Polarity index in Proteins-A Bioinformatics Tool

by

Carlos Polanco

DOI: 10.2174/97816810826911160101
eISBN: 978-1-68108-269-1, 2016
ISBN: 978-1-68108-270-7



Indexed in: Book Citation Index, Science (BKCI-S), BIOSIS Previews, EBSCO.

Polarity is a physico-chemical property that characterizes the electromagnetic stability of a protein and can be used to predict its p...[view complete introduction]
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Mathematical Foundation

- Pp. 28-32 (5)

Carlos Polanco

Abstract

This chapter explains the mathematical background used for polarity index method described in Chapter 3 and its relation with the catastrophic bifurcation points located in the geometric representation of the relative frequencies of a protein group. I discuss the singularities and regularities of this geometric representation and how this metric identifies the main action of a protein with a high level of accuracy. I introduce the concepts of maximum points, minimum points and saddle points, I also calculate the smooth curve from matrix Qi + Σ<sup>n</sup><sub></sub> =1Qi (Sect. 3.3.2), and I justify the exhaustiveness of the metric.

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