Mathematics and Clinical Concepts

A Mathematical View of Clinical Work

by Jerome Carter on April 6, 2015 · 7 comments

Whenever I mention working on models of clinical work or describing clinical care mathematically, the comments vary from how esoteric such an endeavor seems to protestations that medicine is an art.  Math is not out of place in medicine. In fact, it is part of everyday practice; it is simply not recognized as such. Back […]

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Hands-on Software Design and Other Things…

by Jerome Carter on April 14, 2014 · 0 comments

I took last week off so that I could catch up on programming projects and try my hand at gardening/landscaping.   Mastering object-oriented programming has been a key goal since I began blogging.   Like any skill, practice makes perfect, so last week I began a new project to test my OOP design and programming skills.   In […]

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Designing software, like practicing medicine, is in essence about solving problems.   Patients do not present with a series of multiple-choice answers from which one may select, and complex software systems are never built using stock requirements.   Both activities are as much art as science, and the results vary greatly among practitioners.   Like most people, I […]

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Clinical care consists of processes.  Examining patients, prescribing medications, mailing bills, reviewing charts–they are all processes.   Fortunately, there exists a perfectly good way of describing processes mathematically using graphs.  Graph theory originated when Leonhard Euler attempted to solve a simple problem mathematically.  The town of Konigsberg, where he lived, had four land areas that were […]

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Until I began studying discrete math, my idea of a function was something along the lines of formulae such as f(x) = x3, e=mc2, or F=ma.  Very likely, this is true for most people.   Math education from elementary algebra to differential equations focuses on functions that return a real number value.   However, this is a very […]

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We saw in the last post that taking the Cartesian product of two sets results in a collection of ordered pairs.   Now, we are going to explore how ordered pairs and larger groupings can be used to organize information using relations. Here is the definition of a relation taken from Discrete Mathematics with Applications, by […]

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Everything can be expressed as a set—the rooms in a building, the providers in a practice, penicillins—everything.  When one studies the basics of set theory – unions, intersections, subsets and the like—the concepts seem so simple, even obvious, that it is difficult to believe that Georg Cantor  had to dream them up and then convince […]

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