Is it possible to extract the size and structure of chromosomal territories (confined domain) from the encounter frequencies of chromosomal loci? To answer this question, we estimate the mean time for two monomers located on the same polymer to encounter, which we call the mean first encounter time in a confined microdomain (MFETC). We approximate the confined domain geometry by a harmonic pote...

The ground state energy of an assembly of charged particles of density rho imbedded in a continuum of charge of the other sign in an electrically neutral system is considered. Asymptotic formulae for the ground state energy of such systems are known in the high- and low-density regimes. An interpolation formula covering the entire density range is derived using the method of two-point Padé appr...

In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.

Model quality evaluation in set–membership identification is investigated. In the recent literature, two main approaches have been used to investigate this problem, based on the concepts of n-width and of radius of information. In this paper it is shown that the nwidth is related to the asymptotic value of the conditional radius of information of the identification problem with noise free measu...

Ever since the work of Foias and Temam in case of the Navier-Stokes equations (NSE), the use of Gevrey norms has become standard fare in estimating the radius of analyticity in various nonlinear evolution equations. Recent investigations revealed that these are also closely connected to asymptotic behavior of solutions and the study of the global attractor. In most of the studies to date, by co...

Nonlinear conservation laws with moving boundaries often arise in applications such as gas and plasma dynamics and more recently in the context of nuclear fusion reactors. Gaining insight into the nature of solutions to such models and their dependence upon design parameters is often done numerically. Instead of relying upon numerics, in this paper we use formal asymptotics to study a model of ...

A mathematical model is presented for the growth of a multicellular spheroid that comprises a central core of necrotic cells surrounded by an outer annulus of proliferating cells. The model distinguishes two mechanisms for cell loss: apoptosis and necrosis. Cell loss due to apoptosis is defined to be programmed cell death, occurring, for example, when a cell exceeds its natural lifespan, wherea...

Particle simulations in fields ranging from biochemistry to astrophysics require evaluation of the interactions between all pairs of particles separated by less than some fixed interaction radius. The extent to which such simulations can be parallelized has historically been limited by the time required for inter-processor communication. Recently, Snir [1] and Shaw [2] independently introduced ...

We study the maximum weight independent sets of links between nodes distributed randomly in an infinite plane. Different definitions of the weight of a link are considered, leading to slight variations of what is essentially a spatial reuse problem in wireless multihop networks. A simple interference model is assumed with the interference radius equaling the transmission radius. In addition to ...