Stochastic Processes and Applications in Biology and Medicine. Ii. Models

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Stochastic Processes and Applications in Biology and Medicine. Ii. Models by : M. Iosifescu

Download or read book Stochastic Processes and Applications in Biology and Medicine. Ii. Models written by M. Iosifescu and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes and Applications in Biology and Medicine: Theory

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Processes and Applications in Biology and Medicine: Theory by : Marius Iosifescu

Download or read book Stochastic Processes and Applications in Biology and Medicine: Theory written by Marius Iosifescu and published by . This book was released on 1973 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stray dog is constantly frustrated in her quest for a bone. Turning the narrower pages reveals hidden portions of the illustrations.

Stochastic processes and applications in biology and medicine II

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Publisher : Springer
ISBN 13 : 9783642807558
Total Pages : 0 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Stochastic processes and applications in biology and medicine II by : Marius Iosifescu

Download or read book Stochastic processes and applications in biology and medicine II written by Marius Iosifescu and published by Springer. This book was released on 2011-12-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a revised and enlarged version of Chapter 3 of. a book with the same title, published in Romanian in 1968. The revision resulted in a new book which has been divided into two of the large amount of new material. The whole book parts because is intended to introduce mathematicians and biologists with a strong mathematical background to the study of stochastic processes and their applications in biological sciences. It is meant to serve both as a textbook and a survey of recent developments. Biology studies complex situations and therefore needs skilful methods of abstraction. Stochastic models, being both vigorous in their specification and flexible in their manipulation, are the most suitable tools for studying such situations. This circumstance deter mined the writing of this volume which represents a comprehensive cross section of modern biological problems on the theory of stochastic processes. Because of the way some specific problems have been treat ed, this volume may also be useful to research scientists in any other field of science, interested in the possibilities and results of stochastic modelling. To understand the material presented, the reader needs to be acquainted with probability theory, as given in a sound introductory course, and be capable of abstraction.

Stochastic Processes and Applications in Biology and Medicine

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Stochastic Processes and Applications in Biology and Medicine by : Marius Iosifescu

Download or read book Stochastic Processes and Applications in Biology and Medicine written by Marius Iosifescu and published by . This book was released on 1973 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 2.

Stochastic Processes and Applications in Biology and Medicine. Volume II : Models

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Publisher :
ISBN 13 :
Total Pages : 337 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Stochastic Processes and Applications in Biology and Medicine. Volume II : Models by : Petre Tautu

Download or read book Stochastic Processes and Applications in Biology and Medicine. Volume II : Models written by Petre Tautu and published by . This book was released on 1973 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic processes and applications in biology and medicine

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Publisher :
ISBN 13 :
Total Pages : 671 pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Stochastic processes and applications in biology and medicine by : Marius Iosifescu

Download or read book Stochastic processes and applications in biology and medicine written by Marius Iosifescu and published by . This book was released on 1973 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes And Applications In Biology And Medicine: Models

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Stochastic Processes And Applications In Biology And Medicine: Models by : M. Iosifescu

Download or read book Stochastic Processes And Applications In Biology And Medicine: Models written by M. Iosifescu and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Continuous-Time Stochastic Processes

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Publisher : Springer Nature
ISBN 13 : 3030696537
Total Pages : 560 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis An Introduction to Continuous-Time Stochastic Processes by : Vincenzo Capasso

Download or read book An Introduction to Continuous-Time Stochastic Processes written by Vincenzo Capasso and published by Springer Nature. This book was released on 2021-06-18 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across different fields. Beginning with the fundamentals of probability, the authors go on to introduce the theory of stochastic processes, the Itô Integral, and stochastic differential equations. The following chapters then explore stability, stationarity, and ergodicity. The second half of the book is dedicated to applications to a variety of fields, including finance, biology, and medicine. Some highlights of this fourth edition include a more rigorous introduction to Gaussian white noise, additional material on the stability of stochastic semigroups used in models of population dynamics and epidemic systems, and the expansion of methods of analysis of one-dimensional stochastic differential equations. An Introduction to Continuous-Time Stochastic Processes, Fourth Edition is intended for graduate students taking an introductory course on stochastic processes, applied probability, stochastic calculus, mathematical finance, or mathematical biology. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. Researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering will also find this volume to be of interest, particularly the applications explored in the second half of the book.

