TANAKA, Yoshitaro

DepartmentDepartment of Complex and Intelligent Systems
Specialized FieldsMathematical Sciences Based on Modeling and Analysis
Subjects in ChargeAnalysis I & II, System and Differential Equation, and Advanced System and Differential Equation
Academic BackgroundPostdoctoral Fellow, Department of Mathematics, Faculty of Science, Hokkaido University
DegreePh.D. in Science, Meiji University (No. 18), March 2016
Personal HistoryPostdoctoral Fellow, Department of Mathematics, Faculty of Science, Hokkaido University, April 2016,
Lecturer in Future University Hakodate, April 2018
Starting Time of EmploymentApril 2018

Research Contents

I am interested in the various patterns observed in nature, and I have studied the mechanisms and mathematical structures behind the phenomena. Motivated by the mechanisms, I have constructed mathematical models, and analyzed them mathematically. In our study, we focus on the pattern formation in animal skins, the geometrical patterns in plants, and the developments of the biological organs. I mainly treat the reaction diffusion systems and nonlocal evolution equations.
https://www.fun.ac.jp/~y-tanaka/

Attractive Factors of My Research

Achievements

Awards
First place, The 11th AIMS Conference Student Paper Competition, in Florida, July 2016
Finalist, The 10th AIMS Conference Student Paper Competition, in Madrid, July 2014,
Excellent poster award, MIMS symposium in Meiji university, in Japan, October 2011,
Best poster award, The 21th Japan Society for Mathematical Biology, in Japan, September in 2011

Major Books and Papers

H. Ninomiya, Y. Tanaka, H. Yamamoto, Reaction-diffusion approximation of nonlocal interactions using Jacobi polynomials, accepted in Japan Journal of Industrial and Applied Mathematics, Springer, 2017
Y. Tanaka, H. Yamamoto, H. Ninomiya, Mathematical approach to nonlocal interactions using a reaction-diffusion system, Development Growth and Differentiation, 59, a special issue: Mathematics, Physics, and Engineering in Biology, pp 388-395 (2017)
H. Ninomiya, Y. Tanaka, H. Yamamoto, Reaction, diffusion and non-local interaction, J. Math. Biol., Springer, 75, 1203–1233 (2017)
Tanaka, Y, Mimura, M, Ninomiya, H: “ A reaction diffusion model for understanding phyllotactic formation”, Japan Journal of Industrial and Applied Mathematics, Springer, 33, pp183-205 (2016)

Message to Students

By using mathematics, we can describe the various phenomena as models, and solve them. Let us study our problems through the mathematical modeling, numerical simulation and analysis.