SOME PROBLEMS ON THE USE OF NEGATIVE EXPONENTIAL CURVES IN BIOLOGY

Abstract

Many biologic processes give responses that decrease rapidly over time to some asymptote C = or < O. The mathematical expressions that describe the various phenomena vary in complexity and form. In order to fit a curve to data in any such situation, one must consider both the formula for the trend and the nature of the deviations or error terms. A discussion of these problems is given so as to indicate to the data analyst the possible choices that are his, relative to assumptions about error terms and relative to technics or methods of estimation. No new analytical procedures are given. It is noted that several methods of estimation are being studied for certain assumed model equations. The results of these random sampling experiments will be reported in subsequent papers.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0464183

Entities

People

  • M. B. Danford

Organizations

  • United States Air Force School of Aerospace Medicine

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Aerospace Medicine
  • Air Force
  • Autocorrelation
  • Coefficients
  • Contractors
  • Covariance
  • Curve Fitting
  • Data Science
  • Difference Equations
  • Equations
  • Government Procurement
  • Nitrogen
  • Observation
  • Respiration
  • Sampling
  • Statistical Sampling

Fields of Study

  • Mathematics

Readers

  • Brain and Cognitive Science; Experimental Psychology; Cognitive Neuroscience
  • Regression Analysis.
  • Theoretical Analysis.