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Some mathematical aspects of the micro-phase separation in diblock copolymers
Stability of singularly perturbed solutions to systems of reaction-diffusion equations
Stability theorem is presented for large amplitude singularly perturbed solutions (SPS) of reactiondiffusion systems on a finite interval. Spectral analysis shows that there exists a unique real…
A skeleton structure of self-replicating dynamics
Double Gyroid Morphology in a Gradient System with Nonlocal Effects
The richness of spatial structures of the diblock copolymer melts is demonstrated by the minimization of a free-energy functional of nonlocal type. The total chain length and the interface thickness…
Minimum-risk path finding by an adaptive amoebal network.
A model for an adaptive-tube network is presented that is in good agreement with the experimental observations and the minimum-risk path is exhibited by the organism, determined by integrating along the path.
Spatio-temporal chaos for the Gray—Scott model
Reliability, validity, and responsiveness of the Japanese version of the patient-rated elbow evaluation
- T. Hanyu, M. Watanabe, H. Ohi
- Psychology, MedicineJournal of orthopaedic science : official journal…
- 1 July 2010
The cross-culturally adaptable PREE into Japanese (PREE-J) represents a reliable, valid, and responsive instrument and has evaluation capacities equivalent to those of the original PREE.
Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- Y. Nishiura
- 1 July 1982
We study the global structure of the set of bifurcating solutions of a class of coupled nonlinear reaction-diffusion systems. Our main result is that when one of the diffusion coefficients is…
Frustrated phases under three-dimensional confinement simulated by a set of coupled Cahn-Hilliard equations.
A set of coupled Cahn-Hilliard equations is numerically studied as a means to find morphologies of diblock copolymers in three-dimensional spherical confinement to find a variety of energy minimizers including rings, tennis balls, Janus balls and multipods.
Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts
Of concern is a modified Mullins-Sekerka model arising in diblock copolymer melts. As the new feature of this system a nonlocal inhomogeneous term is introduced. It is shown that the corresponding…