TAILIEUCHUNG - A new perspective on the role of mathematics in medicine

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. | Journal of Advanced Research 17 2019 49-54 Contents lists available at ScienceDirect Journal of Advanced Research journal homepage locate jare Survey article A new perspective on the role of mathematics in medicine Ahmed I. Zayed Department of Mathematical Sciences DePaul University Chicago IL 60614 USA Check for updates HIGHLIGHTS GRAPHICAL ABSTRACT The article gives a brief account of the development of mathematics and its relationship with practical applications. This is an expository article that sheds light on the role of mathematics in medical imaging. It traces the development of CT scan from infancy to the present. It reports on new advances in MRI technology. Mathematical concepts explained in non-technical terms. The Radon transform is the mathematical basis of computer tomography. ARTICLE INFO ABSTRACT Article history Received 22 October 2018 Revised 25 January 2019 Accepted 26 January 2019 Available online 6 February 2019 Keywords Computed tomography CT scan Radon transform Magnetic Resonance Imaging MRI Compressed sensing 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. 2019 The Author. Published by Elsevier . on behalf of Cairo University. This is an open access article under .

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• the Coronary Arteries
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