Modeling of pressure–volume controlled artificial respiration with local derivatives

Advances in Difference Equations

article

Acay, Bahar¹  Inc, Mustafa¹  Chu, Yu-Ming³  Almohsen, Bandar⁵ 

[1] Department of Mathematics, Firat University;Department of Medical Research, China Medical University;Department of Mathematics, Huzhou University;Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology;Department of Mathematics, King Saud University

关键词: Proportional derivative;    Local derivatives;    Clinical medicine;    Truncated M-derivative;    Conformable derivative;   

DOI  :  10.1186/s13662-020-03204-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

We attempt to motivate utilization of some local derivatives of arbitrary orders in clinical medicine. For this purpose, we provide two efficient solution methods for various problems that occur in nature by employing the local proportional derivative defined by the proportional derivative (PD) controller. Under some necessary assumptions, a detailed exposition of the instantaneous volume in a lung is furnished by conformable derivative and such modified conformable derivatives as truncated M-derivative and proportional derivative. Moreover, we wish to investigate the performance of the above-mentioned operators in applications by plotting several graphs of the governing equations.

【 授权许可】

CC BY