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Based on the conference Mathematical Modelling in Medicine, this text presents the state of the art in mathematical modelling in physiology and medicine. It is divided into four distinct parts which cover mathematical models of heart, arterial tree, baroreceptor control and applications for stimulators. The mathematical models covering these four topics are contained in a number of articles in each part. In addition, historical reviews on the heart, arterial tree and baroreceptors are also included in the articles offering a broader view and understanding of the current physiological models....

The idea of writing this book appeared when I was working on some problems related to representations of physically relevant infinite - mensional groups of operators on physically relevant Hilbert spaces. The considerations were local, reducing the subject to dealing with representations of infinite-dimensional Lie algebras associated with the associated groups. There is a large number of specialized articles and books on parts of this subject, but to our suprise only a few represent the point of view given in this book. Moreover, none of the written material was self-contained. At present,...