Combined Discrete and Continual Approaches in Biological Modelling

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Release : 2020-06-30
Genre : Science
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Book Rating : 287/5 ( reviews)

Combined Discrete and Continual Approaches in Biological Modelling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Combined Discrete and Continual Approaches in Biological Modelling write by Alexander E. Filippov. This book was released on 2020-06-30. Combined Discrete and Continual Approaches in Biological Modelling available in PDF, EPUB and Kindle. Basic laws of nature are rather simple, but observed biological structures and their dynamic behaviors are unbelievably complicated. This book is devoted to a study of this “strange” relationship by applying mathematical modeling to various structures and phenomena in biology, such as surface patterns, bioadhesion, locomotion, predator-prey behavior, seed dispersal, etc. and revealing a kind of self-organization in these phenomena. In spite of diversity of biological systems considered, two main questions are (1) what does self-organization in biology mean mathematically and (2) how one can apply this knowledge to generate new knowledge about behavior of particular biological system? We believe that this kind of “biomimetics” in computer will lead to better understanding of biological phenomena and possibly towards development of technical implications based on our modeling.

Continuous Time Modeling in the Behavioral and Related Sciences

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Release : 2018-10-11
Genre : Medical
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Book Rating : 198/5 ( reviews)

Continuous Time Modeling in the Behavioral and Related Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuous Time Modeling in the Behavioral and Related Sciences write by Kees van Montfort. This book was released on 2018-10-11. Continuous Time Modeling in the Behavioral and Related Sciences available in PDF, EPUB and Kindle. This unique book provides an overview of continuous time modeling in the behavioral and related sciences. It argues that the use of discrete time models for processes that are in fact evolving in continuous time produces problems that make their application in practice highly questionable. One main issue is the dependence of discrete time parameter estimates on the chosen time interval, which leads to incomparability of results across different observation intervals. Continuous time modeling by means of differential equations offers a powerful approach for studying dynamic phenomena, yet the use of this approach in the behavioral and related sciences such as psychology, sociology, economics and medicine, is still rare. This is unfortunate, because in these fields often only a few discrete time (sampled) observations are available for analysis (e.g., daily, weekly, yearly, etc.). However, as emphasized by Rex Bergstrom, the pioneer of continuous-time modeling in econometrics, neither human beings nor the economy cease to exist in between observations. In 16 chapters, the book addresses a vast range of topics in continuous time modeling, from approaches that closely mimic traditional linear discrete time models to highly nonlinear state space modeling techniques. Each chapter describes the type of research questions and data that the approach is most suitable for, provides detailed statistical explanations of the models, and includes one or more applied examples. To allow readers to implement the various techniques directly, accompanying computer code is made available online. The book is intended as a reference work for students and scientists working with longitudinal data who have a Master's- or early PhD-level knowledge of statistics.

Discrete and Topological Models in Molecular Biology

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Release : 2013-12-23
Genre : Computers
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Book Rating : 937/5 ( reviews)

Discrete and Topological Models in Molecular Biology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete and Topological Models in Molecular Biology write by Nataša Jonoska. This book was released on 2013-12-23. Discrete and Topological Models in Molecular Biology available in PDF, EPUB and Kindle. 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.

Continuous Time Modeling in the Behavioral and Related Sciences

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Release : 2018
Genre : Differential equations
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Book Rating : 202/5 ( reviews)

Continuous Time Modeling in the Behavioral and Related Sciences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuous Time Modeling in the Behavioral and Related Sciences write by Kees van Montfort. This book was released on 2018. Continuous Time Modeling in the Behavioral and Related Sciences available in PDF, EPUB and Kindle. This unique book provides an overview of continuous time modeling in the behavioral and related sciences. It argues that the use of discrete time models for processes that are in fact evolving in continuous time produces problems that make their application in practice highly questionable. One main issue is the dependence of discrete time parameter estimates on the chosen time interval, which leads to incomparability of results across different observation intervals. Continuous time modeling by means of differential equations offers a powerful approach for studying dynamic phenomena, yet the use of this approach in the behavioral and related sciences such as psychology, sociology, economics and medicine, is still rare. This is unfortunate, because in these fields often only a few discrete time (sampled) observations are available for analysis (e.g., daily, weekly, yearly, etc.). However, as emphasized by Rex Bergstrom, the pioneer of continuous-time modeling in econometrics, neither human beings nor the economy cease to exist in between observations. In 16 chapters, the book addresses a vast range of topics in continuous time modeling, from approaches that closely mimic traditional linear discrete time models to highly nonlinear state space modeling techniques. Each chapter describes the type of research questions and data that the approach is most suitable for, provides detailed statistical explanations of the models, and includes one or more applied examples. To allow readers to implement the various techniques directly, accompanying computer code is made available online. The book is intended as a reference work for students and scientists working with longitudinal data who have a Master's- or early PhD-level knowledge of statistics.--

Transactions on Computational Systems Biology I

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Release : 2005-03-30
Genre : Computers
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Book Rating : 226/5 ( reviews)

Transactions on Computational Systems Biology I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transactions on Computational Systems Biology I write by Corrado Priami. This book was released on 2005-03-30. Transactions on Computational Systems Biology I available in PDF, EPUB and Kindle. The LNCS journal Transactions on Computational Systems Biology is devoted to inter- and multidisciplinary research in the fields of computer science and life sciences and supports a paradigmatic shift in the techniques from computer and information science to cope with the new challenges arising from the systems oriented point of view of biological phenomena. This first volume of the Transactions on Computational Systems Biology is made up of papers by members of the journal's Editorial Board to provide a representative and smart start-up to the new journal.