Mathematical Modelling in Medicine


Ottesen, J.T.,
Danielsen, M.

Publication date

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ISBN print


ISBN online



(reprinted 2007)


Based on the conference Mathematical Modelling in Medicine some of the leading researchers, educated in various traditional disciplines including mathematics, physics, engineering, physiology, medicine and cognitive engineering, decided to publish a book presenting the state of the art on mathematical modelling in physiology and medicine. Mathematical Modelling in Medicine is divided into four distinct parts which cover mathematical models of heart, arterial tree, baroreceptor control and applications for simulators. 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. This common guideline may result in more solid models from which we can obtain new physiological insights. The articles can be read independently, but it may be an advantage to read some or all of the articles together, due to their close relationship. Mathematical Modelling in Medicine 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 have generated experiments, from which one can gain new insights into the dynamics of physiological systems and not only into their steady state behaviour patterns. Another important element is the attempts to focus on precise definitions of physiological concepts in order to avoid confusion, misunderstandings and waste of efforts. Furthermore, it is shown, that mathematics may also provide a tool to structure thoughts, an area which have gained an increasing attention lately. Also, new important questions generated by the application of mathematical models, questions which could not be asked without such models, are shown to play an important role in the interest of mathematical modelling. In addition to the importance of this interdisciplinary field in research, it is documented that mathematical models have received an growing interest as an applied activity in industry, e.g. in the construction and use of simulators in training and education of medical doctors and nurses. This book will be of interest to graduate students as well as researchers in the interdisciplinary fields of bioengeneering, biophysics and mathematical physiology.

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