کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6372144 | 1319967 | 2013 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Joint distribution of first exit times of a two dimensional Wiener process with jumps with application to a pair of coupled neurons
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کلمات کلیدی
موضوعات مرتبط
علوم زیستی و بیوفناوری
علوم کشاورزی و بیولوژیک
علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Joint distribution of first exit times of a two dimensional Wiener process with jumps with application to a pair of coupled neurons Joint distribution of first exit times of a two dimensional Wiener process with jumps with application to a pair of coupled neurons](/preview/png/6372144.png)
چکیده انگلیسی
Motivated by a neuronal modeling problem, a bivariate Wiener process with two independent components is considered. Each component evolves independently until one of them reaches a threshold value. If the first component crosses the threshold value, it is reset while the dynamics of the other component remains unchanged. But, if this happens to the second component, the first one has a jump of constant amplitude; the second component is then reset to its starting value and its evolution restarts. Both processes evolve once again until one of them reaches again its boundary. In this work, the coupling of the first exit times of the two connected processes is studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 245, Issue 1, September 2013, Pages 61-69
Journal: Mathematical Biosciences - Volume 245, Issue 1, September 2013, Pages 61-69
نویسندگان
Laura Sacerdote, Cristina Zucca,