Frontiers in Mathematical Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642501249
Total Pages : 637 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Frontiers in Mathematical Biology by : Simon A. Levin

Download or read book Frontiers in Mathematical Biology written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.

Frontiers in Mathematical Biology

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Publisher : Springer
ISBN 13 : 9783642501265
Total Pages : 633 pages
Book Rating : 4.5/5 (12 download)

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Book Synopsis Frontiers in Mathematical Biology by : Simon A. Levin

Download or read book Frontiers in Mathematical Biology written by Simon A. Levin and published by Springer. This book was released on 2012-06-05 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.

Transport Equations in Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3764378425
Total Pages : 198 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Transport Equations in Biology by : Benoît Perthame

Download or read book Transport Equations in Biology written by Benoît Perthame and published by Springer Science & Business Media. This book was released on 2006-12-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.

Frontiers in Computational and Systems Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 1849961964
Total Pages : 24 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Frontiers in Computational and Systems Biology by : Jianfeng Feng

Download or read book Frontiers in Computational and Systems Biology written by Jianfeng Feng and published by Springer Science & Business Media. This book was released on 2010-06-14 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological and biomedical studies have entered a new era over the past two decades thanks to the wide use of mathematical models and computational approaches. A booming of computational biology, which sheerly was a theoretician’s fantasy twenty years ago, has become a reality. Obsession with computational biology and theoretical approaches is evidenced in articles hailing the arrival of what are va- ously called quantitative biology, bioinformatics, theoretical biology, and systems biology. New technologies and data resources in genetics, such as the International HapMap project, enable large-scale studies, such as genome-wide association st- ies, which could potentially identify most common genetic variants as well as rare variants of the human DNA that may alter individual’s susceptibility to disease and the response to medical treatment. Meanwhile the multi-electrode recording from behaving animals makes it feasible to control the animal mental activity, which could potentially lead to the development of useful brain–machine interfaces. - bracing the sheer volume of genetic, genomic, and other type of data, an essential approach is, ?rst of all, to avoid drowning the true signal in the data. It has been witnessed that theoretical approach to biology has emerged as a powerful and st- ulating research paradigm in biological studies, which in turn leads to a new - search paradigm in mathematics, physics, and computer science and moves forward with the interplays among experimental studies and outcomes, simulation studies, and theoretical investigations.

A Course in Mathematical Biology

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Publisher : SIAM
ISBN 13 : 0898718252
Total Pages : 307 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A Course in Mathematical Biology by : Gerda de Vries

Download or read book A Course in Mathematical Biology written by Gerda de Vries and published by SIAM. This book was released on 2006-07-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Frontiers of Applied and Computational Mathematics

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Publisher : World Scientific
ISBN 13 : 9812835288
Total Pages : 275 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Frontiers of Applied and Computational Mathematics by : Denis L. Blackmore

Download or read book Frontiers of Applied and Computational Mathematics written by Denis L. Blackmore and published by World Scientific. This book was released on 2008 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM'08), held at the New Jersey Institute of Technology (NJIT), May 19?21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world's most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a ?must read? for active mathematical scientists. Included are major new contributions by a distinguished trio of plenary speakers: Frank Hoppensteadt contributes a thought-provoking paper on the evolving relationship between applied mathematics and the computer; Pranab Sen explores exciting new trends in computational biology and informatics; and Jean-Marc Vanden-Broeck describes his recent research on 3D free surface flows. There are also many innovative contributions by a prestigious group of invited mini-symposium speakers, making this an indispensable collection for professionals and graduate students in the mathematical sciences and related fields.Finally, the 75th birthday dedication to Daljit S Ahluwalia ? for his many contributions to building a world-class mathematical sciences department at NJIT ? adds to making this a one-of-a-kind volume.

Bioterrorism

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Publisher : SIAM
ISBN 13 : 0898715490
Total Pages : 247 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Bioterrorism by : H. T. Banks

Download or read book Bioterrorism written by H. T. Banks and published by SIAM. This book was released on 2003-01-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror.

Mathematical Models for Biological Pattern Formation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461301335
Total Pages : 327 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Models for Biological Pattern Formation by : Philip K. Maini

Download or read book Mathematical Models for Biological Pattern Formation written by Philip K. Maini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em phasis on "Theoretical Problems in Developmental Biology and Immunol ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro gram possible.

Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease

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Publisher : Frontiers Media SA
ISBN 13 : 2889634612
Total Pages : 278 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease by : Gennady Bocharov

Download or read book Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease written by Gennady Bocharov and published by Frontiers Media SA. This book was released on 2020-02-24 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The immune system provides the host organism with defense mechanisms against invading pathogens and tumor development and it plays an active role in tissue and organ regeneration. Deviations from the normal physiological functioning of the immune system can lead to the development of diseases with various pathologies including autoimmune diseases and cancer. Modern research in immunology is characterized by an unprecedented level of detail that has progressed towards viewing the immune system as numerous components that function together as a whole network. Currently, we are facing significant difficulties in analyzing the data being generated from high-throughput technologies for understanding immune system dynamics and functions, a problem known as the ‘curse of dimensionality’. As the mainstream research in mathematical immunology is based on low-resolution models, a fundamental question is how complex the mathematical models should be? To respond to this challenging issue, we advocate a hypothesis-driven approach to formulate and apply available mathematical modelling technologies for understanding the complexity of the immune system. Moreover, pure empirical analyses of immune system behavior and the system’s response to external perturbations can only produce a static description of the individual components of the immune system and the interactions between them. Shifting our view of the immune system from a static schematic perception to a dynamic multi-level system is a daunting task. It requires the development of appropriate mathematical methodologies for the holistic and quantitative analysis of multi-level molecular and cellular networks. Their coordinated behavior is dynamically controlled via distributed feedback and feedforward mechanisms which altogether orchestrate immune system functions. The molecular regulatory loops inherent to the immune system that mediate cellular behaviors, e.g. exhaustion, suppression, activation and tuning, can be analyzed using mathematical categories such as multi-stability, switches, ultra-sensitivity, distributed system, graph dynamics, or hierarchical control. GB is supported by the Russian Science Foundation (grant 18-11-00171). AM is also supported by grants from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R, the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370) and the Russian Science Foundation (grant 18-11-00171).

Frontiers And Prospects Of Contemporary Applied Mathematics

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Publisher : World Scientific
ISBN 13 : 9814478512
Total Pages : 276 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Frontiers And Prospects Of Contemporary Applied Mathematics by : Pingwen Zhang

Download or read book Frontiers And Prospects Of Contemporary Applied Mathematics written by Pingwen Zhang and published by World Scientific. This book was released on 2006-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.

Frontiers in Mathematical Modelling Research

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Publisher :
ISBN 13 : 9781685074302
Total Pages : pages
Book Rating : 4.0/5 (743 download)

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Book Synopsis Frontiers in Mathematical Modelling Research by : M. Haider Ali Biswas

Download or read book Frontiers in Mathematical Modelling Research written by M. Haider Ali Biswas and published by . This book was released on 2022-04-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling is the process of trying to precisely define a nonmathematical situation, real-life phenomena of changing world and the relationships between the situations in the language of mathematics, and finding out mathematical formulations or patterns within these situations and phenomena. Mathematical modeling in terms of nonlinear dynamic equations is described as a conversion activity of real problems in a mathematical form. The interactions between the mathematical and biological sciences have been increasing rapidly in recent years. Both traditional topics, such as population and disease modeling, and new ones, such as those in genomics arising from the accumulation of DNA sequence data, have made mathematical modeling in biomathematics an exciting field. The best predictions of numerous individuals and scientific communities have suggested that this growing area will continue to be one of the most dominating and fascinating driving factors to capture the global change phenomena and design a sustainable management for a better world. Frontiers in Mathematical Modelling Research provides the most recent and up-to-date developments in the mathematical analysis of real world problems arising in engineering, biology, economics, geography, planning, sociology, psychology, medicine and epidemiology of infectious diseases. Mathematical modeling and analysis are important, not only to understand disease progression, but also to provide predictions about the evolution of the disease and insights about the dynamics of the transmission rate and the effectiveness of control measures. One of the main focuses of the book is the transmission dynamics of emerging and re-emerging infectious diseases and the implementation of intervention strategies. It also discusses optimal control strategies like pharmaceutical and non-pharmaceutical interventions and their potential effectiveness on the control of infections with the help of compartmental mathematical models in epidemiology. This book also covers a wide variety of topics like dynamic models in robotics, chemical process, biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of diagnosis rate effects and prediction of zoonotic viruses, data-driven dynamic simulation and scenario analysis of the spread of diseases. Frontiers in Mathematical Modelling Research will play a pivotal role as helpful resource for mathematical biologists and ecologists, epidemiologists, epidemic modelers, virologists, researchers, mathematical modelers, robotic scientists and control engineers and others engaged in the analysis of the transmission, prevention, and control of infectious diseases and their impact on human health. It is expected that this self-contained edited book can also serve undergraduate and graduate students, young scholars and early career researchers as the basis for meaningful directives of current trends of research in mathematical biology.

