BIOLOGICAL TIMING AND THE CLOCK METAPHOR: OSCILLATORY AND HOURGLASS MECHANISMS

REFERENCES

• Pittendrigh C. S., Bruce V. G. An Oscillator Model for Biological Clocks. Rhythmic and Synthetic Processes in Growth, D. Rudnick. Princeton University Press, Princeton, NJ 1957; 75–109
   Google Scholar
• Bünning E. The Physiological Clock. Endogenous Diurnal Rhythms and Biological Chronometry. Springer, Berlin 1973
   Google Scholar
• Edmunds L., Jr. Cellular and Molecular Bases of Biological Clocks. Springer Verlag, Berlin 1988
   Google Scholar
• Dunlap J. C. Molecular Bases for Circadian Clocks. Cell 1999; 6: 271–290
   Google Scholar
• Zordan M., Costa R., Macino G., Fukuhara C., Tosini G. Circadian Clocks: What Makes Them Tick. Chronobiol. Int. 2000; 17: 433–451
   PubMed Web of Science ®Google Scholar
• Sherr C. J. Cancer Cell Cycles. Science 1996; 274: 1672–1677
   Google Scholar
• Morgan D. O. Cyclin Dependent Kinases. Engines, Clocks and Microprocessors. Annu. Rev. Cell Dev. Biol. 1997; 13: 261–291
   PubMed Web of Science ®Google Scholar
• Stein G. S., Baserga R., Giordano A., Denhardt D. T. The Molecular Basis of Cell Cycle and Growth Control. Wiley and Sons, New York 1999
   Google Scholar
• Lloyd D., Rossi E. L. Ultradian Rhythms in Life Processes. Springer Verlag, Berlin 1993
   Google Scholar
• Kippert F., Hunt P. Ultradian Clocks in Eukaryotic Microbes: From Behavioural Observation to Functional Genomics. BioEssays 2000; 22: 10–22
   PubMed Web of Science ®Google Scholar
• Palmer D. The Clocks Controlling the Tide-Associated Rhythms of Intertidal Animals. BioEssays 2000; 22: 32–37
   PubMed Web of Science ®Google Scholar
• Neumann D. Tidal and Lunar Rhythms. Handbook of Behavioral Neurobiology, J. Aschoff. Ed., Plenum Press, New York 1981; 351–380
   Google Scholar
• Neumann D. Circadian Components of Semilunar and Lunar Timing Mechanism. J. Biol. Rhythms 1989; 4: 285–294
   PubMed Web of Science ®Google Scholar
• Neumann D. Physiologische Uhren von Insekten. Zur Ökophysiologie lunarperiodisch kontrollierter Fortpflanzungszeiten. Naturwiss 1995; 82: 310–320
   Google Scholar
• Mrosovsky N. Circannual Cycles in Golden-Mantled Ground Squirrel: Fall and Spring Cold Pulses. J. Comp. Physiol. [A] 1990; 167: 683–689
   Web of Science ®Google Scholar
• Körtner G., Geiser F. The Temporal Organization of Daily Torpor and Hibernation: Circadian and Circannual Rhythms. Chronobiol. Int. 2000; 17: 103–128
   PubMed Web of Science ®Google Scholar
• Fauser B. C.J.M., Van Heusden A. M. Manipulation of Human Ovarian Function: Physiological Concepts and Clinical Consequences. Endocrine Rev. 1997; 18: 71–106
   PubMed Web of Science ®Google Scholar
• Chabbert-Buffet N., Djakoure C., Maitre S. C., Bouchard P. Regulation of the Human Menstrual Cycle. Front. Neuroendocrinol. 1998; 19: 151–186
   PubMed Web of Science ®Google Scholar
• Hirsinger E., Jouve C., Dubrulle J., Pourquie O. Somite Formation and Patterning. Int. Rev. Cytol. 2000; 198: 1–65
   PubMed Web of Science ®Google Scholar
• Rensing L. Oscillations and Morphogenesis; Marcel Dekker: New York 1993
   Google Scholar
• Engelmann W., Antkowiak B. Ultradian Rhythms in Desmodium. Chronobiol. Int. 1998; 15: 293–307
   PubMed Web of Science ®Google Scholar
• Aschoff J., Gerkema M. On Diversity and Uniformity of Ultradian Rhythms. Ultradian Rhythms in Physiology and Behaviour, H. Schulz, P. Lavie. 1st Ed., Springer Verlag, Berlin 1985; 321–334
   Google Scholar
• Williams B. G. The Lack of Circadian Timing in Two Intertidal Invertebrates and Its Significance in the Circatidal/Circalunidian Debate. Chronobiol. Int. 1998; 15: 205–218
   PubMed Web of Science ®Google Scholar
• Johnson M. H., Day M. L. Egg Timers: How Is Developmental Time Measured in the Early Vertebrate Embryo. BioEssays 2000; 22: 57–63
   PubMed Web of Science ®Google Scholar
• Samach A., Coupland G. Time Measurement and the Control of Flowering in Plants. BioEssays 2000; 22: 38–47
   PubMed Web of Science ®Google Scholar
