Abundo, Mario; Pirozzi, Enrica Fractionally integrated Gauss-Markov processes and applications. (English) Zbl 1480.60087 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105862, 20 p. (2021). MSC: 60G15 26A33 65C20 PDFBibTeX XMLCite \textit{M. Abundo} and \textit{E. Pirozzi}, Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105862, 20 p. (2021; Zbl 1480.60087) Full Text: DOI arXiv
Ascione, Giacomo; Pirozzi, Enrica On a stochastic neuronal model integrating correlated inputs. (English) Zbl 1497.92038 Math. Biosci. Eng. 16, No. 5, 5206-5225 (2019). MSC: 92C20 60J60 PDFBibTeX XMLCite \textit{G. Ascione} and \textit{E. Pirozzi}, Math. Biosci. Eng. 16, No. 5, 5206--5225 (2019; Zbl 1497.92038) Full Text: DOI
Pirozzi, Enrica Colored noise and a stochastic fractional model for correlated inputs and adaptation in neuronal firing. (English) Zbl 1400.92108 Biol. Cybern. 112, No. 1-2, 25-39 (2018). MSC: 92C20 60H30 PDFBibTeX XMLCite \textit{E. Pirozzi}, Biol. Cybern. 112, No. 1--2, 25--39 (2018; Zbl 1400.92108) 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 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
Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica; Carfora, Maria Francesca A leaky integrate-and-fire model with adaptation for the generation of a spike train. (English) Zbl 1349.92039 Math. Biosci. Eng. 13, No. 3, 483-493 (2016). MSC: 92C20 60H10 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Math. Biosci. Eng. 13, No. 3, 483--493 (2016; Zbl 1349.92039) Full Text: DOI
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. Restricted Ornstein-Uhlenbeck process and applications in neuronal models with periodic input signals. (English) Zbl 1328.60183 J. Comput. Appl. Math. 285, 59-71 (2015). MSC: 60J60 60G15 92C20 65C30 PDFBibTeX XMLCite \textit{A. Buonocore} et al., J. Comput. Appl. Math. 285, 59--71 (2015; Zbl 1328.60183) 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; Carfora, Maria Francesca A simple algorithm to generate firing times for leaky integrate-and-fire neuronal model. (English) Zbl 1279.60101 Math. Biosci. Eng. 11, No. 1, 1-10 (2014). MSC: 60J60 60H35 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Math. Biosci. Eng. 11, No. 1, 1--10 (2014; Zbl 1279.60101) Full Text: DOI
Buonocore, A.; Caputo, L.; Pirozzi, E.; Ricciardi, L. M. On a stochastic leaky integrate-and-fire neuronal model. (English) Zbl 1417.92030 Neural Comput. 22, No. 10, 2558-2585 (2010). MSC: 92C20 60J60 PDFBibTeX XMLCite \textit{A. Buonocore} et al., Neural Comput. 22, No. 10, 2558--2585 (2010; Zbl 1417.92030) Full Text: DOI