Discrete And Topological Models In Molecular Biology
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Discrete and Topological Models in Molecular Biology
Author: Nataša Jonoska
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-12-23
Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.
The Topological Model of Genome and Evolution
This book deals with the missing link in the domain of functional genomics viz. genomic architecture. It begins with a deconstruction of the Darwinian paradigm using the proposed model of modified involuted manifolds. It recasts the process of natural selection as a process of information transfer. Using a topological model, this book outlines a new genomic architecture. The key argument for this proposed model is that some such structuralism has always been implicit in genomics. The proposed model fits very well with the known genomic characteristics and allows to separate the regulatory genome from the transcriptive genomes. The model is capable of discerning modular architecture of genomes with different genomic functionalities existing in hierarchical relationships and demonstrates that genomes act as units of selection and as the environment for the individual genes which act as competing species. Towards the end, the book also examines the role of genomic evolution in cancer and the principles of natural selection and evolution of the genotype. The regulatory genome is also discussed, with an emphasis on its evolution and natural selection. It is a valuable source for researchers working in functional genomics, mathematical modeling in biology and evolutionary genomics.
Models and Modeling in the Sciences
Biologists, climate scientists, and economists all rely on models to move their work forward. In this book, Stephen M. Downes explores the use of models in these and other fields to introduce readers to the various philosophical issues that arise in scientific modeling. Readers learn that paying attention to models plays a crucial role in appraising scientific work. This book first presents a wide range of models from a number of different scientific disciplines. After assembling some illustrative examples, Downes demonstrates how models shed light on many perennial issues in philosophy of science and in philosophy in general. Reviewing the range of views on how models represent their targets introduces readers to the key issues in debates on representation, not only in science but in the arts as well. Also, standard epistemological questions are cast in new and interesting ways when readers confront the question, "What makes for a good (or bad) model?" All examples from the sciences and positions in the philosophy of science are presented in an accessible manner. The book is suitable for undergraduates with minimal experience in philosophy and an introductory undergraduate experience in science. Key features: The book serves as a highly accessible philosophical introduction to models and modeling in the sciences, presenting all philosophical and scientific issues in a nontechnical manner. Students and other readers learn to practice philosophy of science by starting with clear examples taken directly from the sciences. While not comprehensive, this book introduces the reader to a wide range of views on key issues in the philosophy of science.