Activation process in excitable systems with multiple noise sources: Large number of units
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2015
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We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to explicitly demonstrate that the assembly of excitable units can itself exhibit macroscopic excitable behavior. In order to facilitate the comparison between the excitable dynamics of a single unit and an assembly, we introduce three distinct formulations of the assembly activation event. Each formulation treats different aspects of the relevant phenomena, including the thresholdlike behavior and the role of coherence of individual spikes. Statistical properties of the assembly activation process, such as the mean time-to-first pulse and the associated coefficient of variation, are found to be qualitatively analogous for all three formulations, as well as to resemble the results for a single unit. These analogies are shown to derive from the fact that global variables undergo a stochastic bifurcation from the st...ochastically stable fixed point to continuous oscillations. Local activation processes are analyzed in the light of the competition between the noise-led and the relaxation-driven dynamics. We also briefly report on a system-size antiresonant effect displayed by the mean time-to-first pulse.
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.92.062912
ISSN: 1539-3755
PubMed: 26764779
WoS: 000366507200010
Scopus: 2-s2.0-84951855274
Institucija/grupa
PharmacyTY - JOUR AU - Franović, Igor AU - Perc, Matjaz AU - Todorović, Kristina AU - Kostić, Srđan AU - Burić, Nikola PY - 2015 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/2309 AB - We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to explicitly demonstrate that the assembly of excitable units can itself exhibit macroscopic excitable behavior. In order to facilitate the comparison between the excitable dynamics of a single unit and an assembly, we introduce three distinct formulations of the assembly activation event. Each formulation treats different aspects of the relevant phenomena, including the thresholdlike behavior and the role of coherence of individual spikes. Statistical properties of the assembly activation process, such as the mean time-to-first pulse and the associated coefficient of variation, are found to be qualitatively analogous for all three formulations, as well as to resemble the results for a single unit. These analogies are shown to derive from the fact that global variables undergo a stochastic bifurcation from the stochastically stable fixed point to continuous oscillations. Local activation processes are analyzed in the light of the competition between the noise-led and the relaxation-driven dynamics. We also briefly report on a system-size antiresonant effect displayed by the mean time-to-first pulse. PB - Amer Physical Soc, College Pk T2 - Physical Review E T1 - Activation process in excitable systems with multiple noise sources: Large number of units VL - 92 IS - 6 DO - 10.1103/PhysRevE.92.062912 ER -
@article{ author = "Franović, Igor and Perc, Matjaz and Todorović, Kristina and Kostić, Srđan and Burić, Nikola", year = "2015", abstract = "We study the activation process in large assemblies of type II excitable units whose dynamics is influenced by two independent noise terms. The mean-field approach is applied to explicitly demonstrate that the assembly of excitable units can itself exhibit macroscopic excitable behavior. In order to facilitate the comparison between the excitable dynamics of a single unit and an assembly, we introduce three distinct formulations of the assembly activation event. Each formulation treats different aspects of the relevant phenomena, including the thresholdlike behavior and the role of coherence of individual spikes. Statistical properties of the assembly activation process, such as the mean time-to-first pulse and the associated coefficient of variation, are found to be qualitatively analogous for all three formulations, as well as to resemble the results for a single unit. These analogies are shown to derive from the fact that global variables undergo a stochastic bifurcation from the stochastically stable fixed point to continuous oscillations. Local activation processes are analyzed in the light of the competition between the noise-led and the relaxation-driven dynamics. We also briefly report on a system-size antiresonant effect displayed by the mean time-to-first pulse.", publisher = "Amer Physical Soc, College Pk", journal = "Physical Review E", title = "Activation process in excitable systems with multiple noise sources: Large number of units", volume = "92", number = "6", doi = "10.1103/PhysRevE.92.062912" }
Franović, I., Perc, M., Todorović, K., Kostić, S.,& Burić, N.. (2015). Activation process in excitable systems with multiple noise sources: Large number of units. in Physical Review E Amer Physical Soc, College Pk., 92(6). https://doi.org/10.1103/PhysRevE.92.062912
Franović I, Perc M, Todorović K, Kostić S, Burić N. Activation process in excitable systems with multiple noise sources: Large number of units. in Physical Review E. 2015;92(6). doi:10.1103/PhysRevE.92.062912 .
Franović, Igor, Perc, Matjaz, Todorović, Kristina, Kostić, Srđan, Burić, Nikola, "Activation process in excitable systems with multiple noise sources: Large number of units" in Physical Review E, 92, no. 6 (2015), https://doi.org/10.1103/PhysRevE.92.062912 . .