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Combined Discrete And Continual Approaches In Biological Modelling


Combined Discrete And Continual Approaches In Biological Modelling
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Combined Discrete And Continual Approaches In Biological Modelling


Combined Discrete And Continual Approaches In Biological Modelling
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Author : Alexander E. Filippov
language : en
Publisher: Springer Nature
Release Date : 2020-06-30

Combined Discrete And Continual Approaches In Biological Modelling written by Alexander E. Filippov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-30 with Science categories.


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.



Nonlinear Hybrid Continuous Discrete Time Models


Nonlinear Hybrid Continuous Discrete Time Models
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Author : Marat Akhmet
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-03

Nonlinear Hybrid Continuous Discrete Time Models written by Marat Akhmet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.


The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.



Tribology Across Scales Theory Simulation And Experiment


Tribology Across Scales Theory Simulation And Experiment
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Author : Jasminka Starčević
language : en
Publisher: Springer Nature
Release Date : 2025-05-01

Tribology Across Scales Theory Simulation And Experiment written by Jasminka Starčević and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-01 with Science categories.


This book is dedicated to Prof. Dr. rer. nat. Valentin L. Popov, who has become an internationally recognized leading figure in the field of tribology within the past 35 years. He has collaborated with numerous scientists and researchers all over the world. His countless publications cover not only research contributions to classical tribology in mechanical engineering, but also to more modern fields such as nanotribology or biotribology. They include experimental investigations, theoretical approaches, and numerical simulations from the nanoscale to the macroscale. In tribute to the outstanding work of Prof. Popov, this book brings together advanced contributions in the field of tribology written by more than 40 distinguished scientists and researchers. MP4 File via app: download the SN More Media app for free, scan a link with play button and access MP4 File directly on your smartphone or tablet.



Models And Methods For Biological Evolution


Models And Methods For Biological Evolution
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Author : Gilles Didier
language : en
Publisher: John Wiley & Sons
Release Date : 2024-04-10

Models And Methods For Biological Evolution written by Gilles Didier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-10 with Science categories.


Biological evolution is the phenomenon concerning how species are born, are transformed or disappear over time. Its study relies on sophisticated methods that involve both mathematical modeling of the biological processes at play and the design of efficient algorithms to fit these models to genetic and morphological data. Models and Methods for Biological Evolution outlines the main methods to study evolution and provides a broad overview illustrating the variety of formal approaches used, notably including combinatorial optimization, stochastic models and statistical inference techniques. Some of the most relevant applications of these methods are detailed, concerning, for example, the study of migratory events of ancient human populations or the progression of epidemics. This book should thus be of interest to applied mathematicians interested in central problems in biology, and to biologists eager to get a deeper understanding of widely used techniques of evolutionary data analysis.



Systems Biology Modelling And Analysis


Systems Biology Modelling And Analysis
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Author : Elisabetta De Maria
language : en
Publisher: John Wiley & Sons
Release Date : 2022-12-08

Systems Biology Modelling And Analysis written by Elisabetta De Maria and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-08 with Science categories.


Systems Biology Modelling and Analysis Describes important modelling and computational methods for systems biology research to enable practitioners to select and use the most suitable technique Systems Biology Modelling and Analysis provides an overview of state-of-the-art techniques and introduces related tools and practices to formalize models and automate reasoning for systems biology. The authors present and compare the main formal methods used in systems biology for modelling biological networks, including discussion of their advantages, drawbacks, and main applications. Each chapter includes an intuitive presentation of the specific formalism, a brief history of the formalism and of its applications in systems biology, a formal description of the formalism and its variants, at least one realistic case study, some applications of formal techniques to validate and make deep analysis of models encoded with the formalism, and a discussion on the kind of biological systems for which the formalism is suited, along with concrete ideas on its possible evolution. Edited by a highly qualified expert with significant experience in the field, some of the methods and techniques covered in Systems Biology Modelling and Analysis include: Petri nets, an important tool for studying different aspects of biological systems, ranging from simple signaling pathways to metabolic networks and beyond Pathway Logic, a formal, rule-based system and interactive viewer for developing executable models of cellular processes Boolean networks, a mathematical model which has been widely used for decades in the context of biological regulation networks Answer Set Programming (ASP), which has proven to be a strong logic programming paradigm to deal with the inherent complexity of biological models For systems biologists, biochemists, bioinformaticians, molecular biologists, pharmacologists, and computer scientists, Systems Biology Modelling and Analysis is a comprehensive all-in-one resource to understand and harness the field’s current models and techniques while also preparing for their potential developments in coming years with the help of the author’s expert insight.



Modeling Methods For Medical Systems Biology


Modeling Methods For Medical Systems Biology
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Author : María Elena Álvarez-Buylla Roces
language : en
Publisher: Springer
Release Date : 2018-08-03

Modeling Methods For Medical Systems Biology written by María Elena Álvarez-Buylla Roces and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-03 with Science categories.


This book contributes to better understand how lifestyle modulations can effectively halt the emergence and progression of human diseases. The book will allow the reader to gain a better understanding of the mechanisms by which the environment interferes with the bio-molecular regulatory processes underlying the emergence and progression of complex diseases, such as cancer. Focusing on key and early cellular bio-molecular events giving rise to the emergence of degenerative chronic disease, it builds on previous experience on the development of multi-cellular organisms, to propose a mathematical and computer based framework that allows the reader to analyze the complex interplay between bio-molecular processes and the (micro)-environment from an integrative, mechanistic, quantitative and dynamical perspective. Taking the wealth of empirical evidence that exists it will show how to build and analyze models of core regulatory networks involved in the emergence and progression of chronic degenerative diseases, using a bottom-up approach.



