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Personalized mathematical model of human arm arteries with inflow boundary condition

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Mathematical modeling is a powerful tool to study the overall behavior of the cardiovascular system (CVS). To build a personalized or predictive mathematical model of the human CVS, it is essential to validate the model outputs with some empirical results (measurements). In this paper, we developed a 0D model of the human arm arteries for inflow boundary condition in complement with the data obtained from a healthy person. Further, the model outputs are validated/compared with the non-invasive flow measurements taken at ulnar artery using Doppler ultrasound (Toshiba’s Aplio\(^{\text {TM}}\) 500). We observed a good agreement between model simulations and flow measurements taken at ulnar artery of a healthy person \((r=0.8264)\).

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The authors would like to thank Dr. F. Z. Alvi and Dr. Abdullah Alvi from Mufti Clinic Abbottabad, Pakistan for collecting/providing measurements and valuable suggestions.

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Correspondence to R. Gul.

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All authors declare no conflict of interest.


All measurements/data collection costs are borne by Mufti Clinic, Abbottabad, Pakistan.

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Gul, R., Shaheen, N. & Shahzad, A. Personalized mathematical model of human arm arteries with inflow boundary condition. Eur. Phys. J. Plus 135, 10 (2020).

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