Simulation of Drosophila circadian oscillations, mutations, and light responses by a model with VRI, PDP-1, and CLK.

A model of Drosophila circadian rhythm generation was developed to represent feedback loops based on transcriptional regulation of per, Clk (dclock), Pdp-1, and vri (vrille). The model postulates that histone acetylation kinetics make transcriptional activation a nonlinear function of [CLK]. Such a nonlinearity is essential to simulate robust circadian oscillations of transcription in our model and in previous models. Simulations suggest that two positive feedback loops involving Clk are not essential for oscillations, because oscillations of [PER] were preserved when Clk, vri, or Pdp-1 expression was fixed. However, eliminating positive feedback by fixing vri expression altered the oscillation period. Eliminating the negative feedback loop in which PER represses per expression abolished oscillations. Simulations of per or Clk null mutations, of per overexpression, and of vri, Clk, or Pdp-1 heterozygous null mutations altered model behavior in ways similar to experimental data. The model simulated a photic phase-response curve resembling experimental curves, and oscillations entrained to simulated light-dark cycles. Temperature compensation of oscillation period could be simulated if temperature elevation slowed PER nuclear entry or PER phosphorylation. The model makes experimental predictions, some of which could be tested in transgenic Drosophila.

[1]  D. A. Baxter,et al.  Modeling Circadian Oscillations with Interlocking Positive and Negative Feedback Loops , 2001, The Journal of Neuroscience.

[2]  R. D. Lewis,et al.  Light-pulse phase response curves for the locomotor activity rhythm in Period mutants of Drosophila melanogaster , 1994 .

[3]  Adam Claridge‐Chang,et al.  Circadian Regulation of Gene Expression Systems in the Drosophila Head , 2001, Neuron.

[4]  I. Edery,et al.  The Drosophila CLOCK Protein Undergoes Daily Rhythms in Abundance, Phosphorylation, and Interactions with the PER–TIM Complex , 1998, Neuron.

[5]  A Goldbeter,et al.  Temperature compensation of circadian rhythms: control of the period in a model for circadian oscillations of the per protein in Drosophila. , 1997, Chronobiology international.

[6]  S. Kay,et al.  Genome-Wide Expression Analysis in DrosophilaReveals Genes Controlling Circadian Behavior , 2002, The Journal of Neuroscience.

[7]  U. Albrecht Functional Genomics of Sleep and Circadian Rhythm Invited Review: Regulation of mammalian circadian clock genes , 2002 .

[8]  H. Kitano,et al.  Robust oscillations within the interlocked feedback model of Drosophila circadian rhythm. , 2001, Journal of theoretical biology.

[9]  Michael J. McDonald,et al.  Microarray Analysis and Organization of Circadian Gene Expression in Drosophila , 2001, Cell.

[10]  M. Rosbash,et al.  Two Novel doubletime Mutants Alter Circadian Properties and Eliminate the Delay between RNA and Protein inDrosophila , 2000, The Journal of Neuroscience.

[11]  Jeffrey C. Hall,et al.  Mapping of Elements Involved in Regulating Normal Temporal period and timeless RNA Expression Patterns in Drosophila melanogaster , 2002, Journal of biological rhythms.

[12]  Michael W. Young,et al.  A TIMELESS-Independent Function for PERIOD Proteins in the Drosophila Clock , 2000, Neuron.

[13]  D. Sidote,et al.  Circadian Regulation of a Drosophila Homolog of the Mammalian Clock Gene: PER and TIM Function as Positive Regulators , 1998, Molecular and Cellular Biology.

[14]  J. Rihel,et al.  The Drosophila double-timeS Mutation Delays the Nuclear Accumulation of period Protein and Affects the Feedback Regulation of period mRNA , 2001, The Journal of Neuroscience.

[15]  Michael W Young,et al.  Cycling vrille Expression Is Required for a Functional Drosophila Clock , 1999, Cell.

[16]  J. Tyson,et al.  A proposal for temperature compensation of the circadian rhythm in Drosophila based on dimerization of the per protein. , 1997, Chronobiology international.

[17]  K Kume,et al.  Interacting molecular loops in the mammalian circadian clock. , 2000, Science.

[18]  Zuwei Qian,et al.  A light-entrainment mechanism for the Drosophila circadian clock , 1996, Nature.

