Mathematical Modelling in Medicine

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 models presented are all based on fundamental physiological principles. The work demonstrates that the increase in popularity and success of mathematical models is not solely a consequence of the development and spread of fast computers, making easier access to simulations of complex systems. An important element for this success is the precise continuous samplings of new clinical data which have generated experiments, from which one can gain insights into the dynamics of physiological systems and their steady state behaviour patterns.