- Theoretical and Computational Physics
- Stochastic processes and statistical mechanics
- Advanced Algebra and Geometry
- Random Matrices and Applications
- Algebraic Geometry and Number Theory
- Advanced Thermodynamics and Statistical Mechanics
- Endoplasmic Reticulum Stress and Disease
- Markov Chains and Monte Carlo Methods
- Quantum many-body systems
- Algebraic structures and combinatorial models
- Complex Network Analysis Techniques
- Quantum Mechanics and Applications
- Black Holes and Theoretical Physics
- Analytic Number Theory Research
- Pancreatic function and diabetes
- Cosmology and Gravitation Theories
- Autophagy in Disease and Therapy
- Numerical methods for differential equations
- Advanced Combinatorial Mathematics
- Statistical Mechanics and Entropy
- Galaxies: Formation, Evolution, Phenomena
- Schizophrenia research and treatment
- Geometry and complex manifolds
- Mathematical Dynamics and Fractals
- Finite Group Theory Research
Tsuda University
2014-2023
Tokyo Denki University
2018
Osaka University
2018
The University of Tokyo
1984-2016
National Institutes of Natural Sciences
2016
National Astronomical Observatory of Japan
2016
Washington University in St. Louis
2012-2015
Kyushu University
2008-2015
Daiichi-Sankyo (Japan)
2012-2014
University of Massachusetts Chan Medical School
2012
A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the universality and scaling observed in a numerical study of gravitational collapse radiation fluid. In particular, it shown that critical exponent $\ensuremath{\beta}$ largest Lyapunov $\mathrm{Re}\ensuremath{\kappa}$ perturbation related by $\ensuremath{\beta}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}(\mathrm{Re}\ensuremath{\kappa}{)}^{\ensuremath{-}1}$. We find relevant mode...
Wolfram syndrome is a genetic disorder characterized by diabetes and neurodegeneration considered as an endoplasmic reticulum (ER) disease. Despite the underlying importance of ER dysfunction in identification two causative genes, 1 (WFS1) 2 (WFS2), molecular mechanism linking to death neurons β cells has not been elucidated. Here we implicate calpain cell syndrome. Calpain negatively regulated WFS2, elevated activation WFS2-knockdown correlates with death. also induced high cytosolic...
It has been established that intracellular calcium homeostasis is critical for survival and function of pancreatic β-cells. However, the role endoplasmic reticulum (ER) in β-cell death not clear. Here we show ER depletion plays a death. Various pathological conditions associated with death, including stress, oxidative palmitate, chronic high glucose, decreased levels sarcoendoplasmic Ca2+-ATPase 2b expression, leading to Ectopic expression mutant insulin genetic ablation WFS1, causative gene...
We used an unbiased genome-wide approach to identify exonic variants segregating with diabetes in a multigenerational Finnish family. At least eight members of this family presented age diagnosis ranging from 18 51 years and pattern suggesting autosomal dominant inheritance. sequenced the exomes four affected performed follow-up genotyping additional unaffected members. uncovered novel nonsynonymous variant (p.Trp314Arg) Wolfram syndrome 1 (WFS1) gene that segregates completely diabetic...
We prove two theorems concerning the time evolution in general isolated quantum systems. The are relevant to issue of scale approach equilibrium. first theorem shows that there can be pathological situations which relaxation takes an extraordinarily long time, while second one always choose equilibrium subspace, requires only a short for any initial state.
The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for example, because it to conflict with the time-reversibility of microscopic dynamics. We here prove in a quantum system typical choice "nonequilibrium subspace", any initial state indeed thermalizes, and does so very quickly, on order Boltzmann time $\tau_\mathrm{B}:=h/(k_\mathrm{B}T)$. Therefore what needs be explained is, not equilibrium, but they do slowly.
We consider spread-out models of self-avoiding walk, bond percolation, lattice trees and animals on ${\mathbb{Z}^d}$, having long finite-range connections, above their upper critical dimensions $d=4$ (self-avoiding walk), $d=6$ (percolation) $d=8$ (trees animals). The two-point functions for these are respectively the generating function walks from origin to $x \in {\mathbb{Z}^d}$, probability a connection 0 x, or containing x. use lace expansion prove that sufficiently dimension, each model...
We consider nearest-neighbor self-avoiding walk, bond percolation, lattice trees, and animals on ℤd. The two-point functions of these models are respectively the generating function for walks from origin to x∈ℤd, probability a connection x, trees or containing x. Using lace expansion, we prove that at critical point is asymptotic const.|x|2−d as |x|→∞, d≥5 d≥19 sufficiently large d animals. These results complementary those [Ann. Probab. 31 (2003) 349–408], where spread-out were considered....
We prove the existence of an asymptotic expansion in inverse dimension, to all orders, for connective constant self-avoiding walks on ℤ d . For critical point, defined as reciprocal constant, coefficients are computed through order −6 , with a rigorous error bound −7 Our method computing terms also applies percolation, and nearest-neighbour independent Bernoulli bond percolation gives 1/ -expansion point −3 −4 The uses lace expansion.
Lipoproteins are present in a wide variety of bacteria and anchored to membranes through lipids attached the N-terminal cysteine. The Lol system Escherichia colimediates membrane-specific localization lipoproteins. Aspartate at position 2 functions as avoidance signal causes retention lipoproteins inner membrane, whereas having residues other than aspartate released from membrane localized outer by system. Phospholipid:apolipoprotein transacylase, Lnt, catalyzes last step lipoprotein...
Escherichia coli lipoproteins are localized to either the inner or outer membrane depending on residue at position 2. The retention signal, Asp 2 in combination with certain residues 3, functions as a Lol avoidance i.e. signal inhibits recognition of by LolCDE that releases from membrane. To understand role 2, membrane-specific Cys were subjected chemical modification followed release reaction reconstituted proteoliposomes. Sulfhydryl-specific introduction nonprotein molecules negative...
For independent nearest-neighbour bond percolation on Z^d with d >> 6, we prove that the incipient infinite cluster's two-point function and three-point converge to those of integrated super-Brownian excursion (ISE) in scaling limit. The proof is based an extension new expansion for derived a previous paper, involves treating magnetic field as complex variable. A special case our result implies probability cluster origin consists n sites, at critical point, given by multiple n^{-3/2}, plus...
We use the lace expansion to prove that in five or more dimensions standard self-avoiding walk on hypercubic (integer) lattice behaves many respects like simple random walk.In particular, it is shown leading asymptotic behaviour of number «-step walks purely exponential, mean square displacement asymptotically linear steps, and scaling limit Gaussian, sense convergence distribution Brownian motion.Some related facts are also proved.These results optimal, according widely believed conjecture...
The absorption spectra of aqueous solutions following cobalt complexes were determined: [Co(phen)3]Cl3, [Co(phen)3]Cl2, Co(phen)2Cl2, Co(phen)Cl2. Some correlations between the structures compounds and discussed. Absorption curves trisphenanthroline Fe(II), Fe(III), Ni Zn also shown for reference.