Classification of bursting patterns: A tale of two ducks

M Desroches, J Rinzel, S Rodrigues - PLoS computational biology, 2022 - journals.plos.org
Bursting is one of the fundamental rhythms that excitable cells can generate either in
response to incoming stimuli or intrinsically. It has been a topic of intense research in …

[图书][B] Models of calcium signalling

G Dupont, M Falcke, V Kirk, J Sneyd - 2016 - Springer
The interactions between mathematics and physiology have a long and illustrious history, of
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …

Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting

T Vo, R Bertram, M Wechselberger - SIAM Journal on Applied Dynamical …, 2013 - SIAM
Pseudo-plateau bursting is a type of oscillatory waveform associated with mixed mode
dynamics in slow/fast systems and commonly found in neural bursting models. In a recent …

[HTML][HTML] Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells

H Baldemir, D Avitabile… - … in Nonlinear Science and …, 2020 - Elsevier
Inner hair cells (IHCs) are excitable sensory cells in the inner ear that encode acoustic
information. Before the onset of hearing IHCs fire calcium-based action potentials that trigger …

A showcase of torus canards in neuronal bursters

J Burke, M Desroches, AM Barry, TJ Kaper… - The Journal of …, 2012 - Springer
Rapid action potential generation-spiking-and alternating intervals of spiking and
quiescence-bursting-are two dynamic patterns commonly observed in neuronal activity. In …

Bursting dynamics in a state controlled cellular neural network based MLC circuit with periodic forcing signals

N Ma, J Song, Z Zhang, Y Yu - Communications in Nonlinear Science and …, 2024 - Elsevier
In order to investigate the bursting dynamics as well as generating mechanism in cellular
neural networks (CNN), a state controlled cellular neural network (SCsingle bondCNN) …

Conversion of spikers to bursters in pituitary cell networks: Is it better to disperse for maximum exposure or circle the wagons?

M Fazli, R Bertram - PLOS Computational Biology, 2024 - journals.plos.org
The endocrine cells of the pituitary gland are electrically active, and in vivo they form small
networks where the bidirectional cell-cell coupling is through gap junctions. Numerous …

Mixed-mode oscillations and bifurcation analysis in a pituitary model

F Zhan, S Liu, X Zhang, J Wang, B Lu - Nonlinear Dynamics, 2018 - Springer
Bursting is an intrinsically electrical activity in excitable cells such as endocrine cells and
many types of neurons. Our purpose is to recognize the pituitary model from a new …

A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells

T Vo, J Tabak, R Bertram, M Wechselberger - Journal of Computational …, 2014 - Springer
The electrical activity of endocrine pituitary cells is mediated by a plethora of ionic currents
and establishing the role of a single channel type is difficult. Experimental observations have …

The relationship between two fast/slow analysis techniques for bursting oscillations

W Teka, J Tabak, R Bertram - Chaos: An Interdisciplinary Journal of …, 2012 - pubs.aip.org
Bursting oscillations in excitable systems reflect multi-timescale dynamics. These
oscillations have often been studied in mathematical models by splitting the equations into …