• Jiang Y., Smithers L. Vertebrate Segmentation: The Clock Is Linked to Notch Signaling. Curr. Biol. 1998; 8: R868–R871
   Web of Science ®Google Scholar
• Telfer A., Poethig R. S. HASTY: A Gene that Regulates the Timing of Shoot Maturation in Arabidopsis thaliana. Development 1998; 125: 1889–1898
   PubMed Web of Science ®Google Scholar
• Slack F., Ruvkun G. Temporal Pattern Formation by Heterochronic Genes. Annu. Rev. Genet. 1997; 31: 611–634
   PubMed Web of Science ®Google Scholar
• Ambros V., Moss E. G. Heterochronic Genes and the Temporal Control of C. elegans Development. Trends Genet. 1994; 10: 123–127
   PubMed Web of Science ®Google Scholar
• Branicky R., Bénard C., Hekimi S. Clk-1, Mitochondria, and Physiological Rates. BioEssays 2000; 22: 48–56
   PubMed Web of Science ®Google Scholar
• Durand B., Raff M. A Cell-Intrinsic Timer that Operates During Oligodendrocyte Development. BioEssays 2000; 22: 64–71
   PubMed Web of Science ®Google Scholar
• Smith R. Alterations in Hypothalamic Pituitary Adrenal Axis During Pregnancy and the Placental Clock that Determines Length of Parturition. J. Reprod. Immunol. 1998; 39: 215–220
   PubMed Web of Science ®Google Scholar
• Smith R. Corticotropin-Releasing Hormone and the Feto-Placental Clock: An Australian Perspective. Am. J. Obstet. Gynecol. 1999; 180: 269–270
   Web of Science ®Google Scholar
• Reinhardt B. J., Slack F. J., Basson M., Pasquinelli A. E., Bettinger J. C., Rougvie A. E., Horvitz H. R., Ruvkun G. The 21-Nucleotide let-7 RNA Regulates Developmental Timing in Caenorhabditis elegans. Nature 2000; 403: 901–905
   PubMed Web of Science ®Google Scholar
• Pasquinelli A. E., Reinhart B. J., Slack F., Martindale M. Q., Kuroda M. J., Maller B., Hayward D. C., Ball E. E., Degnan B., Müller P., Spring J., Srinivasan J., Fishman M., Finnerty J., Corbo J., Levine M., Leahy P., Davidson E., Ruvkun G. Conservation of the Sequence and Temporal Expression of let-7 Heterochronic Regulatory RNA. Nature 2000; 408: 86–89
   PubMed Web of Science ®Google Scholar
• Rubin H. Cell Aging In Vivo and In Vitro. Mech. Ageing Dev. 1997; 98: 1–35
   PubMed Web of Science ®Google Scholar
• Melov S. Mitochondrial Oxidative Stress. Physiologic Consequences and Potential for a Role in Aging. Ann. NY Acad. Sci. USA 2000; 908: 219–225
   PubMed Web of Science ®Google Scholar
• Sastre J., Pallardo F. V., Garcia de la Asuncion J., Vina J. Mitochondria, Oxidative Stress and Aging. Free Radic. Res. 2000; 32(3)189–198
   PubMed Web of Science ®Google Scholar
• Hayflick L. The Limited In Vitro Lifetime of Human Diploid Cell Strains. Exp. Cell Res. 1965; 37: 614–636
   PubMed Web of Science ®Google Scholar
• Allsopp R. C., Vaziri H., Patterson C., Goldstein S., Younglai E. V., Futcher A. B., Greider C. W., Harley C. B. Telomere Length Predicts Replicative Capacity of Human Fibroblasts. Proc. Natl. Acad. Sci. USA. 1992; 89: 10114–10118
   PubMed Web of Science ®Google Scholar
• Counter C. M. The Roles of Telomeres and Telomerase in Cell Life Span. Mutat. Res. 1996; 366: 45–63
   PubMed Web of Science ®Google Scholar
• Ayala F. J. Vagaries of the Molecular Clock. Proc. Natl. Acad. Sci. USA 1997; 94: 7776–7783
   PubMed Web of Science ®Google Scholar
• Ayala F. J. Molecular Clock Mirages. BioEssays 1999; 21: 71–75
   PubMed Web of Science ®Google Scholar
• Chao L. Evolution of Sex and the Molecular Clock in RNA Viruses. Gene 1997; 205: 301–330
   PubMed Web of Science ®Google Scholar
• Lawson R. J.R., Poethig R. S. Shoot Development in Plants—Time for a Change. Trends Genet. 1995; 11: 263–268
   PubMed Web of Science ®Google Scholar
• Carlson J. E., Riley J. C. A Consideration of Some Notable Aging Theories. Exp. Geront. 1998; 33: 127–134
   PubMed Web of Science ®Google Scholar
• Morita Y., Tilly J. Z. Oocyte Apoptosis: Like Sand Through an Hourglass. Dev. Biol. 1999; 213: 1–17
   PubMed Web of Science ®Google Scholar
• Gojobori T., Moriyama E. N., Kimura M. Molecular Clock of Viral Evolution, and the Neutral Theory. Proc. Natl. Acad. Sci. USA 1990; 87: 10015–10018
