A growth-controlled model of the shape of a sunflower head

Yeatts, F. Richard

doi:10.1016/j.mbs.2003.09.002

Cited by 17 publications

(8 citation statements)

References 10 publications

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“…Logistic functions have been reportedly useful to predict the sigmoid behavior (S-shape) of sunflower grain weight dynamics (Yeatts, 2004 ). In the present work, a logistic equation driven by time expressed in degree days (1) was fitted to experimental data to simulate grain growth.…”

Section: Methodsmentioning

confidence: 99%

“…Mathematical models with a more empirical approach have been developed to predict sunflower development, yield, and yield components (Chapman et al, 1993 ; Steer et al, 1993 ; Villalobos et al, 1996 ; Yeatts, 2004 ). These crop simulation models are useful tools for evaluating different agronomic management strategies (Villalobos et al, 1996 ).…”

Section: Introductionmentioning

confidence: 99%

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Kinetic Modeling of Sunflower Grain Filling and Fatty Acid Biosynthesis

2016

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Grain growth and oil biosynthesis are complex processes that involve various enzymes placed in different sub-cellular compartments of the grain. In order to understand the mechanisms controlling grain weight and composition, we need mathematical models capable of simulating the dynamic behavior of the main components of the grain during the grain filling stage. In this paper, we present a non-structured mechanistic kinetic model developed for sunflower grains. The model was first calibrated for sunflower hybrid ACA855. The calibrated model was able to predict the theoretical amount of carbohydrate equivalents allocated to the grain, grain growth and the dynamics of the oil and non-oil fraction, while considering maintenance requirements and leaf senescence. Incorporating into the model the serial-parallel nature of fatty acid biosynthesis permitted a good representation of the kinetics of palmitic, stearic, oleic, and linoleic acids production. A sensitivity analysis showed that the relative influence of input parameters changed along grain development. Grain growth was mostly affected by the specific growth parameter (μ′) while fatty acid composition strongly depended on their own maximum specific rate parameters. The model was successfully applied to two additional hybrids (MG2 and DK3820). The proposed model can be the first building block toward the development of a more sophisticated model, capable of predicting the effects of environmental conditions on grain weight and composition, in a comprehensive and quantitative way.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Kinetic Modeling of Sunflower Grain Filling and Fatty Acid Biosynthesis

2016

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“…2 shown, the phyllotaxis theory of biology has shown that the arrangement of sunflower seed meets the phyllotactic equation [4,5] :…”

Section: Design Of Bionic Polishing Padmentioning

confidence: 99%

Analysis of the polishing slurry flow of chemical mechanical polishing by polishing pad with phyllotactic pattern

Zhang

Wang

et al. 2010

SPIE Proceedings

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In order to make the polishing slurry distribution more uniform over the polishing region, a new kind of polishing pad, which has sunflower seed pattern, has been designed based on the phyllotaxis theory of biology, and the boundary conditions of polishing slurry flow have been established. By the help of computational fluid dynamics software (FLUENT), the flow state of the polishing slurry is simulated and the effects of the phyllotactic parameters of polishing pad on the flow field of polishing slurry are analyzed. The results show that when the polishing slurry is imported from the center of phyllotaxis polishing pad, the slurry flows along the counterclockwise and clockwise spiral grooves of phyllotatic pattern, which make fluid flow divergence around, and the flow field becomes more uniform.

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“…For a long time it has been a challenging issue for scientists to develop appropriate measures of growth or the rate of growth for living organisms. Such measures are receiving renewed importance in applied sciences, e.g., in zoology [1], botany [2], ecology [3], population dynamics [4], demography [5], cell dynamics [6], bacterial growth [7], finance [5] etc.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous identification of growth law and estimation of its rate parameter for biological growth data: a new approach

2014

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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.Keywords Growth curve models · Average relative growth rate · Interval specific rate parameter · Overall rate parameter · Model selection

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A growth-controlled model of the shape of a sunflower head

Cited by 17 publications

References 10 publications

Kinetic Modeling of Sunflower Grain Filling and Fatty Acid Biosynthesis

Kinetic Modeling of Sunflower Grain Filling and Fatty Acid Biosynthesis

Analysis of the polishing slurry flow of chemical mechanical polishing by polishing pad with phyllotactic pattern

Simultaneous identification of growth law and estimation of its rate parameter for biological growth data: a new approach

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