Validation of a fractional model for erythrocyte sedimentation rate

TL;DR

This paper validates a fractional mathematical model for erythrocyte sedimentation rate using laboratory tests, comparing experimental data with analytical solutions of a fractional diffusion equation to assess its predictive accuracy.

Contribution

It provides empirical validation of a fractional diffusion model for blood sedimentation, linking theoretical predictions with laboratory data.

Findings

Model accurately predicts sedimentation rates

Analytical solutions match experimental data

Fractional calculus improves modeling precision

Abstract

We present the validation of a recent fractional mathematical model for erythrocyte sedimentation proposed by Sharma et al. \cite{GMR}. 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.