Arthur Sherman

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The Geometry of Bursting in the Dual Oscillator Model of Pancreatic Β-cells

Pranay Goel, Arthur Sherman, A. Sherman, 2009, SIAM J. Appl. Dyn. Syst..

Multiscale Modeling of Electrical and Intracellular Activity in the Pancreas: The Islet Tridomain Equations

Avner Friedman, Pranay Goel, Arthur Sherman, 2009, Multiscale Model. Simul..

Calcium and Metabolic Oscillations in Pancreatic Islets: Who's Driving the Bus?

Richard Bertram, Arthur Sherman, Margaret Watts, 2014, SIAM J. Appl. Dyn. Syst..

Deciphering the regulation of P2X4 receptor channel gating by ivermectin using Markov models

Arthur Sherman, Anmar Khadra, Laurent Mackay, 2017, PLoS Comput. Biol..

A Gradient Random Walk Method for Two-Dimensional Reaction-Diffusion Equations

Arthur Sherman, Michael Mascagni, 1994, SIAM J. Sci. Comput..

Asymptotic Analysis of Buffered Calcium Diffusion near a Point Source

Robert M. Miura, Arthur Sherman, Gregory D. Smith, 2001, SIAM J. Appl. Math..

Mathematical Modelling. A Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences (D. N. P. Murthy, N. W. Page, and E. Y. Rodin)

Arthur Sherman, 1991, SIAM Rev..

Population Dynamics of Synaptic Release Sites

Richard Bertram, Arthur Sherman, R. Bertram, 1998, SIAM J. Appl. Math..

Dynamical complexity and temporal plasticity in pancreatic gβb-cells

Richard Bertram, Arthur Sherman, R. Bertram, 2000, Journal of Biosciences.

Paracrine regulation of glucagon secretion: the β/α/δ model.

Arthur Sherman, Margaret Watts, Ofer Kimchi, 2016, American journal of physiology. Endocrinology and metabolism.

Channels, Coupling, and Synchronized Rhythmic Bursting Activity

Arthur Sherman, John Rinzel, Cynthia L. Stokes, 1992 .

CROSS-CURRENTS BETWEEN BIOLOGY AND MATHEMATICS: THE CODIMENSION OF PSEUDO-PLATEAU BURSTING.

Arthur Sherman, Krasimira Tsaneva-Atanasova, Hinke M Osinga, 2012, Discrete and continuous dynamical systems. Series A.

NEGATIVE CALCIUM FEEDBACK: THE ROAD FORM CHAY-KEIZER

Richard Bertram, Arthur Sherman, R. Bertram, 2005 .

A calcium-based phantom bursting model for pancreatic islets

Richard Bertram, Arthur Sherman, R. Bertram, 2004, Bulletin of mathematical biology.

Three roads to islet bursting: emergent oscillations in coupled phantom bursters.

Arthur Sherman, A. Sherman, D. Mears, 2004, Biophysical journal.

Full system bifurcation analysis of endocrine bursting models.

Arthur Sherman, Krasimira Tsaneva-Atanasova, Thorsten Riess, 2010, Journal of theoretical biology.

Glucose Dose Response of Pancreatic β-Cells: Experimental and Theoretical Results

Arthur Sherman, A. Sherman, P. B. Carroll, 1990 .

Calcium and glycolysis mediate multiple bursting modes in pancreatic islets.

Min Zhang, Paul Smolen, Richard Bertram, 2004, Biophysical journal.

Cellularity and Adipogenic Profile of the Abdominal Subcutaneous Adipose Tissue From Obese Adolescents: Association With Insulin Resistance and Hepatic Steatosis

Samuel W. Cushman, Arthur Sherman, Sonia Caprio, 2010, Diabetes.

Interaction of glycolysis and mitochondrial respiration in metabolic oscillations of pancreatic islets.

Richard Bertram, Arthur Sherman, Morten Gram Pedersen, 2007, Biophysical journal.

Calcium and Membrane Potential Oscillations in Pancreatic-Cells

Arthur Sherman, A. Sherman, 2000 .

Resetting Behavior in a Model of Bursting in Secretory Pituitary Cells: Distinguishing Plateaus from Pseudo-Plateaus

Arthur Sherman, Andrew LeBeau, Hinke M Osinga, 2008, Bulletin of mathematical biology.

The Phantom Burster Model for Pancreatic β-Cells

Richard Bertram, Arthur Sherman, T. A. Kinard, 2000 .

Dynamical systems theory in physiology

Arthur Sherman, A. Sherman, 2011, The Journal of general physiology.

Mechanism of spontaneous and receptor-controlled electrical activity in pituitary somatotrophs: experiments and theory.

Arthur Sherman, Krasimira Tsaneva-Atanasova, A. Sherman, 2007, Journal of neurophysiology.

Intra- and inter-islet synchronization of metabolically driven insulin secretion.

Richard Bertram, Arthur Sherman, Morten Gram Pedersen, 2005, Biophysical journal.

Glucose Metabolism, Islet Architecture, and Genetic Homogeneity in Imprinting of [Ca2+]i and Insulin Rhythms in Mouse Islets

Arthur Sherman, Matthew J. Merrins, Leslie S. Satin, 2009, PloS one.

Integrative modeling of the pancreatic β‐cell

Richard Bertram, Arthur Sherman, R. Bertram, 2005 .

Newcomer insulin secretory granules as a highly calcium-sensitive pool

Arthur Sherman, Morten Gram Pedersen, A. Sherman, 2009, Proceedings of the National Academy of Sciences.

Identifying the targets of the amplifying pathway for insulin secretion in pancreatic beta-cells by kinetic modeling of granule exocytosis.

Arthur Sherman, Shaokun Wang, A. Sherman, 2008, Biophysical journal.

The Ca2+ dynamics of isolated mouse beta-cells and islets: implications for mathematical models.

Min Zhang, Richard Bertram, Arthur Sherman, 2003, Biophysical journal.

A simplified model for mitochondrial ATP production.

Richard Bertram, Arthur Sherman, R. Bertram, 2006, Journal of theoretical biology.

Slow variable dominance and phase resetting in phantom bursting.

Richard Bertram, Arthur Sherman, Margaret Watts, 2011, Journal of theoretical biology.

From spikers to bursters via coupling: Help from heterogeneity

Arthur Sherman, A. Sherman, G. Vries, 2001, Bulletin of mathematical biology.

New and corrected simulations of synaptic facilitation.

Arthur Sherman, Victor Matveev, Robert S Zucker, 2002, Biophysical journal.