D’Onofrio, Giuseppe; Patie, Pierre; Sacerdote, Laura Jacobi processes with jumps as neuronal models: a first passage time analysis. (English) Zbl 07809918 SIAM J. Appl. Math. 84, No. 1, 189-214 (2024). MSC: 37A30 47D06 47G20 60J75 60J70 PDFBibTeX XMLCite \textit{G. D'Onofrio} et al., SIAM J. Appl. Math. 84, No. 1, 189--214 (2024; Zbl 07809918) Full Text: DOI arXiv
Sacerdote, Laura; Tamborrino, Massimiliano; Zucca, Cristina First passage times of two-dimensional correlated processes: analytical results for the Wiener process and a numerical method for diffusion processes. (English) Zbl 1333.60176 J. Comput. Appl. Math. 296, 275-292 (2016). MSC: 60J60 60G40 60J65 60J70 45D05 45B05 65R20 PDFBibTeX XMLCite \textit{L. Sacerdote} et al., J. Comput. Appl. Math. 296, 275--292 (2016; Zbl 1333.60176) Full Text: DOI arXiv
Sacerdote, Laura; Giraudo, Maria Teresa Stochastic integrate and fire models: a review on mathematical methods and their applications. (English) Zbl 1390.92032 Bachar, Mostafa (ed.) et al., Stochastic biomathematical models with applications to neuronal modeling. Berlin: Springer (ISBN 978-3-642-32156-6/pbk; 978-3-642-32157-3/ebook). Lecture Notes in Mathematics 2058, 99-148 (2013). MSC: 92C20 60J70 PDFBibTeX XMLCite \textit{L. Sacerdote} and \textit{M. T. Giraudo}, Lect. Notes Math. 2058, 99--148 (2013; Zbl 1390.92032) Full Text: DOI arXiv
Giraudo, Maria Teresa; Greenwood, Priscilla E.; Sacerdote, Laura How sample paths of leaky integrate-and-fire models are influenced by the presence of a firing threshold. (English) Zbl 1218.92018 Neural Comput. 23, No. 7, 1743-1767 (2011). MSC: 92C20 60J70 PDFBibTeX XMLCite \textit{M. T. Giraudo} et al., Neural Comput. 23, No. 7, 1743--1767 (2011; Zbl 1218.92018) Full Text: DOI Link
Lansky, Petr; Sacerdote, Laura; Zucca, Cristina Optimum signal in a diffusion leaky integrate-and-fire neuronal model. (English) Zbl 1117.92008 Math. Biosci. 207, No. 2, 261-274 (2007). MSC: 92C20 60J70 PDFBibTeX XMLCite \textit{P. Lansky} et al., Math. Biosci. 207, No. 2, 261--274 (2007; Zbl 1117.92008) Full Text: DOI
Giraudo, Maria Teresa; Sacerdote, Laura Ghost stochastic resonance for a stochastic single neuron model. (English) Zbl 1111.60063 Sci. Math. Jpn. 64, No. 2, 299-312 (2006). MSC: 60J70 60J60 60G40 PDFBibTeX XMLCite \textit{M. T. Giraudo} and \textit{L. Sacerdote}, Sci. Math. Jpn. 64, No. 2, 299--312 (2006; Zbl 1111.60063)
Sacerdote, Laura; Sirovich, Roberta Multimodality of the interspike interval distribution in a simple jump-diffusion model. (English) Zbl 1076.60071 Sci. Math. Jpn. 58, No. 2, 307-322 (2003). Reviewer: Vladimir Mazalov (Petrozavodsk) MSC: 60J70 60G40 PDFBibTeX XMLCite \textit{L. Sacerdote} and \textit{R. Sirovich}, Sci. Math. Jpn. 58, No. 2, 307--322 (2003; Zbl 1076.60071)
Sacerdote, Laura; Zucca, Cristina Threshold shape corrresponding to a gamma firing distribution in an Ornstein-Uhlenbeck neuronal model. (English) Zbl 1064.92011 Sci. Math. Jpn. 58, No. 2, 295-305 (2003). Reviewer: Alexander Mitrophanov (Atlanta) MSC: 92C20 60J70 65C30 60J50 PDFBibTeX XMLCite \textit{L. Sacerdote} and \textit{C. Zucca}, Sci. Math. Jpn. 58, No. 2, 295--305 (2003; Zbl 1064.92011)
