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Mathematical Modeling of Physiological Systems

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Mathematical Modeling and Validation in Physiology

Part of the book series: Lecture Notes in Mathematics ((LNMBIOS,volume 2064))

Abstract

Although mathematical modeling has a long and very rich tradition in physiology, the recent explosion of biological, biomedical, and clinical data from the cellular level all the way to the organismic level promises to require a renewed emphasis on computational physiology, to enable integration and analysis of vast amounts of life-science data. In this introductory chapter, we touch upon four modeling-related themes that are central to a computational approach to physiology, namely simulation, exploration of hypotheses, parameter estimation, and model-order reduction. In illustrating these themes, we will make reference to the work of others contained in this volume, but will also give examples from our own work on cardiovascular modeling at the systems-physiology level.

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Acknowledgements

This work was partially supported by the United States National Aeronautics and Space Administration through the Cooperative Agreement NCC-52 with the National Space Biomedical Research Institute, and through grant R01 001659 from the National Institute of Biomedical Imaging and Bioengineering of the US National Institutes of Health.

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Authors and Affiliations

  1. Computational Physiology and Clinical Inference Group, Research Laboratory of Electronics, Massachusetts Institute of Technology, 10-140L, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA

    Thomas Heldt & George C. Verghese

  2. Laboratory for Computational Physiology, Harvard-MIT Division of Health Sciences and Technology, Massachusetts Institute of Technology, E25-505, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA

    Roger G. Mark

Authors
  1. Thomas Heldt
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  2. George C. Verghese
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  3. Roger G. Mark
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Correspondence to Thomas Heldt .

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Editors and Affiliations

  1. Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, Graz, 8010, Austria

    Jerry J. Batzel

  2. College of Sciences, Department of Mathematics, King Saud University, King Khalid Road, Diriyah Campus, Riyadh, 11451, Saudi Arabia

    Mostafa Bachar

  3. Institute for Mathematics, and Scientific Computing, University of Graz, Heinrichstrasse 36, Graz, 8010, Austria

    Franz Kappel

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Heldt, T., Verghese, G.C., Mark, R.G. (2013). Mathematical Modeling of Physiological Systems. In: Batzel, J., Bachar, M., Kappel, F. (eds) Mathematical Modeling and Validation in Physiology. Lecture Notes in Mathematics(), vol 2064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32882-4_2

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