   PubMed Web of Science ®Google Scholar
• Wittmann M. Time Perception and Temporal Processing Levels of the Brain. Chronobiol. Int. 1999; 16: 17–32
   PubMed Web of Science ®Google Scholar
• Ivry R. Cerebellar Timing Systems. Int. Rev. Neurobiol. 1997; 41: 555–573
   PubMed Web of Science ®Google Scholar
• Ivry R. B. The Representation of Temporal Information in Perception and Motocontrol. Curr. Opin. Neurobiol. 1996; 6: 851–857
   PubMed Web of Science ®Google Scholar
• McBain C. J., Freund T. F., Mody I. Glutamatergic Synapses onto Hippocampal Interneurons: Precision Timing Without Lasting Plasticity. Trends Neurosci. 1999; 22: 228–235
   PubMed Web of Science ®Google Scholar
• Borbely A. A., Achermann P. Sleep Homeostasis and Models of Sleep Regulation. J. Biol. Rhythms 1999; 14: 557–568
   PubMed Web of Science ®Google Scholar
• Bennington J. H., Heller H. C. Does the Function of REM Sleep Concern Non-REM Sleep or Waking. Prog. Neurobiol. 1994; 44: 433–449
   PubMed Web of Science ®Google Scholar
• van Someren E. J.W. Circadian Rhythms and Sleep in Human Aging. Chronobiol. Int. 2000; 17: 233–243
   PubMed Web of Science ®Google Scholar
• Haase S. B., Reed S. I. Evidence that a Free-Running Oscillator Drives G1 Events in the Budding Yeast Cell Cycle. Nature 1999; 401: 394–397
   PubMed Web of Science ®Google Scholar
• Goldman B. D. The Siberian Hamster as a Model for Study of the Mammalian Photoperiodic Mechanism. Adv. Exp. Med. Biol. 1999; 460: 155–164
   PubMed Web of Science ®Google Scholar
• Saunders D. S. Insect Circadian Rhythms and Photoperiodism. Invert. Neurosci. 1997; 3: 155–164
   PubMedGoogle Scholar
• Thomas B., Vince-Prue D. Photoperiodism in Plants. Academic Press, London 1997
   Google Scholar
• Ma H. Flowering Time: From Photoperiodism to Florigen. Curr. Biol. 1998; 8(19)R690–R692
   Web of Science ®Google Scholar
• Hauenschild C., Fischer A., Hofmann D. K. Untersuchungen am pazifischen Palolowurm Eunice viridis (Polychaeta) in Samoa. Helgoländer wiss. Meeresunters. 1968; 18: 254–295
   Google Scholar
• Olive P. J.W. Environmental Control of Reproduction in Polychaeta; Fortschritte der Zoologie 29. G. Fischer: Stuttgart 1984; 17–38
   Google Scholar
• Idyll C. P. Grunion, the Fish that Spawns on Land. Geographic Mag. 1969; 35: 714–723
   Google Scholar
• Fitch J. E., Lavenberg R. J. Marine Food and Fishes of California. California Press, Berkeley 1971
   Google Scholar
• Lalonde R., Hannequin D. The Neurobiological Basis of Time Estimation and Temporal Order. Rev. Neurosci 1999; 10: 151–173
   PubMed Web of Science ®Google Scholar
• Rensing L., Jaeger N. I. Temporal Order. Springer Verlag, Berlin 1985
   Google Scholar
• Martens U. M., Chavez E. A., Poon S. S., Schmoor C., Landsdorp P. M. Accumulation of Short Telomeres in Human Fibroblasts Prior to Replicative Senescence. Exp. Cell Res. 2000; 256: 291–299
   PubMed Web of Science ®Google Scholar
• Webster N. Webster's New Universal Unabridged Dictionary. Dorsal and Barber, Cleveland, OH 1979
   Google Scholar
• Webster's Second New Riverside Dictionary. Berkeley Books, New York 1984
   Google Scholar
• Nicolis G., Prigogine I. Self-Organization in Nonequilibrium Systems. From Dissipative Structures to Order Through Fluctuations. John Wiley and Sons, New York 1977
   Google Scholar
• Noyes R. M. Kinetics of Complex Reactions. Techniques of Chemistry, E. S. Lewis. John Wiley and Sons, New York 1974; 6, Pt. 1: 489–538
   Google Scholar
• Scott S. K. Oscillations, Waves, and Chaos in Chemical Kinetics. Oxford University Press, Oxford 1994
   Google Scholar
• Franck U. F. Feedback Kinetics in Physicochemical Oscillators. Ber. Bunsenges. Phys. Chem. 1980; 84: 334–341
   Web of Science ®Google Scholar
• Field R. J. Experimental and Mechanistic Characterization of Bromate-Ion-Driven Chemical Oscillations and Traveling Waves in Closed Systems. Oscillations and Traveling Waves in Chemical Systems, R. J. Field, M. Burger. 1st Ed., John Wiley and Sons, New York 1985; 55–92
   Google Scholar
