Role Of Mathematics In Medical Sciences Pdf

Review

doi: 10.1016/j.jare.2019.01.016. eCollection 2019 May.

A new perspective on the role of mathematics in medicine

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PMID: 31193335
PMCID: PMC6526197
DOI: 10.1016/j.jare.2019.01.016

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Review

A new perspective on the role of mathematics in medicine

Ahmed I Zayed . J Adv Res. 2019 .

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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.

Keywords: CT scan; Compressed sensing; Computed tomography; Magnetic Resonance Imaging (MRI); Radon transform.

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References

1. Burton D. McGraw Hill; New York: 2007. The history of mathematics: an introduction.
1. Titchmarsh E.C., Godfrey Harold Hardy. J. Lond. Math. Soc. 1995;25:81–101.
1. Gonzalez R., Woods R. Prentice Hall; New Jersey: 2002. Digital image processing.
1. Gindikin S., Michor P. International Press Publications; Cambridge, MA: 1994. 75 years of radon transform.
1. Radon J. Über die Bestimmung Von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten. Berichte Sächsische Akademie der Wissenschaften, Leipzig, Math.- Phys. Kl. 1917;69:262–267.

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