Switching between oscillations and homeostasis in competing negative and positive feedback motifs

Journal of Theoretical Biology

Volumn 307, Issue , 2012, Pages 205-210

  Li, Weihan ^a,b   Krishna, Sandeep ^c   Pigolotti, Simone ^d   Mitarai, Namiko ^a   Jensen, Mogens H ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^d UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Circadian rhythm; Negative feedback; Noise; Oscillation; Positive feedback

Indexed keywords

BIFURCATION; HOMEOSTASIS; NOISE; NUMERICAL MODEL; OSCILLATION;

ARTICLE; CIRCADIAN RHYTHM; DROSOPHILA; HOMEOSTASIS; INTRINSIC NOISE; NEGATIVE FEEDBACK; NOISE; NONHUMAN; OSCILLATION; POSITIVE FEEDBACK; PRIORITY JOURNAL; REGULATORY MECHANISM; SIMULATION; STOCHASTIC MODEL;

ANIMALS; COMPUTER SIMULATION; DROSOPHILA MELANOGASTER; FEEDBACK, PHYSIOLOGICAL; HOMEOSTASIS; MODELS, BIOLOGICAL; SIGNAL TRANSDUCTION; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 84862891916     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.04.011     Document Type: Article

References (18)

1. Gillespie D.T. Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. 1977, 81:2340-2361.
2. Gonze D., Halloy J., Goldbeter A. Robustness of circadian rhythms with respect to molecular noise. Proc. Natl. Acad. Sci. 2002, 99:673-678.
3. Honma S., Honma K.I. Light-induced uncoupling of multioscillatory circadian system in a diurnal rodent, Asian chipmunk. Am. J. Physiol. Regul. Integrative Comp. Physiol. 1999, 276:1390-1396.
4. Izhikevich E.M. Neural excitability, spiking, and bursting. Int. J. Bifurcation Chaos 2000, 10:1171-1266.
5. Krishna S., Semsey S., Jensen M.H. Frustrated bistability as a means to engineer oscillations in biological systems. Phys. Biol. 2009, 6:036009.
6. Leloup J.C., Goldbeter A. A model for circadian rhythms in drosophila incorporating the formation of a complex between the PER and TIM proteins. J Biol. Rhythms 1998, 13:70-87.
7. Leloup J.C., Goldbeter A. A molecular explanation for the long-term suppression of circadian rhythms by a single light pulse. Am. J. Physiol. Regul. Integrative Comp. Physiol. 2001, 280:R1206-R1212.
8. Leloup J.C., Gonze D., Goldbeter A. Limit cycle models for circadian rhythms based on transcriptional regulation in drosophila and neurospora. J. Biol. Rhythms 1999, 14:433-448.
9. Loinger A., Biham O. Stochastic simulations of the repressilator circuit. Phys. Rev. E 2007, 76:051917.
10. Magnitskii N.A., Sidorov S.V. New Methods for Chaotic Dynamics 2006, World Scientific Publishing Company.
11. Pfeuty B., Thommen Q., Lefranc M. Robust entrainment of circadian oscillators requires specific phase response curves. Biophys. J. 2011, 100:2557.
12. Pfeuty B., Kaneko K. The combination of positive and negative feedback loops confers exquisite flexibility to biochemical switches. Phys. Biol. 2009, 6:046013.
13. Pigolotti S., Krishna S., Jensen M.H. Oscillation patterns in negative feedback loops. Proc. Natl. Acad. Sci. 2007, 104:6533-6537.
14. Schuster S., Marhl M., Hofer T. Modelling of simple and complex calcium oscillations. Eur. J. Biochem. 2002, 269:1333-1355.
15. Tiana G., Krishna S., Pigolotti S., Jensen M.H., Sneppen K. Oscillations and temporal signalling in cells. Phys. Biol. 2007, 4:45719-3.
16. Tsai T.Y.C., Choi Y.S., Ma W., Pomerening J.R., Tang C., Ferrell J.E. Robust, tunable biological oscillations from interlinked positive and negative feedback loops. Science 2008, 321:126-129.
17. Ukai H., Kobayashi T.J., Nagano M., Masumoto K.H., Sujino M., Kondo T., Yagita K., Shigeyoshi Y., Ueda H.R. Melanopsin-dependent photo-perturbation reveals desynchronization underlying the singularity of mammalian circadian clocks. Nat. Cell Biol. 2007, 9:1327-1334.
18. Winfree A.T. The Geometry of Biological Time 1980, Springer, New York.