[19]  Jeffrey C. Hall,et al.  A Mutant Drosophila Homolog of Mammalian Clock Disrupts Circadian Rhythms and Transcription of period and timeless , 1998, Cell.

[20]  M. W. Young,et al.  Light-Induced Degradation of TIMELESS and Entrainment of the Drosophila Circadian Clock , 1996, Science.

[21]  A. Matsumoto,et al.  Chronobiological analysis of a new clock mutant, Toki, in Drosophila melanogaster. , 1994, Journal of neurogenetics.

[22]  I. Edery,et al.  PER and TIM Inhibit the DNA Binding Activity of aDrosophila CLOCK-CYC/dBMAL1 Heterodimer without Disrupting Formation of the Heterodimer: a Basis for Circadian Transcription , 1999, Molecular and Cellular Biology.

[23]  John J. Tyson,et al.  When Time Breaks Down: The Three‐Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias , 1988 .

[24]  C. Pittendrigh,et al.  A differential effect of heavy water on temperature-dependent and temperature-compensated aspects of circadian system of Drosophila pseudoobscura. , 1973, Proceedings of the National Academy of Sciences of the United States of America.

[25]  R. Konopka,et al.  Characterization of Andante, a new Drosophila clock mutant, and its interactions with other clock mutants. , 1991, Journal of neurogenetics.

[26]  R J Konopka,et al.  RECIPROCAL BEHAVIOUR ASSOCIATED WITH ALTERED HOMEOSTASIS AND PHOTOSENSITIVITY OF DROSOPHILA CLOCK MUTANTS , 1989, Journal of neurogenetics.

[27]  D Gonze,et al.  Theoretical models for circadian rhythms in Neurospora and Drosophila. , 2000, Comptes rendus de l'Academie des sciences. Serie III, Sciences de la vie.

[28]  M. Rosbash,et al.  PER protein interactions and temperature compensation of a circadian clock in Drosophila , 1995, Science.

[29]  S. Lowen The Biophysical Journal , 1960, Nature.

[30]  C. Helfrich-Förster Robust circadian rhythmicity of Drosophila melanogaster requires the presence of lateral neurons: a brain-behavioral study of disconnected mutants , 1998, Journal of Comparative Physiology A.

[31]  P. Hardin,et al.  Drosophila CLOCK Protein Is under Posttranscriptional Control and Influences Light-Induced Activity , 2002, Neuron.

[32]  Martin A. Lema,et al.  Delay model of the circadian pacemaker. , 2000, Journal of theoretical biology.

[33]  P. Hardin,et al.  The 69 bp Circadian Regulatory Sequence (CRS) Mediatesper-Like Developmental, Spatial, and Circadian Expression and Behavioral Rescue in Drosophila , 1999, The Journal of Neuroscience.

[34]  U. Albrecht Regulation of Mammalian Circadian Clock Genes , 2001 .

[35]  Michael W. Young,et al.  vrille, Pdp1, and dClock Form a Second Feedback Loop in the Drosophila Circadian Clock , 2003, Cell.

[36]  D. A. Baxter,et al.  A reduced model clarifies the role of feedback loops and time delays in the Drosophila circadian oscillator. , 2002, Biophysical journal.

[37]  Steven M. Reppert,et al.  Rhythmic histone acetylation underlies transcription in the mammalian circadian clock , 2003, Nature.

[38]  A. Sehgal,et al.  Role of Molecular Oscillations in Generating Behavioral Rhythms in Drosophila , 2001, Neuron.

[39]  J. C. Hall,et al.  Expression of the period clock gene within different cell types in the brain of Drosophila adults and mosaic analysis of these cells' influence on circadian behavioral rhythms , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[40]  Paul E. Hardin,et al.  dCLOCK Is Present in Limiting Amounts and Likely Mediates Daily Interactions between the dCLOCK–CYC Transcription Factor and the PER–TIM Complex , 2000, The Journal of Neuroscience.

[41]  M. W. Young,et al.  Phosphorylation of PERIOD Is Influenced by Cycling Physical Associations of DOUBLE-TIME, PERIOD, and TIMELESS in the Drosophila Clock , 2001, Neuron.

