Stochastic Biomathematical Models

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Stochastic Biomathematical Models

Mostafa Bachar,Jerry J. Batzel,Susanne Ditlevsen
Stochastic Biomathematical Models Book PDF

Author : Mostafa Bachar,Jerry J. Batzel,Susanne Ditlevsen
Publisher : Springer
Page : 206 pages
File Size : 51,5 Mb
Release : 2012-10-19
Category : Mathematics
ISBN : 9783642321573

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Stochastic Biomathematical Models by Mostafa Bachar,Jerry J. Batzel,Susanne Ditlevsen Pdf

Stochastic biomathematical models are becoming increasingly important as new light is shed on the role of noise in living systems. In certain biological systems, stochastic effects may even enhance a signal, thus providing a biological motivation for the noise observed in living systems. Recent advances in stochastic analysis and increasing computing power facilitate the analysis of more biophysically realistic models, and this book provides researchers in computational neuroscience and stochastic systems with an overview of recent developments. Key concepts are developed in chapters written by experts in their respective fields. Topics include: one-dimensional homogeneous diffusions and their boundary behavior, large deviation theory and its application in stochastic neurobiological models, a review of mathematical methods for stochastic neuronal integrate-and-fire models, stochastic partial differential equation models in neurobiology, and stochastic modeling of spreading cortical depression.

Methods and Models in Mathematical Biology

Johannes Müller,Christina Kuttler
Methods and Models in Mathematical Biology Book PDF

Author : Johannes Müller,Christina Kuttler
Publisher : Springer
Page : 711 pages
File Size : 51,5 Mb
Release : 2015-08-13
Category : Mathematics
ISBN : 9783642272516

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Methods and Models in Mathematical Biology by Johannes Müller,Christina Kuttler Pdf

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.

Stochastic Processes and Applications in Biology and Medicine: Theory

Marius Iosifescu,Petre Tăutu
Stochastic Processes and Applications in Biology and Medicine Theory Book PDF

Author : Marius Iosifescu,Petre Tăutu
Publisher : Unknown
Page : 340 pages
File Size : 49,8 Mb
Release : 1973
Category : Mathematics
ISBN : UOM:39015017343321

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Stochastic Processes and Applications in Biology and Medicine: Theory by Marius Iosifescu,Petre Tăutu Pdf

A stray dog is constantly frustrated in her quest for a bone. Turning the narrower pages reveals hidden portions of the illustrations.

Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Anatoly Swishchuk,Jianhong Wu
Evolution of Biological Systems in Random Media Limit Theorems and Stability Book PDF

Author : Anatoly Swishchuk,Jianhong Wu
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 54,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401715065

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Evolution of Biological Systems in Random Media: Limit Theorems and Stability by Anatoly Swishchuk,Jianhong Wu Pdf

This is a new book in biomathematics, which includes new models of stochastic non-linear biological systems and new results for these systems. These results are based on the new results for non-linear difference and differential equations in random media. This book contains: -New stochastic non-linear models of biological systems, such as biological systems in random media: epidemic, genetic selection, demography, branching, logistic growth and predator-prey models; -New results for scalar and vector difference equations in random media with applications to the stochastic biological systems in 1); -New results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability; -New approach to the study of stochastic biological systems in random media such as random evolution approach.

An Introduction to Continuous-Time Stochastic Processes

Vincenzo Capasso,David Bakstein
An Introduction to Continuous Time Stochastic Processes Book PDF

Author : Vincenzo Capasso,David Bakstein
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 48,5 Mb
Release : 2008-01-03
Category : Mathematics
ISBN : 9780817644284

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An Introduction to Continuous-Time Stochastic Processes by Vincenzo Capasso,David Bakstein Pdf

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 II

Marius Iosifescu,P. Tautu
Stochastic processes and applications in biology and medicine II Book PDF

Author : Marius Iosifescu,P. Tautu
Publisher : Springer
Page : 0 pages
File Size : 50,9 Mb
Release : 2011-12-15
Category : Mathematics
ISBN : 3642807550

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Stochastic processes and applications in biology and medicine II by Marius Iosifescu,P. Tautu Pdf

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.

