Mathematical models are an important tool for neuroscientists. During the last 30 years
many papers have appeared on single neuron description and specifically on stochastic …

Rating agencies are often criticized for being biased in favor of borrowers, for being too slow
to downgrade following credit quality deterioration, and for being oligopolists. Based on a …

Three expressions are provided for the first hitting time density of an Ornstein-Uhlenbeck
process to reach a fixed level. The first hinges on an eigenvalue expansion involving zeros …

Brownian dynamics serve as mathematical models for the diffusive motion of microscopic
particles of various shapes in gaseous, liquid, or solid environments. The renewed interest …

The frequency stability of an optical frequency standard at 729 nm, based on a single
calcium ion, is numerically studied. It is investigated through the Allan deviation, whose …

The aim of this study is to model electric power consumption during a period of economic
crisis, characterised by declining gross domestic product. A novel aspect of this study is its …

We propose an approach to compute the boundary crossing probabilities for a class of
diffusion processes which can be expressed as piecewise monotone (not necessarily one-to …

Neutron-deficient isotopes with Z= 21 to 26 have been produced as projectile-like fragments
of an intense 58 Ni GANIL beam of 69 MeV/nucleon. The nuclei selected by the upgraded …

The first-passage problem plays a significant role in engineering performance evaluation
and design optimization. To address general stochastic dynamical systems, a data-driven …

In this paper, we propose a mathematical model on the oncolytic virotherapy incorporating
virus-specific cytotoxic T lymphocyte (CTL) response, which contribute to killing infected …