Organizers:

Harold E. Layton
Duke University
Department of Mathematics
layton@math.duke.edu
http://www.math.duke.edu/faculty/layton/

and

Alan M. Weinstein
Cornell University Medical College
Department of Medicine
alan@nephron.med.cornell.edu
http://www.med.cornell.edu/research/htmls/Alan%20M.%20Weinstein.html

This workshop will bring together physiologists and applied mathematicians who share a common interest in solute and water transport and its role in integrated renal function. Topics will include fiber-matrix theory, membrane transport, renal epithelial transport, the urine concentrating mechanism, and renal hemodynamic control. The workshop will seek to facilitate communication and cooperation among participants who may not be aware of each other's research and will provide an introduction to these topics for other biological and mathematical scientists.

Fundamental to the operation of the kidney is the transport of water and solutes through and around cells. The pathways through the cells involve transit across two cell membranes. This membrane transport is often via specialized protein transporters resident within the membrane: ion channels, solute-specific facilitated transporters, or metabolically driven ion pumps. For each of these, there is substantial experimental investigation within the physiology and biophysics communities to characterize the transport dynamics and develop a mathematical theory of its function. These mathematical descriptions constitute the building blocks for models of epithelial transport. The fundamental unit of the kidney is the nephron, a cylinder lined by specialized epithelia which change axially. Hemodynamic control mechanisms enable distal nephron segments to control delivery of fluid by using renal arterial tone to modulate proximal fluid entry. Thus, the questions which relate to whole kidney function are those of interacting epihelia in a special geometry, both axially along the nephron and between apposed nephron segments. Consequently, mathematical models of integrated renal function consist of systems of ordinary or partial differential equations, which are solved numerically or from which qualitative information is extracted through analysis.

WORKSHOP SCHEDULE

All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.

Monday

Tuesday

Wednesday

Thursday

Friday

MONDAY, FEBRUARY 8 Ion Channel Fluxes
8:30 am	Registration and Coffee	Reception Room EE/CS 3-176
9:10 am	Willard Miller, Fred Dulles and Harold Layton	Introduction
9:30 am	Peter C. Jordan Brandeis University	Ionic Energetics in Narrow Channels
10:15-10:45 am	Coffee Break	Reception Room EE/CS 3-176
10:45-11:30 am	Larry S. Liebovitch Florida Atlantic University	The Physical Basis of Ion Channel Kinetics
2:00-2:45 pm	David Levitt University of Minnesota	The Use of Streaming Potential Measurements to Characterize Biological Ion Channels
4:00 pm	IMA Tea	IMA East, 400 Lind Hall A variety of appetizers and beverages will be served.
TUESDAY, FEBRUARY 9 Cotransporter Fluxes
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Donald Loo UCLA School of Medicine	A Kinetic Model for Secondary Active Transport
10:15-10:45 am	Coffee Break	Reception Room EE/CS 3-176
10:45-11:30 am	Philip A. Knauf University of Rochester	Asymmetry and Mechanisms of Anion Transport and Inhibition of the Human Anion Exchange Protein, AE1
2:00 pm	Donald W. Hilgemann University of Texas Southwestern Medical Center	GAT1 (GABA:Na+: Cl-) Cotransport Function: Database Reconstruction with an Alternating Access Model
2:45 pm	Coffee Break	Reception Room EE/CS 3-176
3:15-3:45 pm	Bruce A. Benjamin Oklahoma State University	A Working Mechanism of the Sodium Pump
WEDNESDAY, FEBRUARY 10 Pump Fluxes-Renal Epithelial Transport
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Paul De Weer University of Pennsylvania	Voltage Sensitivity of the Sodium-Potassium Pump: Structural Inferences from Kinetic Observations
10:15-10:45 am	Coffee Break	Reception Room EE/CS 3-176
10:45-11:30 am	Alan M. Weinstein Cornell University	Modeling Epithelial Cell Homeostasis: Steady-state Analysis
Capillary Membrane Fluxes---Fiber Matrix Theory
2:00 pm	William M. Deen MIT	Structural Basis for Glomerular Capillary Permeability
2:45 pm	Coffee Break	Reception Room EE/CS 3-176
3:00 pm	Sheldon Weinbaum CUNY-City College	A New View of Starling's Hypothesis at the Microstructural Level
3:45 pm	Coffee Break	Reception Room EE/CS 3-176
4:00-4:30 pm	Michael F. Flessner University of Rochester	Transport of Macromolecules Across the Peritoneum
THURSDAY, FEBRUARY 11 The Urine Concentrating Mechanism
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Rex L. Jamison Stanford University	Urinary Concentrating Mechanism
10:15-10:45 am	Coffee Break	Reception Room EE/CS 3-176
10:45-11:30 am	Jeff M. Sands Emory University	Urea Transport in the Urine Concentrating Mechanism
11:15 am	Thomas L. Pallone University of Maryland at Baltimore	The Microcirculation of the Renal Medulla
11:45 am	Panel Discussion: Rex L. Jamison, Jeff M. Sands, and Thomas L. Pallone	Meaning of New Experimental Data for the Concentrating Mechanism
2:00 pm	S. Randall Thomas Universite Rene Descartes-Paris V	Net Osmole Production by Inner Medullary (IM) Glycolysis could Contribute Importantly to the Renal Concentrating Mechanism
2:30 pm	Raymond Mejia National Institutes of Health	Mathematical Models in the Study of Epithelial Transport
3:00 pm	Coffee Break	Reception Room EE/CS 3-176
3:30 pm	Reginald P. Tewarson State University of New York	Development of Inner Medullary Mathematical Models of Renal Concentrating Mechanism
4:00-4:30 pm	Harold E. Layton Duke University	The Urine Concentrating Mechanism: Lessons from the Avian Kidney
6:00 pm	Workshop Dinner	Taylor Room, 150 Lind Hall
FRIDAY, FEBRUARY 12 Renal Hemodynamics---Tubuloglomerular Feedback
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Niels-Henrik Holstein-Rathlou University of Copenhagen	Bifurcations in Models of the Tubuloglomerular Feedback Mechanism
10:15-10:45 am	Roland C. Blantz VA Medical Center	Analysis of Generative and Dissipative Influence of Flow Dependence in Tubuloglomerular Feedback (TGF)
10:45 am	Coffee Break	Reception Room EE/CS 3-176
11:15 am	Scott C. Thomson UCSD-San Diego VA Medical Center	Old and New Methods to Study Tubuloglomerular Feedback
2:00 pm	William A. Cupples SMBD-Jewisth General Hospital	Renal Blood Flow Dynamics After NO Synthase Inhibition
2:30 pm	E. Bruce Pitman State University of New York	Tubuloglomerular-feedback Mediated Dynamics in Two Coupled Nephrons
3:00 pm	Coffee Break	Reception Room EE/CS 3-176
3:30-4:00 pm	Leon C. Moore SUNY at Stony Brook	Limit-cycle Oscillations and Tubuloglomerular Feedback Regulation of Distal Sodium Delivery

