Mathematical Modeling of RBC Count Dynamics after Blood Loss

Manuel Tetschke; Patrick Lilienthal; Torben Pottgiesser; Thomas Fischer; Enrico Schalk; Sebastian Sager

doi:10.3390/pr6090157

journal article Open Access Sep 05, 2018

Mathematical Modeling of RBC Count Dynamics after Blood Loss

Manuel Tetschke Patrick Lilienthal Torben Pottgiesser Thomas Fischer

Enrico Schalk

Sebastian Sager

Processes Vol. 6 No. 9 pp. 157 · MDPI AG

View at Publisher Save 10.3390/pr6090157

Abstract

The regeneration of red blood cells (RBCs) after blood loss is an individual complex process. We present a novel simple compartment model which is able to capture the most important features and can be personalized using parameter estimation. We compare predictions of the proposed and personalized model to a more sophisticated state-of-the-art model for erythropoiesis, and to clinical data from healthy subjects. We discuss the choice of model parameters with respect to identifiability. We give an outlook on how extensions of this novel mathematical model could have an important impact for personalized clinical decision support in the case of polycythemia vera (PV). PV is a slow-growing type of blood cancer, where especially the production of RBCs is increased. The principal treatment targeting the symptoms of PV is bloodletting (phlebotomy), at regular intervals that are based on personal experiences of the physicians. Model-based decision support might help to identify optimal and individualized phlebotomy schedules.

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References

Details

Published: Sep 05, 2018
Vol/Issue: 6(9)
Pages: 157
License: View

Authors

M

Manuel Tetschke

Institute for Mathematical Optimization, Otto-von-Guericke-University Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany

P

Patrick Lilienthal

Institute for Mathematical Optimization, Otto-von-Guericke-University Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany

T

Torben Pottgiesser

Department of Cardiology and Angiology I, Heart Center Freiburg University, Faculty of Medicine, University of Freiburg, 79106 Freiburg, Germany

T

Thomas Fischer

Department of Hematology and Oncology, Medical Center, Otto-von-Guericke-University Magdeburg, 39120 Magdeburg, Germany

E

Enrico Schalk

Department of Hematology and Oncology, Medical Center, Otto-von-Guericke-University Magdeburg, 39120 Magdeburg, Germany

S

Sebastian Sager

Institute for Mathematical Optimization, Otto-von-Guericke-University Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany

Funding

Deutsche Forschungsgemeinschaft Award: 314838170, GRK 2297 MathCoRe

European Research Council Award: 647573

International Max Planck Research School (IMPRS) Award: for Advanced Methods in Process and System Engineering

Cite This Article

Manuel Tetschke, Patrick Lilienthal, Torben Pottgiesser, et al. (2018). Mathematical Modeling of RBC Count Dynamics after Blood Loss. Processes, 6(9), 157. https://doi.org/10.3390/pr6090157

Mathematical Modeling of RBC Count Dynamics after Blood Loss

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