About the Authors

Yasuhiro Kitazoe

To whom correspondence should be addressed. E-mail: kitazoey@kochi-u.ac.jp

Affiliation Center of Medical Information Science, Kochi Medical School, Nankoku, Kochi, Japan

Hirohisa Kishino

Affiliation Graduate School of Agricultural and Life Sciences, University of Tokyo, Tokyo, Japan

Peter J. Waddell

Affiliations Graduate School of Agricultural and Life Sciences, University of Tokyo, Tokyo, Japan, South Carolina Cancer Center (SCCC), University of South Carolina, Columbia, South Carolina, United States of America

Noriaki Nakajima

Affiliation Center of Medical Information Science, Kochi Medical School, Nankoku, Kochi, Japan

Takahisa Okabayashi

Affiliation Center of Medical Information Science, Kochi Medical School, Nankoku, Kochi, Japan

Teruaki Watabe

Affiliation Center of Medical Information Science, Kochi Medical School, Nankoku, Kochi, Japan

Yoshiyasu Okuhara

Affiliation Center of Medical Information Science, Kochi Medical School, Nankoku, Kochi, Japan

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Analyzed the data: HK NN YK TO TW YO. Wrote the paper: HK PW YK. Other: Developed the initial theory and developed the simulations: HK YK. Developed the simulations, added biological/theoretical interpretations and revised the manuscript: PW. Developed the Fortran programs: NN TO TW YO.