4.7 Article

Investigating the dynamics of bursting by combining two fast-slow analyses with codimension-2 bifurcations in the embryonic pre-BotC neuron model

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Mechanical

Fast-slow variable dissection with two slow variables related to calcium concentrations: a case study to bursting in a neural pacemaker model

Yuye Li et al.

Summary: This paper proposes a novel fast-slow variable dissection method with two slow variables to analyze complex bursting behavior, addressing issues encountered with traditional methods and providing insights for modulating pathological pain.

NONLINEAR DYNAMICS (2022)

Article Physics, Multidisciplinary

New topological classification of bursting in multi-time-scale Chay-Cook model

E. Zhang et al.

Summary: This study investigates the topological types of bursting discharges in dynamical models with multiple time scales using multi-layered fast-slow analysis. Two parameters are identified in the Chay-Cook model that control the timescales of the system. By combining two different fast-slow analyses, the researchers define the topological types of bursting discharges more accurately. This new definition extends the existing classification and provides a dynamic basis for studying the complexity of information encoding in neuronal systems.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2022)

Article Mathematics

FIRING PATTERNS AND BIFURCATION ANALYSIS OF NEURONS UNDER ELECTROMAGNETIC INDUCTION

Qixiang Wen et al.

Summary: The study explored the mathematical properties of a four-dimensional endocrine neuron model and discovered various dynamic behaviors, including period-adding, period-doubling, and mixed-mode oscillations. The model exhibited more firing activities under strong coupling strength, indicating that endocrine neurons are highly sensitive to changes in external stimuli and current.

ELECTRONIC RESEARCH ARCHIVE (2021)

Article Mathematics, Applied

Complex bursting dynamics in an embryonic respiratory neuron model

Yangyang Wang et al.

Article Mathematics, Interdisciplinary Applications

Complex bursting patterns and fast -slow analysis in a smallest chemical reaction system with two slow parametric excitations

Chengyi Zhou et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Biology

Phantom bursting may underlie electrical bursting in single pancreatic β-cells

Mehran Fazli et al.

JOURNAL OF THEORETICAL BIOLOGY (2020)

Article Biology

Fast-slow analysis of the Integrated Oscillator Model for pancreatic β-cells

Joseph P. McKenna et al.

JOURNAL OF THEORETICAL BIOLOGY (2018)

Article Computer Science, Artificial Intelligence

Multiple modes of electrical activities in a new neuron model under electromagnetic radiation

Mi Lv et al.

NEUROCOMPUTING (2016)

Article Engineering, Mechanical

Model of electrical activity in a neuron under magnetic flow effect

Mi Lv et al.

NONLINEAR DYNAMICS (2016)

Article Engineering, Multidisciplinary

Dynamics of different compound bursting in two phantom bursting mechanism models

Yang ZhuoQin et al.

SCIENCE CHINA-TECHNOLOGICAL SCIENCES (2014)

Article Mathematics, Applied

Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting

Theodore Vo et al.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2013)

Article Mathematical & Computational Biology

The dynamics underlying pseudo-plateau bursting in a pituitary cell model

Wondimu Teka et al.

Journal of Mathematical Neuroscience (2011)

Article Mathematical & Computational Biology

Mixed mode oscillations as a mechanism for pseudo-plateau bursting

Theodore Vo et al.

JOURNAL OF COMPUTATIONAL NEUROSCIENCE (2010)

Article Multidisciplinary Sciences

Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations

Jonathan E. Rubin et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2009)

Article Mathematics, Applied

Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model

Horacio G. Rotstein et al.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2008)

Article Physics, Multidisciplinary

Different types of bursting in Chay neuronal model

Yang ZhuoQin et al.

SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY (2008)

Article Neurosciences

Spike-timing dynamics of neuronal groups

EM Izhikevich et al.

CEREBRAL CORTEX (2004)

Article Computer Science, Artificial Intelligence

Simple model of spiking neurons

EM Izhikevich

IEEE TRANSACTIONS ON NEURAL NETWORKS (2003)

Article Biophysics

The phantom burster model for pancreatic β-cells

R Bertram et al.

BIOPHYSICAL JOURNAL (2000)

Review Mathematics, Interdisciplinary Applications

Neural excitability, spiking and bursting

EM Izhikevich

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2000)