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Title:  Arnold Tongues in Cell Dynamics

 

Speaker:Prof. Mogens H. Jensen
                  Niels Bohr Institute, University of Copenhagen, Denmark

Address: Rm 101, East wing of Old Chemistry Building, Peking Unversity 

 

Chair:  Prof. Chao Tang,  Center for Quantitative Biology 

 

 

Abtract:

 

Oscillating genetic patterns have been observed in networks related to the transcription factors NF-κB, p53 and Hes1 [1].  We have identified the central feed-back loops leading to oscillations. By applying an external periodic signal, it is possible to lock the internal oscillation to the external signal. For the NF-κB systems in single cells we have observed that the two signals lock when the ration between the two frequencies is close to basic rational numbers [2]. The resulting response of the cell can be mapped out as Arnold tongues. When the tongues start to overlap we may observe a chaotic dynamics of the concentration in NF-κB [2,3]. The group of Savas Tay (ETH, Zurich) has in single cell dynamics of the NF-κB system observed transitions from one tongue to the other when they overlap. We investigate this effect by Gillespie simulations and find interesting time correlation for the transitions probabilities when switching from one tongue to the other.

 

[1] B. Mengel, A. Hunziker, L. Pedersen, A. Trusina, M.H. Jensen and S. Krishna, "Modeling oscillatory control in NF-κB, p53 and Wnt signaling", Current Opinion in Genetics and Development 20, 656-664  (2010).

[2] M.H. Jensen and S. Krishna, "Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli", FEBS Letters 586, 1664-1668 (2012).

[3] N. Mitarai, U. Alon and M.H. Jensen, "Entrainment of linear and non-linear systems under noise", Chaos 23, 023125 (2013).

 

 Mogens H. Jensen is a Professor of Biophysics and Comples Systems, at the Niels Bohr Institute, University of Copenhagen. He is Head of Biocomplexity Section and is Secretary General, Royal Danish Academy of Science and Letters. He received his PhD under supervision of Prof. P. Bak in 1984 and was a post doc with Prof. L. Kadanoff at University of Chicago. He has published 230 papers and has received the Physics Prize of Norway in 2011 and the Ole Roemer Prize, the Royal Danish Academy of Sciences in 1993.