• Ruoff P. Special Issue on Temperature Compensation of Circadian and Ultradian Rhythms. Chronobiol. Int. 1997; 14: 445–536
   PubMed Web of Science ®Google Scholar
• Ruoff P., Behzadi M., Hauglid M., Vinsjevik M., Havås H. pH Homeostasis of the Circadian Sporulation Rhythm in Clock Mutants of Neurospora crassa. Chronobiol. Int. 2000; 17: 733–750
   PubMed Web of Science ®Google Scholar
• Sollberger A. Biological Rhythm Research. Elsevier, Amsterdam 1965
   Google Scholar
• Rensing L. Biologische Rhythmen und Regulation, G. Fischer, Suttgart 1973
   Google Scholar
• Hess B., Boiteux A. Oscillatory Phenomena in Biochemistry. Annu. Rev. Biochem. 1971; 40: 237–258
   PubMed Web of Science ®Google Scholar
• Jankovic J., Fahn S. Physiologic and Pathologic Tremors. Diagnosis, Mechanism and Management. Ann. Intern. Med. 1980; 93: 460–465
   PubMed Web of Science ®Google Scholar
• Mackey M. C., Milton J. G. Dynamical Diseases. Ann. NY Acad. Sci. 1988; 504: 16–32
   Web of Science ®Google Scholar
• Dobson A. P. The Population Biology of Parasite-Induced Changes in Host Behavior. Q. Rev. Biol. 1988; 63: 139–165
   PubMed Web of Science ®Google Scholar
• Sabelli H. C., Carlson-Sabelli L., Javaid J. I. The Thermodynamics of Bipolarity: A Bifurcation Model of Bipolar Illness and Bipolar Character and Its Psychotherapeutic Applications. Psychiatry. 1990; 53: 346–368
   PubMed Web of Science ®Google Scholar
• Gilpin M. E. Limit Cycles in Predator-Prey Communities. Science 1972; 177: 900–904
   PubMed Web of Science ®Google Scholar
• Lodish H., Berk A., Zipursky S. L., Matsudaira P., Baltimore D., Darnell J. Molecular Cell Biology. Freeman, New York 1999
   Google Scholar
• Kamiya N., Allen R. D., Yoshimoto Y. Dynamic Organization of Physarum Plasmodium. Cell. Motil. Cytoskeleton 1988; 16: 107–116
   Google Scholar
• Teplov V. A., Romanovsky Y. M., Latushkin O. A. A Continuum Model of Contraction Waves and Protoplasm Streaming in Strands of Physarum Plasmodium. Bio Systems 1991; 24: 269–289
   PubMed Web of Science ®Google Scholar
• Tominaga T., Allen R. D., Naitoh Y. Cyclic Changes in the Tension of the Contractile Vacuole Complex Membrane Control Its Exocytotic Cycle. J. Exp. Biol. 1998; 210: 2647–2658
   Google Scholar
• Pulvermüller F., Birbaumer N., Lutzenberger W., Mohr B. High-Frequency Brain Activity: Its Possible Role in Attention, Perception and Language Processing. Prog. Neurobiol. 1997; 52: 427–495
   PubMed Web of Science ®Google Scholar
• Sauve K. Gamma Band Synchronous Oscillations: Recent Evidence Regarding Their Functional Significance. Conscious Cogn. 1999; 8: 213–224
   PubMed Web of Science ®Google Scholar
• Klimesch W. EEG Alpha and Theta Oscillations Reflect Cognitive and Memory Performance: A Review and Analysis. Brain Res. Brain Res. Rev. 1999; 29: 169–195
   PubMed Web of Science ®Google Scholar
• Traub R. D., Jefferys J. G., Whittington MA. Functionally Relevant and Functionally Disruptive (Epileptic) Synchronized Oscillations in Brain Slices. Adv. Neurol. 1999; 79: 709–724
   PubMedGoogle Scholar
• Jaffe LF. Organization of Early Development by Calcium Patterns. BioEssays 1999; 21: 657–667
   PubMed Web of Science ®Google Scholar
• Goldbeter A., Dupon G., Halloy J. The Frequency Encoding of Pulsatility. Novartis Found. Symp. 2000; 227: 19–36
   PubMedGoogle Scholar
• Haisenleder D. J., Yastin M., Marshall J. C. Gonadotropin Subunit and Gonadotropin-Releasing Hormone Receptor Gene Expression Are Regulated by Alterations in the Frequency of Calcium Pulsatile Signals. Endocrinology 1997; 183: 5227–5230
   Google Scholar
• Buck J. Synchronous Rhythmic Flashing of Fireflies II. Q. Rev. Biol. 1988; 63: 265–289
   PubMed Web of Science ®Google Scholar
• Hardeland R. Lighting Conditions and Mating Behavior in Drosophila. Am. Naturalist 1971; 105: 198–200
   Web of Science ®Google Scholar
• Halberg F. Physiologic 24h Periodicity, General and Procedural Considerations with Reference to the Adrenal Cycle. Z. Vitamin-, Hormon- and Fermentforsch. 1959; 10: 225–296
