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A new approach to the validation of an ESR fractional model

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Abstract

We present a new approach to the validation of a fractional mathematical model that describes erythrocyte sedimentation rates using a diffusion equation with a Caputo fractional derivative. We discuss the experimental data obtained and plot their graphs. We analyze the graphs to validate our model.

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Acknowledgements

J. Vanterler acknowledges the financial support of a PNPD-CAPES (Process number 88882.305834/2018-01) scholarship of the Postgraduate Program in Applied Mathematics of IMECC-Unicamp. We are grateful to Dr. J. Emílio Maiorino for several and useful discussions. To the anonymous referee, our gratitude for several important suggestions that greatly improved 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 & E. Capelas de Oliveira

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

    Magnun N. N. dos Santos & E. da Costa

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

    L. A. Magna

Authors
  1. J. Vanterler da C. Sousa
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  2. Magnun N. N. dos Santos
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  3. E. da Costa
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  4. L. A. Magna
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  5. E. Capelas de Oliveira
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Corresponding author

Correspondence to J. Vanterler da C. Sousa.

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Communicated by Vasily E. Tarasov.

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Appendix

Appendix

In this section, we present 5 codes of the graphs made via MATLAB R2010.a, which generated the graphs discussed during the paper. In codes 4 and 5, we present only for Man 1 and Woman 1, since there are 28, we will not present the code for the others, but it will be replaced by data from the tables above.

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da C. Sousa, J.V., dos Santos, M.N.N., da Costa, E. et al. A new approach to the validation of an ESR fractional model. Comp. Appl. Math. 40, 93 (2021). https://doi.org/10.1007/s40314-021-01485-8

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  • DOI: https://doi.org/10.1007/s40314-021-01485-8

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