pasteuria penetrans is a bacterial parasite of some plant parasite of nematodes whichcan attach to the cuticle of nematode. differences in attachment of p. penetrans spores to the second stag juvenile (j2) cuticle may provide evidence for nematode cuticle diversity even between different ages of j2s. for investigating this purpose, we studied the effect of different ages of the same population ...

Heegaard Floer homology was introduced by Ozsváth and Szabó [16]. For nullhomologous knots, there is a filtered version of Heegaard Floer homology, called knot Floer homology; see Ozsváth and Szabó [14] and Rasmussen [18]. Basically, if one knows the information about the knot Floer homology of a knot, then one can compute the Heegaard Floer homology of any manifold obtained by Dehn surgery on ...

In this article we examine the conjecture of Neumann and Reid that the only hyperbolic knots in the 3-sphere which admit hidden symmetries are the figure-eight knot and the two dodecahedral knots. Knots whose complements cover hyperbolic reflection orbifolds admit hidden symmetries, and we verify the Neumann-Reid conjecture for knots which cover small hyperbolic reflection orbifolds. We also sh...

In the course of the previous study entitled " Chronological Study of Enamel Knot with Special Reference to Mitoses in Enamel Knot" the present author noticed the presence of (1) specific spindle cells with nuclei stained darkly with hematoxylin in the vicinity of the enamel knot as well as (2) small granules or globular substances of brownish black or yellowish brown in color in the enamel kno...

We study the dynamics of a knot in a semiflexible polymer confined to a narrow channel of width comparable to the polymers' persistence length. Using a combination of Brownian dynamics simulations and a coarse-grained stochastic model, we characterize the coupled dynamics of knot size variation and knot diffusion along the polymer, which ultimately leads to spontaneous unknotting. We find that ...

Applications such as suturing in medical simulations require the modeling of knot tying in physically realistic rope. The paper describes the design and implementation of such a system. Our model uses a spline of linear springs, adaptive subdivision and a dynamics simulation. Collisions are discrete event simulated and follow the impulse model. Although some care must be taken to maintain stabl...

The authors describe a novel suture fixation technique that combines a doubled suture with a sliding knot. The knot can be tied in both open and arthroscopic surgery to fix torn tendons/ligaments and fractured/osteotomized bones. The advantages of the doubled-suture Nice knot include strength, adjustability, simplicity, and versatility. This technique, which has proven useful in the authors' pr...

This is a report on our ongoing research on a combinatorial approach to knot recognition, using coloring of knots by certain algebraic objects called quandles. The aim of the paper is to summarize the mathematical theory of knot coloring in a compact, accessible manner, and to show how to use it for computational purposes. In particular, we address how to determine colorability of a knot, and p...

The knotting probability is defined by the probability with which an N -step self-avoiding polygon (SAP) with a fixed type of knot appears in the configuration space. We evaluate these probabilities for some knot types on a simple cubic lattice. For the trivial knot, we find that the knotting probability decays much slower for the SAP on the cubic lattice than for continuum models of the SAP as...

We prove that the class of topological knot types that are both Legendrian simple and satisfy the uniform thickness property (UTP) is closed under cabling. An immediate application is that all iterated cabling knot types that begin with negative torus knots are Legendrian simple. We also examine, for arbitrary numbers of iterations, iterated cablings that begin with positive torus knots, and es...