scholarly journals Mathematical Model of Flower Stalk Development in Chinese Cabbage Affected by Low Temperature and Photoperiod

1979 ◽  
Vol 17 (1) ◽  
pp. 17-26 ◽  
Author(s):  
Keiichiro MORI ◽  
Hiromi EGUCHI ◽  
Tsuyoshi MATSUI
Author(s):  
M.K. Samal

In this chapter, a mathematical model for rate of formation of chromium carbides near the grain boundary, which is a pre-cursor to chromium depletion and corresponding sensitization behavior in stainless steels, is presented. This model along with the diffusion equation for chromium in the grain has been used to obtain chromium depletion profiles at various time and temperature conditions. Finite difference method has been used to solve the above equations in the spherical co-ordinate system and the results of time-temperature-sensitization diagrams of four different types of alloys have been compared with those of experiment from literature. For the problem of low temperature sensitization and corresponding inter-granular corrosion in austenitic stainless steel, it is very difficult to carry out experiment at higher temperatures and justify its validity at lower operating temperatures by extrapolation. The development of predictive models is highly useful in order to design the structures for prevention of corrosion of the material in aggressive environments.


2018 ◽  
Vol 222 ◽  
pp. 11-19 ◽  
Author(s):  
C. Vilas ◽  
A.A. Alonso ◽  
J.R. Herrera ◽  
M. Bernárdez ◽  
M.R. García

Author(s):  
Yu.F. Snezhkin ◽  
V.М. Paziuk ◽  
Zh.O. Petrova

The mathematical processing of experimental data obtained during the drying of spherical form of capillary-porous materials on a convective drying bench allows us to determine the influence of various factors on the process. The main factors influencing the kinetics of drying of capillary-porous materials of spherical shape are the temperature and velocity of the heat carrier, as well as the initial moisture content of the material. For each factor, the variation levels corresponding to the optimal conditions for conducting experimental studies with low-temperature drying conditions are recommended. For a mathematical description of the duration of drying of capillary-porous materials, we use an orthogonal composite plan of the second order. As a result, the proposed mathematical model of the process obtained regression equations and the response surface of the duration of drying of capillary-porous materials of spherical shape. The obtained regression equations of the drying time give a detailed description of the influence of both individual and joint actions of factors, the significance of these parameters is determined by the corresponding coefficients according to Student's criterion. Also, the adequacy of the mathematical model according to Fisher's criterion, which corresponds to the real object, is checked. The construction of the response surfaces of the drying time of capillary-porous materials indicates the nature of the effect of these factors in the given range of variation.


2019 ◽  
Author(s):  
Xiaonan Lu ◽  
Ming Gao ◽  
Yaxiong Cheng ◽  
Meilan Li ◽  
Xiaoyong XU

Abstract Background Plant Glycine-rich proteins, a superfamily with a glycine-rich domain, play an important role in various stress such as low temperature, drought, high salt, and so on. Although the research of GRP genes has been reported in many plants, the GRP gene has seldom reported in Chinese cabbage so far. Research results made a guide to further understand the function of BrGRP genes in Chinese cabbage. Results In this study, a total of 141 glycine-rich protein genes were identified in Chinese cabbage by homology comparative analysis. A further prediction of physical and chemical characteristics revealed that 58.3% of BrGRPs were alkalines, 63.1% of BrGRPs were unstable, and 73.8% were hydrophilic. Conserved domain analysis showed that 110 BrGRPs contained 18 same conserved motifs, and could be classified into five main subclasses which the evolutionary relationship and gene structure may be conserved while the other 31 BrGRPs, including Bra014168 , Bra040002 , etc, may gain new functions or gradually lost gene functions according to the evolution process. These identified BrGRP genes were also located in ten chromosomes and three different subgenomes of Chinese cabbage, and 101 pairs of orthologous GRP genes were found between Chinese cabbage and Arabidopsis. According to the opened transcriptome data, we found that 138 BrGRP genes showed abnormal expression at high temperature, 108 BrGRP genes showed abnormal expression at low temperature, and 74 at drought stress, 47 at soft rot stress, while only 3 and 7 genes at ozone and salt stress, respectively. Further promoter motif analysis found that a large number of stress-related cis-acting elements, such as DRE, MYC, MYB, and ABRE, were identified in their promoter regions, which were in correspondence with previous differential expression. In addition, some BrGRP genes were involved in multiple stresses suggested their broad-spectrum resistance. Conclusion A total of 141 GRP genes were identified in Chinese cabbage, which suggested their potential roles in plant stress response. But the molecular mechanisms by which BrGRP genes respond and resist biotic and abiotic stress remain unclear. These results may provide an important basis for the study of their function in Chinese cabbage.


Plants ◽  
2020 ◽  
Vol 9 (9) ◽  
pp. 1235
Author(s):  
Yali Qiao ◽  
Xueqin Gao ◽  
Zeci Liu ◽  
Yue Wu ◽  
Linli Hu ◽  
...  

Similar to radical-induced cell death 1 (SROs) is a family of small proteins unique to plants. SRO transcription factors play an important role in plants’ response to biotic and abiotic stresses. In this study, we identified 12 BrSRO genes in Chinese cabbage (Brassica rapa L.). Among them, a comprehensive overview of the SRO gene family is presented, including physical and chemical characteristics, chromosome locations, phylogenetic analysis, gene structures, motif analysis, and cis-element analyses. The number of amino acids of BrSRO genes is between 77–779 aa, isoelectric point changed from 6.02 to 9.6. Of the 12 BrSRO genes, 11 were randomly distributed along the 7 chromosomes, while BrSRO12 was located along unassigned scaffolds. Phylogenetic analysis indicated that the SRO proteins from six species, including Arabidopsis, banana, rice, Solanum lycopersicum, Zea mays, and Chinese cabbage were divided into eleven groups. The exon-rich BrSRO6 and BrSRO12 containing 15 exons were clustered to group K. All 12 genes have motif 2, which indicate that motif 2 is a relatively conservative motif. There are many hormone and stress response elements in BrSRO genes. The relative expression levels of 12 BrSRO genes under high temperature, drought, salt, and low temperature conditions were analyzed by real-time fluorescence quantitative PCR. The results indicated the relative expression level of BrSRO8 was significantly up-regulated when plants were exposed to high temperature. The relative expression levels of BrSRO1, 3, 7, 8, and 9 were higher under low temperature treatment. The up-regulated genes response to drought and salt stresses were BrSRO1, 5, 9 and BrSRO1, 8, respectively. These results indicated that these genes have certain responses to different abiotic stresses. This work has provided a foundation for further functional analyses of SRO genes in Chinese cabbage.


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