ArticleThe Journal of general physiology2011
Time-dependent changes in membrane excitability during glucose-induced bursting activity in pancreatic β cells.
Article in The Journal of general physiology, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Exploring pancreatic beta-cell subgroups and their connectivity.Nature metabolism · 2024Review
- Functional architecture of pancreatic islets identifies a population of first responder cells that drive the first-phase calcium response.PLoS biology · 2022Article
- Identification of structures for ion channel kinetic models.PLoS computational biology · 2021Article
- Small subpopulations of β-cells do not drive islet oscillatory [Ca2+] dynamics via gap junction communication.PLoS computational biology · 2021Article
- How Heterogeneity in Glucokinase and Gap-Junction Coupling Determines the Islet [CaBiophysical journal · 2019Article
- Mechanisms Underlying Spontaneous Action Potential Generation Induced by Catecholamine in Pulmonary Vein Cardiomyocytes: A Simulation Study.International journal of molecular sciences · 2019Article
- Pancreatic β-Cell Electrical Activity and Insulin Secretion: Of Mice and Men.Physiological reviews · 2018Review
- Beta-cell hubs maintain CaIslets · 2018Article
- Spatially Organized β-Cell Subpopulations Control Electrical Dynamics across Islets of Langerhans.Biophysical journal · 2017Article
- Phase Analysis of Metabolic Oscillations and Membrane Potential in Pancreatic Islet β-Cells.Biophysical journal · 2016Article
- Intrinsic islet heterogeneity and gap junction coupling determine spatiotemporal Ca²⁺ wave dynamics.Biophysical journal · 2014Article
- Modeling K,ATP--dependent excitability in pancreatic islets.Biophysical journal · 2014Article
- Phase transitions in the multi-cellular regulatory behavior of pancreatic islet excitability.PLoS computational biology · 2014Article
- Cellular communication and heterogeneity in pancreatic islet insulin secretion dynamics.Trends in endocrinology and metabolism: TEM · 2014Review
- Mathematical models of electrical activity of the pancreatic β-cell: a physiological review.Islets · 2014Review
- Slow oscillations of KATP conductance in mouse pancreatic islets provide support for electrical bursting driven by metabolic oscillations.American journal of physiology. Endocrinology and metabolism · 2013Article
- Ionic mechanisms and Ca2+ dynamics underlying the glucose response of pancreatic β cells: a simulation study.The Journal of general physiology · 2011Article
- Dynamical systems theory in physiology.The Journal of general physiology · 2011Article
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5 authors.
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No grant is acknowledged in the PubMed record.
Abstract
In our companion paper, the physiological functions of pancreatic β cells were analyzed with a new β-cell model by time-based integration of a set of differential equations that describe individual reaction steps or functional components based on experimental studies. In this study, we calculate steady-state solutions of these differential equations to obtain the limit cycles (LCs) as well as the equilibrium points (EPs) to make all of the time derivatives equal to zero. The sequential transitions from quiescence to burst-interburst oscillations and then to continuous firing with an increasing glucose concentration were defined objectively by the EPs or LCs for the whole set of equations. We also demonstrated that membrane excitability changed between the extremes of a single action potential mode and a stable firing mode during one cycle of bursting rhythm. Membrane excitability was determined by the EPs or LCs of the membrane subsystem, with the slow variables fixed at each time point. Details of the mode changes were expressed as functions of slowly changing variables, such as intracellular [ATP], [Ca(2+)], and [Na(+)]. In conclusion, using our model, we could suggest quantitatively the mutual interactions among multiple membrane and cytosolic factors occurring in pancreatic β cells.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the Socratic graph.