We investigate which plane curves admit rational families of quasi-toric relations. This extends previous results Takahashi and Tokunaga in the positive case author negative case.

There are many examples of branching networks in biology. Examples include the structure of plants and trees as well as cardiovascular and bronchial systems. In many cases these networks are self-similar and exhibit fractal scaling. In this paper we introduce the Tokunaga taxonomy for the side branching of networks and his parameterization of self-similar side-branching. We introduce several ex...

genetic basis of cellular differentiation in higher organisms can be studied TE:ifferent levels: (a) at the molecular level, limiting the study to changes in the process of cellular metabolism and physiology (e.g., studies of GALL and CALLAN. see CALLAN 1963; DAVIDSON et al. 1965; BEERMANN 1964,1965; PAVAN 1965; SCHULTZ 1965; CLEVER 1966) or to differential protein realization (PAIGEN and GANSC...

Makoto Tokunaga,∗1,∗2 Toshiaki Suzuki,∗1 Nobuaki Koga,∗3 Tomoaki Fukushima,∗4 Akira Horiuchi,∗4 Markus Eckert,∗1 Mitsuru Ota,∗5 Masa-aki Haga,∗5 Tomoko Honda,∗2 and Yasuo Wakatsuki∗1 ∗1Organometallic Chemistry Laboratory, RIKEN ∗2PRESTO, Japan Science and Technology Corporation (JST) ∗3Graduate School of Human Informatics, Nagoya University ∗4Department of Chemistry, Rikkyo University ∗5Departm...

Yogesh P. Wairkar,1 Hirofumi Toda,2,3 Hiroaki Mochizuki,3 Katsuo Furukubo-Tokunaga,3 Toshifumi Tomoda,2 and Aaron DiAntonio1 1Department of Developmental Biology, Washington University in St. Louis, St. Louis, Missouri 63110, 2Division of Neurosciences, Beckman Research Institute of the City of Hope, Duarte, California 91010, and 3Graduate School of Life and Environmental Sciences, University o...