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Giuseppe D'Onofrio
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On two diffusion neuronal models with multiplicative noise: The mean first-passage time properties
G D'Onofrio, P Lansky, E Pirozzi
Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (4), 2018
272018
Successive spike times predicted by a stochastic neuronal model with a variable input signal
G D'Onofrio, E Pirozzi
Mathematical Biosciences and Engineering 13 (3), 495-507, 2016
232016
Closed-form solutions for the first-passage-time problem and neuronal modeling
A Buonocore, L Caputo, G D’Onofrio, E Pirozzi
Ricerche di Matematica 64, 421-439, 2015
212015
The Jacobi diffusion process as a neuronal model
G D’Onofrio, M Tamborrino, P Lansky
Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (10), 2018
162018
A cumulant approach for the first-passage-time problem of the Feller square-root process
E Di Nardo, G D’Onofrio
Applied Mathematics and Computation 391, 125707, 2021
132021
On two-boundary first exit time of Gauss-diffusion processes: closed-form results and biological modeling
G D'Onofrio, E Pirozzi
Lecture Notes of Seminario Interdisciplinare di Matematica 12, 111-124, 2015
102015
Asymptotics of two-boundary first-exit-time densities for Gauss-Markov processes
G D’Onofrio, E Pirozzi
Methodology and Computing in Applied Probability 21, 735-752, 2019
82019
Inhibition enhances the coherence in the Jacobi neuronal model
G D'Onofrio, P Lansky, M Tamborrino
Chaos, Solitons & Fractals 128, 108-113, 2019
72019
Two-boundary first exit time of Gauss-Markov processes for stochastic modeling of acto-myosin dynamics
G D’Onofrio, E Pirozzi
Journal of mathematical biology 74, 1511-1531, 2017
72017
Asymptotic results for first-passage times of some exponential processes
G D’Onofrio, C Macci, E Pirozzi
Methodology and Computing in Applied Probability 20, 1453-1476, 2018
62018
Towards stochastic modeling of neuronal interspike intervals including a time-varying input signal
G D’Onofrio, E Pirozzi, MO Magnasco
Computer Aided Systems Theory–EUROCAST 2015: 15th International Conference …, 2015
62015
Coordinate invariance as a fundamental constraint on the form of stimulus-specific information measures
L Kostal, G D’Onofrio
Biological Cybernetics 112, 13-23, 2018
42018
An optimal Gauss–Markov approximation for a process with stochastic drift and applications
G Ascione, G D’Onofrio, L Kostal, E Pirozzi
Stochastic Processes and their Applications 130 (11), 6481-6514, 2020
32020
Jacobi processes with jumps as neuronal models: a first passage time analysis
G D’Onofrio, P Patie, L Sacerdote
SIAM Journal on Applied Mathematics 84 (1), 189-214, 2024
22024
Approximating the first passage time density of diffusion processes with state-dependent jumps
G D’Onofrio, A Lanteri
Fractal and Fractional 7 (1), 30, 2022
22022
On the cumulants of the first passage time of the Inhomogeneous Geometric Brownian motion
E Di Nardo, G D’Onofrio
Mathematics 9 (9), 956, 2021
22021
On discrete-time arrival processes and related random motions
G d'Onofrio, TM Michelitsch, F Polito, AP Riascos
arXiv preprint arXiv:2403.06821, 2024
12024
Approximating the first passage time density from data using generalized Laguerre polynomials
E Di Nardo, G D’Onofrio, T Martini
Communications in Nonlinear Science and Numerical Simulation 118, 106991, 2023
12023
On count data models based on Bernstein functions or their inverses
G D'Onofrio, F Polito, Z Tomovski
arXiv preprint arXiv:2404.04180, 2024
2024
Orthogonal gamma-based expansion for the CIR's first passage time distribution
E Di Nardo, G D'Onofrio, T Martini
arXiv preprint arXiv:2402.00833, 2024
2024
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