[42]  J. Truman,et al.  Sequential Nuclear Accumulation of the Clock Proteins Period and Timeless in the Pacemaker Neurons of Drosophila melanogaster , 2002, The Journal of Neuroscience.

[43]  M. Rosbash,et al.  Temporal phosphorylation of the Drosophila period protein. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[44]  M. Rosbash,et al.  Post‐transcriptional regulation contributes to Drosophila clock gene mRNA cycling , 1997, The EMBO journal.

[45]  Jeffrey C. Hall,et al.  Multiple circadian‐regulated elements contribute to cycling period gene expression in Drosophila , 1997, The EMBO journal.

[46]  P. Hardin,et al.  Interlocked feedback loops within the Drosophila circadian oscillator. , 1999, Science.

[47]  R J Konopka,et al.  Clock mutants of Drosophila melanogaster. , 1971, Proceedings of the National Academy of Sciences of the United States of America.

[48]  Jeffrey C. Hall,et al.  Feedback of the Drosophila period gene product on circadian cycling of its messenger RNA levels , 1990, Nature.

[49]  C S Pittendrigh,et al.  ON TEMPERATURE INDEPENDENCE IN THE CLOCK SYSTEM CONTROLLING EMERGENCE TIME IN DROSOPHILA. , 1954, Proceedings of the National Academy of Sciences of the United States of America.

[50]  P. Ruoff,et al.  Temperature compensation of the circadian period length--a special case among general homeostatic mechanisms of gene expression? , 1997, Chronobiology international.

[51]  Xiangzhong Zheng,et al.  Posttranslational Regulation of Drosophila PERIOD Protein by Protein Phosphatase 2A , 2004, Cell.

[52]  M. W. Young,et al.  Suppression of PERIOD protein abundance and circadian cycling by the Drosophila clock mutation timeless. , 1995, The EMBO journal.

[53]  M. Rosbash,et al.  Temporally regulated nuclear entry of the Drosophila period protein contributes to the circadian clock , 1995, Neuron.

[54]  Michael W Young,et al.  Regulation of Nuclear Entry of the Drosophila Clock Proteins Period and Timeless , 1996, Neuron.

[55]  Michael W Young,et al.  The Drosophila Clock Gene double-time Encodes a Protein Closely Related to Human Casein Kinase Iε , 1998, Cell.

[56]  A. Goldbeter,et al.  A Model for Circadian Rhythms in Drosophila Incorporating the Formation of a Complex between the PER and TIM Proteins , 1998, Journal of biological rhythms.

[57]  D. A. Baxter,et al.  Mathematical Modeling of Gene Networks , 2000, Neuron.

[58]  Takao Kondo,et al.  KaiA-stimulated KaiC phosphorylation in circadian timing loops in cyanobacteria , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[59]  P. Hardin,et al.  Central and peripheral circadian oscillator mechanisms in flies and mammals. , 2002, Journal of cell science.

[60]  I. Edery,et al.  Resetting the Drosophila Clock by Photic Regulation of PER and a PER-TIM Complex , 1996, Science.

[61]  Scott M. Dudek,et al.  VRILLE Feeds Back to Control Circadian Transcription of Clock in the Drosophila Circadian Oscillator , 2003, Neuron.

[62]  S. Kay,et al.  A PERIOD inhibitor buffer introduces a delay mechanism for CLK/CYC‐activated transcription , 2003, FEBS letters.

[63]  L. Vosshall,et al.  Block in nuclear localization of period protein by a second clock mutation, timeless. , 1994, Science.

[64]  H. Gutfreund,et al.  Enzyme kinetics , 1975, Nature.

[65]  Farren J. Isaacs,et al.  Computational studies of gene regulatory networks: in numero molecular biology , 2001, Nature Reviews Genetics.

[66]  S. Kay,et al.  Closing the circadian loop: CLOCK-induced transcription of its own inhibitors per and tim. , 1998, Science.

[67]  A. Goldbeter A model for circadian oscillations in the Drosophila period protein (PER) , 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[68]  M. W. Young,et al.  double-time Is a Novel Drosophila Clock Gene that Regulates PERIOD Protein Accumulation , 1998, Cell.

[69]  H. Iwasaki,et al.  Microbial circadian oscillatory systems in Neurospora and Synechococcus: models for cellular clocks. , 2000, Current opinion in microbiology.