Modelling spatio-temporal dynamics of circadian rythms in Neurospora crassa

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We derive a new model of circadian oscillations in Neurospora crassa, which is suitable to analyze both temporal and spatial dynamics of proteins responsible for mechanism of rythms. The model is based on the non-linear interplay between proteins FRQ and WCC which are products of transcription of frequency and white collar genes forming a feedback loop comprised both positive and negative elements. The main component of oscillations mechanism is supposed to be time-delay in biochemical reactions of transcription. We show that the model accounts for various features observed in Neurospora’s experiments such as entrainment by light cycles, phase shift under light pulse, robustness to action of fluctuations and so on. Wave patterns excited during spatial development of the system are studied. It is shown that the wave of synchronization of biorythms arises under basal transcription factors.

Keywords: time-delay, stochastic systems, circadian rythms, gene regulation
Citation in English: Bratsun D.A., Zakharov A.P. Modelling spatio-temporal dynamics of circadian rythms in Neurospora crassa // Computer Research and Modeling, 2011, vol. 3, no. 2, pp. 191-213
Citation in English: Bratsun D.A., Zakharov A.P. Modelling spatio-temporal dynamics of circadian rythms in Neurospora crassa // Computer Research and Modeling, 2011, vol. 3, no. 2, pp. 191-213
DOI: 10.20537/2076-7633-2011-3-2-191-213
According to Crossref, this article is cited by:
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  • Dmitry Anatolievich Bratsun, Alexey V. Zyuzgin. Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part II. Control of fluid equilibrium. // Computer Research and Modeling. 2012. — V. 4, no. 2. — P. 369. DOI: 10.20537/2076-7633-2012-4-2-369-389
  • Dmitry Anatolievich Bratsun, Andrey Pavlovich Zakharov, Len M. Pismen. Multiscale mathematical modeling occurrence and growth of a tumour in an epithelial tissue. // Computer Research and Modeling. 2014. — V. 6, no. 4. — P. 585. DOI: 10.20537/2076-7633-2014-6-4-585-604
  • Dmitry Anatolievich Bratsun, Eugeny Sergeevich Lorgov, Alexander Olegovich Poluyanov. Repressilator with time-delayed gene expression. Part I. Deterministic description. // Computer Research and Modeling. 2018. — V. 10, no. 2. — P. 241. DOI: 10.20537/2076-7633-2018-10-2-241-259
  • Andrey Pavlovich Zakharov, Dmitry Anatolievich Bratsun. Synchronization of circadian rhythms in the scale of a gene, a cell and a whole organism. // Computer Research and Modeling. 2013. — V. 5, no. 2. — P. 255. DOI: 10.20537/2076-7633-2013-5-2-255-270
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