Validation of a fractional model for erythrocyte sedimentation rate

被引：0
作者：
J. Vanterler da C. Sousa
Magun N. N. dos Santos
L. A. Magna
E. Capelas de Oliveira
机构：
[1] Imecc-Unicamp,Department of Applied Mathematics
[2] Unicamp,Department of Clinical Pathology, School of Medical Sciences
[3] Unicamp,Department of Medical Genetics, School of Medical Sciences
来源：
Computational and Applied Mathematics | 2018年 / 37卷
关键词：
Clinical laboratory tests; Erythrocyte sedimentation rate; Fractional calculus; Time-fractional diffusion equation; 26A06; 26A33; 33RXX; 34A30; 35KXX; 92BXX; 92DXX;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：6903 / 6919
页数：16
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