Stochastic processes and applications in biology and medicine I

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Publisher : Springer
ISBN 13 : 9783642807503
Total Pages : 0 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Stochastic processes and applications in biology and medicine I by : Marius Iosifescu

Download or read book Stochastic processes and applications in biology and medicine I written by Marius Iosifescu and published by Springer. This book was released on 2012-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a revised and enlarged version of Chapters 1 and 2 of a book with the same title, published in Romanian in 1968. The revision resulted in a new book which has been divided into two parts because of the large amount of new material. The present part is intended to introduce mathematicians and biologists with a strong mathematical and probabilistic background to the study of stochastic processes. We hope some readers will be able to discover by themselves the new features of our treatment such as the inclusion of some unusual topics, the special attention paid to some usual topics, and the grouping of the material. We draw the reader's attention to the numbering, because there are structural differences between the two parts. In Part I there are Chapters, Sections, Subsections, Paragraphs and Subparagraphs. Thus the numbering a. b. c. d. e refers to Subparagraph e of Paragraph d of Subsection c of Section b of Chapter a. Definitions, theorems lemmas and propositions are numbered a. b. n, n = 1,2, . . . , where a indicates the chapter and b the section. In Part II there are Sections, Subsections, Paragraphs, and SUbparagraphs. Thus the numbering a. b. c. d refers to Subparagraph d of Paragraph c of Subsection b of Section a. Theorems and lemmas are numbered a. n, n = 1, 2, . . . , where a indicates the section.

An Introduction to Continuous-Time Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644288
Total Pages : 348 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Continuous-Time Stochastic Processes by : Vincenzo Capasso

Download or read book An Introduction to Continuous-Time Stochastic Processes written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2008-01-03 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engineering, biomathematics, biotechnology, and finance. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. The book will be of interest to students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, physics, and engineering.

Stochastic processes and applications in biology and medicine I

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Publisher : Springer
ISBN 13 : 9783642807527
Total Pages : 0 pages
Book Rating : 4.8/5 (75 download)

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Book Synopsis Stochastic processes and applications in biology and medicine I by : Marius Iosifescu

Download or read book Stochastic processes and applications in biology and medicine I written by Marius Iosifescu and published by Springer. This book was released on 2012-01-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a revised and enlarged version of Chapters 1 and 2 of a book with the same title, published in Romanian in 1968. The revision resulted in a new book which has been divided into two parts because of the large amount of new material. The present part is intended to introduce mathematicians and biologists with a strong mathematical and probabilistic background to the study of stochastic processes. We hope some readers will be able to discover by themselves the new features of our treatment such as the inclusion of some unusual topics, the special attention paid to some usual topics, and the grouping of the material. We draw the reader's attention to the numbering, because there are structural differences between the two parts. In Part I there are Chapters, Sections, Subsections, Paragraphs and Subparagraphs. Thus the numbering a. b. c. d. e refers to Subparagraph e of Paragraph d of Subsection c of Section b of Chapter a. Definitions, theorems lemmas and propositions are numbered a. b. n, n = 1,2, . . . , where a indicates the chapter and b the section. In Part II there are Sections, Subsections, Paragraphs, and SUbparagraphs. Thus the numbering a. b. c. d refers to Subparagraph d of Paragraph c of Subsection b of Section a. Theorems and lemmas are numbered a. n, n = 1, 2, . . . , where a indicates the section.

Classical and Spatial Stochastic Processes

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Publisher : Springer
ISBN 13 : 1493918699
Total Pages : 271 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Classical and Spatial Stochastic Processes by : Rinaldo B. Schinazi

Download or read book Classical and Spatial Stochastic Processes written by Rinaldo B. Schinazi and published by Springer. This book was released on 2014-09-27 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised and expanded edition of this textbook presents the concepts and applications of random processes with the same illuminating simplicity as its first edition, but with the notable addition of substantial modern material on biological modeling. While still treating many important problems in fields such as engineering and mathematical physics, the book also focuses on the highly relevant topics of cancerous mutations, influenza evolution, drug resistance, and immune response. The models used elegantly apply various classical stochastic models presented earlier in the text, and exercises are included throughout to reinforce essential concepts. The second edition of Classical and Spatial Stochastic Processes is suitable as a textbook for courses in stochastic processes at the advanced-undergraduate and graduate levels, or as a self-study resource for researchers and practitioners in mathematics, engineering, physics, and mathematical biology. Reviews of the first edition: An appetizing textbook for a first course in stochastic processes. It guides the reader in a very clever manner from classical ideas to some of the most interesting modern results. ... All essential facts are presented with clear proofs, illustrated by beautiful examples. ... The book is well organized, has informative chapter summaries, and presents interesting exercises. The clear proofs are concentrated at the ends of the chapters making it easy to find the results. The style is a good balance of mathematical rigorosity and user-friendly explanation. —Biometric Journal This small book is well-written and well-organized. ... Only simple results are treated ... but at the same time many ideas needed for more complicated cases are hidden and in fact very close. The second part is a really elementary introduction to the area of spatial processes. ... All sections are easily readable and it is rather tentative for the reviewer to learn them more deeply by organizing a course based on this book. The reader can be really surprised seeing how simple the lectures on these complicated topics can be. At the same time such important questions as phase transitions and their properties for some models and the estimates for certain critical values are discussed rigorously. ... This is indeed a first course on stochastic processes and also a masterful introduction to some modern chapters of the theory. —Zentralblatt Math

