50 citations · 81 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
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…