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IDENTIFICATION OF THE ORDER OF FRACTIONAL DERIVATIVE IN WINDKESSEL MODEL
- Authors: Gamilov T.M1,2, Kirichenko Y.Y.2, Yanbarisov R.M1,2, Valetov D.K2
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Affiliations:
- Marchuk Institute of Numerical Mathematics of RAS
- I.M. Sechenov First Moscow State Medical University (Sechenov University)
- Issue: Vol 61, No 7 (2025)
- Pages: 910–918
- Section: NUMERICAL METHODS
- URL: https://journal-vniispk.ru/0374-0641/article/view/306915
- DOI: https://doi.org/10.31857/S0374064125070042
- EDN: https://elibrary.ru/FQXUIX
- ID: 306915
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Abstract
We investigate windkessel blood flow model with fractional derivative. A cost-effective numerical ap- proximation of the model equation is considered, which allows calculations with high precision. The approximation is tested on the proposed special case with the existing analytical solution. We use pro- posed numerical approximation to test various methods to identify the fractional order from real blood pressure profiles. The obtained methods allow to determine the order of the fractional derivative with an accuracy not worse than 15 %.
About the authors
T. M Gamilov
Marchuk Institute of Numerical Mathematics of RAS; I.M. Sechenov First Moscow State Medical University (Sechenov University)
Email: gamilov.tm@gmail.com
Moscow, Russia; Moscow, Russia
Ya. Yu Kirichenko
I.M. Sechenov First Moscow State Medical University (Sechenov University)
Email: yu67inbox@gmail.com
Moscow, Russia
R. M Yanbarisov
Marchuk Institute of Numerical Mathematics of RAS; I.M. Sechenov First Moscow State Medical University (Sechenov University)
Email: ruslan.yanbarisov@gmail.com
Moscow, Russia; Moscow, Russia
D. K Valetov
I.M. Sechenov First Moscow State Medical University (Sechenov University)
Email: valetov_d_k@staff.sechenov.ru
Moscow, Russia
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