Stochastic Processes

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Publisher : MDPI
ISBN 13 : 3039219626
Total Pages : 216 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Stochastic Processes by : Alexander Zeifman

Download or read book Stochastic Processes written by Alexander Zeifman and published by MDPI. This book was released on 2019-12-12 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.

Stochastic Processes and Applications in Biology and Medicine

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (631 download)

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Book Synopsis Stochastic Processes and Applications in Biology and Medicine by : Marius Iosefescu

Download or read book Stochastic Processes and Applications in Biology and Medicine written by Marius Iosefescu and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Modelling for Systems Biology

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Publisher : CRC Press
ISBN 13 : 9781584885405
Total Pages : 296 pages
Book Rating : 4.8/5 (854 download)

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Book Synopsis Stochastic Modelling for Systems Biology by : Darren J. Wilkinson

Download or read book Stochastic Modelling for Systems Biology written by Darren J. Wilkinson and published by CRC Press. This book was released on 2006-04-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although stochastic kinetic models are increasingly accepted as the best way to represent and simulate genetic and biochemical networks, most researchers in the field have limited knowledge of stochastic process theory. The stochastic processes formalism provides a beautiful, elegant, and coherent foundation for chemical kinetics and there is a wealth of associated theory every bit as powerful and elegant as that for conventional continuous deterministic models. The time is right for an introductory text written from this perspective. Stochastic Modelling for Systems Biology presents an accessible introduction to stochastic modelling using examples that are familiar to systems biology researchers. Focusing on computer simulation, the author examines the use of stochastic processes for modelling biological systems. He provides a comprehensive understanding of stochastic kinetic modelling of biological networks in the systems biology context. The text covers the latest simulation techniques and research material, such as parameter inference, and includes many examples and figures as well as software code in R for various applications. While emphasizing the necessary probabilistic and stochastic methods, the author takes a practical approach, rooting his theoretical development in discussions of the intended application. Written with self-study in mind, the book includes technical chapters that deal with the difficult problems of inference for stochastic kinetic models from experimental data. Providing enough background information to make the subject accessible to the non-specialist, the book integrates a fairly diverse literature into a single convenient and notationally consistent source.

Biomedical Applications of Stochastic Processes

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ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Biomedical Applications of Stochastic Processes by : Prem S. Puri

Download or read book Biomedical Applications of Stochastic Processes written by Prem S. Puri and published by . This book was released on 1974 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report is a nonmathematical paper intended for sophisticated but otherwise nonmathematical readers. The paper starts with the emphasis on stochastic models in Biology and Medicine which, because of the large variability among observations in these areas, are considered more appropriate than their deterministic analogs. Again, owing to the basic evolutionary characteristics of living things such as births and deaths, growth and decay etc., one is led in biology and medicine to many dynamic processes of development in time and space. Consequently, the use of stochastic processes for model-building for the study of various biological phenomena becomes quite natural. The paper attempts to describe nonmathematically some of the special processes, which have emerged useful models in biology and medicine over a period of time. (Modified author abstract).

Stochastic Models in Biology

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Publisher : Elsevier
ISBN 13 : 1483278107
Total Pages : 282 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stochastic Models in Biology by : Narendra S. Goel

Download or read book Stochastic Models in Biology written by Narendra S. Goel and published by Elsevier. This book was released on 2013-10-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Models in Biology describes the usefulness of the theory of stochastic process in studying biological phenomena. The book describes analysis of biological systems and experiments though probabilistic models rather than deterministic methods. The text reviews the mathematical analyses for modeling different biological systems such as the random processes continuous in time and discrete in state space. The book also discusses population growth and extinction through Malthus' law and the work of MacArthur and Wilson. The text then explains the dynamics of a population of interacting species. The book also addresses population genetics under systematic evolutionary pressures known as deterministic equations and genetic changes in a finite population known as stochastic equations. The text then turns to stochastic modeling of biological systems at the molecular level, particularly the kinetics of biochemical reactions. The book also presents various useful equations such as the differential equation for generating functions for birth and death processes. The text can prove valuable for biochemists, cellular biologists, and researchers in the medical and chemical field who are tasked to perform data analysis.