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A mathematically scientific study of cyanobacteria’s circadian rhythm based on induced memory by hysteresis structure of covalent modification as self-feedforward auto-control system
Life organisms is a continuum of control systems, which is deeply interested mechanically as well as biologically. For instance, the circadian rhythm is a very useful trait that is naturally and instinctively possessed by life organisms tha
Spectral comparison between the second and the fourth order equations of conservative type with non local terms
By Y. Nishiura and I. Ohnishi Japan J. Indust. Appl. Math. 15 , no. 2, 253 262, (1998) The abstract is the following: We present a spectral comparison theorem between the second and the fourth order equations of conservative type with no
Macroscopic patt ern formation of liquid crystal in kappa carrageenan gel
By T. Narita, I. Ohnishi, M. Tokita, and Y. Oishi Colloids and surfaces A, Vol. 321 (2008) 117 120. The abstract is the following: A macroscopic pattern consisting of liquid crystal layers in hydorgel is self-organized. The pattern forms
Mathematical analysis to an adaptive network of the Plasmodium system
By T. Miyaji, and I. Ohnishi Hokkaido Math. J. Volume 36, Number 2 (2007), 445-465. The abstract is the following: Adaptive networks are emerging a lot of fields of science, recently. In this paper, we consider about a mathematical mode
Symmetry Breaking and Other Phenomena in the Optimization of Eigenvalues for Composite Membranes
By S. Chanillo, D. Grieser, M. Imai, K. Kurata & I. Ohnishi Communications in Mathematical Physics volume 214, pages315–337(2000) The Abstract is the following: We consider the following eigenvalue optimization problem: Given a bounded
Dimension estimate of the global attractor for forced oscillation systems
By Yuji HATTORI, Naoyuki ISHIMURA, Isamu OHNISHI and Makoto UMEKI Japan J. Indu5t. Appl. Math., 10 (1993), 351-366 The abstract is the following: We deal with the largest compact invariant setX for forced oscillation systems. As in the
Dimension estimate of the global attractor for resonant motion of a spherical pendulum
By Isamu Ohnishi Proc. Japan Acad. Ser. A Math. Sci., Volume 68, Number 9 (1992), 302-306. The Abstract is the following: Miles derived a system (SP). It describes the motion of a lightly damped spherical pendulum, which is forced to os
Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term
By Isamu Ohnishi, Yasumasa Nishiura, Masaki Imai, and Y. Matsushita CHAOS VOLUME 9, NUMBER 2 JUNE 1999 The abstract is the following: We are primarily concerned with the variational problem with long-range interaction. This functional re
Standard model of a binary digit of memory with multiple covalent modifications in a cell
By Isamu Ohnishi J. Pur. Appl. Math., Vol.2 No.1 (2018) The abstract is the following: A model system of ordinary differential equations describing cyanobacteria’s circadian rhythm by use of a binary digit of memory induced by multiple
Memory Reinforcement with Scale Effect and its Application to Mutual Symbiosis among Terrestrial Cyanobacteria of Nostochineae, Feather Mosses and Old Trees in Boreal Biome in Boreal Forests
By Isamu Ohnishi Global Science Chronicle, Vol 1(1): 1-7 (2019) The abstract is following: We are concerned with BNF (biological nitrogen fixation) of mutual symbiosis between terrestrial cyanobacteria of Nostochineae and feather mosses
Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system
By Tomoyuki Miyaji, Isamu Ohnishi, Atsushi Tero, and Toshiyuki Nakagaki Int. J. Dynamical Systems and Differential Equations, Vol. 1, No. 3, 2008 The abstract is the following: In this paper we study a mathematical model describing beha