Belair Jacques, Glass Leon, An Der Heiden Uwe, Milton John
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.
Chaos. 1995 Mar;5(1):1-7. doi: 10.1063/1.166069.
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.
动态疾病的特征是生理过程的定性动力学突然发生变化，从而导致异常动力学和疾病。因此，非线性动力学的数学领域与医学之间存在自然的匹配关系。本文总结了动态疾病研究的进展，重点介绍了1994年2月在加拿大魁北克省蒙特特里姆布兰举行的北约高级研究研讨会。我们描述了目前正在进行的国际努力，以识别动态疾病并从非线性动力学的角度研究这些疾病。线性和非线性时间序列分析与动力学中的分岔分析相结合，正被用于帮助理解病理节律的机制，并为更好的诊断和治疗技术带来希望。（c）1995年美国物理研究所。
