Activation process in excitable systems with multiple noise sources: One and two interacting units
Samo za registrovane korisnike
2015
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
We consider the coaction of two distinct noise sources on the activation process of a single excitable unit and two interacting excitable units, which are mathematically described by the Fitzhugh-Nagumo equations. We determine the most probable activation paths around which the corresponding stochastic trajectories are clustered. The key point lies in introducing appropriate boundary conditions that are relevant for a class II excitable unit, which can be immediately generalized also to scenarios involving two coupled units. We analyze the effects of the two noise sources on the statistical features of the activation process, in particular demonstrating how these are modified due to the linear or nonlinear form of interactions. Universal properties of the activation process are qualitatively discussed in the light of a stochastic bifurcation that underlies the transition from a stochastically stable fixed point to continuous oscillations.
Izvor:
Physical Review E, 2015, 92, 6Izdavač:
- Amer Physical Soc, College Pk
Finansiranje / projekti:
- Modeliranje i numeričke simulacije složenih višečestičnih sistema (RS-MESTD-Basic Research (BR or ON)-171017)
DOI: 10.1103/PhysRevE.92.062911
ISSN: 2470-0045
PubMed: 26764778
WoS: 000366507200009
Scopus: 2-s2.0-84951797648
Institucija/grupa
PharmacyTY - JOUR AU - Franović, Igor AU - Todorović, Kristina AU - Perc, Matjaz AU - Vasović, Nebojša AU - Burić, Nikola PY - 2015 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2311 AB - We consider the coaction of two distinct noise sources on the activation process of a single excitable unit and two interacting excitable units, which are mathematically described by the Fitzhugh-Nagumo equations. We determine the most probable activation paths around which the corresponding stochastic trajectories are clustered. The key point lies in introducing appropriate boundary conditions that are relevant for a class II excitable unit, which can be immediately generalized also to scenarios involving two coupled units. We analyze the effects of the two noise sources on the statistical features of the activation process, in particular demonstrating how these are modified due to the linear or nonlinear form of interactions. Universal properties of the activation process are qualitatively discussed in the light of a stochastic bifurcation that underlies the transition from a stochastically stable fixed point to continuous oscillations. PB - Amer Physical Soc, College Pk T2 - Physical Review E T1 - Activation process in excitable systems with multiple noise sources: One and two interacting units VL - 92 IS - 6 DO - 10.1103/PhysRevE.92.062911 ER -
@article{ author = "Franović, Igor and Todorović, Kristina and Perc, Matjaz and Vasović, Nebojša and Burić, Nikola", year = "2015", abstract = "We consider the coaction of two distinct noise sources on the activation process of a single excitable unit and two interacting excitable units, which are mathematically described by the Fitzhugh-Nagumo equations. We determine the most probable activation paths around which the corresponding stochastic trajectories are clustered. The key point lies in introducing appropriate boundary conditions that are relevant for a class II excitable unit, which can be immediately generalized also to scenarios involving two coupled units. We analyze the effects of the two noise sources on the statistical features of the activation process, in particular demonstrating how these are modified due to the linear or nonlinear form of interactions. Universal properties of the activation process are qualitatively discussed in the light of a stochastic bifurcation that underlies the transition from a stochastically stable fixed point to continuous oscillations.", publisher = "Amer Physical Soc, College Pk", journal = "Physical Review E", title = "Activation process in excitable systems with multiple noise sources: One and two interacting units", volume = "92", number = "6", doi = "10.1103/PhysRevE.92.062911" }
Franović, I., Todorović, K., Perc, M., Vasović, N.,& Burić, N.. (2015). Activation process in excitable systems with multiple noise sources: One and two interacting units. in Physical Review E Amer Physical Soc, College Pk., 92(6). https://doi.org/10.1103/PhysRevE.92.062911
Franović I, Todorović K, Perc M, Vasović N, Burić N. Activation process in excitable systems with multiple noise sources: One and two interacting units. in Physical Review E. 2015;92(6). doi:10.1103/PhysRevE.92.062911 .
Franović, Igor, Todorović, Kristina, Perc, Matjaz, Vasović, Nebojša, Burić, Nikola, "Activation process in excitable systems with multiple noise sources: One and two interacting units" in Physical Review E, 92, no. 6 (2015), https://doi.org/10.1103/PhysRevE.92.062911 . .