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Mathematical Models of Hemostasis

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Trauma Induced Coagulopathy

Abstract

Coagulation is a complex, nonlinear system that is regulated by an ever growing number of biochemical, cellular, and biophysical processes. Mathematical models have emerged as computational tools that can synthesize this information. Moreover they have shown their utility in revealing new mechanisms, answering questions that are experimentally intractable, and making novel predictions. Here, we provide a primer for the non-expert on the fundamental mathematics of many coagulation models, namely ordinary and partial differential equations. We then review the features of some of the seminal coagulation models and their contribution to the field. We focus on models of ex vivo coagulation such as thrombin generation assays that primarily focus on biochemical kinetics and models of in vivo thrombus formation that contain essential biophysical processes related to blood flow. Finally, we discuss the future research needs and challenges that are needed to pave the way for more widespread use of mathematical models in research, and their potential use in clinical applications.

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Acknowledgements

This work was supported by NSF CAREER (CBET-1351672), American Heart Association (14GRNT20410094), and NIH (RO1HL120728, R21NS082933).

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Authors and Affiliations

  1. Chemical and Biological Engineering Department, Colorado School of Mines, 1500 Illinois St., Golden, CO, 80401, USA

    Keith B. Neeves

  2. Department of Pediatrics, University of Colorado Denver, Aurora, CO, USA

    Keith B. Neeves

  3. University of California Merced, Merced, CA, USA

    Karin Leiderman

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  1. Keith B. Neeves
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Correspondence to Keith B. Neeves .

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Editors and Affiliations

  1. Dept of Surgery & Trauma Research Center, Univ of Colorado School of Medicine, Aurora, Colorado, USA

    Eduardo Gonzalez

  2. Dept of Surgery & Trauma Research Center, Univ of Colorado School of Medicine, Aurora, Colorado, USA

    Hunter B. Moore

  3. Dept of Surgery & Trauma Research Center, Univ of Colorado Sch of Med&Denver Healt, Denver, Colorado, USA

    Ernest E. Moore

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Neeves, K.B., Leiderman, K. (2016). Mathematical Models of Hemostasis. In: Gonzalez, E., Moore, H., Moore, E. (eds) Trauma Induced Coagulopathy. Springer, Cham. https://doi.org/10.1007/978-3-319-28308-1_35

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  • DOI: https://doi.org/10.1007/978-3-319-28308-1_35

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