D’Onofrio, G.; Pirozzi, E. Asymptotics of two-boundary first-exit-time densities for Gauss-Markov processes. (English) Zbl 1439.60038 Methodol. Comput. Appl. Probab. 21, No. 3, 735-752 (2019). MSC: 60G15 60J70 60J60 PDFBibTeX XMLCite \textit{G. D'Onofrio} and \textit{E. Pirozzi}, Methodol. Comput. Appl. Probab. 21, No. 3, 735--752 (2019; Zbl 1439.60038) Full Text: DOI
D’Onofrio, G.; Lansky, P.; Pirozzi, E. On two diffusion neuronal models with multiplicative noise: the mean first-passage time properties. (English) Zbl 1390.92028 Chaos 28, No. 4, 043103, 9 p. (2018). MSC: 92C20 60J70 60J60 PDFBibTeX XMLCite \textit{G. D'Onofrio} et al., Chaos 28, No. 4, 043103, 9 p. (2018; Zbl 1390.92028) Full Text: DOI Link
D’Onofrio, Giuseppe; Pirozzi, Enrica Two-boundary first exit time of Gauss-Markov processes for stochastic modeling of acto-myosin dynamics. (English) Zbl 1362.92020 J. Math. Biol. 74, No. 6, 1511-1531 (2017). MSC: 92C40 60G15 60J70 60H10 60H05 PDFBibTeX XMLCite \textit{G. D'Onofrio} and \textit{E. Pirozzi}, J. Math. Biol. 74, No. 6, 1511--1531 (2017; Zbl 1362.92020) Full Text: DOI
D’Onofrio, Giuseppe; Pirozzi, Enrica Successive spike times predicted by a stochastic neuronal model with a variable input signal. (English) Zbl 1351.92008 Math. Biosci. Eng. 13, No. 3, 495-507 (2016). MSC: 92C20 60J70 60J60 PDFBibTeX XMLCite \textit{G. D'Onofrio} and \textit{E. Pirozzi}, Math. Biosci. Eng. 13, No. 3, 495--507 (2016; Zbl 1351.92008) Full Text: DOI
D’onofrio, Giuseppe; Pirozzi, Enrica On two-boundary first exit time of Gauss-diffusion processes: closed- form results and biological modeling. (English) Zbl 1502.60040 Di Nardo, Elvira (ed.), Recent advances in probability and statistics. Potenza: Seminario Interdisciplinare di Matematica (S.I.M.). Lect. Notes Semin. Interdiscip. Mat. 12, 111-124 (2015). MSC: 60G15 60J60 60J70 PDFBibTeX XMLCite \textit{G. D'onofrio} and \textit{E. Pirozzi}, Lect. Notes Semin. Interdiscip. Mat. 12, 111--124 (2015; Zbl 1502.60040) Full Text: Link
Pirozzi, Enrica; Carfora, Maria Francesca Stochastic modeling of the firing activity of coupled neurons periodically driven. (English) Zbl 1335.60127 Discrete Contin. Dyn. Syst. 2015, Suppl., 195-203 (2015). MSC: 60H30 60H10 60J70 60J60 92C20 PDFBibTeX XMLCite \textit{E. Pirozzi} and \textit{M. F. Carfora}, Discrete Contin. Dyn. Syst. 2015, 195--203 (2015; Zbl 1335.60127) Full Text: DOI
Buonocore, Aniello; Caputo, Luigia; D’Onofrio, Giuseppe; Pirozzi, Enrica Closed-form solutions for the first-passage-time problem and neuronal modeling. (English) Zbl 1329.60277 Ric. Mat. 64, No. 2, 421-439 (2015). MSC: 60J60 60G15 60H10 60J70 92C20 65C50 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Ric. Mat. 64, No. 2, 421--439 (2015; Zbl 1329.60277) Full Text: DOI
Buonocore, A.; Caputo, L.; Nobile, A. G.; Pirozzi, E. Gauss-Markov processes in the presence of a reflecting boundary and applications in neuronal models. (English) Zbl 1410.60079 Appl. Math. Comput. 232, 799-809 (2014). MSC: 60J60 60J70 92C20 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Appl. Math. Comput. 232, 799--809 (2014; Zbl 1410.60079) Full Text: DOI
Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica; Carfora, Maria Francesca Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons. (English) Zbl 1279.60102 Math. Biosci. Eng. 11, No. 2, 189-201 (2014). MSC: 60J60 60J70 92-08 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Math. Biosci. Eng. 11, No. 2, 189--201 (2014; Zbl 1279.60102) Full Text: DOI Link
Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica; Ricciardi, Luigi M. The first passage time problem for Gauss-diffusion processes: algorithmic approaches and applications to LIF neuronal model. (English) Zbl 1211.60037 Methodol. Comput. Appl. Probab. 13, No. 1, 29-57 (2011). MSC: 60J60 60G15 60J70 92C20 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Methodol. Comput. Appl. Probab. 13, No. 1, 29--57 (2011; Zbl 1211.60037) Full Text: DOI
Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica On the evaluation of firing densities for periodically driven neuron models. (English) Zbl 1143.92002 Math. Biosci. 214, No. 1-2, 122-133 (2008). MSC: 92C20 60J70 65R20 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Math. Biosci. 214, No. 1--2, 122--133 (2008; Zbl 1143.92002) Full Text: DOI
Nobile, Amelia G.; Pirozzi, Enrica; Ricciardi, Luigi M. Asymptotics and evaluations of FPT densities through varying boundaries for Gauss-Markov processes. (English) Zbl 1151.60035 Sci. Math. Jpn. 67, No. 2, 241-266 (2008). Reviewer: P. R. Parthasarathy (Karlsruhe) MSC: 60J60 60J70 92C20 PDFBibTeX XMLCite \textit{A. G. Nobile} et al., Sci. Math. Jpn. 67, No. 2, 241--266 (2008; Zbl 1151.60035)
Di Nardo, Elvira; Nobile, Amelia G.; Pirozzi, Enrica; Ricciardi, Luigi M. Gaussian processes and neuronal modeling. (English) Zbl 1123.92003 Nat. Comput. 6, No. 3, 283-310 (2007). MSC: 92C20 60G35 60J70 PDFBibTeX XMLCite \textit{E. Di Nardo} et al., Nat. Comput. 6, No. 3, 283--310 (2007; Zbl 1123.92003) Full Text: DOI arXiv
Giorno, Virginia; Nobile, Amelia G.; Pirozzi, Enrica; Ricciardi, Luigi M. On the construction of first-passage-time densities for diffusion processes. (English) Zbl 1110.60072 Sci. Math. Jpn. 64, No. 2, 277-298 (2006). MSC: 60J60 60J70 92C20 PDFBibTeX XMLCite \textit{V. Giorno} et al., Sci. Math. Jpn. 64, No. 2, 277--298 (2006; Zbl 1110.60072)