calculo diferencial e integral granville pdf

It has also been found that endosperm cell number plays an important role in GWP since the study by Brocklehurst (1977).

The simplest way to address this complex trait has been through the monitoring of the rate of dry matter accumulation and the duration of the grain-filling period ( Asana and Williams, 1965 Sofield et al., 1977 Wiegand and Cuellar, 1981). However, the physiological mechanisms involved in the determination of grain weight and size are still poorly understood.Ī number of approaches have been attempted in wheat and other crops to understand the determination of grain weight potential (GWP). Indeed, future increases of wheat yield potential could be achieved by improving individual grain weight as a breeding strategy aimed at avoiding the setting of smaller grains in more distal positions of the spike with a lower grain nutrient concentration ( Calderini and Ortiz-Monasterio, 2003). In wheat, grain weight (GW) is important not only for yield, but also in determining seed and grain quality ( Marshall et al., 1986 Richards and Lukacs, 2002). Uncovering the importance of particular genes in the determination of complex traits represents a key challenge for interdisciplinary efforts in improving efficiency in plant breeding of crops for food production. Molecular assisted breeding in crops needs to bridge the gap between knowledge in ecophysiology and advances in functional genomics. The early part of the expression profile of this putative expansin gene correlates well with the critical periods of early grain expansion, suggesting it as a possible factor in the final determination of grain size. The signal in these images is likely to be the sum of the transcript levels of all three sequences with high similarity to the TaExpA6 gene. RNA in situ hybridization studies revealed that the transcript for TaExpA6 was principally found in the pericarp during early growth in grain development and, subsequently, in both the endosperm and pericarp. Sequences showing high homology with TaExpA6 were notably abundant during early grain expansion and declined as maturity was reached. Eight expansin coding sequences were isolated from pericarp RNA and the temporal profiles of accumulation of these transcripts were monitored. The main events that defined final grain weight occurred during the first third of grain-filling when maternal tissues (the pericarp of grains) undergo considerable expansion. Grain length was found to be the trait that best correlated with final grain weight ( r 2=0.98, P <0.01) and volume ( r 2=0.94, P <0.01). The stabilized water content of grains showed a strong association with final grain weight ( r 2=0.88, P <0.01). In the present study, the dynamics of dry matter accumulation, water uptake, and grain size in parallel with the expression of expansins during grain growth in wheat were analysed.

A clearer understanding of the physiological and molecular determinants of this complex trait would provide an insight into the potential benefits for plant breeding. He died in his home as a result of a heart attack.He was married and had two daughters.Grain weight is one of the most important components of cereal yield and quality. While at the college he also served as president of the American Federation of Lutheran Brotherhoods.Following his resignation from Gettysburg College in 1923, he joined the Washington National Insurance Company. During his tenure the college became an accredited institution. He published several textbooks on mathematics that were widely used throughout the United States.In 1910 he was elected to serve as president of Gettysburg College by a unanimous vote. His dissertation was titled, 'Referat on the Origin and Development of the Addition-Theorem in Elliptic Functions'. For fifteen years, beginning in 1895, he was professor of mathematics at Yale, and was awarded a Ph.D in mathematics from that institution in 1897 under James Pierpont. In 1893 he was awarded a bachelor's degree in mathematics from Yale University. William Anthony Granville (Decem– February 4, 1943) was an American mathematician, and served as president of Gettysburg College from 1910 until 1923.OverviewGranville began his teaching career at Bethany College where he was an instructor of mathematics and served as the college treasurer.

Calculo diferencial e integral granville pdf