Modeling In Systems Biology


Modeling In Systems Biology
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Author : Ina Koch
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-21

Modeling In Systems Biology written by Ina Koch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-21 with Computers categories.


The emerging, multi-disciplinary field of systems biology is devoted to the study of the relationships between various parts of a biological system, and computer modeling plays a vital role in the drive to understand the processes of life from an holistic viewpoint. Advancements in experimental technologies in biology and medicine have generated an enormous amount of biological data on the dependencies and interactions of many different molecular cell processes, fueling the development of numerous computational methods for exploring this data. The mathematical formalism of Petri net theory is able to encompass many of these techniques. This essential text/reference presents a comprehensive overview of cutting-edge research in applications of Petri nets in systems biology, with contributions from an international selection of experts. Those unfamiliar with the field are also provided with a general introduction to systems biology, the foundations of biochemistry, and the basics of Petri net theory. Further chapters address Petri net modeling techniques for building and analyzing biological models, as well as network prediction approaches, before reviewing the applications to networks of different biological classification. Topics and features: investigates the modular, qualitative modeling of regulatory networks using Petri nets, and examines an Hybrid Functional Petri net simulation case study; contains a glossary of the concepts and notation used in the book, in addition to exercises at the end of each chapter; covers the topological analysis of metabolic and regulatory networks, the analysis of models of signaling networks, and the prediction of network structure; provides a biological case study on the conversion of logical networks into Petri nets; discusses discrete modeling, stochastic modeling, fuzzy modeling, dynamic pathway modeling, genetic regulatory network modeling, and quantitative analysis techniques; includes a Foreword by Professor Jens Reich, Professor of Bioinformatics at Humboldt University and Max Delbrück Center for Molecular Medicine in Berlin. This unique guide to the modeling of biochemical systems using Petri net concepts will be of real utility to researchers and students of computational biology, systems biology, bioinformatics, computer science, and biochemistry.



Longitudinal Research With Latent Variables


Longitudinal Research With Latent Variables
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Author : Kees van Montfort
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-17

Longitudinal Research With Latent Variables written by Kees van Montfort and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Mathematics categories.


Since Charles Spearman published his seminal paper on factor analysis in 1904 and Karl Joresk ̈ og replaced the observed variables in an econometric structural equation model by latent factors in 1970, causal modelling by means of latent variables has become the standard in the social and behavioural sciences. Indeed, the central va- ables that social and behavioural theories deal with, can hardly ever be identi?ed as observed variables. Statistical modelling has to take account of measurement - rors and invalidities in the observed variables and so address the underlying latent variables. Moreover, during the past decades it has been widely agreed on that serious causal modelling should be based on longitudinal data. It is especially in the ?eld of longitudinal research and analysis, including panel research, that progress has been made in recent years. Many comprehensive panel data sets as, for example, on human development and voting behaviour have become available for analysis. The number of publications based on longitudinal data has increased immensely. Papers with causal claims based on cross-sectional data only experience rejection just for that reason.



Modelling Analysis And Design Of Hybrid Systems


Modelling Analysis And Design Of Hybrid Systems
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Author : S. Engell
language : en
Publisher: Springer
Release Date : 2003-07-01

Modelling Analysis And Design Of Hybrid Systems written by S. Engell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Technology & Engineering categories.


In 1995, the Deutsche Forschungsgemeinschaft (DFG), the largest public research funding organization in Germany, decided to launch a priority program (Schw- punktprogramm in German) calledKondisk– Dynamics and Control of Systems with Mixed Continuous and Discrete Dynamics. Such a priority program is usually sponsored for six years and supports about twenty scientists at a time, in engineering andcomputersciencemostlyyoungresearchersworkingforadoctoraldegree. There is a yearly competition across all disciplines of arts and sciences for the funding of such programs, and the group of proposers was the happy winner of a slot in that year. The program started in 1996 after an open call for proposals; the successful projects were presented and re-evaluated periodically, and new projects could be submitted simultaneously. During the course of the focused research program, 25 different projects were funded in 19 participating university institutes, some of the projects were collaborative efforts of two groups with different backgrounds, mostly one from engineering and one from computer science. There were two main motivations for establishingKondisk. The rst was the fact that technical systems nowadays are composed of physical components with (mostly) continuous dynamics and computerized control systems where the reaction to discrete events plays a major role, implemented in Programmable Logic Contr- lers (PLCs), Distributed Control Systems (DCSs) or real-time computer systems.



Analysis Of Mixed Data


Analysis Of Mixed Data
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Author : Alexander R. de Leon
language : en
Publisher: CRC Press
Release Date : 2013-01-16

Analysis Of Mixed Data written by Alexander R. de Leon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-16 with Mathematics categories.


A comprehensive source on mixed data analysis, Analysis of Mixed Data: Methods & Applications summarizes the fundamental developments in the field. Case studies are used extensively throughout the book to illustrate interesting applications from economics, medicine and health, marketing, and genetics. Carefully edited for smooth readability and