Dhulkhed Vithal Krishna, Dhulkhed Pavan Vithal, Katti Anusha Ramachandra, Kurdi Madhuri, Bajwa Sukhminder Jit Singh
Department of Anaesthesiology, Krishna Institute of Medical Sciences, Deemed to be University, Malkapur, Karad, Maharashtra, India.
Department of Anaesthesiology, SDM Institute of Medical Sciences, Dharwad, Karnataka, India.
Indian J Anaesth. 2023 Jan;67(1):91-101. doi: 10.4103/ija.ija_800_22. Epub 2023 Jan 21.
Understanding the basic concepts and the dynamics of the equation of motion will help the anaesthesiologist and the intensive care physician in gaining an insight into the basics of modern mechanical ventilation. An equation of the type V = V × (1-e) is often encountered while studying the concepts of mechanical ventilation. This leaves one wondering about the meaning of 'e'. It is explained as the base of a natural logarithm, and the base e as an irrational constant approximately equal to 2. 7182. In medical literature, various physiological mechanisms are explained by using the exponential function e. However, the explanations do not sufficiently help the learner to demystify the enigmatic term e. In this article, an effort is made to explain this function with the help of simple analogies and relevant mathematical concepts. The process of volume build-up in the lungs during mechanical ventilation is used as a model for the explanations.
理解运动方程的基本概念和动力学，将有助于麻醉医生和重症监护医生深入了解现代机械通气的基础知识。在研究机械通气概念时，经常会遇到V = V × (1 - e) 这种类型的方程。这让人不禁想知道“e”的含义。它被解释为自然对数的底数，底数e是一个约等于2.7182的无理常数。在医学文献中，各种生理机制是用指数函数e来解释的。然而，这些解释并不能充分帮助学习者揭开神秘术语e的面纱。在本文中，我们将借助简单的类比和相关数学概念来解释这个函数。机械通气过程中肺部容积的增加过程被用作解释的模型。
