Dependence of the Individual Growth Process Upon Allometric Scaling Exponents and Other Parameters

Biswas, Deeptak; Das, S. K.; Roy, Sudipto

doi:10.1142/s0218339008002411

Cited by 6 publications

(6 citation statements)

References 21 publications

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“…It has been found through some research [5][6][7] that, at the initial stage of growth the surplus power   S E increases with mass and then it decreases after reaching its peak value at a mass which is known as the optimum mass [7]. Based on this fact, we have shown in our earlier studies that 2 1    [24,25]. Thus, the scaling exponent for metabolic cost is found to be greater than the exponent for energy intake.…”

Section:  mentioning

confidence: 64%

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A theoretical analysis of the growth process of an organism and its dependence on various allometric relations

Roy¹,

Majumdar²,

Ghosh³

2011

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A new mathematical model regarding the growth process of an organism is proposed, based on the role of surplus power (<i>i.e.</i> power intake minus metabolic cost) and having an allometric dependence on mass. Considering its use in growth, a differential equation has been formed, similar to the von Bertalanffy growth function (VBGF). The time dependence of mass and growth rate, obtained from this equation, has been shown graphically to illustrate the roles played by scaling exponents and other parameters. Concepts of optimum mass, saturation mass and the mass corresponding to the highest growth rate have been discussed under the proposed theoretical framework. Information regarding the dependence of effective growth duration on various parameters has been found graphically. The time of occurrence of the highest growth rate and its dependence on various parameters have been explored graphically. A new parameter (<i>ρ</i>) has been defined, which determines the availability of surplus power at different stages of the growth process of an organism. Depending on its value, there can be three distinctly different modes of growth phenomenon, reflected in the change of surplus power with time. The variations of growth and reproduction efficiencies with time and mass have been shown for different values of the scaling exponent. The limitation regarding the practical measurement of growth rate has been discussed using the present model. Some aspects of length-biomass allometry have been explored theoretically and the results have been depicted graphically

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Section:  mentioning

confidence: 64%

“…Thus, the growth process must stop before reaching the point where According to some studies [24,25], an organism has a natural tendency to attain the optimum mass (…”

Section: Model Formulationmentioning

confidence: 99%

A theoretical analysis of the growth process of an organism and its dependence on various allometric relations

Roy¹,

Majumdar²,

Ghosh³

2011

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“…As a result, the saturated value (x max ) of the state variable x (for which dx dt = 0) decreases with the increase in p 1 . It is also found that the optimum growth rate and the optimum size [56] increase with the decrease in p 1 .…”

Section: Logistic Growthmentioning

confidence: 84%

“…It shows dependence of growth feature on p 1 . It is found that the optimum growth rate [56] increases with the decrease in p 1 . But it does not alter the optimum size and x max .…”

Section: Gompertzian Growthmentioning

confidence: 94%

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Role of specific growth rate in the development of different growth processes

Biswas¹,

Poria²,

Patra³

2015

Preprint

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Effort has been given for the development of an analytical approach that helps to address several sigmoidal and non-sigmoidal growth processes found in literature. In the proposed approach, the role of specific growth rate in different growth processes has been considered in an unified manner. It is found that the different growth equations can be derived from the same functional form of rate equation of specific growth rate. A common functional form of growth and growth velocity have been derived analytically and it has been shown that different values of the parameters involved in the description lead to different growth function. The theta logistic growth can be explained in this proposed framework. It is found that the competitive environment may increase the saturation level of population size.

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Development and validation of high‐performance thin‐layer chromatography method for simultaneous estimation of α‐Amyrin, Betulin, and β‐Sitosterol in Leptadenia reticulata and Marsdenia tenacissima

Robert,

Aeri

2023

Separation Science Plus

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High‐performance thin‐layer chromatography (HPTLC), a top‐notch technique in the field of analysis, is quite irreplaceable when it comes to identifying and standardizing medicinal plants. Marsdenia tenacissima and Leptadenia reticulata have claimed traditional uses like anti‐cancer, anti‐inflammatory, anti‐depressant, hepatoprotection, etc., with few similar phytoconstituents. In this study, a precise and validated HPTLC densitometric method was developed for the identification of α‐amyrin, β‐sitosterol, and betulin in the above‐mentioned plants by static maceration with ethanol and aqueous‐ethanol extracts. The developed method was evaluated by linearity, range, accuracy, precision, limit of detection, limit of quantification, robustness, and specificity. The markers were subjected to ascending development with toluene: ethyl acetate: glacial acetic acid at a ratio of 8:1.5:0.5 v/v/v, air‐dried, and derivatized with anisaldehyde‐sulfuric acid. The retardation factor values of the markers were found to be 0.63 (α‐amyrin), 0.52 (β‐sitosterol), and 0.64 (betulin) for L. reticulata, and 0.55 (α‐amyrin), 0.45 (β‐sitosterol), and 0.57 (betulin) for M. tenacissima. The chromatographic results suggest that the developed method suits all three markers and can be simultaneously identified in both plants.

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Dependence of the Individual Growth Process Upon Allometric Scaling Exponents and Other Parameters

Cited by 6 publications

References 21 publications

A theoretical analysis of the growth process of an organism and its dependence on various allometric relations

A theoretical analysis of the growth process of an organism and its dependence on various allometric relations

Role of specific growth rate in the development of different growth processes

Development and validation of high‐performance thin‐layer chromatography method for simultaneous estimation of α‐Amyrin, Betulin, and β‐Sitosterol in Leptadenia reticulata and Marsdenia tenacissima

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