt, Jaap ^b  

^a OXFORD BROOKES UNIVERSITY   (United Kingdom)

^b NETHERLANDS INSTITUTE FOR NEUROSCIENCE   (Netherlands)

Author keywords

Circadian rhythm; Entrainment; Models; Molecular clock; Phase response curves; SCN

Indexed keywords

ARTICLE; CIRCADIAN RHYTHM; MATHEMATICAL MODEL; NEGATIVE FEEDBACK; NONLINEAR SYSTEM; OSCILLATION; PRIORITY JOURNAL; PROTEIN SYNTHESIS; RNA SYNTHESIS;

EID: 0013458618     PISSN: 02706474     EISSN: None     Source Type: Journal    
DOI: 10.1523/jneurosci.19-01-00040.1999     Document Type: Article

References (35)

1. Alberts B, Bray D, Lewis J, Raff M, Roberts K, Watson JD (1989) Molecular biology of the cell, Ed 2. New York: Garland Publishing.
2. Aréchiga H (1993) Circadian rhythms. Curr Opin Neurobiol 3:1005-1010.
3. Aronson BD, Johnson KA, Loros JJ, Dunlap JC (1994) Negative feedback defining a circadian clock: autoregulation of the clock gene frequency. Science 263:1578-1583.
4. Dembinska ME, Stanewsky R, Hall JC, Rosbash M (1997) Circadian cycling of a PERIOD-β-galactosidase fusion protein in Drosophila: evidence for cyclical degradation. J Biol Rhythms 12:157-172.
5. Dunlap JC (1996) Genetic and molecular analysis of circadian rhythms. Annu Rev Genet 30:579-601.
6. Edery I, Rutila JE, Rosbash M (1994a) Phase shifting of the circadian clock by induction of the Drosophila period protein. Science 263:237-240.
7. Edery I, Zwiebel LJ, Dembinska ME, Rosbash M (1994b) Temporal phosphorylation of the Drosophila period protein. Proc Natl Acad Sci USA 91:2260-2264.
8. Goldbeter A (1995) A model for circadian oscillations in the Drosophila period protein (PER). Proc R Soc Lond B Biol Sci 261:319-324.
9. Goodwin BC (1965) Oscillatory behaviour in enzymatic control processes. Adv Enzyme Regul 3:425-438.
10. Griffith JS (1968) Mathematics of cellular control processes. I. Negative feedback to one gene. II. Positive feedback to one gene. J Theor Biol 20:202-216.
11. Gumowski I (1981) Qualitative properties of some dynamic systems with pure delay. Lect Notes Biomath 41:139-152.
12. Hardin PE, Hall JC, Rosbash M (1990) Feedback of the Drosophila period gene product on circadian cycling of its messenger RNA levels. Nature 343:536-540.
13. Hardin PE, Hall JC, Rosbash M (1992) Circadian oscillations in period gene mRNA levels are transcriptionally regulated. Proc Natl Acad Sci USA 89:11711-11715.
14. Hunter-Ensor M, Ousley A, Sehgal A (1996) Regulation of the Drosophila protein timeless suggests a mechanism for resetting the circadian clock by light. Cell 84:677-685.
15. King DP, Zhao Y, Sangoram AM, Wilsbacher LD, Tanaka M, Antoch MP, Steeves TDL, Hotz Vitaterna M, Kornhauser JM, Lowrey PL, Turek FW, Takahashi JS (1997) Positional cloning of the mouse circadian clock gene. Cell 89:641-653.
16. Konopka RJ, Benzer S (1971) Clock mutants of Drosophila melanogaster. Proc Natl Acad Sci USA 68:2112-2116.
17. Kornhauser JM, Nelson DE, Mayo KE, Takahashi JS (1990) Photic and circadian regulation of c-fos gene expression in the hamster suprachiasmatic nucleus. Neuron 5:127-134.
18. Lee C, Parikh V, Itsukaichi T, Bae K, Edery I (1996) Resetting the Drosophila clock by photic regulation of PER and a PER-TIM complex. Science 271:1740-1744.
19. Lewis RD, Warman GR, Saundcrs DS (1997) Simulations of free-running rhythms, light entrainment and the light-pulse phase response curves for the locomotor activity rhythm in period mutant of Drosophila melanogasler. J Theor Biol 185:503-510.
20. Marques MD, Waterhouse JM (1994) Masking and the evolution of circadian rhythmicity. Chronobiol Int 11:146-155.
21. Merrow MW, Garceau NY, Dunlap JC (1997) Dissection of a circadian oscillation into discrete domains. Proc Natl Acad Sci USA 94:3877-3882.
22. Murray JD (1989) Mathematical biology. Berlin: Springer.
23. Myers MP, Wager-Smith K, Rothenfluh-Hilfiker A, Young MW (1996) Light-induced degradation of TIMELESS and entrainment of the Drosophila circadian clock. Science 271:1736-1740.
24. Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in C, Ed 2. Cambridge, UK: Cambridge UP.
25. Ravault JP, Arendt J, Tobler I, Chesneau D, Maulin O (1989) Entrainment of melatonin rhythms in rams by symmetrical light-dark cycles of different period length. Chronobiol Int 6:329-339.
26. Ruoff P, Rensing L (1996) The temperature compensated Goodwin model simulates many circadian clock properties. J Theor Biol 179:275-285.
27. Saez L, Young MW (1996) Regulation of nuclear entry of the Drosophila clock proteins PERIOD and TIMELESS. Neuron 17:911-920.
28. Sassone-Corsi P (1994) Rhythmic transcription and autoregulatory loops: winding up the biological clock. Cell 78:361-364.
29. Takahashi JS (1991) Circadian rhythms: from gene expression to behaviour. Curr Opin Neurobiol 1:556-561.
30. Takahashi JS (1995) Molecular neurobiology and genetics of circadian rhythms in mammals. Annu Rev Neurosci 18:531-553.
31. Young MW (1996) The Drosophila genes timeless and period collaborate to promote cycles of gene expression composing a circadian pacemaker. In: Progress in brain research, Vol 111 (Buijs RM, Kalsbeek A, Romijn HJ, Pennartz CMA, Mirmiran M, eds), pp 29-39. Amsterdam: Elsevier Science.
32. Zeng H, Hardin PE, Rosbash M (1994) Constitutive overexpression of the Drosophila period protein inhibits period mRNA cycling. EMBO J 13:3590-3598.
33. Zeng H, Qian Z, Myers MP, Rosbash M (1996) A light-entrainment mechanism for the Drosophila circadian clock. Nature 380:129-135.
34. Zerr DM, Hall JC, Rosbash M, Siwicki KK (1990) Circadian fluctuations of period protein immunoreactivity in the CNS and the visual system of Drosophila. J Neurosci 10:2749-2762.
35. Zhang Y, Takahashi JS, Turek FW (1996) Critical period for cycloheximide blockade of light induced phase advances of the circadian locomotor rhythm in golden hamsters. Brain Res 740:285-290.