Stochastic integrate and fire models: a review on mathematical methods and their applications
L Sacerdote, MT Giraudo - … models: with applications to neuronal modeling, 2013 - Springer
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 …
many papers have appeared on single neuron description and specifically on stochastic …
Feedback effects of credit ratings
G Manso - Journal of Financial Economics, 2013 - Elsevier
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 …
to downgrade following credit quality deterioration, and for being oligopolists. Based on a …
Representations of the first hitting time density of an Ornstein-Uhlenbeck process
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 …
process to reach a fixed level. The first hinges on an eigenvalue expansion involving zeros …
[BOOK][B] Brownian dynamics at boundaries and interfaces
Z Schuss - 2015 - Springer
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 …
particles of various shapes in gaseous, liquid, or solid environments. The renewed interest …
Evaluation of the ultimate performances of a Ca+ single-ion frequency standard
C Champenois, M Houssin, C Lisowski, M Knoop… - Physics Letters A, 2004 - Elsevier
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 …
calcium ion, is numerically studied. It is investigated through the Allan deviation, whose …
Modelling and predicting electricity consumption in Spain using the stochastic Gamma diffusion process with exogenous factors
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 …
crisis, characterised by declining gross domestic product. A novel aspect of this study is its …
Crossing probabilities for diffusion processes with piecewise continuous boundaries
L Wang, K Pötzelberger - Methodology and Computing in Applied …, 2007 - Springer
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 …
diffusion processes which can be expressed as piecewise monotone (not necessarily one-to …
Data-driven identification for approximate analytical solution of first-passage problem
X Chen, X **, Z Huang - Probabilistic Engineering Mechanics, 2023 - Elsevier
The first-passage problem plays a significant role in engineering performance evaluation
and design optimization. To address general stochastic dynamical systems, a data-driven …
and design optimization. To address general stochastic dynamical systems, a data-driven …
The decay modes of proton drip-line nuclei with A between 42 and 47
V Borrel, R Anne, D Bazin, C Borcea… - Zeitschrift für Physik A …, 1992 - Springer
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 …
of an intense 58 Ni GANIL beam of 69 MeV/nucleon. The nuclei selected by the upgraded …
Stochastic model analysis of cancer oncolytic virus therapy: estimation of the extinction mean times and their probabilities
BI Camara, H Mokrani, A Diouf, I Sané, AS Diallo - Nonlinear Dynamics, 2022 - Springer
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 …
virus-specific cytotoxic T lymphocyte (CTL) response, which contribute to killing infected …