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Validation of a fractional model for erythrocyte sedimentation rate

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Abstract

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.

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Acknowledgements

We would like to thank the referees for the suggestions and corrections that have improved the paper and making it more readable. We would like to thank Dr. J. Emilio Maiorino for several suggestions and comments that helped improve the paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, Imecc-Unicamp, Campinas, SP, 13083-859, Brazil

    J. Vanterler da C. Sousa, L. A. Magna & E. Capelas de Oliveira

  2. Department of Clinical Pathology, School of Medical Sciences, Unicamp, Campinas, SP, 13083-887, Brazil

    Magun N. N. dos Santos & L. A. Magna

  3. Department of Medical Genetics, School of Medical Sciences, Unicamp, Campinas, SP, 13083-887, Brazil

    Magun N. N. dos Santos & L. A. Magna

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  1. J. Vanterler da C. Sousa
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  2. Magun N. N. dos Santos
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  3. L. A. Magna
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  4. E. Capelas de Oliveira
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Correspondence to J. Vanterler da C. Sousa.

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Communicated by Vasily E. Tarasov.

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da C. Sousa, J.V., dos Santos, M.N.N., Magna, L.A. et al. Validation of a fractional model for erythrocyte sedimentation rate. Comp. Appl. Math. 37, 6903–6919 (2018). https://doi.org/10.1007/s40314-018-0717-0

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