Sentence examples for mathematical growth from inspiring English sources

D'Arcy Thompson's book On Growth and Form, published 30 years earlier, excited him with its evidence of mathematical growth patterns in nature.

Getting lots of credits is not the key to success; mathematical growth is.

Five mathematical growth models (logistic, Gompertz, modified Gompertz, Baranyi, and Morgan) were used to estimate the biomass productivity in continuous processes and to predict the following parameters of cell growth: lag phase duration, maximum specific growth rate and maximum cell concentration.

Cannon, Floyd and Parry produced a mathematical growth model which demonstrated that some systems determined by simple finite subdivision rules can results in objects (in their example, a tree trunk) whose large-scale form oscillates wildly over time even though the local subdivision laws remain the same.

Using a mathematical growth model they showed that differentiation occurred in the following sequence: memory B-cell followed by plasmablast followed by preplasma cell and finally plasma cell.

In spite of the limitations related to detection thresholds, correlation with the parameters derived from viable count growth curves, and inability to model growth in turbid liquid foods and in solid food matrixes, numerous techniques and mathematical growth models have been used in recent years for estimation of growth rates and lag times from absorbance data [ 5, 7, 8, 12– 12].

A comprehensive mathematical particle growth model, accounting for both external and internal mass and heat transfer limitations appearing during the early growth of highly active Ziegler Natta catalysts in gas-phase olefin polymerizations, is developed.

The above kinetics and inhibition data will serve as suitable database for the development of a mathematical model for growth and its use will be able to facilitate appropriate reactor design for the removal of phosphates from industrial effluents.

From the mathematical estimations of growth rates (Fig. 6) we observe an increase in the values of growth slopes of GH-enhanced salmon up to 14° C, whereas slopes were slightly negative over the entire range of temperatures in wild-type fish.

Mr Knudstorp suggests that harder times are ahead: "When the company is getting bigger and the market isn't growing, it's a pure mathematical consequence that growth rates will have to reach a more sustainable level".

In view of this development, it is timely to review the corresponding mathematical models for growth and product of the most important microorganisms: bacteria and fungi.