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*Neuroscience and Biological Information Processing [#md796902] We have theoretically studied neural network models [1-3] and developed new methods to analyze real data of neuronal spikes [4-6] for understanding information processing and various behaviors in living systems. We are also collaborating with other laboratories performing experiments on nervous activities [7]. Moreover, we are constructing a basic methodology for realizing a novel computation device by using information processing schemes of living systems [8]. + Y. Kakimoto and K. Aihara, New Math. and Natural Comput., Vol.5, No. 1, pp.123-134 (2009). + T. Kanamaru and K. Aihara, Neural Comput., Vol.22, No.5, pp.1383-1398 (2009). + S. Kubota, K. Hamaguchi, and K. Aihara, Neural Computing and Applications, Vol.18, No.6, pp.591-602 (2009). + K. Fujiwara and K. Aihara, J. Artificial Life and Robotics, Vol.13, No.2, pp.470-473 (2009). + K. Fujiwara and K. Aihara, European Phys. J. B, Vol.68, No.2, pp.283-289 (2009). + Y. Hirata and K. Aihara, J. Neurosci. Methods, Vol.183, No.2, pp.277-286 (2009). + H. Mushiake, K. Sakamoto, N. Saito, T. Inui, and K. Aihara, Int. Review of Neurobiology, Vol.85, pp.1-11 (2009). + H. Tanaka, T. Morie, and K. Aihara, IEICE Trans. Fund. Electron. Comm. Comput. Sci., Vol.E92-A, No.7, pp.1096-1098 (2009). *Mathematical Research on Information Processing of the Brain and Nervous Systems [#id80162d] *Nonlinear Dynamical Systems and its Applications [#c84d3134] The aim of our research on nonlinear science is to understand the essence of complex behaviors through mathematical modelling and analyses of nonlinear systems. The topics of our research include coupled oscillators [1,2], game theory [3,4], complex networks [5], recurrence plots [6], and hybrid dynamical systems [7]. We are also trying to develop a new method to address determinism and nonlinearity of real systems and applying them to data analysis of wind profile [8], gray-scale image restoration [9], pattern analysis of partial discharges, and economic data analysis. + I. Nishikawa, N. Tsukamoto, and K. Aihara, Physica D, Vol.238, pp.1197-1202 (2009). + Y. Hirata, M. Aono, and K. Aihara, Chaos, Vol.20, 013117 (2010). + B. Wang, Y. Han, L. Chen, and K. Aihara, Phys. Lett. A, Vol.373, pp.1519-1523 (2009). + K. Hashimoto and K. Aihara, J. Theor. Biol., Vol.258, pp.637-645 (2009). + H. Fan, Z. Wang, L. Chen, and K. Aihara, Phys. Rev. E, Vol.79, 026107 (2009). + Y. Hirata and K. Aihara, Phys. Rev. E, Vol.81, 016203 (2009). + G. Tanaka, S. Tsuji, and K. Aihara, Phys. Lett. A, Vol.373, pp.3134-3139 (2009). + D. Mandic, S. Javidi, A. Kuh, and K. Aihara, Renewable Energy, Vol.34, No.1, pp.196-201 (2009). + G. Tanaka and K. Aihara, IEEE Trans, Neural Networks, Vol.20, No.9, pp.1463-1473 (2009). We study nervous systems from mathematical viewpoint and analyze experimental data to understand the information processing in the brain. The topics include nonlinear dynamics of neural network models, mathematical modeling of cognitive processes, and optimal synaptic learning rules. We have also proposed new methods for analyzing experimental data and developed analog computation devices based on mathematical neuronal models. *Mathematical Modeling of Biochemical Systems [#t4a56ead] We have constructed mathematical models and developed methods for analyzing experimental images and data to understand quantitative features of cell development and differentiation. We have clarified mechanisms and roles of stochastic fluctuations in cell systems [1,2] and elucidated the mechanism of circadian rhythms related to jet lag syncrome [3]. Moreover, we perform theoretical studies on oscillations signal transductions in biomolecular networks [4-7]. + H. Tozaki, T. J. Kobayashi, et al., FEBS Letter, Vol.582, No.7, pp.1067-1072 (2008). + H. Okano, T. J Kobayashi, et al., Biophys. J., Vol.95, pp.1063-1074 (2008). + H. Ukai, T. J. Kobayashi, et al., Nature Cell Biology, Vol.9, No.11, pp.1327—1334 (2007). + R. Wang, C. Li, L. Chen, and K. Aihara, Proc. IEEE, Vol.96, No.8, pp.1361-1385 (2008). + X.-M. Zhao, R.-S. Wang, L. Chen, and K. Aihara, Nucleic Acids Res., Vol.36, No.9, e48 (2008). + X.-M. Zhao, R.