We investigate dynamical systems and differential equations arising from natural phenomena, specially from ecology. There are two approaches to our studies. At first we try to solve the equations (if possible) and investigate the nature of their solutions. However it is difficult to directly solve the equations in general. So we develop new mathematical tools and try to get essential information from the equations. Yoshida investigates differential equations, specially the system of equations describing chemotactic aggregation of cellular slime molds which move towards high concentrations of chemical substance. Nakaki studies differential equations concerning vortex problems and moving boundary problems. Irie investigates the complex system. Hiraoka studies dynamical systems.
Key words: Elliptic Partial Differential Equation, Morphogenesis in Dictyostelium, Deterministic Chaos
![[Dictyostelium1]](./image/dd1.gif)
![[Dictyostelium3]](./image/dd3.gif)
Pictures from The Dictyostelium Virtual Library and R. Chisholm, Northwestern University
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Professor |
Partial Differential Equation |
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Professor |
Differential Equation |
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Associate Professor |
Nonlinear Science, Biomathematics |
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Assistant Professor |
Dynamical Systems |
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Hiroshima
University
Graduate School of
Science
Department of
Mathematical and Life Sciences
Faculty of Integrated
Arts and Sciences
Information Media Center
Graduate School of Engineering
Graduate School of
Biosphere Sciences