2014
DOI: 10.4161/19382014.2014.949195
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Mathematical models of electrical activity of the pancreatic β-cell: A physiological review

Abstract: Mathematical modeling of the electrical activity of the pancreatic β-cell has been extremely important for understanding the cellular mechanisms involved in glucose-stimulated insulin secretion. Several models have been proposed over the last 30 y, growing in complexity as experimental evidence of the cellular mechanisms involved has become available. Almost all the models have been developed based on experimental data from rodents. However, given the many important differences between species, models of human… Show more

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Cited by 54 publications
(48 citation statements)
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References 143 publications
(221 reference statements)
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“…These factors may be associated with impaired extracellular calcium uptake and impaired intracellular calcium release from ER (http://www.kegg.jp/kegg-bin/highlight_pathway?scale=1.0& map=map04911&keyword=insulin secretion). Impaired extracellular calcium uptake and impaired intracellular calcium release from the ER may contribute to impaired insulin and pancreatic secretion (12,13). PLC and CREB were associated with the promotion of insulin secretion and synthesis (14,15).…”
Section: A B Mir-26a-5p Mir-26b-5p Mir-27a-3p and Mir-148b-3pmentioning
confidence: 99%
“…These factors may be associated with impaired extracellular calcium uptake and impaired intracellular calcium release from ER (http://www.kegg.jp/kegg-bin/highlight_pathway?scale=1.0& map=map04911&keyword=insulin secretion). Impaired extracellular calcium uptake and impaired intracellular calcium release from the ER may contribute to impaired insulin and pancreatic secretion (12,13). PLC and CREB were associated with the promotion of insulin secretion and synthesis (14,15).…”
Section: A B Mir-26a-5p Mir-26b-5p Mir-27a-3p and Mir-148b-3pmentioning
confidence: 99%
“…A comprehensive and critical nonmathematical overview of the multiple experi-mental and theoretical models that have been advanced to interpret the complex pattern of ␤-cell firing (e.g., Refs. 44,45,121,159,293,391,534) has recently been published (151). The most comprehensive current mathematical construction, the Dual Oscillator Model, proposes interactions between three modules: glycolysis, the mitochondrion, and the plasma membrane (46,349,534).…”
Section: Model Buildingmentioning
confidence: 99%
“…The aforementioned first two steps in the transduction pathway, i.e., the change in the MP and the change in [Ca 2+ ] c , both occur in the form of oscillations that are tightly coupled within a beta cell [4,7]. In addition to the activity of voltage-dependent calcium channels, the shape of both MP and [Ca 2+ ] c oscillations seems to be determined also by the uptake and release of Ca 2+ by internal stores as well as by the flux of Ca 2+ across the plasma membrane mediated by voltage-independent calcium channels, exchangers and pumps [6,8,9]. The exact quantitative contribution of these processes in shaping [Ca 2+ ] c oscillations under stimulation with glucose or other hormonal and neuronal secretagogues in beta cells of various species and different experimental models is a matter of ongoing investigations [6].…”
Section: Introductionmentioning
confidence: 99%