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数学在医学中作用的新视角。

A new perspective on the role of mathematics in medicine.

作者信息

Zayed Ahmed I

机构信息

Department of Mathematical Sciences, DePaul University, Chicago, IL 60614, USA.

出版信息

J Adv Res. 2019 Feb 6;17:49-54. doi: 10.1016/j.jare.2019.01.016. eCollection 2019 May.

DOI:10.1016/j.jare.2019.01.016
PMID:31193335
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6526197/
Abstract

The aim of this expository article is to shed light on the role that mathematics plays in the advancement of medicine. Many of the technological advances that physicians use every day are products of concerted efforts of scientists, engineers, and mathematicians. One of the ubiquitous applications of mathematics in medicine is the use of probability and statistics in validating the effectiveness of new drugs, or procedures, or estimating the survival rate of cancer patients undergoing certain treatments. Setting this aside, there are important but less known applications of mathematics in medicine. The goal of the article is to highlight some of these applications using as simple mathematical formulations as possible. The focus is on the role of mathematics in medical imaging, in particular, in CT scans and MRI.

摘要

这篇说明文的目的是阐明数学在医学进步中所起的作用。医生日常使用的许多技术进步都是科学家、工程师和数学家共同努力的成果。数学在医学中无处不在的应用之一是利用概率和统计来验证新药、新程序的有效性,或估计接受某些治疗的癌症患者的存活率。除此之外,数学在医学中还有一些重要但鲜为人知的应用。本文的目的是用尽可能简单的数学公式来突出其中的一些应用。重点是数学在医学成像中的作用,特别是在CT扫描和MRI中的作用。

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