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Slow variable dominance and phase resetting in phantom bursting |
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| Authors: | Watts Margaret Tabak Joel Zimliki Charles Sherman Arthur Bertram Richard |
| Affiliation: | a Department of Mathematics, Florida State University, Tallahassee, FL, USA b Department of Biological Science, Florida State University, Tallahassee, FL, USA c Artificial Pancreas Working Group, General Hospital Devices Branch, US Food and Drug Administration, Silver Spring, MD, USA d Laboratory of Biological Modeling, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health, Bethesda, MD, USA e Department of Mathematics, and Programs in Neuroscience and Molecular Biophysics, Florida State University, Tallahassee, FL, USA |
| Abstract: | Bursting oscillations are common in neurons and endocrine cells. One type of bursting model with two slow variables has been called ‘phantom bursting’ since the burst period is a blend of the time constants of the slow variables. A phantom bursting model can produce bursting with a wide range of periods: fast (short period), medium, and slow (long period). We describe a measure, which we call the ‘dominance factor’, of the relative contributions of the two slow variables to the bursting produced by a simple phantom bursting model. Using this tool, we demonstrate how the control of different phases of the burst can be shifted from one slow variable to another by changing a model parameter. We then show that the dominance curves obtained as a parameter is varied can be useful in making predictions about the resetting properties of the model cells. Finally, we demonstrate two mechanisms by which phase-independent resetting of a burst can be achieved, as has been shown to occur in the electrical activity of pancreatic islets. |
| Keywords: | Bursting Multi-scale Islet Oscillations |
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