   Google Scholar
• Halberg F. Temporal Coordination of Physiologic Functions. Cold Spring Harb. Symp. Quant. Biol. 1960; 25: 289–310
   PubMedGoogle Scholar
• Hastings J. W. Unicellular Clocks. Annu. Rev. Microbiol. 1959; 13: 297–312
   Web of Science ®Google Scholar
• Ruoff P., Rensing L. The Temperature-Compensated Goodwin Model Simulates Many Circadian Clock Properties. J. Theor. Biol. 1996; 179: 275–285
   Web of Science ®Google Scholar
• Price J. L. Insights into the Molecular Mechanisms of Temperature Compensation from the Drosophila period and timeless Mutants. Chronobiol. Int. 1997; 14: 455–468
   PubMed Web of Science ®Google Scholar
• Iwasaki H., Kondo T. The Current State and Problems of Circadian Clock Studies in Cyanobacteria. Plant Cell Physiol. 2000; 41: 1013–1020
   PubMed Web of Science ®Google Scholar
• Kondo T., Ishiura M. The Circadian Clock of Cyanobacteria. BioEssays 2000; 22: 10–15
   PubMed Web of Science ®Google Scholar
• Loros J. J. Time at the End of the Millenium: The Neurospora Clock. Curr. Opin. Microbiol. 1998; 1: 698–706
   PubMed Web of Science ®Google Scholar
• Edery J. Role of Posttranscriptional Regulation in Circadian Clocks: Lesson from Drosophila. Chronobiol. Int. 1999; 16: 377–414
   PubMed Web of Science ®Google Scholar
• Gekakis S., Stankis D., Nguyen H. B., Davis F. C., Wilsbacher L. D., King D. P., Takahashi J. S., Weitz C. J. Role of the CLOCK Protein in the Mammalian Circadian Mechanism. Science 1998; 280: 1564–1569
   PubMed Web of Science ®Google Scholar
• Takumi T., Matsubara C., Shigeyoshi Y., Taguchi K., Yagita K., Maebayashi Y., Sakakida Y., Okumura K., Takashima N., Okamura H. A New Mammalian Period Gene Predominantly Expressed in the Suprachiasmatic Nucleus. Genes Cells 1998; 3: 167–176
   PubMed Web of Science ®Google Scholar
• Zylka M., Shearman L., Weaver D., Reppert S. Three period Homologs in Mammals: Differential Light Responses in the Suprachiasmatic Circadian Clock and Oscillating Transcript Outside the Brain. Neuron. 1998; 20: 1103–1110
   PubMed Web of Science ®Google Scholar
• Bae K., Lee C., Sidote C., Chuang K. Y., Edery I. Cicadian Regulation of a Drosophila Homolog of the Mammalian Clock Gene: PER and TIM Function as Positive Regulators. Mol. Cell. Biol. 1998; 18: 6142–6151
   PubMed Web of Science ®Google Scholar
• Gauss R., Seifert R. Pacemaker Oscillations in Heart and Brain: A Key Role for Hyperpolarization-Activated Cation Channels. Chronobiol. Int. 2000; 7: 453–469
   Google Scholar
• Johnson C. H. Forty Years of PRCs—What Have We Learned?. Chronobiol. Int. 1999; 16: 711–743
   PubMed Web of Science ®Google Scholar
• Myers M. P., Wager-Smith K., Rothenfluk-Hilfiker A., Young M. Light-Induced Degradation of TIMELESS and Entrainment of the Drosophila Circadian Clock. Science 1996; 271: 1736–1740
   PubMed Web of Science ®Google Scholar
• Thresher R. J., Vitaterna M. H., Miyamoto Y., Hsu D. S., Kazantsev A., Petit C., Selby C. P., Dawut L., Smithies O., Takahashi J. S., Sancar A. Role of the Mouse Cryptochrome Blue Light Photoreceptor in Circadian Response. Science 1998; 282: 1490–1494
   PubMed Web of Science ®Google Scholar
• Cashmore A. R., Jarillo J. A., Wu Y. J., Liu D. Cryptochromes: Blue Light Repectors for Plants and Animals. Science 1999; 284: 760–765
   PubMed Web of Science ®Google Scholar
• Eide E. J., Virshup D. M. Casein Kinase I. Another Cog in the Circadian Clockworks. Chronobiol. Int. 2001; 18(3), in press
   PubMed Web of Science ®Google Scholar
• Kloss B., Price J. L., Saez L., Blau J., Rothenfluh A., Wesley C. S., Young M. W. The Drosophila Clock Gene double-time Encodes a Protein Closely Related to Human Casein Kinase I Epsilon. Cell 1998; 94: 94–107
   Web of Science ®Google Scholar
• Cermakian N., Sassone-Corsi P. Multilevel Regulation of the Circadian Clock. Nature Rev. Mol. Cell Biol. 2000; 1: 59–67
   PubMed Web of Science ®Google Scholar
• Bell-Pedersen D., Shinohara M., Loros J., Dunlap J. C. Circadian Clock-Controlled Genes Isolated from Neurospora crassa Are Late Night to Early Morning Specific. Proc. Natl. Acad. Sci. USA 1996; 93: 13096–13101
