1. Laboratory for Medical Science Mathematics, Rikagaku Kenkyūjyo Center for Integrative Medical Sciences, Tsurumi, Japan
2. School of Engineering and Physics, University of the South Pacific, Suva, Fiji
3. Department of Medical Science Mathematics, Medical Research Institute, Tokyo Medical and Dental University, Tokyo, Japan
4. Core Research for Evolutionary Science and Technology Program, Japan Science and Technology Agency, Tokyo, Japan