Carcinogenesis is a multistep process characterized by the gradual accumulation of genetic changes that ultimately lead to cancer. These genetic mutations can impart limitless replicative potential to the cancer cells making them immortal. Telomeres are repeat nucleotide sequence TTAGGG that are present at the end of chromosomes. Its functions are to protect the chromosomal ends and to ensur...

Using the potential surface information for (KCl)5 and Ar9 and partition function models introduced in the preceding paper @Ball and Berry, J. Chem. Phys. 109, 8541 ~1998!# we construct a stochastic master equation for each system using Rice–Ramsperger–Kassel–Marcus ~RRKM! theory for transition rates between adjacent minima. We test several model approximations to reactant and transition-state ...

The application of the conventional saddle-point approximation to condensed Bose gases is thwarted by the approach of the saddle-point to the groundstate singularity of the grand canonical partition function. We develop and test a variant of the saddle-point method which takes proper care of this complication, and provides accurate, flexible, and computationally efficient access to both canonic...

Let C be a sequence of multisets of subspaces of a vector space Fq . We describe a practical algorithm which computes a canonical form and the stabilizer of C under the group action of the general semilinear group. It allows us to solve canonical form problems in coding theory, i.e. we are able to compute canonical forms of linear codes, Fq-linear block codes over the alphabet Fqs and random ne...

The partition function of two hard spheres in a hard-wall pore is studied, appealing to a graph representation. The exact evaluation of the canonical partition function and the one-body distribution function in three different shaped pores are achieved. The analyzed simple geometries are the cuboidal, cylindrical, and ellipsoidal cavities. Results have been compared with two previously studied ...

The Nekrasov partition function in supersymmetric quantum gauge theory is mathematically formulated as an equivariant integral over certain moduli spaces of sheaves on a complex surface. In SeibergWitten Theory and Random Partitions, Nekrasov and Okounkov studied these integrals using the representation theory of “vertex operators” and the infinite wedge representation. Many of these operators ...

This article extends recent results on log-Coulomb gases in a $$p$$ -field $$K$$ (i.e., nonarchimedean local field) to those its projective line $$\mathbb{P}^1(K)$$ , where the latter is endowed with $$PGL_2$$ -invariant Borel probability measure and spherical metric. Our first main result an explicit combinatorial formula for canonical partition function of arbitrary charge values. second call...