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IMA Workshop
Calcium Dynamics in Cells
February 9-13, 1998


A. Goldbeter
Joel Keizer, Chair
John Rinzel

Dynamic changes in cellular free-calcium concentrations are essential for a great variety of cellular processes, including intra- and extra-cellular signalling processes, muscle contraction, and cell motility. Using modern techniques in calcium imaging, experimentalists have recently resolved spatio-temporal patterns (oscillations and various types of nonlinear waves) in both isolated cells and tissue. These dynamical phenomena involve specific molecular mechanisms controlling calcium influx and efflux through the cell's outer membrane (voltage-gated ion channels, calcium exhangers and pumps) as well as calcium release mechanisms from internal compartments (sarcoplasmic or endoplasmic reticulum and mitochondria). A number of complex signalling pathways coupling these mechanisms have been uncovered in the laboratory, and realistic models of these processes are being developed. The workshop was preceded by a two-day tutorial that provides the necessary biological background for non-experts and an overview of current models. Workshop participants included a mix of experimental cell biologists, theorists currently developing mathematical models, and mathematicians from the dynamical systems community. The workshop explored important current biological questions such as the role of local calcium gradients in cells, how the stochastic properties of individual molecular entities (e.g., ion channels and hormone receptors) lead to organized dynamical behavior, and how calcium signals are transduced into physiological function. The workshop closed with an extended discussion of new mathematical challenges that this area presents in dynamical systems theory.

Click on the titles to find abstracts and/or links to presentation materials

W. Miller, R. Gulliver,
Welcome and Orientation
Morning session: Calcium Oscillations: Mechanisms and Functions Joel Keizer, chair
Joel Keizer,
Univ. of California, Davis
Overview and Introduction
Andrew Thomas,
Univ. of Medicine & Dentistry New Jersey
Properties and Functions of Calcium Oscillations in the Liver
Richard Nuccitelli,
Univ. of California, Davis
A confocal microscope study of the fertilization-induced calcium wave in the frog egg
Nancy Allbritton,
Univ. of California, Irvine
Subcellular Measurement of Inositol 1,4,5-Trisphosphate in Xenopus Oocytes
Afternoon session: The ``Virtual Cell'' Project Joel Keizer, chair
Leslie Loew,
Univ. of Connecticut Health Center
The Virtual Cell
Morning session: Intracellular Calcium Waves Richard Nuccitelli, chair
James Lechleiter,
Univ. of Texas Health Sci. Ctr., San Antonio
The impact of Ca2+ sequestration and Ca2+ buffering on Ca2+ wave dynamics
James Russell,
Nat. Inst. Child Health & Human Devt.
Specialized unitary Ca2+ release sites that support long-distance propagation of agonist-evoked calcium waves in glial cells
Genevieve Dupont,
Université Libre de Bruxelles
Intracellular Ca2+ oscillations: modelling their role at fertilization in mammals and the possible mechanisms underlying complex oscillatory behaviour
Afternoon session: Intercellular Calcium Waves Andrew Thomas, chair
Michael Sanderson,
Univ. of Massachusetts Med. Ctr.
Intercellular Ca2+ waves: Mechanisms and function
Andrew Charles,
UCLA School of Medicine
Spiral Intercellular Calcium Waves in Brain Slices
James Sneyd,
University of Michigan
IP3 receptor phosphorylation and calcium oscillations in pancreatic acinar cells
Morning session: Calcium and Membrane Potential Illani Atwater, chair
Eduardo Rojas,
Cell Membrane Voltage-Insensitive Calcium Channels: Properties and Role in Excitable and Non-Excitable Cells
Stanko Stojilkovic,
Endocrinology and Reproduction, NIH
Calcium Mobilization and Entry Channels of Rat Pituitary Cells
Mark Pernarowski,
University of Montana
A mathematical caricature of multiple slow calcium processes in a model exhibiting bursting
John Hunter,
Univ. of Califonia, Davis
Spatial Patterns in Bursting Systems
Oscillations and Waves
Informal Group Discussion,
Albert Goldbeter, chair
Discussion Leaders: Genevieve Dupont, FU Brussels; James Sneyd, Michigan; Yue-Xian Li, UBC
Morning session: Calcium Puffs and Calcium Sparks Hans Othmer, chair
Joel Keizer,
Univ. of California, Davis
Elementary events of intracellular calcium liberation
Gregory Smith,
NIH Mathematical Research Branch, NIDDK
A Simple Numerical Model of Calcium Spark Formation and Detection in Cardiac Myocytes
Afternoon session: Calcium Sparks and Calcium Waves Yue-Xian Li, chair
Hans Othmer,
University of Utah
The Effect of Heterogeneously-Distributed RyR Channels on Calcium Dynamics in Cardiac Myocyte
John Pearson,
Los Alamos National Lab.
Fire-Diffuse-Fire and the Dynamics of Intracellular Calcium Waves
Afternoon session: Calcium Gradients and Secretion, I
Robert Zucker,
Univ. of Califonia, Berkeley
Presynaptic [Ca] Diffusion Simulations and Models of Synaptic Facilitation
Artie Sherman,
NIH Mathematical Research Branch, NIDDK
Calcium Triggers Secretion, But Which Calcium and How?
Morning session: Calcium Gradients and Secretion, II Gregory Smith, chair
Illani Atwater,
Calcium Stores and Calcium Influx: Interactions in the Control of Insulin Secretion
Yue-Xian Li,
Univ. of British Columbia
Sensing and Refilling Calcium Stores in an Excitable Gland Cell: Can math models make nontrivial predictions about biology?
Afternoon session: Gradients, Sparks and Secretion
Informal Discussion,
Joel Keizer, chair
Discussion Leaders: Artie Sherman; John Pearson, LANL; Gregory Smith, NIH; Hans Othmer, Utah

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1997-1998 Emerging Applications of Dynamical Systems

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