eChapters

Introduction

The nucleic acids are the molecular depots that are responsible for continuity of life by transfer of hereditary information from one generation to next. The sequence of nitrogenous bases containing programmed instruction determines the structure of every cell constituent and eventually every protein. In 1869, Friedrich Miescher, Swiss chemist, isolated an unknown phosphate-rich substance from pus cells named as nuclein, which was quite different from other organic substances like carbohydrate, protein, and fat. Altmann in 1899 ascertained that the nuclein also had some acidic characteristics and changed its name to ‘nucleic acid’. Later, nucleic acid was also isolated from salmon sperm nuclei as DNA-protaminecomplex. In 1953, James D.Watson and Francis H.C. Crick constructed the model of three-dimensional double helix structure of the DNA molecule which could successfully explain DNA replication.

Nucleic acids are complex, chain-like polymers consisting of nucleotides as their monomers. Due to this characteristic, they are often referred to as polynucleotides. The largest molecules present in the biological system are nucleic acids. The two main types of nucleic acids are DNA (deoxyribonucleic acid) and RNA (ribonucleic acid). The bulk of DNA is confined to the nucleus and some cell organelles like mitochondria and chloroplast. RNA is found in both the nucleus and cytoplasm. In 1869, Johannes Friedrich Miescher isolated a substance from the nuclei of the pus cell (leukocytes). The extracted material was named nuclein, which contained an unusually large amount of phosphorus; in addition to proteins, and devoid of sulfur. Richard Altman later named the nuclein as nucleic acid. These organic molecules are found in living cells and play a crucial role in transmitting genetic information from one generation to another.

Nucleotides

Nucleotides serve as the fundamental constituents of nucleic acids. Nucleotides have flat planar and heterocyclic origin. Nucleotides are small molecules composed of three components:

1. Nitrogenous base,

2. Pentose sugar and

3. Phosphate group.

Nucleic acids like proteins occur in all living cells. They device their name because of their primary occurrence in the nucleus and acidic nature. Deoxyribose nucleic acid (DNA), one of the two nucleic acids is a major component of chromosomes. Small amounts of DNA are also found associated with chloroplasts and mitochondria.

Nucleic acids were first discovered in 1868 by Friedrich Meischer. Nucleic acids are high molecular weight polymers that are present in our cells. They store and transfer genetic material from generation to generation. Knowledge of how genes are expressed and how they can be manipulated is becoming increasingly important for understanding of nearly every aspect of biochemistry. These macromolecules p ass on information for cellular growth and reproduction. All the genetic information in the cells is called the genome. Every time a cell divides, the information is copied and passed on to the new cells.

Nucleic acids are polymeric macromolecules, or large biological molecules, essential for all known forms of life. Nucleic acids, which include DNA (deoxyribonucleic acid) and RNA (ribonucleic acid), are made from monomers known as nucleotides. Each nucleotide has three components: a 5-carbon sugar, a phosphate group, and a nitrogenous base. If the sugar is deoxiribose, the polymer is DNA. If the sugar is ribose, the polymer is RNA. Together with proteins, nucleic acids are the most important biological macromolecules; each is found in abundance in all living things, where they function in encoding, transmitting and expressing genetic information—in other words, information is conveyed through the nucleic acid sequence, or the order of nucleotides within a DNA or RNA molecule. Strings of nucleotides strung together in a specific sequence are the mechanism for storing and transmitting hereditary, or genetic, information via protein synthesis.

The term nucleic acid is the overall name for DNA and RNA, members of a family of biopolymers, and is synonymous with polynucleotide. Nucleic acids were named for their initial discovery within the nucleus, and for the presence of phosphate groups (related to phosphoric acid). Although first discovered within the nucleus of eukaryotic cells, nucleic acids are now known to be found in all life forms as well as some nonliving entities, including within bacteria, archaea, mitochondria, chloroplasts, viruses and viroids. All living cells contain both DNA and RNA (except some cells such as mature red blood cells), while viruses contain either DNA or RNA, but usually not both. The basic component of biological nucleic acids is the nucleotide, each of which contains a pentose sugar (ribose or deoxyribose), a phosphate group, and a nucleobase. Nucleic acids are also generated within the laboratory, through the use of enzymes (DNA and RNA polymerases) and by solid-phase chemical synthesis. The chemical methods also enable the generation of altered nucleic acids that are not found in nature, for example peptide nucleic acids.

