Validation of a fractional model for erythrocyte sedimentation rate

We present the validation of a recent fractional mathematical model for erythrocyte sedimentation proposed by Sousa et al. (AIMS Math 2(4):692–705, 2017 ). The model uses a Caputo fractional derivative to build a time-fractional diffusion equation suitable to predict blood sedimentation rates. This...

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Bibliographic Details
Published in:Computational & applied mathematics 2018-11, Vol.37 (5), p.6903-6919
Main Authors: da C. Sousa, J. Vanterler, dos Santos, Magun N. N., Magna, L. A., de Oliveira, E. Capelas
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Diffusion rate
Erythrocytes
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
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Summary:We present the validation of a recent fractional mathematical model for erythrocyte sedimentation proposed by Sousa et al. (AIMS Math 2(4):692–705, 2017 ). The model uses a Caputo fractional derivative to build a time-fractional diffusion equation suitable to predict blood sedimentation rates. This validation was carried out by means of erythrocyte sedimentation tests in laboratory. Data on sedimentation rates (percentages) were analyzed and compared with the analytical solution of the time-fractional diffusion equation. The behavior of the analytical solution related to each blood sample sedimentation data was described and analyzed.
ISSN:0101-8205
2238-3603
1807-0302
DOI:10.1007/s40314-018-0717-0