50 citations · 137 across the 14 of their papers we have counts for
14 papers
A mechanical model for diversified insect wing margin shapes
Yukitaka Ishimoto, Kaoru Sugimura
The wings in different insect species are morphologically distinct with regards to their size, outer contour (margin) shape, venation, and pigmentation. The basis of the diversity…
Bubbly vertex dynamics: a dynamical and geometrical model for epithelial tissues with curved cell shapes
Yukitaka Ishimoto, Yoshihiro Morishita
In order to describe two-dimensionally packed cells in epithelial tissues both mathematically and physically, there have been developed several sorts of geometrical models, such as…
2D Lattice Liquid Models
Yukitaka Ishimoto, Takahiro Murashima, Takashi Taniguchi +1
A family of novel models of liquid on a 2D lattice (2D lattice liquid models) have been proposed as primitive models of soft-material membrane. As a first step, we have formulated…
Solving Infinite Kolam in Knot Theory
Yukitaka Ishimoto
In south India, there are traditional patterns of line-drawings encircling dots, called ``Kolam'', among which one-line drawings or the ``infinite Kolam'' provide very interesting…
DNA toroid condensation as analytic solutions
Yukitaka Ishimoto, Norio Kikuchi
It now becomes apparent that condensed DNA toroid which emerges in a poor solvent condition can be realised in the framework of the non-linear sigma model on a line segment. In fac…
Polyakov's String: Twenty Five Years After
Valery Pokrovsky, Alexander Belavin, Alexei Zamolodchikov +1
An International Workshop dedicated to the anniversary of the Polyakov's String (of course today there is no need to remind the meaning and the role of this theory) was held in Che…