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....