Skip to main content
Top

2014 | OriginalPaper | Chapter

Deterministic Modeling Spatio-Temporal Dynamics of Delay-Induced Circadian Oscillations in Neurospora crassa

Authors : Dmitry Bratsun, Andrey Zakharov

Published in: ISCS 2013: Interdisciplinary Symposium on Complex Systems

Publisher: Springer Berlin Heidelberg

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We propose a spatially extended deterministic model with time delay for the circadian oscillations in the fungal species Neurospora crassa. The temporal behavior of the system is governed by a two variable model based on the nonlinear interplay between the FRQ and WCC proteins which are products of transcription of frequency and white collar genes. We show numerically that the model accounts for various features observed in experiments. Spatio-temporal protein patterns excited in Neurospora in complete darkness are studied for different initial conditions. It is shown that basal activation of transcription factors has a strong effect on pattern formation.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference 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 97, 234–239 (2000)CrossRef 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 97, 234–239 (2000)CrossRef
2.
go back to reference Bratsun, D., Volfson, D., Hasty, J., Tsimring, L.S.: Delay-induced stochastic oscillations in gene regulation. Proc. Natl. Acad. Sci. USA 102, 14593–14598 (2005)CrossRef Bratsun, D., Volfson, D., Hasty, J., Tsimring, L.S.: Delay-induced stochastic oscillations in gene regulation. Proc. Natl. Acad. Sci. USA 102, 14593–14598 (2005)CrossRef
3.
go back to reference Bratsun, D.A., Volfson, D.N., Hasty, J., Tsimring, L.S.: Non-Markovian processes in gene regulation. Proc. SPIE 5845, 210–219 (2005)CrossRef Bratsun, D.A., Volfson, D.N., Hasty, J., Tsimring, L.S.: Non-Markovian processes in gene regulation. Proc. SPIE 5845, 210–219 (2005)CrossRef
4.
go back to reference Pittendrigh, C.S., Bruce, V.G., Rosenzweig, N.S., Rubin, M.L.: A biological clock in Neurospora. Nature 184, 169–170 (1959)CrossRef Pittendrigh, C.S., Bruce, V.G., Rosenzweig, N.S., Rubin, M.L.: A biological clock in Neurospora. Nature 184, 169–170 (1959)CrossRef
5.
go back to reference Lakin-Thomas, P.L., Brody, S.: Circadian rhythms in microorganisms: new complexities. Annu. Rev. Microbiol. 58, 489–519 (2004)CrossRef Lakin-Thomas, P.L., Brody, S.: Circadian rhythms in microorganisms: new complexities. Annu. Rev. Microbiol. 58, 489–519 (2004)CrossRef
6.
go back to reference Smolen, P., Baxter, D.A., Byrne, J.H.: Modeling circadian oscillations with interlocking positive and negative feedback loops. J. Neurosci. 21, 6644–6656 (2001) Smolen, P., Baxter, D.A., Byrne, J.H.: Modeling circadian oscillations with interlocking positive and negative feedback loops. J. Neurosci. 21, 6644–6656 (2001)
7.
go back to reference Sriram, K., Gopinathan, M.S.: A two variable delay model for the circadian rhythm of Neurospora crassa. J. Theor. Biol. 231, 23–38 (2004)CrossRefMathSciNet Sriram, K., Gopinathan, M.S.: A two variable delay model for the circadian rhythm of Neurospora crassa. J. Theor. Biol. 231, 23–38 (2004)CrossRefMathSciNet
8.
go back to reference Bratsun, D., Zakharov, A.: Adaptive numerical simulations of reaction-diffusion systems with history and time-delayed feedback. In Sanayei, A., Zelinka, I., Rössler, O.E. (eds.) ISCS 2013. Emergence, Complexity and ComputationPrague, vol. 8, pp. 1–11. Springer, Heidelberg (2014) Bratsun, D., Zakharov, A.: Adaptive numerical simulations of reaction-diffusion systems with history and time-delayed feedback. In Sanayei, A., Zelinka, I., Rössler, O.E. (eds.) ISCS 2013. Emergence, Complexity and ComputationPrague, vol. 8, pp. 1–11. Springer, Heidelberg (2014)
9.
go back to reference Bratsun, D., Zakharov, A.: Modeling spatio-temporal dynamics of circadian rhythms in Neurospora crassa. Comput. Res. Model. 3, 191–213 (2011) (Russian) Bratsun, D., Zakharov, A.: Modeling spatio-temporal dynamics of circadian rhythms in Neurospora crassa. Comput. Res. Model. 3, 191–213 (2011) (Russian)
Metadata
Title
Deterministic Modeling Spatio-Temporal Dynamics of Delay-Induced Circadian Oscillations in Neurospora crassa
Authors
Dmitry Bratsun
Andrey Zakharov
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-45438-7_18

Premium Partner