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Introduction to Focus Issue: Dynamics in Systems Biology
1.R. Thul and S. Coombes, “Understanding cardiac alternans: A piecewise linear modelling framework,” Chaos 20, 045102 (2010).
2.V. S. Petrov, G. V. Osipov, and J. Kurths, “Fibroblasts alter spiral wave stability,” Chaos 20, 045103 (2010).
3.E. Harvey, V. Kirk, H. M. Osinga, J. Sneyd, and M. Wechselberger, “Understanding anomalous delays in a model of intracellular calcium dynamics,” Chaos 20, 045104 (2010).
4.A. Raue, V. Becker, U. Klingmüller, and J. Timmer, “Identifiability and observability analysis for experimental design in nonlinear dynamical models,” Chaos 20, 045105 (2010).
5.V. K. Chandrasekar, J. H. Sheeba, and M. Lakshmanan, “Pathological mass synchronization in the brain: Occurrence and its control,” Chaos 20, 045106 (2010).
6.C. Finke, J. A. Freund, E. Rosa, H. Braun, and U. Feudel, “On the role of subthreshold currents in the Huber-Braun cold receptor model,” Chaos 20, 045107 (2010).
7.P. Morant, Q. Thommen, B. Pfeuty, C. Vandermoere, F. Corellou, F-Y Bouget, and M. Lefranc, “A robust two-gene oscillator at the core of Ostreococcus tauri circadian clock,” Chaos 20, 045108 (2010).
8.C. Gérard and A. Goldbeter, “From simple to complex patterns of oscillatory behavior in a model for the mammalian cell cycle containing multiple oscillatory circuits,” Chaos 20, 045109 (2010).
9.P. Rué, T. Pons, N. Domedel-Puig, and J. Garcia-Ojalvo, “Relaxation dynamics and frequency response of a noisy cell signaling network,” Chaos 20, 045110 (2010).
10.A. Koseska and J. Kurths, “Topological structures enhance the presence of dynamical regimes in synthetic networks,” Chaos 20, 045111 (2010).
11.V. P. Zhdanov, “Hierarchical genetic networks and non-coding RNAs,” Chaos 20, 045112 (2010).
12.X. Wan, S. M. Cai, J. Zhou, and Z. Liu, “Emergence of modularity and disassortativity in protein-protein interaction networks,” Chaos 20, 045113 (2010).
13.M. Li, X. Wang, and C. Lai, “Evolution of functional subnetworks in complex systems,” Chaos 20, 045114 (2010).
14.M. Schütte, A. Skupin, D. Segre, and O. Ebenhöh, “Modeling the complex dynamics of enzyme-pathway coevolution,” Chaos 20, 045115 (2010).
15.X. Ni, W. Wang, R. Yang, Y. -C. Lai, and C. Grebogi, “Basins of coexistence and extinction in spatially extended ecosystems of cyclically competing species,” Chaos 20, 045116 (2010).
16.J. Slipantschuk and E. Ullner, M. da silva Baptista, M. Zeineddine, and M. Thiel, “Abundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity,” Chaos 20, 045117 (2010).
17.P. Neri, “Stochastic characterization of small-scale algorithms for human sensory processing,” Chaos 20, 045118 (2010).
18.M. Komarov, G. V. Osipov, and M. S. Burtsev, “Adaptive functional systems: Learning with chaos,” Chaos 20, 045119 (2010).
19.M. R. Domingo-Sananes and B. Novak, “Different effects of redundant feedback loops on a bistable switch,” Chaos 20, 045120 (2010).
20.D. Schittler and J. Hasenauer, F. AllgÃwer, and S. Waldherr, “Cell differentiation modeled via a coupled two-switch regulatory network,” Chaos 20, 045121 (2010).
21.S. Günther and K. Kruse, “Spontaneous sarcomere dynamics,” Chaos 20, 045122 (2010).
22.J. Geddes, R. Carr, F. Wu, Y. Lao, and M. Maher, “Blood flow in microvascular networks: A study in nonlinear biology,” Chaos 20, 045123 (2010).
23.A. Suhrbier, M. Riedl, H. Malberg, T. Penzel, G. Bretthauer, J. Kurths, and N. Wessel, “Cardiovascular regulation during sleep quantified by symbolic coupling traces,” Chaos 20, 045124 (2010).
24.Y. Hirata, M. Di Bernardo, N. Bruchovsky, and K. Aihara, “Hybrid optimal scheduling for intermittent androgen suppression of prostate cancer,” Chaos 20, 045125 (2010).
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The methods of nonlinear systems form an extensive toolbox for the study of biology, and systems biology provides a rich source of motivation for the development of new mathematical techniques and the furthering of understanding of dynamical systems. This Focus Issue collects together a large variety of work which highlights the complementary nature of these two fields, showing what each has to offer the other. While a wide range of subjects is covered, the papers often have common themes such as “rhythms and oscillations,” “networks and graph theory,” and “switches and decision making.” There is a particular emphasis on the links between experimental data and modeling and mathematical analysis.
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