1. Department of Applied Chemistry, Graduate School of Engineering, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan
2. Department of Applied Chemistry, Graduate School of Technology, Industrial and Social Science, Tokushima University, 2-1 Minamijosanjima, Tokushima 770-8506, Japan
3. Mathematical Modeling Laboratory, Department of Agro-environmental Sciences, Faculty of Agriculture, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan