In this paper, lumen degradation is described by using a modified Brownian motion process
for mid-power white-light LED packages, which were aged under step stress accelerated …

The paper addresses Brownian motion in the logarithmic potential with time-dependent
strength, U (x, t)= g (t) log (x), subject to the absorbing boundary at the origin of coordinates …

Two different stochastic processes are used to model the evolution of the membrane voltage
of a neuron exposed to a time-varying input signal. The first process is an inhomogeneous …

We discuss the statistics of first-passage times of a Brownian particle moving in a highly
unstable nonlinear potential proportional to an odd power of position. We observe …

Spike generation in neurons produces a temporal point process, whose statistics is
governed by intrinsic phenomena and the external incoming inputs to be coded. In …

In this letter, we derive an analytic estimate of the impulse response for the n-dimensional
unbounded diffusion channel with a spherical absorbing receiver. We use generalized …

We study temporal correlations of interspike intervals, quantified by the network-averaged
serial correlation coefficient (SCC), in networks of both current-and conductance-based …

The main topic of this thesis is to specialize mathematical methods and construct stochastic
models for describing and predict biological dynamics such as neuronal firing and acto …

In one-dimensional systems, the dynamics of a Brownian particle are governed by the force
derived from a potential as well as by diffusion properties. In this work, we obtain the first …

Threshold regression (TR) models have recently become a popular tool for survival analysis.
A number of different stochastic processes have been considered as the underlying latent …