Recently, an enrichment of identical matching sequences has been found in many eukaryotic genomes. Their length distribution exhibits a power law tail raising the question of what evolutionary mechanism or functional constraints would be able to shape this distribution. Here we introduce a simple and evolutionarily neutral model, which involves only point mutations and segmental duplications, a...

We present a theoretical study of the fatigue fracture of heterogeneous materials. A generic fiber bundle model is proposed, which provides a direct connection between the microscopic fracture mechanisms and the macroscopic time evolution of fatigue. In the model, material elements fail either due to immediate breaking or undergo a damage accumulating ageing process. On the macro-level the mode...

Abstract In this paper we have investigated a fuzzy linear programming problem with fuzzy quantities which are LR triangular fuzzy numbers. The given linear programming problem is rearranged according to the satisfactory level of constraints using breaking point method. By considering the constraints, the arranged problem has been investigated for all optimal solutions connected with satisf...

In this paper we develop an existence theory for the Cauchy problem to stochastic Hunter-Saxton equatio, and prove several properties of blow-up its solutions. An important part is continuation solutions equations beyond (wave-breaking). linear noise case, using method (stochastic) characteristics, also study random wave-breaking effects unobserved in deterministic problem. Notably, derive expl...

pollution of water and soils by heavy metals is an emerging problem in industrialized countries.the present study was conducted to investigate the heavy metals concentration in water and sedimentsamples from ship breaking sites of sitakunda to assess the potential ecological risk posed by heavy metalusing different methods. heavy metals concentration was analyzed by atomic absorption spectrosco...

Information technology makes aggregation of data a relatively easy task on a regional or national basis. One good example of this is the data used to evaluate performance on the Quality and Outcomes Framework (QOF). These are data taken from nearly every general practice in the UK to measure achievement of quality targets in chronic disease management. Evidence-based quality targets have been s...