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Consortium for Mathematics and its Applications

Product ID: 99070
Supplementary Print
Undergraduate

Selection in Genetics (UMAP)

Author: Brindell Horelick, Sinan Koont


This module describes how a recurrence relation for gene frequency in the nth generation is obtained, and explains the use of calculus to approximate the result obtained from this recurrence relation.

Table of Contents:

1. THE DISAPPEARANCE OF RECESSIVE GENES
1.1 Introduction
1.2 Gene Frequency
1.3 Selective Disadvantage

2. SOME GENETIC MATHEMATICS
2.1 The Hardy-Weinberg Ratio
2.2 Calculation of Gene Frequencies

3. A RECURRENCE RELATION FOR GENE FREQUENCY
3.1 Introduction
3.2 The nth Generation Gene Distribution
3.3 The Recurrence Relation
3.4 Use of the Recurrence Relation
3.5 Computational Results
3.6 A Disadvantage of the Recurrence Relation

4. A COMPUTER-FREE PROCESS
4.1 A Differential Approximation
4.2 The Approximation Formula
4.3 Comparison of Results

5. REFERENCES

6. ANSWERS TO EXERCISES

©1980 by COMAP, Inc.
UMAP Module
13 pages

Mathematics Topics:

Calculus

Application Areas:

Life Sciences & Medicine, Biology, Genetics

Prerequisites:

Formula for the slope of a line segment; f'(x) describes a tangent slope; integrate f'(x)/f(x) dx.

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