Using a Mathematical Model of Phloem Transport to Optimize Strategies for Crop Improvement

2019 ◽  
pp. 387-395
Author(s):  
Motohide Seki
Keyword(s):  
Mathematical Model ◽  
Crop Improvement ◽  
Phloem Transport

scholarly journals Environmental conditions, not sugar export efficiency, limit the length of conifer leaves

2018 ◽  
Vol 39 (2) ◽  
pp. 312-319
Author(s):  
Xiaoyu Han ◽  
Robert Turgeon ◽  
Alexander Schulz ◽  
Johannes Liesche
Keyword(s):  
Mathematical Model ◽  
Light Availability ◽  
Sugar Transport ◽  
Leaf Size ◽  
Phloem Transport ◽  
Limiting Factor ◽  
Needle Length ◽  
Physiological Factors ◽  
Needle Size ◽  
General Variation

Abstract Most conifer species have needle-shaped leaves that are only a few centimeters long. In general, variation in leaf size has been associated with environmental factors, such as cold or drought stress. However, it has recently been proposed that sugar export efficiency is the limiting factor for conifer needle length, based on the results obtained using a mathematical model of phloem transport. Here, phloem transport rates in long conifer needles were experimentally determined to test if the mathematical model accurately represents phloem transport. The validity of the model’s assumptions was tested by anatomical analyses and sugar quantification. Furthermore, various environmental and physiological factors were tested for their correlation with needle length. The results indicate that needle length is not limited by sugar transport efficiency, but, instead, by winter temperatures and light availability. The identification of factors that influence needle size is instrumental for using this trait as a variable in breeding programs.

Molecular Biology and Crop Improvement

1986 ◽  
Author(s):  
R. B. Austin ◽  
R. B. Flavell ◽  
I. E. Henson ◽  
H. J. B. Lowe
Keyword(s):  
Molecular Biology ◽  
Crop Improvement

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

A MATHEMATICAL MODEL FOR PARTICLE CLASSIFICATION

1988 ◽  
Vol 8 (2) ◽  
pp. 133-144 ◽  
Author(s):  
Chunxuan Jiang
Keyword(s):  
Mathematical Model ◽  
Particle Classification

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

Sign in / Sign up

Export Citation Format

Share Document