   PubMed Web of Science ®Google Scholar
• Helfrich-Foerster C., Stengl M., Homberg U. Organization of the Circadian System in Insects. Chronobiol. Int. 1998; 15: 567–594
   PubMed Web of Science ®Google Scholar
• Hastings M., Maywood E. S. Circadian Clocks in the Mammalian Brain. BioEssays 2000; 22: 23–31
   PubMed Web of Science ®Google Scholar
• Herzog E. D., Block G. D. Keeping an Eye on Retinal Clocks. Chronobiol. Int. 1999; 16: 229–247
   PubMed Web of Science ®Google Scholar
• Jin X., Shearman L., Weaver D., Zylko M., DeVries G., Reppert S. A Molecular Mechanism Regulating Output from the Suprachiasmatic Circadian Clock. Cell 1999; 96: 57–68
   PubMed Web of Science ®Google Scholar
• Sakamoto K., Nagase T., Fukui H., Horikawa K., Okada T., Tanoka H., Sato K., Miyake Y., Ohara O., Kak K., Ishida N. Multitissue Circadian Expression of Rat Period Homolog (rPer) mRNA Is Governed by the Mammalian Circadian Clock, the Suprachiasmatic Nucleus in the Brain. J. Biol. Chem. 1998; 273: 27039–27042
   PubMed Web of Science ®Google Scholar
• LeSauter J., Silver R. Output Signals of the SCN. Chronobiol. Int. 1998; 15: 535–550
   PubMed Web of Science ®Google Scholar
• Goodwin B. C. Temporal Organization in Cells. Academic Press, London 1963
   Google Scholar
• Goodwin B. C. Oscillatory Behavior in Enzymatic Control Processes. Advances in Enzyme Regulation, G. Weber. Pergamon, OxfordEngland 1965; 3: 25–38
   Google Scholar
• Murray J. D. Mathematical Biology. Springer Verlag, Berlin 1983
   Google Scholar
• Lillo C. Light Regulation of Nitrate Reductase in Green Leaves of Higher Plants. Physiol. Plant. 1994; 90: 616–620
   Web of Science ®Google Scholar
• Deng M. D., Moureaux T., Cherel I., Boputin J. P., Caboche M. Effects of Nitrogen Metabolites on the Regulation and Circadian Expression of Tobacco Nitrate Reductase. Plant Physiol. Biochem. 1991; 29: 239–247
   Web of Science ®Google Scholar
• Lillo C., Meyer C., Ruoff P. The Nitrate Reductase Circadian System. The Central Clock Dogma Contra Multiple Oscillatory Feedback Loops. Plant Physiol. 2001; 125: 1554–1557
   PubMed Web of Science ®Google Scholar
• Ruoff P., Mohsenzadeh S., Rensing L. Circadian Rhythms and Protein Turnover: The Influence of Temperature on the Period Lengths of Clock Mutants Simulated by the Goodwin Oscillator. Naturwissenschaften 1996; 83: 514–517
   PubMed Web of Science ®Google Scholar
• Liu Y., Loros J. J., Dunlap J. C. Phosphorylation of the Neurospora Clock Protein FREQUENCY Determines Its Degradation Rate and Strongly Influences the Period Length of the Circadian Clock. Proc. Natl. Acad. Sci. USA. 2000; 97: 234–239
   PubMed Web of Science ®Google Scholar
• Pittendrigh C. S. Circadian Oscillations in Cells and the Circadian Organization of Multicellular Systems. The Neurosciences Third Study Program, F. O. Schmitt, F. G. Worden. 1st Ed., MIT Press, Cambridge 1974; 437–457
   Google Scholar
• Jewett M. E., Borbély A. A., Czeisler C. A. Sleep Regulations and Neurobehavioral Function in Humans. J. Biol. Rhythms 1999; 14: 429–630
   PubMedGoogle Scholar
• Lakin-Thomas P. L., Coté G. G., Brody S. Circdian Rhythms in Neurospora crassa: Biochemistry and Genetics. Crit. Rev. Microbiol. 1990; 17: 365–416
   Google Scholar
• Ruoff P., Vinsjevik M., Monnerjahn C., Rensing L. The Goodwin Oscillator: On the Importance of Degradation Reactions in the Circadian Clock. J. Biol. Rhythms 1999; 14: 469–479
   PubMed Web of Science ®Google Scholar
• Ruoff P., Vinsjevik M., Monnerjahn C., Rensing L. The Goodwin Model: Simulating the Effect of Light Pulses on the Circadian Sporulation Rhythm of Neurospora crassa. J. Theoret. Biol. 2001; 209: 29–42
   PubMed Web of Science ®Google Scholar
• Winfree A. T. The Geometry of Biological Time. Springer Verlag, Berlin 1980
   Google Scholar
• Olde-Scheper T., Klinkenberg D., Pennartz C., van Pelt J. A Mathematical Model for the Intracellular Circadian Rhythm Generator. J. Neurosci 1999; 19: 40–47