Biomathematics

J. C. Misra
Biomathematics Book PDF

Author : J. C. Misra
Publisher : World Scientific
Page : 525 pages
File Size : 47,7 Mb
Release : 2006
Category : Science
ISBN : 9789812774859

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Biomathematics by J. C. Misra Pdf

This book on modelling and simulation in biomathematics will be invaluable to researchers who are interested in the emerging areas of the field. Graduate students in related areas as well as lecturers will also find it beneficial. Some of the chapters have been written by distinguished experts in the field. Sample Chapter(s). Chapter 1: Detecting Mosaic Structures in DNA Sequence Alignments (1,349 KB). Contents: Detecting Mosaic Structures in DNA Sequence Alignments (D Husmeier); Application of Statistical Methodology and Model Design to Socio-Behaviour of HIV Transmission (J Oluwoye); A Stochastic Model Incorporating HIV Treatments for a Heterosexual Population: Impact on Threshold Conditions (R J Gallop et al.); Modeling and Identification of the Dynamics of the MF-Influenced Free-Radical Transformations in Lipid-Modeling Substances and Lipids (J Bentsman et al.); Computer Simulation of Self-Reorganization in Biological Cells (D Greenspan); Modelling Biological Gel Contraction by Cells: Consequences of Cell Traction Forces Distribution and Initial Stress (S Ramtani); Peristaltic Transport of Physiological Fluids (J C Misra & S K Pandey); Mathematical Modelling of DNA Knots and Links (J C Misra & S Mukherjee); Using Monodomain Computer Models for the Simulation of Electric Fields During Excitation Spread in Cardiac Tissue (G Plank); Flow in Tubes with Complicated Geometries with Special Application to Blood Flow in Large Arteries (G Jayaraman); Mathematical Modeling in Reproductive Biomedicine (S Sharma & S K Guha); Image Theory and Applications in Bioelectromagnetics (P D Einziger et al.); Dynamics of Humanoid Robots: Geometrical and Topological Duality (V G Ivancevic); The Effects of Body Composition on Energy Expenditure and Weight Dynamics During Hypophagia: A Setpoint Analysis (F P Kozusko); Mathematical Models in Population Dynamics and Ecology (R Diluo); Modelling in Bone Biomechanics (J C Misra & S Samanta). Readership: Graduate students, academic and researchers in biomathematics, mathematical biology, mathematical modeling, biotechnology, biocomputing, biophysics, bioengineering and mechanics."

Stochastic Processes and Applications in Biology and Medicine

Marius Iosifescu,Petre Tăutu
Stochastic Processes and Applications in Biology and Medicine Book PDF

Author : Marius Iosifescu,Petre Tăutu
Publisher : Unknown
Page : 348 pages
File Size : 49,8 Mb
Release : 1973
Category : Mathematics
ISBN : UCSD:31822000612895

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Stochastic Processes and Applications in Biology and Medicine by Marius Iosifescu,Petre Tăutu Pdf

Vol. 2.

Stochastic Neuron Models

Priscilla E. Greenwood,Lawrence M. Ward
Stochastic Neuron Models Book PDF

Author : Priscilla E. Greenwood,Lawrence M. Ward
Publisher : Springer
Page : 75 pages
File Size : 51,9 Mb
Release : 2016-02-02
Category : Mathematics
ISBN : 9783319269115

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Stochastic Neuron Models by Priscilla E. Greenwood,Lawrence M. Ward Pdf

This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these problems is outlined within the text, so readers can grasp the context in which they arise. This book will be useful for graduate students and instructors providing material and references for applying probability to stochastic neuron modeling. Methods and results are presented, but the emphasis is on questions where additional stochastic analysis may contribute neuroscience insight. An extensive bibliography is included. Dr. Priscilla E. Greenwood is a Professor Emerita in the Department of Mathematics at the University of British Columbia. Dr. Lawrence M. Ward is a Professor in the Department of Psychology and the Brain Research Centre at the University of British Columbia.

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Laécio Carvalho de Barros,Rodney Carlos Bassanezi,Weldon Alexander Lodwick
A First Course in Fuzzy Logic Fuzzy Dynamical Systems and Biomathematics Book PDF

Author : Laécio Carvalho de Barros,Rodney Carlos Bassanezi,Weldon Alexander Lodwick
Publisher : Springer
Page : 299 pages
File Size : 41,5 Mb
Release : 2016-09-13
Category : Technology & Engineering
ISBN : 9783662533246

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A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics by Laécio Carvalho de Barros,Rodney Carlos Bassanezi,Weldon Alexander Lodwick Pdf

This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it demonstrates how these theories are used to solve modeling problems in biomathematics, and presents existing derivatives and integrals applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented. The book has been developed on the basis of the authors’ lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics.

