Dynamical systems theory in physiology

Readers of the current issue will find something unfamiliar, perhaps tantalizing, perhaps unsettling. I am referring to the articles by Cha et al. (see [“Ionic mechanisms and Ca2+ dynamics…”][1] and [“Time-dependent changes in membrane excitability…”][2]). The first of these articles is

• Publication year

  2011

• Venue

  The Journal of General Physiology

• Publication date

  2011-07-01

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1085/jgp.201110668PMID 21708952PMCID 3135326
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Time-dependent changes in membrane excitability during glucose-induced bursting activity in pancreatic β cells

  2011cited by this paper
• Ionic mechanisms and Ca2+ dynamics underlying the glucose response of pancreatic β cells: a simulation study

  2011cited by this paper
• Computational Cell Biology

  2010cited by this paper
• Full system bifurcation analysis of endocrine bursting models.

  2010cited by this paper
• The Geometry of Bursting in the Dual Oscillator Model of Pancreatic Β-cells

  2009cited by this paper
• Resetting Behavior in a Model of Bursting in Secretory Pituitary Cells: Distinguishing Plateaus from Pseudo-Plateaus

  2008cited by this paper
• Low dose of dopamine may stimulate prolactin secretion by increasing fast potassium currents

  2007cited by this paper
• Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cell.

  2003cited by this paper
• Modeling of Ca2+ flux in pancreatic beta-cells: role of the plasma membrane and intracellular stores.

  2003cited by this paper
• Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students

  2002cited by this paper
• Global Analysis of Dynamical Systems

  2001cited by this paper
• Paradoxical Role of Large-Conductance Calcium-Activated K+ (BK) Channels in Controlling Action Potential-Driven Ca2+ Entry in Anterior Pituitary Cells

  2001cited by this paper
• An unfolding theory approach to bursting in fast–slow systems

  2001cited by this paper
• Construction of a genetic toggle switch in Escherichia coli

  2000cited by this paper
• Mathematical physiology

  1998cited by this paper
• Topological and phenomenological classification of bursting oscillations.

  1995cited by this paper
• Bursting excitable cell models by a slow Ca2+ current.

  1990cited by this paper
• ATP-sensitive potassium channel and bursting in the pancreatic beta cell. A theoretical study.

  1989cited by this paper
• Analysis of neural excitability and oscillations

  1989cited by this paper
• Methods in Neuronal Modeling

  1988cited by this paper
• A Formal Classification of Bursting Mechanisms in Excitable Systems

  1987cited by this paper
• Dissection of a model for neuronal parabolic bursting

  1987cited by this paper
• Mathematical Topics in Population Biology, Morphogenesis and Neurosciences

  1987cited by this paper
• Prediction of the glucose-induced changes in membrane ionic permeability and cytosolic Ca2+ by mathematical modeling.

  1986cited by this paper
• Bursting oscillations in an excitable membrane model

  1985cited by this paper
• Minimal model for membrane oscillations in the pancreatic beta-cell.

  1983cited by this paper
• Voltage dependence of rhythmic plateau potentials of pancreatic islet cells.

  1981cited by this paper
• A quantitative description of membrane current and its application to conduction and excitation in nerve

  1952cited by this paper

• Self-Supervised Dynamical System Representations for Physiological Time-Series

  2025cites this paper
• Relation Between Obesity and Type 2 Diabetes: Evolutionary Insights, Perspectives and Controversies

  2024cites this paper
• A Continuous Representation Of Switching Linear Dynamic Systems For Accurate Tracking

  2023cites this paper
• Reconstructing computational system dynamics from neural data with recurrent neural networks

  2023cites this paper
• Reconstructing Computational Dynamics from Neural Measurements with Recurrent Neural Networks

  2022cites this paper
• Validity of the general systems theory for applications in management

  2022cites this paper
• Machine learning provides insight into models of heterogeneous electrical activity in human beta-cells.

  2022cites this paper
• Causal mechanisms of a scapular stabilization intervention for patients with subacromial pain syndrome: a secondary analysis of a randomized controlled trial

  2022cites this paper
• Quantitative roles of ion channel dynamics on ventricular action potential

  2021cites this paper
• Fast-slow analysis as a technique for understanding the neuronal response to current ramps

  2021cites this paper
• Measurement of scapular prominence in symptomatic dyskinesis using a novel scapulometer: reliability and the relationship to shoulder dysfunction.

  2020cites this paper
• Using optimal control to understand complex metabolic pathways

  2020cites this paper
• Stepping into old age: A dynamic perspective on age identity change in the transition from midlife to older adulthood

  2018cites this paper
• Systems Medicine Disease: Disease Classification and Scalability Beyond Networks and Boundary Conditions

  2018cites this paper
• ENTROPY EXCHANGE AND ENTANGLEMENT IN THE JAYNES-CUMMINGS MODEL WITH TRANSIENT

  2018cites this paper
• Improving the physiological realism of experimental models

  2016cites this paper
• From global to local: exploring the relationship between parameters and behaviors in models of electrical excitability

  2016influential citation
• Endoplasmic Reticulum- and Plasma-Membrane-Driven Calcium Oscillations

  2016cites this paper
• Bridging Between Experiments and Equations: A Tutorial on Modeling Excitability

  2016cites this paper
• Critical and Theoretical Perspective on Scapular Stabilization: What Does It Really Mean, and Are We on the Right Track?

  2016cites this paper
• Mathematical modeling in neuroendocrinology.

  2015cites this paper
• Facing the challenge of mammalian neural microcircuits: taking a few breaths may help

  2015cites this paper
• Functionality indexes assessed through a simple model of muscle activation, fatigue and recovery

  2014cites this paper
• Facing the challenge of mammalian neural microcircuits: Taking a few breaths may help.

  2014cites this paper
• Raison d’être of insulin resistance: the adjustable threshold hypothesis

  2014cites this paper
• Optimal homeostasis necessitates bistable control

  2012cites this paper
• The myth of genetic enhancement

  2012cites this paper
• The myth of genetic enhancement

  2012cites this paper
• Models of electrical activity: calibration and prediction testing on the same cell.

  2012cites this paper