Akisato Kubo

Mathematical analysis of non-local tumour invasion model and simulations

International Journal of Mathematical and Computational Methods, 3 9-15, Mar, 2018  Peer-reviewed

Mathematical models and simulations of glioblastoma invasion

International Journal of Mathematical Models and Methods in Applied Sciences, 11 107-116, Jun, 2017  Peer-reviewed

Mathematical analysis of glioblastoma invasion models from in vitro experiment

WSEAS Transaction on Mathematics, 16 62-68, Apr, 2017  Peer-reviewed

Nonlinear evolution equations and its application to a tumour invasion model

Advances in Pure Mathematics, 6(12) 878-893, Nov, 2016  Peer-reviewed

MATHEMATICAL ANALYSIS OF A MODEL OF CHEMOTAXIS WITH COMPETITION TERMS

DIFFERENTIAL AND INTEGRAL EQUATIONS, 29(5-6) 441-454, May, 2016  Peer-reviewed

Mathematical Analysis of Tumour Invasion Model with Proliferation and Re-establishment

International journal of mathematical and computational methods, 1 115-119, Mar, 2016  Peer-reviewed

Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to tumour invasion

Dynamical Systems, Differential Equations and Applications, AIMS Proceedings, 733-744, Nov, 2015  Peer-reviewed

Nonlinear evolution equations with strong dissipation and proliferation

Trends in Mathematics, 2 233-241, 2015  Peer-reviewed

Mathematical analysis of glioma invasion in 3D

The Proceedings of The 8th International Conference on Applied Mathematics, Simulation, Modelling, 117-122, 2014  Peer-reviewed

Mathematical analysis of tumour invasion with proliferation model and simulation

WSEAS Transaction of Biology and Biomedicine, 11 165-173, 2014  Peer-reviewed

NONLINEAR EVOLUTION EQUATIONS ASSOCIATED WITH MATHEMATICAL MODELS

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 31 881-890, Sep, 2011  Peer-reviewed

Mathematical analysis of a model of tumour invasion and simulations

International journal of mathematical models and methods in applied sciences, 3(4) 187-194, 2011  Peer-reviewed

Mathematical analysis of some models of tumour growth and simulations

WSEAS Transactions on Biology and Biomedicine, 31-40, 2010  Peer-reviewed

走化性を伴う腫瘍成長モデルとその数理

応用数理, 19(4) 50-64, Dec, 2009  Peer-reviewedInvited

Existence and non-existence of global solutions to initial boundary value problems for nonlinear evolution equations with strong dissipation

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 71(12) E2797-E2806, Dec, 2009  Peer-reviewed

Mathematical models of tumour angiogenesis

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 204(1) 48-55, Jul, 2007  Peer-reviewed

腫瘍による血管新生の数理モデルのある特徴付

第12回交通流のシミュレーションシンポジウム講演集, 45-48, 2007  Invited

Qualitative Characterization of Mathematical Models of Tumour Induced Angiogenesis

Wseas Trans.on Biology and Biomedicine, 7(3) 546-552, 2006  Peer-reviewed

Mathematical models of tumour angiogenesis and simulations

Ko-Kyu-Roku, RIMS, Kyoto University, 135-146, 2006  

血管新生の数理的方法について

数学者のための分子生物学入門, 3 95-103, 2006  Invited

A mathematical approach to Othmer-Stevens model

Wseas Transactions on Biology and Biomedicine, 1(2) 45-50, 2005  Peer-reviewedInvited

Asymptotic behavior of the solution to a parabolic ODE system

Mathematical Sciences and Applications, 22 121-135, 2005  Peer-reviewed

ASYMPTOTIC BEHAVIOR OF THE SOLUTION TO A PARABOLIC ODE SYSTEM MODELING TUMOUR GROWTH

DIFFERENTIAL AND INTEGRAL EQUATIONS, 17(7-8) 721-736, Jul, 2004  Peer-reviewed

Asymptotic behavior of solutions of the mixed problem for semilinear

Comm. on Pure and Appl. Analysis, 3(1) 59-74, 2004  Peer-reviewed

$C^{\infty}$ well posed of the Cauchy problem for quasilinear hyperbolic equations with coefficients non-Lipschitz in $t$ and smooth in $x$

Evolution Equations, Banach center publications 60, Institute of Mathematics, Polish academy, 131-150, 2003  Peer-reviewed

Construction of parametrix for hyperbolic equations with jast oscillationsin non-Lipschitz coefficients

Comunication in Partial Differential equations, 28(7&8), 1471-1502 1471-1502, 2003  Peer-reviewed

Study on the integral equations arising inElectroen ce phal o graphy

Advances in Mathematical Sciences and Applications, 13(1), 273-285 273-285, 2003  Peer-reviewed

Asymptatic be havior of classical solutionc for A Semilinear dissipative wave equations

Nonlinear Analysis, 47, 2527-2537, 2001  Peer-reviewed

脳波を記述する積分方程式について

京都大学数理解析研究所講究録, 12(6), 1-12, 2001  

On the Spherically Symmetric Solution to the Mixed Problem for a Weakly Hyperbolic Equation of Second Order

Publications of the Research Institute for Mathematical Sciences, 35(6) 853-870, 1999  Peer-reviewed

On the existence of a global classical solution of the boundary value problem for square u-mu u+au(m)=0 in the interior domain

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 21(9) 781-795, Jun, 1998  Peer-reviewed

Global existence in time and decay property of solutions of boundsy value problems for semilinear byperbolie equations of second arder in the interior domain

Publications of the research institute for Mathematical Sciences, Kyoto University, 34(1) 75-89, 1998  Peer-reviewed

LOCAL EXISTENCE OF SOLUTIONS FOR THE MIXED PROBLEM OF FULLY NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS

JOURNAL OF DIFFERENTIAL EQUATIONS, 118(2) 380-402, May, 1995  Peer-reviewed

Well posedness for the mixed problems of degenerate hyperbolic equations

Funkcialaj Ekvacioj, 34(1) 95-102, 1991  Peer-reviewed

Mixed problems for singular and degenerate hyperbolic equations

Publ. RIMS, Kyoto University, 23 57-100, 1987  Peer-reviewed

Mixed problems for some weakly hyperbolic second order equations

Mathematica Japonica, 25(5) 721-751, 1984  Peer-reviewed

On the mixed problems for weakly hyperbolic equations of second order

Comm. Partial Differential Equations, 9(9) 889-917, 1984  Peer-reviewed