   PubMed Web of Science ®Google Scholar
• Hong C. I., Tyson J. J. A Proposal for Temperature Compensation of the Circadian Rhythm in Drosophila Based on Dimerization of the PER Protein. Chronobiol. Int. 1997; 14: 521–530
   PubMed Web of Science ®Google Scholar
• Leloup J. C., Goldbeter A. Temperature Compensation of Circadian Rhythms: Control of the Period in a Model for Circadian Oscillations of the PER Protein in Drosophila. Chronobiol. Int. 1997; 14: 511–520
   PubMed Web of Science ®Google Scholar
• Gonze D., Leloup J. C., Goldbeter A. Theoretical Models for Circadian Rhythms in Neurospora and Drosophila. C. R. Acad. Sci. (Paris), Sciences de la vie. 2000; 323: 57–67
   PubMed Web of Science ®Google Scholar
• Tyson J. J., Hong C. I., Thron D., Novak B. A Simple Model of Circadian Rhythms Based on Dimerization and Proteolysis of PER and TIM. Biophys. J. 1999; 2411–2417
   PubMed Web of Science ®Google Scholar
• Ruoff P. Introducing Temperature Compensation in Any Reaction Kinetic Oscillator Model. J. Interdiscipl. Cycle Res. 1992; 23: 92–99
   Web of Science ®Google Scholar
• Rábai G., Hanazaki I. Temperature Compensation in the Oscillatory Hydrogen Peroxide-Thiosulfate-Sulfite Flow System. Chem. Commun. 1999; 1965–1966
   Web of Science ®Google Scholar
• Clarke D. J., Gimenez-Abian J. F. Checkpoints Controlling Mitosis. BioEssays 2000; 22: 351–363
   PubMed Web of Science ®Google Scholar
• Elledge S. Cell Cycle Checkpoints: Preventing an Identity Crisis. Science 1996; 274: 1664–1671
   PubMed Web of Science ®Google Scholar
• Stillman B. Cell Cycle Control of DNA Replication. Science 1996; 724: 1659–1663
   Google Scholar
• Johnson D. G. Schneider-Broussard, R. Role of E2F in Cell Cycle Control and Cancer. Front. Biosci. 1998; 3: 447–458
   PubMedGoogle Scholar
• Johnson D. G., Walker C. L. Cyclins and Cell Cycle Checkpoints. Annu. Rev. Pharmacol. Toxicol. 1999; 39: 295–312
   PubMed Web of Science ®Google Scholar
• Endicott J. A., Noble M. E., Tucker J. A. Cyclin-Dependent Kinases: Inhibition and Substrate Recognition. Curr. Opin. Struct. Biol. 1999; 9: 738–744
   PubMed Web of Science ®Google Scholar
• Novak B., Töth A., Csikász-Nagy A., Gyórffy B., Tyson J. J., Nasmyth K. Finishing the Cell Cycle. J. Theor. Biol. 1999; 199: 223–233
   PubMed Web of Science ®Google Scholar
• Tyson J., Garcia-Herdugo G., Sachsenmaier W. Control of Nuclear Division in Physarum polycephalum. Exp. Cell Res. 1979; 119: 87–98
   PubMed Web of Science ®Google Scholar
• Kühl N. M., Rensing L. Heat Shock Effects on Cell Cycle Progression. Cell Mol. Life Sci. 2000; 57: 450–463
   Web of Science ®Google Scholar
• Kühl N. M., Kunz J., Rensing L. Heat-Induced Arrests in Different Cell Cycle Phases of Rat C6-Glioma Cells Are Attenuated in Heat Shock-Primed Thermotolerant Cells. Cell Prolif. 2000; 33: 147–166
   PubMed Web of Science ®Google Scholar
• Bjarnason G. A., Jordan R. Circadian Variation of Cell Proliferation and Cell Cycle Protein Expression in Man: Clinical Implications. Prog. Cell Cycle Res. 2000; 4: 193–206
   PubMedGoogle Scholar
• Puri P. L., MacLachlan T. H., Levrero M., Giordano A. The Intrinsic Cell Cycle: From Yeast to Mammals. In: The Molecular Basis of Cell Cycle and Growth Control, G. S. Stein, R. Baserga, A. Giordano, D. T. Denhardt. 1st Ed., Wiley-Liss, New York 1999; 15–79
   Google Scholar
• Hyver C., LeGuayader H. MPF and Cyclin: Modelling of the Cell Cycle Minimum Oscillator. Biosystems 1990; 24: 85–90
   PubMed Web of Science ®Google Scholar
• Norel R., Agur Z. A Model for the Adjustment of the Mitotic Clock by Cyclin and MPF Levels. Science 1991; 251: 1076–1078
   PubMed Web of Science ®Google Scholar
• Tyson J. J. Modeling the Cell Division Cycle: cdc2 and Cyclin Interactions. Proc. Natl. Acad. Sci. USA. 1991; 88: 7328–7332
   PubMed Web of Science ®Google Scholar
• Novak B., Tyson J. J. Modeling the Cell Division Cycle: M-Phase Trigger, Oscillations, and Size Control. J. Theor. Biol. 1993; 165: 101–134
