253 citations · 3k across the 163 of their papers we have counts for
11 papers · 1 filter
On a Condition for Intracellular Adaptive Dynamics for Chemotaxis
Masayo Inoue, Kunihiko Kaneko
Microorganisms often perform chemotaxis, (i.e., sensing and moving toward a region with a higher concentration of an attractive chemical) by changing the rate of tumbling for rando…
On the Distribution of State Values of Reproducing Cells: the General Evolution Equation and its Applications
Katsuhiko Sato, Kunihiko Kaneko
Fluctuations of cell state, e.g., abundances of some proteins, have attracted much attention both theoretically and experimentally. The distribution of such state over cells, howev…
Turing Pattern with Proportion Preservation
Shuji Ishihara, Kunihiko Kaneko
Although Turing pattern is one of the most universal mechanisms for pattern formation, in its standard model the number of stripes changes with the system size, since the wavelengt…
Collective motion in a Hamiltonian dynamical system
Hidetoshi Morita, Kunihiko Kaneko
Oscillation of macroscopic variables is discovered in a metastable state in the Hamiltonian dynamical system of mean field XY model, the duration of which is divergent with the sys…
Diversity as a product of interspecial interactions
Daniel Lawson, Henrik Jeldtoft Jensen, Kunihiko Kaneko
We demonstrate diversification rather than optimisation for highly interacting organisms in a well mixed biological system by means of a simple model and reference to experiment, a…
Evolutionary origin of power-laws in Biochemical Reaction Network; embedding abundance distribution into topology
Chikara Furusawa, Kunihiko Kaneko
The evolutionary origin of universal statistics in biochemical reaction network is studied, to explain the power-law distribution of reaction links and the power-law distributions…
On Recursive Production and Evolvabilty of Cells: Catalytic Reaction Network Approach
Kunihiko Kaneko
To unveil the logic of cell from a level of chemical reaction dynamics, we need to clarify how ensemble of chemicals can autonomously produce the set of chemical, without assuming…
Inter-Intra Molecular Dynamics as an Iterated Function System
Kunihiko Kaneko
The dynamics of units (molecules) with slowly relaxing internal states is studied as an iterated function system (IFS) for the situation common in e.g. biological systems where the…
Ubiquity of Log-normal Distributions in Intra-cellular Reaction Dynamic
Chikara Furusawa, Takao Suzuki, Akiko Kashiwagi +2
The discovery of two fundamental laws concerning cellular dynamics with recursive growth is reported. First, the chemical abundances measured over many cells are found to obey a lo…
Pattern dynamics in a two-dimensional gas discharge system : Intermittent collapse and recreation, moving of spots, dynamic change of clusters
Takeshi Sugawara, Kunihiko Kaneko
Reaction-diffusion equation model for a 2-dimensional gas discharge system is introduced in close relationship with the recent experiment by Nasuno. The model shows formation of sp…
Discreteness-Induced Transitions in Autocatalytic Systems
Yuichi Togashi, Kunihiko Kaneko
To study the dynamics of chemical processes, we often adopt rate equations to observe the change in chemical concentrations. However, when the number of the molecules is small, the…