Dynamical disease: Identification, temporal aspects and treatment strategies of human illness.
Dynamical diseases are characterized by sudden changes in the qualitative dynamics of physiological processes, leading to abnormal dynamics and disease. Thus, there is a natural matching between the mathematical field of nonlinear dynamics and medicine. This paper summarizes advances in the study of dynamical disease with emphasis on a NATO Advanced Research Worshop held in Mont Tremblant, Quebec, Canada in February 1994. We describe the international effort currently underway to identify dynamical diseases and to study these diseases from a perspective of nonlinear dynamics. Linear and nonlinear time series analysis combined with analysis of bifurcations in dynamics are being used to help understand mechanisms of pathological rhythms and offer the promise for better diagnostic and therapeutic techniques. (c) 1995 American Institute of Physics.
Belair
Jacques
J
Centre for Nonlinear Dynamics in Physiology and Medicine, McGill University, 3655 Drummond Street, Montreal, Quebec H3G 1Y6, CanadaDepartement de Mathematiques et de Statistique, Centre de Recherches Mathematique, Universite de Montreal, Montreal, Quebec H3C 3J7, CanadaCentre for Nonlinear Dynamics in Physiology and Medicine, McGill University, 3655 Drummond Street, Montreal, Quebec H3G 1Y6, CanadaDepartment of Physiology, McGill University, 3655 Drummond Street, Montreal, Quebec H3G 1Y6, CanadaDepartment of Mathematics, University of Witten/Herdecke, Stockumer Strasse 10, D 5810 Witten, GermanyCentre for Nonlinear Dynamics in Physiology and Medicine, McGill University, 3655 Drummond Street, Montreal, Quebec H3G 1Y6, CanadaDepartment of Neurology and Committee on Neurobiology, The University of Chicago Hospitals, 5841 South Maryland Avenue, Room B 206, Chicago, Illinois 60637.
Glass
Leon
L
An Der Heiden
Uwe
U
Milton
John
J