   Web of Science ®Google Scholar
• Novak B., Tyson J. J. Numerical Analysis of a Comprehensive Model of M-Phase Control in Xenopus Oocytes Extracts and Intact Embryos. J. Cell Sci. 1993; 106: 1153–1168
   PubMed Web of Science ®Google Scholar
• Goldbeter A. Biochemical Oscillations and Cellular Rhythms. The Molecular Bases of Periodic and Chaotic Behaviour. Cambridge University Press, Cambridge 1996
   Google Scholar
• Gardner T. S., Dolnik M., Collins J. J. A Theory for Controlling Cell Cycle Dynamics Using a Reversibly Binding Inhibitor. Proc. Natl. Acad. Sci. USA 1998; 95: 14190–14915
   PubMed Web of Science ®Google Scholar
• Obeyesekere M. N., Zimmerman S. O., Tecarro E. S., Auchmuty G. A Model of Cell Cycle Behavior Dominated by Kinetics of a Pathway Stimulated by Growth Factors. Bull. Math. Biol. 1999; 61: 917–934
   PubMed Web of Science ®Google Scholar
• Goldbeter A. A Minimal Cascade Model for the Mitotic Oscillator Involving Cyclin and cdc2 Kinase. Proc. Natl. Acad. Sci. USA 1991; 88: 9107–9111
   PubMed Web of Science ®Google Scholar
• Hayflick L. The Cell Biology of Human Aging. Sci. Am. 1980; 242: 58–65
   PubMed Web of Science ®Google Scholar
• Cech T. R. Leben am Ende der Chromosomen: Telomere und Telomerase. Angew. Chem. 2000; 112: 34–44
   Google Scholar
• Levy M. Z., Allsopp R. C., Futcher A. G., Greider C. W., Harley C. B. Telomere End-Replication Problem and Cell Aging. J. Mol. Biol. 1992; 225: 951–960
   PubMed Web of Science ®Google Scholar
• Lingner J., Cech T. R. Telomerase and Chromosome End Maintenance. Curr. Opin. Gen. Dev. 1998; 8: 226–232
   PubMed Web of Science ®Google Scholar
• von Zglinicki T., Pilger R., Sitte N. Accumulation of Single-Strand Breaks Is the Major Cause of Telomere Shortening in Human Fibroblasts. Free Radic. Biol. Med. 2000; 28: 64–74
   PubMed Web of Science ®Google Scholar
• Harley C. B. Telomere Loss: Mitotic Clock or Genetic Time Bomb. Mutat. Res. 1991; 256: 271–282
   PubMed Web of Science ®Google Scholar
• Ohmura H., Tahara H., Suzuki M., Ide T., Shimizu M., Yoshida M. A., Tahara E., Shay J. W., Barrett J. C., Oshimura M. Restoration of the Cellular Senescence Program and Repression of Telomerase by Human Chromosome 3. Jpn. J. Cancer Res. 1995; 86: 899–904
   PubMedGoogle Scholar
• Bodnar A. G., Ouellette M., Frolkis M., Holt S. E., Chiu C. P., Morin G. B., Harley C. B., Shay J. W., Lichtsteiner S., Whright W. E. Extension of Life-Span by Introduction of Telomerase into Normal Human Cells. Science 1998; 279: 349–352
   PubMed Web of Science ®Google Scholar
• Yegorov Y. E., Chernov D. N., Akimov S. S., Bolsheva N. L., Krayevsky A. A., Zelenin A. V. Reverse Transcriptase Inhibitors Suppress Telomerase Function and Induce Senescence Like Processes in Cultured Mouse Fibroblasts. FEBS Lett. 2000; 389: 115–118
   Google Scholar
• Wyllie F. S., Jones C. J., Skinner J. W., Haughton M. F., Wallis C., Wynford- Thomas D., Faragher R. G., Kipling D. Telomerase Prevents the Accelerated Cell Aging of Werner Syndrome Fibroblasts. Nature Genet. 2000; 24: 16–17
   PubMed Web of Science ®Google Scholar
• Kim N. W., Piatyszek M. A., Prowse K. R., Harley C. B., West M. D., Ho P. L., Coviello G. M., Wright W. E., Weinrich S. L., Shay J. W. Specific Association of Human Telomerase Activity with Immortal Cells and Cancer. Science 1994; 266: 2011–2015
   PubMed Web of Science ®Google Scholar
• Nakamura T. M., Morin G. B., Chapman K. B., Weinrich S. L., Andrews W. H., Lingner J., Harley C. B., Cech T. R. Telomerase Catalytic Subunit Homologs from Fission Yeast and Human. Science 1997; 277: 955–999
   PubMed Web of Science ®Google Scholar
• Nugent C. I., Lundblad V. The Telomerase Reverse Transcriptase: Components and Regulation. Genes Dev. 1998; 12: 1073–1085
   PubMed Web of Science ®Google Scholar
• MacKintosh C., Douglas P., Lillo C. Identification of a Protein that Inhibits the Phosphorylated Form of Nitrate Reductase from Spinach (Spinacia oleracea) Leaves. Plant Physiol. 1995; 107: 451–457
   PubMed Web of Science ®Google Scholar