A5037321972- Advanced Differential Geometry Research
- Geometric Analysis and Curvature Flows
- Cosmology and Gravitation Theories
- Fixed Point Theorems Analysis
- Black Holes and Theoretical Physics
- Diabetes, Cardiovascular Risks, and Lipoproteins
- Marine Ecology and Invasive Species
- Point processes and geometric inequalities
- Diabetes Treatment and Management
- Developmental Biology and Gene Regulation
- Liver Disease Diagnosis and Treatment
- Diabetes Management and Research
- Metabolism, Diabetes, and Cancer
- Fibroblast Growth Factor Research
- Relativity and Gravitational Theory
- Geometry and complex manifolds
- Microtubule and mitosis dynamics
- Dermatological and Skeletal Disorders
- Dynamics and Control of Mechanical Systems
- Analytic and geometric function theory
- Advanced Optimization Algorithms Research
- Mathematical Inequalities and Applications
- Control and Dynamics of Mobile Robots
- Advanced Mathematical Theories and Applications
- Noncommutative and Quantum Gravity Theories
Tokai University
2013-2023
Sapporo University
2020-2023
Prince of Songkla University
2023
King Mongkut's Institute of Technology Ladkrabang
2015-2020
Sapporo Minami Hospital
2020
Kyoto University
2019
University College London
2015
Hokkaido University of Education
2007
Tokyo Metropolitan University
2002
The Kosambi-Cartan-Chern (KCC) theory represents a powerful mathematical method for the analysis of dynamical systems.In this approach, one describes evolution system in geometric terms, by considering it as geodesic Finsler space.By associating non-linear connection and Berwald-type to system, five geometrical invariants are obtained, with second invariant giving Jacobi stability system.The (in)stability is natural generalization flow on differentiable manifold endowed metric (Riemannian or...
We further investigate the dark energy model based on Finsler geometry inspired osculating Barthel-Kropina cosmology. The cosmological approach is introduction of a Barthel connection in an geometry, with having property that it Levi-Civita Riemannian metric. From generalized Friedmann equations model, obtained by assuming background metric Friedmann-Lemaitre-Robertson-Walker type, effective geometric component can be generated, effective, type pressure, satisfying linear barotropic equation...
Abstract Background Gastric cancer is the third most common malignancy affecting general population worldwide. Aberrant activation of KRAS a key factor in development many types tumor, however, oncogenic mutations are infrequent gastric cancer. We have developed novel quantitative method analysis DNA copy number, termed digital genome scanning (DGS), which based on enumeration short restriction fragments, and does not involve PCR or hybridization. In current study, we used DGS to survey...
Abstract Finsler geometry is an important extension of Riemann geometry, in which each point the spacetime manifold associated with arbitrary internal variable. Two interesting geometries many physical applications are Randers and Kropina type geometries. A subclass represented by osculating spaces, variable a function base coordinates only. In we introduce Barthel connection, remarkable property that it Levi–Civita connection Riemannian metric. present work consider gravitational...
We characterize the differentiable points of distance function from a closed subset $N$ an arbitrary dimensional Finsler manifold in terms number $N$-segments. In case 2-dimensional manifold, we prove structure theorem cut locus $N$, namely that it is local tree, made countably many rectifiable Jordan arcs except for endpoints and intrinsic metric can be introduced its induced topologies coincide. should point out these are new results even Riemannian manifolds.
The Kosambi-Cartan-Chern (KCC) theory represents a powerful mathematical method for the investigation of properties dynamical systems. KCC introduces geometric description time evolution system, with solution curves system described by methods inspired geodesics in Finsler spaces. is geometrized introducing non-linear connection, which allows construction covariant derivative, and deviation curvature tensor. In any are terms five geometrical invariants, second one giving Jacobi stability...
Abstract We consider dark energy models obtained from the general conformal transformation of Kropina metric, representing an $$(\alpha , \beta )$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> -type Finslerian geometry, constructed as ratio square a Riemannian metric $$\alpha $$ and one-form $$\beta . Conformal symmetries appear in many fields...
We consider a Finslerian-type geometrization of the nonrelativistic quantum mechanics in its hydrodynamical (Madelung) formulation, by also taking into account effects presence electromagnetic fields on particle motion. In Madelung representation, Schr\"odinger equation can be reformulated as classical continuity and Euler equations fluid potential, representing evolution equations. The motion then obtained from Lagrangian similarly to counterpart. After reparametrization Lagrangian, it...
We perform the study of stability cosmological scalar field models, by using Jacobi analysis, or Kosambi-Cartan-Chern (KCC) theory. In KCC approach we describe time evolution cosmologies in geometric terms, performing a "second geometrization", considering them as paths semispray. By introducing non-linear connection and Berwald type associated to Friedmann Klein-Gordon equations, five geometrical invariants can be constructed, with second invariant giving model. obtain all relevant...
A serious disease of the ascidian Halocynthia roretzi has been spread extensively among Korean aquaculture sites. To reveal cause and establish a monitoring system for it, we constructed cDNA microarray spotted with 2,688 cDNAs derived from H. hemocyte libraries to detect genes differentially expressed in hemocytes between diseased non-diseased ascidians. We detected 21 showing increased expression 16 decreased ascidians compared those RT-PCR analyses confirmed that levels encoding astacin,...
The Kosambi-Cartan-Chern (KCC) theory represents a powerful mathematical method for the analysis of dynamical systems. In this approach one describes evolution system in geometric terms, by considering it as geodesic Finsler space. By associating non-linear connection and Berwald type to system, five geometrical invariants are obtained, with second invariant giving Jacobi stability system. (in)stability is natural generalization flow on differentiable manifold endowed metric (Riemannian or...
In the present paper we study structure of cut locus a Randers rotational 2-sphere revolution $(M, F = \alpha+\beta)$. We show that in case when Gaussian curvature surface is monotone along meridian, point $q\in M$ on subarc opposite half bending meridian or antipodal parallel (Theorem 1.1). More generally, not but $q$ equator same equator, any $\widetilde q\in different from poles 1.2). Some examples are also given at last section and some differences with Riemannian pointed out.
We investigate the relation between weighted quasi-metric spaces and Finsler spaces.In particular, we show that induced metric of a Randers space constructed by means an exact one-form is space.We also some geometrical properties these spaces.
The aim of the study was to examine role insulin resistance in etiopathogenesis metabolic syndrome an adult Romanian population using exploratory factor analysis. We analyzed 228 non-diabetic subjects randomized respect age and sex distribution general population. For each patient, age, sex, body mass index (BMI), systolic diastolic blood pressure (SBP, DBP), HDL-cholesterol (HDL), plasma triglycerides (TG), fasting glucose (FPG) were obtained. Factor analysis performed principal component...