Procedure

Place a portion of your RNA sample (approximately 40 mg, hydrated) into a heavy walled Pyrex test tube. Add 1.0 ml of 1 N HCl and seal the tube.

Heat the tube in a boiling water bath for 1 hour.

Cool the tube, open it and place the contents into a centrifuge tube. Centrifuge the contents at 2,000 RPM in a clinical centrifuge to remove any insoluble residue. The supernatant contains your hydrolyzed RNA.

Prepare Whatman filter paper No. 1 for standard one-dimensional chromatography.

Using a micropipette, spot 20 µl of your hydrolyzate onto the paper, being careful to keep the spots as small as possible (repeated small drops are better than one large drop). Allow the spots to completely dry before proceeding.

Place the paper chromatogram into your chromatography tank and add the solvent (acetic acid:butanol:water). Allow the system to function for an appropriate time (approximately 36 hours for a 20 cm descending strip of Whatman #1). Remove the paper and dry it in a circulating air oven at 40° C for about 2 hours.

Locate the spots of nucleotides by their fluorescence under an ultra-violet light source. Expose the paper chromatogram to a UV light source and outline the spots using a light pencil. The order of migration from the point of origin is guanine (light blue fluorescence), adenine, cytilic acid and finally, uridylic acid.

After cafefully marking the spots, cut them out with cutters and place the paper cut outs into separately labeled 15 ml conical centrifuge tubes. Add 5.0 ml of 0.1 N HCl to each tube and allow the tubes to sit for several hours to elute the nucleotides from the paper.

Leaves are alternate in distichous arrangement; lamina long and linear and leaf sheath covering the internodes; ligule membranous and auricle claw shaped. The inflorescence is a spike and florets are borne on rachis node. Each spikelet has three florets. In two row barely, lateral spikelets become sterile.

Agathi is a fast growing tree upto 10m. tall. Branching is drooping. The stem bark is deeply furrowing forming cork like plates. Leaves are compound, pinnae, 20 to 30 cm. long glabresence to pubescent. Leaflet oblong rounded 18 to 24 pairs of leaflets that are green to dark green mostly, bitter free. Inflorescence is a raceme 4 to 7 cm long and bearing 2 to 5 flowers that are white, red, yellowish and pink. Flowers are 5 to 10 cm long, 3cm wide, curved calyx bell shaped 2 cm long, 2 lobed, fine teeth like serration, fleshy. 

Crop improvement is a continuous process. Crop improvement aims to genetically enhance, enrich and empower the crop plants with superior performance, enhanced yield level, higher quality of food, nutritional, fodder, energy produce and adaptability to climate change and crop growing environments. The intrinsic virtues of the improved cultivars could be sustained mainly through the production of the quality assured seeds endowed with genetic capabilities. The quality assured seed delivery system is through the seed chain from the basic seeds through Nucleus-Breeder-Foundation-Certified seed. Quality seed production system need to be based on genetic, breeding and seed technological protocols including field and laboratory testing to ensure very high genetic purity, true to type and superiority.

In mathematics, we use different type of digits called numbers. These numbers may be real, natural, rational, irrational, composite and complex, imaginary, perfect, positive and negative integers, whole number, prime and co prime numbers and even-odd numbers and make students confused. Therefore the concept of numbers should be very clear to the students so that they may answer the questions easily.

The number system mainly into classified into 8 types.

1.1 Introduction to Numerical Method

There are three types by which problem / system can be solved and are analytical methods, graphical methods and numerical methods.

