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1. |
Record Nr. |
UNINA9910822704203321 |
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Titolo |
Gems in experimental mathematics : AMS Special Session, Experimental Mathematics, January 5, 2009, Washington, DC / / Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll, editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2010] |
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©2010 |
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ISBN |
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0-8218-8196-5 |
0-8218-4869-0 |
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Descrizione fisica |
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1 online resource (426 p.) |
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Collana |
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Contemporary mathematics, ; 517 , 0271-4132 |
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Disciplina |
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Soggetti |
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Combinatorial analysis |
Number theory |
Experimental mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"This collection [of papers] is a continuation of Tapas in experimental mathematics, volume 457 [Contemporary Mathematics series]"--Preface. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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A new algorithm for the recursion of hypergeometric multi-sums with improved universal denominator -- 1. Introduction -- 2. Two algorithms -- 3. Use of the program and examples -- 4. Proof of the multi-sum algorithm -- 5. Proof of the universal denominator algorithm -- References -- The method of brackets. Part 2: Examples and applications -- History of the formulas and algorithms for IR -- A matrix form of Ramanujan-type series for 1/E -- An algorithmic approach to the Mellin transform method -- Which partial sums of the Taylor-series for e are convergents to e (and a link to the primes 2, 5, 13, 37, 463). Experimentation at the frontiers of reality in Schubert calculus -- On Sp4 modularity of Picard-Fuchs differential equations for Calabi-Yau three-folds. |
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2. |
Record Nr. |
UNINA9911019110803321 |
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Autore |
Amaratunga Dhammika <1956-> |
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Titolo |
Exploration and analysis of DNA microarray and protein array data [[electronic resource] /] / Dhammika Amaratunga, Javier Cabrera |
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Pubbl/distr/stampa |
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Hoboken, NJ, : John Wiley, c2004 |
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ISBN |
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1-282-30744-4 |
9786612307447 |
0-470-31712-4 |
0-470-31796-5 |
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Descrizione fisica |
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1 online resource (270 p.) |
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Collana |
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Wiley series in probability and statistics |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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DNA microarrays - Statistical methods |
Protein microarrays - Statistical methods |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 222-236) and indexes. |
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Nota di contenuto |
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Exploration and Analysis of DNA Microarray and Protein A rray Data; Contents; Preface; 1. A Brief Introduction; 1.1. A Note on Exploratory Data Analysis; 1.2. Computing Considerations and Software; 1.3. A Brief Outline of the Book; 2. Genomics Basics; 2.1. Genes; 2.2. DNA; 2.3. Gene Expression; 2.4. Hybridization Assays and Other Laboratory Techniques; 2.5. The Human Genome; 2.6. Genome Variations and Their Consequences; 2.7. Genomics; 2.8. The Role of Genomics in Pharmaceutical Research; 2.9. Proteins; 2.10. Bioinformatics; Supplementary Reading; Exercises; 3. Microarrays |
3.1. Types of Microarray Experiments3.1.1. Experiment Type 1: Tissue-Specific Gene Expression; 3.1.2. Experiment Type 2: Developmental Genetics; 3.1.3. Experiment Type 3: Genetic Diseases; 3.1.4. Experiment Type 4: Complex Diseases; 3.1.5. Experiment Type 5: Pharmacological Agents; 3.1.6. Experiment Type 6: Plant Breeding; 3.1.7. Experiment Type 7: Environmental Monitoring; 3.2. A Very Simple Hypothetical Microarray Experiment; 3.3. A Typical Microarray Experiment; 3.3.1. Microarray Preparation; 3.3.2. Sample Preparation; 3.3.3. The Hybridization Step; 3.3.4. Scanning the Microarray |
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3.3.5. Interpreting the Scanned Image3.4. Multichannel cDNA Microarrays; 3.5. Oligonucleotide Arrays; 3.6. Bead-Based Arrays; 3.7. Confirmation of Microarray Results; Supplementary Reading and Electronic References; Exercises; 4. Processing the Scanned Image; 4.1. Converting the Scanned Image to the Spotted Image; 4.1.1. Gridding; 4.1.2. Segmentation; 4.1.3. Quantification; 4.2. Quality Assessment; 4.2.1. Visualizing the Spotted Image; 4.2.2. Numerical Evaluation of Array Quality; 4.2.3. Spatial Problems; 4.2.4. Spatial Randomness; 4.2.5. Quality Control of Arrays |
4.2.6. Assessment of Spot Quality4.3. Adjusting for Background; 4.3.1. Estimating the Background; 4.3.2. Adjusting for the Estimated Background; 4.4. Expression Level Calculation for Two-Channel cDNA Microarrays; 4.5. Expression Level Calculation for Oligonucleotide Arrays; 4.5.1. The Average Difference; 4.5.2. A Weighted Average Difference; 4.5.3. Perfect Matches Only; 4.5.4. Background Adjustment Approach; 4.5.5. Model-Based Approach; 4.5.6. Absent-Present Calls; Supplementary Reading; Exercises; 5. Preprocessing Microarray Data; 5.1. Logarithmic Transformation |
5.2. Variance Stabilizing Transformations5.3. Sources of Bias; 5.4. Normalization; 5.5. Intensity-Dependent Normalization; 5.5.1. Smooth Function Normalization; 5.5.2. Quantile Normalization; 5.5.3. Normalization of Oligonucleotide Arrays; 5.5.4. Normalization of Two-Channel Arrays; 5.5.5. Spatial Normalization; 5.5.6. Stagewise Normalization; 5.6. Judging the Success of a Normalization; 5.7. Outlier Identification; 5.7.1 Nonresistant Rules for Outlier Identification; 5.7.2. Resistant Rules for Outlier Identification; 5.8. Assessing Replicate Array Quality; Exercises; 6. Summarization |
6.1. Replication |
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Sommario/riassunto |
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A cutting-edge guide to the analysis of DNA microarray data Genomics is one of the major scientific revolutions of this century, and the use of microarrays to rapidly analyze numerous DNA samples has enabled scientists to make sense of mountains of genomic data through statistical analysis. Today, microarrays are being used in biomedical research to study such vital areas as a drug's therapeutic value-or toxicity-and cancer-spreading patterns of gene activity. Exploration and Analysis of DNA Microarray and Protein Array Data answers the need for a comprehensive, cutting-edge overview of th |
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