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Consortium for Mathematics and its Applications

Product ID: 99635
Supplementary Print
Undergraduate

Differential Growth, Huxley's Allometric Formula, and Sigmoid Growth (UMAP)

Author: Roger V. Jean


This module relates analytical geometry and calculus with differential growth, Huxley's Allometric Formula, and sigmoid growth.

Table of Contents:

INTRODUCTION

LOGARITHMIC FORM AND EXPONENTIAL FORM OF THE ALLOMETRIC FORMULA

ALLOMETRY IN WHEAT, FISHES, NASTURTIUMS AND POTATOES

THE CASE OF THE MALE FIDDLER CRAB UCA PUGNAX

ON THE DETERMINATION OF THE ALLOMETRIC CONSTANTS

DIFFERENTIAL FORM OF THE ALLOMETRIC FORMULA; RELATIVE GROWTH RATES

RELATIONS TO SIGMOID GROWTH

DIFFERENTIAL GROWTH OF THE BEGONIA DAEDALEA AND THEORY OF TRANSFORMATIONS IN ZOOLOGY

ANSWERS TO EXERCISES

READINGS AND REFERENCES

©1984 by COMAP, Inc.
UMAP Module
32 pages

Mathematics Topics:

Calculus

Application Areas:

Life Sciences & Medicine, Biology, Allometry

Prerequisites:

Logarithms and tangents; log-log paper; elementary properties of a straight line; logarithmic and exponential functions; derivatives

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