Monday

Tuesday

Wednesday

Thursday

Friday

LIST OF CONFIRMED PARTICIPANTS

as of 2/3/99

Name	Affiliation	Department
Bruce A. Benjamin	Oaklahoma State University	Department of Pharmacology
Daniel Bentil	University of Vermont	Department of Mathematics & Statistics
Roland C. Blantz	VA Medical Center	Department Nephrol
Jun Choe	Korea Advanced Institute of Science & Technology	Department of Mathematics
William A. Cupples	SMBD-Jewish General Hospital	Department of Medicine
Paul De Weer	University of Pennsylvania	Department of Physiology
William M. Deen	MIT	Department of Chemical Engineering
Michael F. Flessner	University of Rochester Medical Center	Department of Medical, Nephrol Unit
Shay Gueron	Technion-I.I.T.	Department of Mathematics
Donald W. Hilgemann	University of Texas Southwestern Medical Center	Department of Physiology
N-H. Holstein-Rathlou	University of Copenhagen	Department of Medical Physiology
Rex L. Jamison	Stanford University	Department of Medicine
Peter C. Jordan	Brandeis University	Department of Chemistry
Philip A. Knauf	University of Rochester Medical Center	Department of Biophysics
Harold Layton	Duke University	Department of Mathematics
Glenn Ledder	University of Nebraska-Lincoln	Mathematics and Statistics
David Levitt	University of Minnesota	Department of Physiology
Larry S. Liebovitch	Florida Atlantic University	Center Complex Systems
Donald Loo	UCLA School of Medicine	Department of Physiology
Raymond Majia	National Institutes of Health	Laboratory of Kidney and Electrolyte Metabolism
In-Hak Moon	SUNY at Stony Brook	Applied Mathematics and Statistics
Leon C. Moore	SUNY at Stony Brook	Department of Physiology and Biophysics
Thomas L. Pallone	University of Maryland at Baltimore	Department of Medicine and Nephrol
Bruce E. Pitman	State University of New York	Department of Mathematics
Abir Z. Qamhiyah	Iowa State University	Mechanical Engineering
Jeff M. Sands	Emory University School of Medicine	Department of Medicine, Renal Division
Reinald P. Tewarson	State University of New York	Department of Applied Math and Statistics
Randall S. Thomas	INSERM	Fac Med Necker
Scott C. Thomson	UCSD-San Diego VA Medical Center	Deparment of Nephrology
Sheldon Weinbaum	The City College of New York	Department of Mechanical Engineering
Alan M. Weinstein	Cornell University Medical College	Department of Physiology
Vicki M. Whitledge

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1998-1999 Mathematics in Biology

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