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pro vyhledávání: '"Ermentrout, Bard"'
Publikováno v:
In Journal of Theoretical Biology 7 December 2024 595
Publikováno v:
SIAM Review 2021 63:1, 100-120
Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of a bilateral model that depends on the simultaneous comparison between odor concentrations detected by left and right sensors. The
Externí odkaz:
http://arxiv.org/abs/2008.03358
Publikováno v:
Philos Trans A Math Phys Eng Sci. 2019 Dec 16;377(2160):20190092. Epub 2019 Oct 28
We review the theory of weakly coupled oscillators for smooth systems. We then examine situations where application of the standard theory falls short and illustrate how it can be extended. Specific examples are given to non-smooth systems with appli
Externí odkaz:
http://arxiv.org/abs/2001.10620
Cross-frequency coupling (CFC) is thought to play an important role in communication across distant brain regions. However, neither the mechanism of its generation nor the influence on the underlying spiking dynamics is well understood. Here, we inve
Externí odkaz:
http://arxiv.org/abs/1903.12155
Autor:
Orr, Derek, Ermentrout, Bard
Publikováno v:
Phys. Rev. E 99, 052218 (2019)
In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells. We first show that one excitable and one oscillatory cell will exhib
Externí odkaz:
http://arxiv.org/abs/1901.02854
Akademický článek
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Autor:
Park, Youngmin, Ermentrout, Bard
We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximation to derive equations for the phase-difference between a pair of osci
Externí odkaz:
http://arxiv.org/abs/1603.02406
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2019 Dec . 377(2160), 1-16.
Externí odkaz:
https://www.jstor.org/stable/26838356
Autor:
DeVille, Lee, Ermentrout, Bard
We consider the existence of non-synchronized fixed points to the Kuramoto model defined on sparse networks: specifically, networks where each vertex has degree exactly three. We show that "most" such networks support multiple attracting phase-locked
Externí odkaz:
http://arxiv.org/abs/1512.06140
Publikováno v:
Journal of Computational Neuroscience: Volume 38, Issue 1 (2015), Page 67-82
In this paper we provide two representations for stochastic ion channel kinetics, and compare the performance of exact simulation with a commonly used numerical approximation strategy. The first representation we present is a random time change repre
Externí odkaz:
http://arxiv.org/abs/1402.2584