Sacerdote, Laura; Smith, Charles E. A qualitative comparison of some diffusion models for neural activity via stochastic ordering. (English) Zbl 1033.92008 Biol. Cybern. 83, No. 6, 543-551 (2000). MSC: 92C20 60J70 PDFBibTeX XMLCite \textit{L. Sacerdote} and \textit{C. E. Smith}, Biol. Cybern. 83, No. 6, 543--551 (2000; Zbl 1033.92008) Full Text: DOI
Sacerdote, L.; Tomassetti, F. On evaluations and asymptotic approximations of first-passage-time probabilities. (English) Zbl 0869.60034 Adv. Appl. Probab. 28, No. 1, 270-284 (1996). Reviewer: F.T.Bruss (Bruxelles) MSC: 60G40 60J60 60J70 62E17 PDFBibTeX XMLCite \textit{L. Sacerdote} and \textit{F. Tomassetti}, Adv. Appl. Probab. 28, No. 1, 270--284 (1996; Zbl 0869.60034) Full Text: DOI
Lánský, Petr; Sacerdote, Laura; Tomassetti, Francesca On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity. (English) Zbl 0831.92002 Biol. Cybern. 73, No. 5, 457-465 (1995). MSC: 92B20 60J70 PDFBibTeX XMLCite \textit{P. Lánský} et al., Biol. Cybern. 73, No. 5, 457--465 (1995; Zbl 0831.92002) Full Text: DOI
Sacerdote, L.; Ricciardi, L. M. On the transformation of diffusion equations and boundaries into the Kolmogorov equation for the Wiener process. (English) Zbl 0776.60104 Ric. Mat. 41, No. 1, 123-135 (1992). MSC: 60J70 35Q53 PDFBibTeX XMLCite \textit{L. Sacerdote} and \textit{L. M. Ricciardi}, Ric. Mat. 41, No. 1, 123--135 (1992; Zbl 0776.60104)
Sacerdote, L. On the solution of the Fokker-Planck equation for a Feller process. (English) Zbl 0752.60066 Adv. Appl. Probab. 22, No. 1, 101-110 (1990). MSC: 60J70 60J50 PDFBibTeX XMLCite \textit{L. Sacerdote}, Adv. Appl. Probab. 22, No. 1, 101--110 (1990; Zbl 0752.60066) Full Text: DOI
Sacerdote, L. Some remarks on first-passage-time problems. (English) Zbl 0646.60088 Biomathematics and related computational problems, Proc. Workshop, Naples and Anacapri/Italy 1987, 567-579 (1988). Reviewer: J.Spouge MSC: 60J70 PDFBibTeX XML
Ricciardi, L. M.; Sacerdote, L.; Sato, S. Diffusion approximation and first passage time problem for a model neuron. II. Outline of a computation method. (English) Zbl 0525.92006 Math. Biosci. 64, 29-44 (1983). MSC: 92Cxx 60J70 92-08 PDFBibTeX XMLCite \textit{L. M. Ricciardi} et al., Math. Biosci. 64, 29--44 (1983; Zbl 0525.92006) Full Text: DOI
Favella, L.; Reineri, M. T.; Ricciardi, L. M.; Sacerdote, L. First passage time problems and some related computational methods. (English) Zbl 0499.60087 Cybern. Syst. 13, 95-128 (1982). MSC: 60J70 60J65 92F05 PDFBibTeX XMLCite \textit{L. Favella} et al., Cybern. Syst. 13, 95--128 (1982; Zbl 0499.60087) Full Text: DOI
Cerbone, G.; Ricciardi, L. M.; Sacerdote, L. Mean variance and skewness of the first passage time for the Ornstein- Uhlenbeck process. (English) Zbl 0586.60083 Pubbl., Ser. III, Ist. Appl. Calcolo 209, 37 p. (1981). MSC: 60J70 92D25 PDFBibTeX XML
Ricciardi, L. M.; Sacerdote, L. The first passage time problem with applications to neuronal modeling. (English) Zbl 0475.60065 Applications of information and control systems, 2nd int. Conf. Inf. Sci. Syst. Vol. III, Patras/Greece 1979, 226-236 (1980). MSC: 60J70 PDFBibTeX XML
Ricciardi, Luigi M.; Sacerdote, Laura The Ornstein-Uhlenbeck process as a model for neuronal activity. I. Mean and variance of the firing time. (English) Zbl 0414.92010 Biol. Cybern. 35, 1-9 (1979). MSC: 92Cxx 60J70 60K35 44A10 PDFBibTeX XMLCite \textit{L. M. Ricciardi} and \textit{L. Sacerdote}, Biol. Cybern. 35, 1--9 (1979; Zbl 0414.92010) Full Text: DOI