First passage dynamics of stochastic motion in heterogeneous media driven by correlated white Gaussian and coloured non-Gaussian noises
… –Kutta algorithm and the first passage times (FPTs) are recorded… ie, Ornstein–Uhlenbeck
process) with effective noise correlation … (2 − q)τ/(5 − 3q) and D eff = [2(2 − q)/(5 − 3q)] 2 D. Both …
process) with effective noise correlation … (2 − q)τ/(5 − 3q) and D eff = [2(2 − q)/(5 − 3q)] 2 D. Both …
[PDF][PDF] Contributions to First Passage Time Problems of Brownian Motion
OF Hallmann - 2023 - macau.uni-kiel.de
… a new duality approach to the inverse method of images … are also applications in biology
for the modelling of neuronal … Ornstein-Uhlenbeck process he shows that for large t it holds …
for the modelling of neuronal … Ornstein-Uhlenbeck process he shows that for large t it holds …
Channel current fluctuations conclusively explain neuronal encoding of internal potential into spike trains
MNP Nilsson, H Jörntell - Physical Review E, 2021 - APS
… using recent progress in firstpassage time theory. … neurons), and apply a technique from
Stratonovic [31] using stochastic equivalence to transform Vp to an Ornstein-Uhlenbeck process …
Stratonovic [31] using stochastic equivalence to transform Vp to an Ornstein-Uhlenbeck process …
A boosting first-hitting-time model for survival analysis in high-dimensional settings
R De Bin, VG Stikbakke - Lifetime Data Analysis, 2023 - Springer
… of view, focusing on our biomedical field of applications, Y(t) … process, the negative log-likelihood
based on the inverse … over other approaches, for example neural networks, is in the …
based on the inverse … over other approaches, for example neural networks, is in the …
Estimating the nonlinear effects of an ecological system driven by Ornstein-Uhlenbeck noise
MY Tian, CJ Wang, KL Yang, P Fu, CY Xia… - Chaos, Solitons & …, 2020 - Elsevier
… the collective behaviors in a neural network by developing a variety … D 1 + m c D 1 2 + τ 2 e
2 2 D 1 − c − e 2 D 1 − 3 m c τ 2 e + m … MET is similar to the mean first passage time (MFPT) in …
2 2 D 1 − c − e 2 D 1 − 3 m c τ 2 e + m … MET is similar to the mean first passage time (MFPT) in …
Exponentially distributed noise—its correlation function and its effect on nonlinear dynamics
GN Farah, B Lindner - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
… compare to an Ornstein–Uhlenbeck process with the same … the firing rate of the quadratic
integrate-and-fire neuron [5, 24]. … is then given by the inverse of the mean first-passage time: …
integrate-and-fire neuron [5, 24]. … is then given by the inverse of the mean first-passage time: …
The first-passage area of Wiener process with stochastic resetting
M Abundo - Methodology and Computing in Applied Probability, 2023 - Springer
… the time axis and the path of the process \(\mathcal{X} (t)\) up to the first-passage time through
… of the first-passage time and the first-passage area, and their single and joint moments. …
… of the first-passage time and the first-passage area, and their single and joint moments. …
Neural Markov jump processes
P Seifner, RJ Sánchez - International Conference on …, 2023 - proceedings.mlr.press
… Our methodology learns neural, continuous-time … was generated by applying a voltage drop
of 140 mV, and … the estimated mean-first passage times. NeuralMJP infers shorter transition …
of 140 mV, and … the estimated mean-first passage times. NeuralMJP infers shorter transition …
Explicit asymptotics on first passage times of diffusion processes
A Dassios, L Li - Advances in Applied Probability, 2020 - cambridge.org
… their numerical comparisons with inverse Laplace transform … In the second step, we apply
perturbations on ϵ and find … Later the process appeared widely in neural science [32], [54] …
perturbations on ϵ and find … Later the process appeared widely in neural science [32], [54] …
Escape time in bistable neuronal populations driven by colored synaptic noise
… In fact, first passage times, ie the time needed to jump between … of the original twodimensional
system (2). Despite the fact that … Indeed, one possible application of our results is system …
system (2). Despite the fact that … Indeed, one possible application of our results is system …