Scholarlink

Abstract <p> We investigate a windkessel blood flow model with fractional derivative. A cost-effectivenumerical approximation of the model equation is considered, which allows calculations with highprecision. The approximation is tested on the proposed special case with existing analyticalsolution. We use the proposed numerical approximation to test various methods to identify thefractional order from real blood pressure profiles. The obtained methods allow to determine theorder of the fractional derivative with an accuracy not worse than 15 %.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Identification of the Order of the Fractional Derivative in the Windkessel Model

  • 期刊论文

  • 发表日期：

    2025年7月1日

查看全文
  • T. M. Gamilov,
  • Ya. Yu. Kirichenko,
  • R. M. Yanbarisov,
  • D. K. Valetov

摘要

Abstract

We investigate a windkessel blood flow model with fractional derivative. A cost-effectivenumerical approximation of the model equation is considered, which allows calculations with highprecision. The approximation is tested on the proposed special case with existing analyticalsolution. We use the proposed numerical approximation to test various methods to identify thefractional order from real blood pressure profiles. The obtained methods allow to determine theorder of the fractional derivative with an accuracy not worse than 15 %.