Stochastic Modelling for Systems Biology, Second Edition

Darren J. Wilkinson
Stochastic Modelling for Systems Biology Second Edition Book PDF

Author : Darren J. Wilkinson
Publisher : CRC Press
Page : 363 pages
File Size : 45,7 Mb
Release : 2011-11-09
Category : Mathematics
ISBN : 9781439837764

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Stochastic Modelling for Systems Biology, Second Edition by Darren J. Wilkinson Pdf

Since the first edition of Stochastic Modelling for Systems Biology, there have been many interesting developments in the use of "likelihood-free" methods of Bayesian inference for complex stochastic models. Re-written to reflect this modern perspective, this second edition covers everything necessary for a good appreciation of stochastic kinetic modelling of biological networks in the systems biology context. Keeping with the spirit of the first edition, all of the new theory is presented in a very informal and intuitive manner, keeping the text as accessible as possible to the widest possible readership. New in the Second Edition All examples have been updated to Systems Biology Markup Language Level 3 All code relating to simulation, analysis, and inference for stochastic kinetic models has been re-written and re-structured in a more modular way An ancillary website provides links, resources, errata, and up-to-date information on installation and use of the associated R package More background material on the theory of Markov processes and stochastic differential equations, providing more substance for mathematically inclined readers Discussion of some of the more advanced concepts relating to stochastic kinetic models, such as random time change representations, Kolmogorov equations, Fokker-Planck equations and the linear noise approximation Simple modelling of "extrinsic" and "intrinsic" noise An effective introduction to the area of stochastic modelling in computational systems biology, this new edition adds additional mathematical detail and computational methods that will provide a stronger foundation for the development of more advanced courses in stochastic biological modelling.

Stochastic Models in Biology

Narendra S. Goel,Nira Richter-Dyn
Stochastic Models in Biology Book PDF

Author : Narendra S. Goel,Nira Richter-Dyn
Publisher : Elsevier
Page : 282 pages
File Size : 43,9 Mb
Release : 2016-01-26
Category : Science
ISBN : 9781483278100

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Stochastic Models in Biology by Narendra S. Goel,Nira Richter-Dyn Pdf

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.

Biomathematical Problems in Optimization of Cancer Radiotherapy

A.Y. Yakovlev,L. Pavlova,L.G. Hanin
Biomathematical Problems in Optimization of Cancer Radiotherapy Book PDF

Author : A.Y. Yakovlev,L. Pavlova,L.G. Hanin
Publisher : CRC Press
Page : 146 pages
File Size : 42,7 Mb
Release : 2020-11-26
Category : Mathematics
ISBN : 9781000142396

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Biomathematical Problems in Optimization of Cancer Radiotherapy by A.Y. Yakovlev,L. Pavlova,L.G. Hanin Pdf

Biomathematical Problems in Optimization of Cancer Radiotherapy provides insight into the role of cell population heterogeneity in the optimal control of fractionated irradiation of tumors. The book emphasizes the mathematical modeling aspect of the problem and presents the state of the art in the stochastic description of irradiated cell survival. Some of the results are of general theoretical interest and can be applied to other areas of optimal control methodology. Detailed explanations of all mathematical statements are provided throughout the text. The book is excellent for biomathematicians, radiotherapists, oncologists, health physicists, and other researchers and students interested in the topic.

Stochastic Modelling of Biological Processes

Margherita Carletti
Stochastic Modelling of Biological Processes Book PDF

Author : Margherita Carletti
Publisher : LAP Lambert Academic Publishing
Page : 232 pages
File Size : 49,9 Mb
Release : 2012
Category : Electronic
ISBN : 3659000450

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Stochastic Modelling of Biological Processes by Margherita Carletti Pdf

The monograph provides a general framework of how noise and delay can arise and be incorporated in continuous biomathematical models and in discrete chemical reaction systems. The continuous models are taken from epidemiology, immunology and ecology. The delays are either discrete or distributed. The distinction between external (or environmental) and internal (or demographic) noise is pointed out. The effects of external noise on the stability of the positive equilibria are studied both theoretically and numerically. On the other hand, for discrete biochemical systems such as Genetic Regulatory Networks, the effects of intrinsic noise can be crucial in obtaining true realistic models. As applications, a model of transcription regulation and one of bacteriophage infection are studied in three possible modelling regimes (discrete stochastic, continuous stochastic and continuous deterministic) via stochastic simulation algorithms, stochastic delay and deterministic delay differential equations.

Stochastic Models for Structured Populations

Sylvie Meleard,Vincent Bansaye
Stochastic Models for Structured Populations Book PDF

Author : Sylvie Meleard,Vincent Bansaye
Publisher : Springer
Page : 107 pages
File Size : 47,8 Mb
Release : 2015-09-03
Category : Mathematics
ISBN : 9783319217116

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Stochastic Models for Structured Populations by Sylvie Meleard,Vincent Bansaye Pdf

In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Méléard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.