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It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objectsare engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. 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The movement of the VGM across the host cell outer membrane and within the host cell is a spatiotemporal dynamic process that is modeled in this book as a system of ordinary and partial differential equations (ODE\/PDEs).  The movement of the virus proteins through the cell membrane is modeled as a diffusion process expressed by the diffusion PDE (Fick’s second law). Within the cell, the time variation of the VGM is modeled as ODEs. The evolution of the dependent variables is computed by the numerical integration of the ODE\/PDEs starting from zero initial conditions (ICs). The departure of the dependent variables from zero is in response to the virus protein concentration at the outer membrane surface (the point at which the virus binds to the host cell).  The numerical integration of the ODE\/PDEs is performed with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader\/researcher\/analyst can execute on modest computers. The ODE\/PDE dependent variables are displayed graphically with basic R plotting utilities.  The R routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. 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It presents the results of the latest investigations in the field of DL for biomedical data analysis. The techniques and approaches presented in this book deal with the most important and\/or the newest topics encountered in this field. They combine fundamental theory of Artificial Intelligence (AI), Machine Learning (ML) and DL with practical applications in Biology and Medicine. Certainly, the list of topics covered in this book is not exhaustive but these topics will shed light on the implications of the presented techniques and approaches on other topics in biomedical data analysis. The book finds a balance between theoretical and practical coverage of a wide range of issues in the field of biomedical data analysis, thanks to DL. The few published books on DL for biomedical data analysis either focus on specific topics or lack technical depth. The chapters presented in this book were selected for quality and relevance. The book also presents experiments that provide qualitative and quantitative overviews in the field of biomedical data analysis.  The reader will require some familiarity with AI, ML and DL and will learn about techniques and approaches that deal with the most important and\/or the newest topics encountered in the field of DL for biomedical data analysis. He\/she will discover both the fundamentals behind DL techniques and approaches, and their applications on biomedical data. This book can also serve as a reference book for graduate courses in Bioinformatics, AI, ML and DL. The book aims not only at professional researchers and practitioners but also graduate students, senior undergraduate students and young researchers. 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Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models.  As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological processesinto a unified mathematical theory, and to arrive at revealing biological conclusions.  The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52911404417303,"sku":null,"price":6072.63,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319612959.jpg?v=1781269744"},{"product_id":"directed-enzyme-evolution-advances-and-applications-9783319504131","title":"Directed Enzyme Evolution: Advances and Applications","description":"\u003cp\u003eThis book focuses on some of the most significant advances in enzyme engineering that have been achieved through directed evolution and hybrid approaches. On the 25th anniversary of the discovery of directed evolution, this volume is a tribute to the pioneers of this thrilling research field, and at the same time provides a comprehensive overview of current research and the state of the art. Directed molecular evolution has become the most reliable and robust method to tailor enzymes, metabolic pathways or even whole microorganisms with improved traits. By mirroring the Darwinian algorithm of natural selection on a laboratory scale, new biomolecules of invaluable biotechnological interest can now be engineered in a manner that surpasses the boundaries of nature. The volume is divided into two sections, the first of which provides an update on recent successful cases of enzyme ensembles from different areas of the biotechnological spectrum, including tryptophan synthases, unspecific peroxygenases, phytases, therapeutic enzymes, stereoselective enzymes and CO2-fixing enzymes. This section also provides information on the directed evolution of whole cells. The second section of the book summarizes a variety of the most applicable methods for library creation, together with the future trends aimed at bringing together directed evolution and in silico\/computational enzyme design and ancestral resurrection.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52911411462423,"sku":null,"price":18829.37,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319504131.jpg?v=1781270051"},{"product_id":"molecular-markers-in-mycology-9783319341064","title":"Molecular Markers in Mycology","description":"\u003cp\u003eThe Kingdom fungi encompass a massive diversity of taxa with wide-ranging ecologies, life cycles, and morphologies ranging from unicellular aquatic chytrids to large mushrooms. Before molecular methods came in existence, taxonomists considered this Kingdom to be a member of the plant kingdom due to certain life styles like immobility and growth habitats. Molecular markers (also known as DNA markers), facilitated a better alternative method over traditional morphological methods, employed for the identification, characterization, and to understand the evolution of fungi. The morphological methods used for identification are mainly dependent on spore color or microscopic features whereas molecular markers are based on DNA polymorphism in the genomic organization. Phylogenetic studies reported in last decade, based on molecular markers, have reshaped the classification system of Kingdom fungi, which divided into one subkingdom, seven phyla, and ten subphyla. Recent advances in molecular mycology have opened the way for researchers to identify and characterize novel fungal species from unique environments. Mycology is concerned with the systematic study of fungi, including their genetic and biochemical properties, their use to humans as a source of medicine and food, as well as their dangers, such as poisoning and infections. In the 21st century with the development of DNA sequencing technologies and phylogenetic analysis based on molecular markers, new insights into fungal taxonomy were provided. This book contains a thorough discussion of molecular characterization and detection of different groups of fungi by using PCR-based markers and provides a comprehensive view of the applications and uses of different molecular markers in molecular mycology. It also addresses the recent molecular markers employed to solve the problems of identification and discusses current approaches used in molecular characterization and detection of fungi.\u003c\/p\u003e","brand":"Gardners","offers":[{"title":"Default Title","offer_id":52911909306647,"sku":null,"price":20179.14,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0679\/6918\/8119\/files\/9783319341064.jpg?v=1781501796"}],"url":"https:\/\/payment.letskitaboo.com\/te\/collections\/data-science-computers.oembed?page=4","provider":"Kitaboo One eStore","version":"1.0","type":"link"}