253 citations · 3k across the 163 of their papers we have counts for
10 papers · 1 filter
Zipf's Law in Gene Expression
Chikara Furusawa, Kunihiko Kaneko
Using data from gene expression databases on various organisms and tissues, including yeast, nematodes, human normal and cancer tissues, and embryonic stem cells, we found that the…
Dynamic Relationship between Diversity and Plasticity of Cell types in Multi-cellular State
Hiroaki Takagi, Kunihiko Kaneko
Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. First, we introduce a new theoretical fr…
Magic Number 7 +- 2 in Globally Coupled Dynamical Systems?
Kunihiko Kaneko
The prevalence of Milnor attractors has recently been reported in a class of high-dimensional dynamical systems. We study how this prevalence depends on the number of degrees of fr…
Coupled map gas: structure formation and dynamics of interacting motile elements with internal dynamics
Tatsuo Shibata, Kunihiko Kaneko
A model of interacting motile chaotic elements is proposed. The chaotic elements are distributed in space and interact with each other through interactions depending on their posit…
Relaxation, the Boltzmann-Jeans Conjecture and Chaos
Naoko Nakagawa, Kunihiko Kaneko
Slow (logarithmic) relaxation from a highly excited state is studied in a Hamiltonian system with many degrees of freedom. The relaxation time is shown to increase as the exponenti…
A Dynamic Mechanism of Energy Conversion to a Mechanical Work
Naoko Nakagawa, Kunihiko Kaneko
We propose a dynamic mechanism of a molecular machine for energy conversion, by considering a simple model describing the dynamics of two components, the head and the chain. After…
From Coupled Dynamical Systems to Biological Irreversibility
Kunihiko Kaneko
In the first half of the paper, some recent advances in coupled dynamical systems, in particular, a globally coupled map are surveyed. First, dominance of Milnor attractors in part…
Kinetic Origin of Heredity in a Replicating System with a Catalytic Network
Kunihiko Kaneko
The origin of heredity is studied as a recursive state in a replicating proto-cell consisting of many molecule species in mutually catalyzing reaction networks. Protocells divide w…
Symbiotic Sympatric Speciation: Compliance with Interaction-driven Phenotype Differentiation from a Single Genotype
Kunihiko Kaneko
A mechanism of sympatric speciation is presented based on the interaction-induced developmental plasticity of phenotypes. First, phenotypes of individuals with identical genotypes…
Dynamical Networks in Function Dynamics
Naoto Kataoka, Kunihiko Kaneko
As a first step toward realizing a dynamical system that evolves while spontaneously determining its own rule for time evolution, function dynamics (FD) is analyzed. FD consists of…