Validation of a fractional model for erythrocyte sedimentation rate

被引：29
作者：
Sousa, J. Vanterler da C. [1 ]
dos Santos, Magun N. N. [2 ,3 ]
Magna, L. A. [1 ,2 ,3 ]
Capelas de Oliveira, E. [1 ]
机构：
[1] Univ Estadual Campinas, Imecc, Dept Appl Math, BR-13083859 Campinas, SP, Brazil
[2] Univ Estadual Campinas, Sch Med Sci, Dept Clin Pathol, BR-13083887 Campinas, SP, Brazil
[3] Univ Estadual Campinas, Sch Med Sci, Dept Med Genet, BR-13083887 Campinas, SP, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 05期
关键词：
Clinical laboratory tests; Erythrocyte sedimentation rate; Fractional calculus; Time-fractional diffusion equation; DIFFERENTIAL EQUATION MODEL; C-REACTIVE PROTEIN; MATHEMATICAL-MODELS; ANOMALOUS RELAXATION; BLOOD; DIFFUSION; DISEASE; STABILITY; CELLS; ESR;
D O I：
10.1007/s40314-018-0717-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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收藏
页码：6903 / 6919
页数：17
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