Analytical methods: This approach or methods are used to find the exact solution of simple problems / systems rather than complex systems. It provides the behavior and characteristic features of a particular system, but can only be used for systems which can be approximated through use of linear models. Another limitation is in the case of practical problems, consisting of complex and nonlinear equations / processes, as analytical methods cannot handle properly.

Graphical methods: This approach or methods are used to find the approximate solution of problems / systems through drawing of graphs for each of the equation and then check for the intersection of graphs. Intersection of graphs represents solution to system of equations, and no interaction or parallel lines of graphs represents no solution. This is not useful because of non-precise nature due to graphs drawing through hands, which also makes the process tedious. Another limitation is its viability for problems involving three or lesser dimensions.

Numerical methods: This approach or methods are used to find the approximate solution of problems / systems in a simpler way involving a large quantity of long arithmetic calculations, as compared to analytical methods. Numerical methods are the techniques by which mathematical problems are formulated to find the solution through arithmetic operations.

4.1 Introduction

Numerical differentiation is the process of computing the function’s derivative values from the given set of numerical values when the actual form of the function is not known.

Similar to the numerical interpolation, a number of formulae for differentiation are derived in this chapter and are

1. Derivatives Based on Newton’s Forward Interpolation Formula: This is used to compute the derivative for some given x lying near the beginning of the data table.
2. Derivatives Based on Newton’s Backward Interpolation Formula: This is used to compute the derivative for a point near the end of the data table.
3. Derivatives Based on Stirling’s and Bessel’s Interpolation Formula: This is used to compute the derivative for some point lying in the middle of the data table.
4. Derivatives Based on Newton’s Divided Difference Formula: This is used to compute the derivative for some point when the data table is not equi- spaced.

Abstract

Groundwater flow modeling in hydrological sciences is one of the main tools used to assess the resource potential in terms of quantity and to predict the future impacts under different stresses/scenarios. This case study is prepared to present the  groundwater flow model for the Osian-Mandore pilot area with 12 villages of Mandore Block and 21 village of Osian Block in Jodhpur district of Rajasthan. The spatial model parameters and spatio-temporal fluxes were acquired and processed using remote sensing, GIS and Groundwater flow modeling interfaces. MODFLOW software was used to model the groundwater flow system in three interfaces PMWIN 5.3.0, Groundwater Modeling System and Visual MODFLOW. 

7.1 Introduction

A Scottish mathematician David Gibb was firstly introduced a term ‘Numerical Integration’ in 1915. Like numerical differentiation, numerical integration is also a very useful tool for scientists and engineers especially when they have an experimental data for different variables without knowing any mathematical relationship between them. Beside it, there are also many other situations where it plays an important role for integrating the functions like:

Problem 1: Prepare a lay-out plan of model kitchen garden for a family having five (5) members. Calculate the total amount of vegetable required per year and area of the same kitchen garden. Give the suitable crop rotation and show by diagrammatic representation.

Ans.: Total amount of vegetables required annually

Problem-Recommended dose of N:P:K for bearing mango tree 1.0 Kg N: 0.87 Kg P and 1.66 Kg K annually per plant. Available fertilizers are urea, DAP and MOP for supplying of NPK respectively.

So, for an orchard of 1 hectare area, the total number of plants is 100 if spacing is 10m x 10m

Problem- Calculate the amount of farm yard manure, urea, single super phosphate and murate of potash for one hectare tomato crop which require 100, 60, 60 kg ha N, P, K respectively. 1/3 quantity of nitrogen should be given through farm yard manure and rest through chemical fertilizers

Problem- Prepare a layout plan for establishing on ideal mango orchard near Varanasi city in 2ha area under high density planting. Calculate the number of plants needed for planting and amount of DAP and sulphate of potash heeded or planting. Also mention the name of cultivars for this region under HDP (200:100:200 NPK g/plant)

Problem-Prepare of a layout plan of orchard for 10 ha. area which is situated on the highway. The dimension of the orchard is 3:2. Calculate the areas under each crop which will you grow and also write their suitable variety along with their suitable diagram. Also fulfill the following information about orchard