Stochastic Models In The Life Sciences And Their Methods Of Analysis PDF Download
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| Author | : Wan Frederic Y M |
| Publisher | : World Scientific |
| Total Pages | : 476 |
| Release | : 2019-08-29 |
| Genre | : Mathematics |
| ISBN | : 981327462X |
Download Stochastic Models In The Life Sciences And Their Methods Of Analysis Book in PDF, ePub and Kindle
Biological processes are evolutionary in nature and often evolve in a noisy environment or in the presence of uncertainty. Such evolving phenomena are necessarily modeled mathematically by stochastic differential/difference equations (SDE), which have been recognized as essential for a true understanding of many biological phenomena. Yet, there is a dearth of teaching material in this area for interested students and researchers, notwithstanding the addition of some recent texts on stochastic modelling in the life sciences. The reason may well be the demanding mathematical pre-requisites needed to 'solve' SDE.A principal goal of this volume is to provide a working knowledge of SDE based on the premise that familiarity with the basic elements of a stochastic calculus for random processes is unavoidable. Through some SDE models of familiar biological phenomena, we show how stochastic methods developed for other areas of science and engineering are also useful in the life sciences. In the process, the volume introduces to biologists a collection of analytical and computational methods for research and applications in this emerging area of life science. The additions broaden the available tools for SDE models for biologists that have been limited by and large to stochastic simulations.
| Author | : Narendra S. Goel |
| Publisher | : Elsevier |
| Total Pages | : 282 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483278107 |
Download Stochastic Models in Biology Book in PDF, ePub and Kindle
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.
| Author | : Howard M. Taylor |
| Publisher | : Academic Press |
| Total Pages | : 410 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483269272 |
Download An Introduction to Stochastic Modeling Book in PDF, ePub and Kindle
An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.
| Author | : Jacques Istas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 170 |
| Release | : 2005-10-04 |
| Genre | : Mathematics |
| ISBN | : 354027877X |
Download Mathematical Modeling for the Life Sciences Book in PDF, ePub and Kindle
Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading
| Author | : Andreas Diekmann |
| Publisher | : Academic Press |
| Total Pages | : 352 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483266567 |
Download Stochastic Modelling of Social Processes Book in PDF, ePub and Kindle
Stochastic Modelling of Social Processes provides information pertinent to the development in the field of stochastic modeling and its applications in the social sciences. This book demonstrates that stochastic models can fulfill the goals of explanation and prediction. Organized into nine chapters, this book begins with an overview of stochastic models that fulfill normative, predictive, and structural–analytic roles with the aid of the theory of probability. This text then examines the study of labor market structures using analysis of job and career mobility, which is one of the approaches taken by sociologists in research on the labor market. Other chapters consider the characteristic trends and patterns from data on divorces. This book discusses as well the two approaches of stochastic modeling of social processes, namely competing risk models and semi-Markov processes. The final chapter deals with the practical application of regression models of survival data. This book is a valuable resource for social scientists and statisticians.
| Author | : Marius Iosifescu |
| Publisher | : |
| Total Pages | : 348 |
| Release | : 1973 |
| Genre | : Mathematics |
| ISBN | : |
Download Stochastic Processes and Applications in Biology and Medicine Book in PDF, ePub and Kindle
Vol. 2.
| Author | : V. Thangaraj |
| Publisher | : |
| Total Pages | : 256 |
| Release | : 2016-06-28 |
| Genre | : Stochastic processes |
| ISBN | : 9788184875447 |
Download Stochastic Modeling in Physical and Biological Sciences Book in PDF, ePub and Kindle
Discusses basic definitions, important properties and results on Markov Chains giving examples to understand the intricacies of the theory of Markov Chains. This book elaborates continuous time stochastic processes for modeling purpose explaining in detail with examples and includes an application oriented chapter on how stochastic modeling throws light on physical sciences. Basics on branching processes and their applications are explained pedagogically with a view to develop modeling capacity in biological sciences. Queues are a ubiquitous part of everyday life. This volume throws light on the foundation for stochastic modeling on queues. Interestingly, it presents bulk service queues an offshoot of professor Medhi's foundation on queues. A monumental and seminal contribution of Professor Neuts on matrix geometric methods is presented in a neat form. Finally, it meticulously designs some stochastic biological models and shows how stochastic modeling can project the prosperity of biological sciences.
| Author | : V. G. Kulkarni |
| Publisher | : Springer |
| Total Pages | : 313 |
| Release | : 2010-11-03 |
| Genre | : Mathematics |
| ISBN | : 1441917721 |
Download Introduction to Modeling and Analysis of Stochastic Systems Book in PDF, ePub and Kindle
This book provides a self-contained review of all the relevant topics in probability theory. A software package called MAXIM, which runs on MATLAB, is made available for downloading. Vidyadhar G. Kulkarni is Professor of Operations Research at the University of North Carolina at Chapel Hill.
| Author | : Johannes Müller |
| Publisher | : Springer |
| Total Pages | : 721 |
| Release | : 2015-08-13 |
| Genre | : Mathematics |
| ISBN | : 3642272517 |
Download Methods and Models in Mathematical Biology Book in PDF, ePub and Kindle
This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networks and population genetics. A variety of mathematical methods are introduced, ranging from ordinary and partial differential equations to stochastic graph theory and branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.
| Author | : Hossein Bonakdari |
| Publisher | : Elsevier |
| Total Pages | : 372 |
| Release | : 2022-04-13 |
| Genre | : Business & Economics |
| ISBN | : 0323972756 |
Download Stochastic Modeling Book in PDF, ePub and Kindle
Stochastic Modeling: A Thorough Guide to Evaluate, Pre-Process, Model and Compare Time Series with MATLAB Software allows for new avenues in time series analysis and predictive modeling which summarize more than ten years of experience in the application of stochastic models in environmental problems. The book introduces a variety of different topics in time series in the modeling and prediction of complex environmental systems. Most importantly, all codes are user-friendly and readers will be able to use them for their cases. Users who may not be familiar with MATLAB software can also refer to the appendix. This book also guides the reader step-by-step to learn developed codes for time series modeling, provides required toolboxes, explains concepts, and applies different tools for different types of environmental time series problems. Provides video tutorials on the use of codes Includes a companion site with 3,000 lines of programming, 70 principal codes and 100 pseudo codes Highlights multiple methods to Illustrate each problem
