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Sponsored by the European Commission	Dynamical Systems in Physiology and Medicine
COURSES ON LINE

Modelling aspects of airflow and gas exchange in the lung

• Flows through deformable airways

O.Jensen (.pdf)

Models for the Glucose-Insulin system

• A model of the Euglycemic Hyperinsulinemic Clamp explains late-rising but normally large glucose disposal rate in obesity
  A. De Gaetano (.doc)
• Some considerations on the mathematical modelling of the Intra-Venous Glucose Tolerance Test
  A. De Gaetano (.doc)
• Modelling the Intra-Venous Glucose Tolerance Test: a global study for a single-distributed-delay model.
  A.Mukhopadhyay (.doc)
References
• Jeppe Sturis, Eve Van Cauter, John D. Blackman, and Kenneth S. Polonsky: Entrainment of Pulsatile Insulin Secretion by Oscillatory Glucose Infusion, The Journal of Clinical Investigation 87: 439-445, 1991.
• Jeppe Sturis, Kenneth S. Polonsky, Erik Mosekilde, and Eve Van Cauter: Computer Model for Mechanisms Underlying Ultradian Oscillations of Insulin and Glucose, American Journal of Physiology 260 (Endocrinology and Metabolism 23): E801-E809, 1991
• Niall M. O'Meara, Jeppe Sturis, Eve Van Cauter, and Kenneth S. Polonsky: Lack of Control by Glucose of Ultradian Insulin Secretory Oscillations in Impaired Glucose Tolerance and in Non-Insulin-Dependent Diabetes Mellitus, The Journal of Clinical Investigation 92(1): 262-271, 1993.
• Jeppe Sturis, Carsten Knudsen, Niall M. O'Meara, Jesper S. Thomsen, Erik Mosekilde, Eve Van Cauter, and Kenneth S. Polonsky: Phase-Locking Regions in a Forced Model of Slow Insulin and Glucose Oscillations, Chaos 5(1):193-199, 1995.
• Jeppe Sturis, André J. Scheen, Rachel Leproult, Kenneth S. Polonsky, and Eve Van Cauter: 24-hour Glucose Profiles During Continuous or Oscillatory Insulin Infusion: Demonstration of the Functional Significance of Ultradian Insulin Oscillations, The Journal of Clinical Investigation 95(4):1464-1471, 1995.
• David A. Ehrmann, Jeppe Sturis, Maria M. Byrne, Theodore Karrison, Robert L. Rosenfield, and Kenneth S. Polonsky: Insulin Secretory Defects in Polycystic Ovary Syndrome: Relationship to Insulin Sensitivity and Family History of Non�?"Insulin- dependent Diabetes Mellitus, The Journal of Clinical Investigation 96(1):520-527, 1995.
• Jeppe Sturis and Morten Brøns: Local and Global Bifurcations at Infinity in Models of Glycolytic Oscillations, Journal of Mathematical Biology 36(2):119-132, 1997.
• Iva Maria Toli�?, Erik Mosekilde, and Jeppe Sturis: �?oModeling the Insulin-Glucose Feedback System: The Significance of Pulsatile Insulin Secretion,�?� Journal of Theoretical Biology 207(3): 361-375, 2000.

Neuronal Modelling

• Neuronal Modelling

K. Pakdaman (.ppt)

Delay Differential Equation

• Geometric stability switch criteria in delay differential system with delay dependent parameters

E. Beretta (.pdf)
• Extension of a Geometric Stability Switch Criterion

E. Beretta (.pdf)
• bst01911.pdf

E. Beretta (.pdf)
• HIV Infection Models with Delay

S. Ruan (.pdf)
• Unfolding Complexity: Hereditory Dynamical Systems-New Bifurcation Schemes and High Dimensional Chaos

U. An Der Heiden (.pdf)

Numerical methods

• Stiff System

R. Bermejo (.pdf)
• Numerical methods for time dependent partial differential equations

R. Bermejo (.pdf)
• Numerical solution of Structured Population Models

L.M. Abia (.pdf)
• Numerical Methods for ODE's and DDE's

L.M. Abia (.pdf)

Comparing ordinary and delay differrential equations models for human gastric acid secretion
D. Kirschner (.ppt)

Andre' Longtin's Lecture Notes Ander Heiden's Lecture Notes Edoardo Beretta's Lecture Notes Khashayar Pakdaman's Lecture Notes