8 citations · 16 across the 8 of their papers we have counts for
8 papers
Turing patterns on non-fluctuating surfaces under mechanical stresses
Fumitake Kato, Hiroshi Koibuchi, Madoka Nakayama +2
This paper presents a numerical study of Turing patterns (TPs) governed by reaction diffusion equations for the activator and the inhibitor on two- and three-dimensional la…
Turing patterns on polymerized membranes: a coarse-grained lattice modelling with internal degree of freedom for polymer direction
F. Kato, H. Koibuchi, E. Bretin +6
We numerically study Turing patterns (TPs) on two-dimensional surfaces with a square boundary in using a surface model for polymerized membranes. The variables used to…
Numerical study of anisotropic diffusion in Turing patterns based on Finsler geometry modeling
Gildas Diguet, Madoka Nakayama, Sohei Tasaki +3
We numerically study the anisotropic Turing patterns (TPs) of an activator-inhibitor system, focusing on anisotropic diffusion by using the Finsler geometry (FG) modeling technique…
Langevin and Navier-Stokes Simulation of Three-Dimensional Protoplasmic Streaming
Shuta Noro, Satoshi Hongo, Shinichiro Nagahiro +5
In this paper, we report the numerical results obtained using the Langevin Navier-Stokes (LNS) simulation of the velocity distribution of three-dimensional (3D) protoplasmic stream…
Langevin Navier-Stokes simulation of protoplasmic streaming by 2D MAC method
Shuta Noro, Satoshi Hongo, Shinichiro Nagahiro +5
We study protoplasmic streaming in plant cells such as chara brauni by simplifying the flow field to a two-dimensional Couette flow with Brownian random motion inside parallel plat…
Necessary and sufficient condition for hysteresis in the mathematical model of the cell type regulation of \textit{Bacillus subtilis}
Sohei Tasaki, Madoka Nakayama, Izumi Takagi +2
The key to a robust life system is to ensure that each cell population is maintained in an appropriate state. In this work, a mathematical model was used to investigate the control…
Stochastic Fluid Dynamics Simulations of the Velocity Distribution in Protoplasmic Streaming
Vladislav Egorov, Olga Maksimova, Irina Andreeva +8
Protoplasmic streaming in plant cells is directly visible in the cases of \textit{Chara corallina} and \textit{Nitella flexilis}, and this streaming is understood to play a role in…
Pattern formation in a diffusion-ODE model with hysteresis
Anna Marciniak-Czochra, Madoka Nakayama, Izumi Takagi
Coupling diffusion process of signaling molecules with nonlinear interactions of intracellular processes and cellular growth/transformation leads to a system of reaction-diffusion…