Application of growth rate from kinetic model to calculate stochastic growth of a bacteria population at low contamination level

2021 ◽  
pp. 110758
Author(s):  
Kento Koyama ◽  
Satoko Hiura ◽  
Hiroki Abe ◽  
Shige Koseki
Keyword(s):  
Growth Rate ◽  
Kinetic Model ◽  
Contamination Level ◽  
Stochastic Growth

Diffusion model for deposition of epitaxial GaAs layers prepared by the MOCVD method

1991 ◽  
Vol 56 (10) ◽  
pp. 2020-2029
Author(s):  
Jindřich Leitner ◽  
Petr Voňka ◽  
Josef Stejskal ◽  
Přemysl Klíma ◽  
Rudolf Hladina
Keyword(s):  
Experimental Data ◽  
Growth Rate ◽  
Kinetic Model ◽  
Gas Phase ◽  
Substrate Surface ◽  
Deposition Process ◽  
Hydrogen Atmosphere ◽  
Epitaxial Gaas ◽  
Kinetics Of ◽  
Good Agreement

The authors proposed and treated quantitatively a kinetic model for deposition of epitaxial GaAs layers prepared by reaction of trimethylgallium with arsine in hydrogen atmosphere. The transport of gallium to the surface of the substrate is considered as the controlling process. The influence of the rate of chemical reactions in the gas phase and on the substrate surface on the kinetics of the deposition process is neglected. The calculated dependence of the growth rate of the layers on the conditions of the deposition is in a good agreement with experimental data in the temperature range from 600 to 800°C.

Parametric instabifity of transverse and Langmuir waves in a plasma

1975 ◽  
Vol 13 (2) ◽  
pp. 317-326 ◽  
Author(s):  
Kai Fong Lee
Keyword(s):  
Growth Rate ◽  
Electromagnetic Field ◽  
Kinetic Model ◽  
Multiple Time ◽  
Multiple Time Scale ◽  
Threshold Intensity ◽  
Langmuir Waves ◽  
Scale Perturbation ◽  
The Subject ◽  
Parametric Instabilities

The parametric excitation of transverse and Langmuir waves by an externally-driven electromagnetic field of frequency (ω0 > 2ωp) in a warm and collisional plasma is studied, using the fluid equations. By an application of the multiple- time-scale perturbation method, the threshold intensity and the growth rate above threshold are obtained. The results are compared with those of Goldman (1969) and Prasad (1968), both of whom worked with a kinetic model.The theory of parametric instabilities in plasmas has been the subject of numerous investigations in recent years. Broadly speaking, the instabilities can be grouped into two categories: those for which the excited waves are purely electrostatic (see e.g. DuBois & Goldman 1965, 1967; Silin 1965; Lee & Su 1966; Jackson 1967; Nishikawa 1968; Kaw & Dawson 1969; Tzoar 1969; Sanmartin 1970; McBride 1970; Perkins & Flick 1971; Fejer & Leer 1972a, b; Bezzerides & Weinstock 1972; DuBois & Goldman 1972), and those for which one of the excited waves is electromagnetic (see e.g. Goldman & Dubois 1965; Montgomery & Alexeff 1966; Chen & Lewak 1970; Bodner & Eddleman 1972; Fejer & Leer 1972b; Lee & Kaw 1972; Forslund et al. 1972).

Environment-specific elasticity and sensitivity analysis of the stochastic growth rate

2009 ◽  
Vol 220 (5) ◽  
pp. 605-610 ◽  
Author(s):  
Per Åberg ◽  
Carl Johan Svensson ◽  
Hal Caswell ◽  
Henrik Pavia
Keyword(s):  
Growth Rate ◽  
Sensitivity Analysis ◽  
Stochastic Growth ◽  
Stochastic Growth Rate

scholarly journals General formulation of Luria-Delbrück distribution of the number of mutants

2015 ◽  
Author(s):  
bahram houchmandzadeh
Keyword(s):  
Growth Rate ◽  
Evolutionary Theory ◽  
Growth Function ◽  
Considerable Effort ◽  
Constant Growth Rate ◽  
Stochastic Growth ◽  
The Subject ◽  
Constant Growth

Abstract The Luria-Delbrück experiment is a cornerstone of evolutionary theory, demonstrating the randomness of mutations before selection. The distribution of the number of mutants in this experiment has been the subject of intense investigation during the last 70 years. Despite this considerable effort, most of the results have been obtained under the assumption of constant growth rate, which is far from the experimental condition. We derive here the properties of this distribution for arbitrary growth function, for both the deterministic and stochastic growth of the mutants. The derivation we propose is surprisingly simple and versatile, allowing many generalizations to be taken easily into account.

scholarly journals Derivatives of the stochastic growth rate

2011 ◽  
Vol 80 (1) ◽  
pp. 1-15 ◽  
Author(s):  
David Steinsaltz ◽  
Shripad Tuljapurkar ◽  
Carol Horvitz
Keyword(s):  
Growth Rate ◽  
Stochastic Growth ◽  
Stochastic Growth Rate ◽  
Derivatives Of

Growth Model for Alaska King Crab (Paralithodes camtschatica)

1977 ◽  
Vol 34 (7) ◽  
pp. 989-995 ◽  
Author(s):  
Donald A. McCaughran ◽  
Guy C. Powell
Keyword(s):  
Growth Rate ◽  
Computer Simulation ◽  
Stochastic Model ◽  
Growth Model ◽  
Early Life ◽  
Carapace Length ◽  
Growth Increment ◽  
Stochastic Growth ◽  
King Crab ◽  
Paralithodes Camtschatica

A stochastic growth model is presented to represent the growth in carapace length of the Alaska king crab (Paralithodes camtschatica Tilesius). Two submodels are combined to yield the growth model: (1) growth increment as a function of premolt length and molting history and (2) a probabilistic model of frequency of molting by age, premolt length, and molting history. The results of a computer simulation of the growth model are presented. Frequency of ages at various lengths and frequency of lengths at each age are given. Frequency of molting during early life was found to greatly influence growth rate. Key words: king crab, growth, length, stochastic model growth increment, molting, growth model

Kinetic model for dependence of thin film stress on growth rate, temperature, and microstructure

2012 ◽  
Vol 111 (8) ◽  
pp. 083520 ◽  
Author(s):  
E. Chason ◽  
J. W. Shin ◽  
S. J. Hearne ◽  
L. B. Freund
Keyword(s):  
Thin Film ◽  
Growth Rate ◽  
Kinetic Model ◽  
Film Stress ◽  
Thin Film Stress
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