Abstract
What is a physical system for describing dynamics of biological systems? A candidate is a non-equilibrium dissipative system with asymmetric interaction. A minimal model formulated with Newtonian equation of particles in such a system is presented and analyzed mathematically and numerically. Through the investigations of models, we show general properties in such systems.
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Bando, M., Hasebe, K., Nakayama, A., Shibata, A., Sugiyama, Y.: Dynamical Model of Traffic Congestion and Numerical Simulation. Phys. Rev. E 51, 1035–1042 (1995); Japan J. of Ind. and Appl. Math. 11, 203–223 (1994)
Sugiyama, Y.: Dynamical Model for Congestion of Freeway Traffic and its Structural Stability. In: Wolf, D.E., Schreckenberg, M., Bachem, A. (eds.) Proceedings of International Workshop of Traffic and Granular Flow in Juelich, pp. 137–149. World Scientific, Singapore (1996)
Nakayama, A., Sugiyama, Y., Hasebe, K.: Effect of looking at the car that follows in an optimal velocity model of traffic flow. Phys. Rev. EÂ 65, 016112 (2001)
Sugiyama, Y., Yamada, H.: Simple and Exactly Solvable Model for Queue Dynamics. Physical Review E 55, 7749–7752 (1997)
Sugiyama, Y., Masuoka, K., Ishida, T.: in preparation
Mitarai, N., Nakanishi, H.: Spatiotemporal Structure of Traffic Flow in a System with an Open Boundary. Phys. Rev. Lett. 85, 1766–1769 (2000)
Sugiyama, Y., Nakayama, A.: Modeling, simulation and observations for freeway traffic and pedestrians. In: Emmerich, H., Nestler, B., Schreckenberg, M. (eds.) Computational Physics of Transport and Interface Dynamics, pp. 406–421. Springer, Heidelberg (2003)
Akiyama, R., Watanabe, H., Sugiyama, Y.: in preparation
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Sugiyama, Y. (2009). Asymmetric Interaction in Non-equilibrium Dissipative System towards Dynamics for Biological System. In: Suzuki, Y., Hagiya, M., Umeo, H., Adamatzky, A. (eds) Natural Computing. Proceedings in Information and Communications Technology, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-88981-6_17
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DOI: https://doi.org/10.1007/978-4-431-88981-6_17
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-88980-9
Online ISBN: 978-4-431-88981-6
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