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Another interesting question as to what effect a certain mixing of genetic factors, each one of these factors determining a phenotype separately (and optimally), would determine an optimal phenotype. An answer to this question would be important from the standpoint of transgenic strategies.
But this book is not about optimization theory in genetics, but one that introduces the reader to an analysis, in the authors view, of how evolution happens, and not a predictive tool of what ought to evolve. And, as the authors correctly point out, the time scales needed to evolve an optimal phenotype are not usually dealt with in discussion on optimization strategies. The authors also argue that optimization theories do not consider the expected phenotypic variance or the influence of random drift or mutation. Quantitative genetics does this, they state, and they define it as a mechanistic theory of the evolutionary process.
What is also interesting about quantitative genetics is that it was responsible directly or indirectly for a large body of statistical theory, many of these results being standard material in modern classes in statistics. It is also beginning to find an intersection with the theory of molecular genetics. The authors remark that eventually both quantitative and molecular genetics will have to answer to each other, and they give a taste of this in the chapter on marked-based analysis and QTLs.
There is no question that the reading of this book will give the reader a comprehensive overview of quantitative genetics. But, it takes an very long time to get through, and there are no exercises to test the understanding. Readers will need a fair knowledge of statistics to read the book, but there are three chapters and appendices in the back of the book outlining some of the necessary statistical concepts. The level of mathematics is the most sophisticated in the last chapter, which uses techniques such as maximum likelihood, expectation maximization, and restricted maximum likelihood. Readers with a background in bioinformatics will be very familiar with these techniques. Newton-Rhapson methods and Fisher's scoring method are discusses as derivative-based methods for solving the ML/REML equations and compared with the EM methods for doing the same. The authors are very convincing in informing the reader of the difficulty in estimating genetic variance components in real populations. Also, and most importantly, there are myriads or real-world examples given to illustrate the theory.
For molecular geneticists, and for those very curious about the connection between molecular biology and quantitative genetics, chapter 14, covering the principles of marker-based analysis, would probably be the most interesting in the book. The treatment is both historical, discussing the effects of entire chromosomes, and modern, discussing topics such as using markers or the construction of nearly isogenic lines and cloning individual QTLs. In the 'classical' approach to marker-based methods the authors discuss chromosomal assays, wherein a chromosome from one line is substituted into a standard genetic background chosen to have minimum variance. Since a chromosomal segment may contain a large position of the total genome, the authors take what could be called a 'coarse-grained' approach that utilizes genetic factors rather than a 'microscopic' one emphasizing individual genes. Such a strategy requires large sample sizes if one is to detect factors that result in extremely small effects. Examples of this approach are given, and the authors discuss its weaknesses, one being that a large chromosomal section can have QTLs that have effects in opposite directions, resulting in a net effect close to zero. Thoday's method is also discussed in order to point out the limitations of using flanking-marker mapping methods. The genetics of Drosophila bristle number is also briefly treated, but many references are given.
Recoginizing that direct sequencing of DNA gives a measure of genetic variation, the authors point out though that restriction fragment length polymorphisms are suitable for most purposes, assuming that these are detectable. The advantages and disadvantages of other techniques, such as randomly amplified polymorphic DNAs, are also discussed. The arithmetic involved in genetic mapping is treated in fair detail, the authors overviewing what is involved mathematically in map distances, recombination frequencies, and in the estimation of how many randomly distributed markers are needed to gaurantee that a portion of the genome is within a given number of map units of a marker. The strategies for mapping and cloning of QTLs are the main emphasis in the rest of the chapter. Some of the more interesting discussions here include: 1. The phenomena of 'linkage drag', wherein linked undesirable geness can be dragged along with the marker; 2. Candidate loci and their use in the study of genetic disorders. The authors outline in great detail the problems with this approach, such as linkage disequilibrium; 3. Gene cloning and its use in the study of QTLs. The authors discuss two different cloning strategies, namely that of transposon tagging and positional cloning. The authors emphasize the need for inbred lines for the detection of QTLs by transposon tagging to reduce variance from segregation at other loci. Because of this need, they seem skeptical of the general use of this technique, but give a brief argument as to its possible success using homologies in sequence data between species. The authors also emphasize the complexity involved in the use of positional cloning and comparative mapping and then outline an algorithm as to how to use NILs to do positional cloning of a QTL.
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