-S. Wang, L. Chen, and K. Aihara, Journal of Bioinformatics and Computational Biology, Vol.7, No.2, pp.309-322 (2009). +L. Chen, R. Wang, C. Li, and K. Aihara, [[Modeling Biomolecular Networks in Cells: Structures and Dynamics>../../発表文献/書籍リスト/Modeling Biomolecular Networks in Cells]], Springer (2010). *Mathematical Modeling of Diseases [#kb74e6ec] We have been studied mathematical modeling of diseases that should be addressed emergently. Especially, we aim at understanding the essential mechanism and the origin of a disease and proposing a possible effective approach to avoid or treat the disease. We have constructed mathematical models of prostate cancer and discussed the efficacy of intermittent hormone therapy compared with conventional continuous one [1-6]. We have also developed mathematical methods to predict clinical time series data of the biomarker [7] and optimize the schedule of treatments [8] towards practical applications. Infectious diseases like pandemic flu are the other major topic of our research, for which we have approached with mathematical model analyses [9] and large-scale simulations based on individual-based-models by using person trip data. + A. Ideta, G. Tanaka, T. Takeuchi, and K. Aihara, J. Nonlinear Sci. Vol.18, No.6, 593-614 (2008). + G. Tanaka, K. Tsumoto, S. Tsuji, and K. Aihara, Physica D , Vol.237, No.20, 2616-2627 (2008). + N. Shimada and K. Aihara, Math. Biosci. Vol.214, No.1/2, 134-139 (2008). + Q. Guo, Y. Tao, and K. Aihara, Int. J. Bifur. Chaos, Vol.18, No.12, 3789-3797 (2008). + Y. Tao, Q. Guo, and K. Aihara, J. Nonl. Sci., Vol.20, No.2, pp.219-240 (2010). + G. Tanaka, Y. Hirata, N. Bruchovsky, S. Goldenberg, and K. Aihara, Phil. Trans. R. Soc. A, Vol.368, pp.5029-5044 (2010). + Y. Hirata, N. Bruchovsky, and K. Aihara, J. Theor. Biol., Vol.264, No.2, pp.517-527 (2010). + T. Suzuki, N. Bruchovsky, and K. Aihara, Phil. Trans. R. Soc. A, Vol.368, pp.5045-5059 (2010). + B. Wang, K. Aihara, and B. J. Kim, Phys. Lett. A, Vol.373, pp.3877-3882 (2009). -Recent publications --Y. Katori, K. Sakamoto, N. Saito, J. Tanji, H. Mushiake, and K. Aihara: PLoS Comput. Biol., Vol.7, No.11, e1002266 (2011). --Y. Sato and K. Aihara: PLoS ONE, Vol.6, No.4, e19377 (2011). --M. Oku and K. Aihara: NOLTA, IEICE, Vol.2, No.4, pp.508-521 (2011). *Nonlinear Systems Analysis and Its Applications to the Real World Systems [#i4e9d478] We study a variety of complex dynamical phenomena in the real world through mathematical modeling and analyses based on nonlinear dynamical systems theory and time series analysis methods. The topics include hybrid dynamical systems, coupled oscillators, game theory, complex networks, recurrence plots, and associative memories. We have also analyzed real data related to weathers, biological systems, economical systems, social systems, earthquakes, and electrical grids. -Recent publications --G. Tanaka, K. Morino, and K. Aihara: Sci. Rep., Vol.2, No.232, pp.1-6 (2012). --K. Iwayama, Y. Hirata, K. Takahashi, K. Watanabe, K. Aihara, and H. Suzuki: Sci. Rep., Vol.2, No.423, pp.1-5 (2012). --K. Morino, G. Tanaka, and K. Aihara: Phys. Rev. E, Vol.83, No.5, 056208 (2011). --Y. Hirata and K. Aihara: Int. J. Bifurc. Chaos, Vol.21, No.4, pp.1077-1084 (2011). --Y. Hirata, Y. Shimo, H. L. Tanaka, and K. Aihara: SOLA, Vol.7, pp.33-36 (2011). --Y. Hirata and K. Aihara: Physica A, Vol.391, No.3, pp.760-766 (2011). --L. Cao, H. Ohtsuki, B. Wang, and K. Aihara: J. Theor. Biol., Vol.272, No.1, pp.8-15 (2011). *Mathematical Modelling of Diseases [#r984bfe1] To understand diseases such as cancers and infectious diseases for which effective therapies and preventions have not yet been established, we are trying to make mathematical models and propose effective countermeasures for the diseases. We have investigated the efficacy of intermittent hormone therapy for prostate cancer using time series analysis and bifurcation analysis. We have also developed a system for a large-scale simulation of spread of pandemic flu by using person trip data. -Recent publications --L. Chen, R. Liu, Z.-P. Liu, M. Li, and K. Aihara: Sci. Rep., Vol.2, No.342, pp.1-8 (2012). --Y Hirata, G. Tanaka, N. Bruchovsky, and K. Aihara: Asian J. Androl., Vol.14, pp.270--277 (2012). --B. Wang, L. Cao, H. Suzuki, and K. Aihara: J. Phys. A, Vol.44, No.3, 035101 (2011). --L. Cao, X. Li, B. Wang, and K. Aihara: Phys. Rev. E, Vol.84, No.4, 041936 (2011). --H. Kuramae, Y. Hirata, Ni. Bruchovsky, K. Aihara, and H. Suzuki: Chaos, Vol.21, No.4, 043121-1-12 (2011).