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Simultaneous identification of growth law and estimation of its rate parameter for biological growth data: A new approach
A R BHOWMICK, , S BHATTACHARYA
Published in SPRINGER
2014
PMID: 24402566
Volume: 40
   
Issue: 1
Pages: 71 - 95
Abstract
Scientific formalizations of the notion of growth and measurement of the rate of growth in living organisms are age-old problems. The most frequently used metric, "Average Relative Growth Rate" is invariant under the choice of the underlying growth model. Theoretically, the estimated rate parameter and relative growth rate remain constant for all mutually exclusive and exhaustive time intervals if the underlying law is exponential but not for other common growth laws (e.g., logistic, Gompertz, power, general logistic). We propose a new growth metric specific to a particular growth law and show that it is capable of identifying the underlying growth model. The metric remains constant over different time intervals if the underlying law is true, while the extent of its variation reflects the departure of the assumed model from the true one. We propose a new estimator of the relative growth rate, which is more sensitive to the true underlying model than the existing one. The advantage of using this is that it can detect crucial intervals where the growth process is erratic and unusual. It may help experimental scientists to study more closely the effect of the parameters responsible for the growth of the organism/population under study. © 2014 Springer Science+Business Media Dordrecht.
About the journal
JournalData powered by TypesetJournal of Biological Physics
PublisherData powered by TypesetSPRINGER
ISSN0092-0606
Open AccessNo