Mathematical Ecology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642698883
Total Pages : 455 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Mathematical Ecology by : Thomas G. Hallam

Download or read book Mathematical Ecology written by Thomas G. Hallam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: There isprobably no more appropriate location to hold a course on mathematical ecology than Italy, the countryofVito Volterra, a founding father ofthe subject. The Trieste 1982Autumn Course on Mathematical Ecology consisted of four weeksofvery concentrated scholasticism and aestheticism. The first weeks were devoted to fundamentals and principles ofmathematicalecology. A nucleusofthe material from the lectures presented during this period constitutes this book. The final week and a half of the Course was apportioned to the Trieste Research Conference on Mathematical Ecology whose proceedings have been published as Volume 54, Lecture Notes in Biomathematics, Springer-Verlag. The objectivesofthe first portionofthe course wereambitious and, probably, unattainable. Basic principles of the areas of physiological, population, com munitY, and ecosystem ecology that have solid ecological and mathematical foundations were to be presented. Classical terminology was to be introduced, important fundamental topics were to be developed, some past and some current problems of interest were to be presented, and directions for possible research were to be provided. Due to time constraints, the coverage could not be encyclopedic;many areas covered already have merited treatises of book length. Consequently, preliminary foundation material was covered in some detail, but subject overviewsand area syntheseswerepresented when research frontiers were being discussed. These lecture notes reflect this course philosophy.

Mathematical Models in Biology

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Publisher : SIAM
ISBN 13 : 9780898719147
Total Pages : 629 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Mathematical Models in Biology by : Leah Edelstein-Keshet

Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Mathematical and Computational Oncology

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Publisher : Springer Nature
ISBN 13 : 3030912418
Total Pages : 91 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mathematical and Computational Oncology by : George Bebis

Download or read book Mathematical and Computational Oncology written by George Bebis and published by Springer Nature. This book was released on 2021-12-11 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Symposium on Mathematical and Computational Oncology, ISMCO 2021, held in October 2021. Due to COVID-19 pandemic the conference was held virtually. The 3 full papers and 4 short papers presented were carefully reviewed and selected from 20 submissions. The papers are organized in topical sections named: statistical and machine learning methods for cancer research; mathematical modeling for cancer research; spatio-temporal tumor modeling and simulation; general cancer computational biology; mathematical modeling for cancer research; computational methods for anticancer drug development.

New Frontiers of Multidisciplinary Research in Steam-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health)

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Publisher :
ISBN 13 : 9783319077567
Total Pages : 412 pages
Book Rating : 4.0/5 (775 download)

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Book Synopsis New Frontiers of Multidisciplinary Research in Steam-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) by : Bourama Toni

Download or read book New Frontiers of Multidisciplinary Research in Steam-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) written by Bourama Toni and published by . This book was released on 2014-10-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models for Biological Pattern Formation

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Publisher : Springer
ISBN 13 : 9781461301349
Total Pages : 327 pages
Book Rating : 4.3/5 (13 download)

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Book Synopsis Mathematical Models for Biological Pattern Formation by : Philip Maini

Download or read book Mathematical Models for Biological Pattern Formation written by Philip Maini and published by Springer. This book was released on 2011-11-03 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 121st IMA volume, entitled MATHEMATICAL MODELS FOR BIOLOGICAL PATTERN FORMATION is the first of a new series called FRONTIERS IN APPLICATION OF MATHEMATICS. The FRONTIERS volumes are motivated by IMA pro grams and workshops, but are specially planned and written to provide an entree to and assessment of exciting new areas for the application of mathematical tools and analysis. The emphasis in FRONTIERS volumes is on surveys, exposition and outlook, to attract more mathematicians and other scientists to the study of these areas and to focus efforts on the most important issues, rather than papers on the most recent research results aimed at an audience of specialists. The present volume of peer-reviewed papers grew out of the 1998-99 IMA program on "Mathematics in Biology," in particular the Fall 1998 em phasis on "Theoretical Problems in Developmental Biology and Immunol ogy." During that period there were two workshops on Pattern Formation and Morphogenesis, organized by Professors Murray, Maini and Othmer. James Murray was one of the principal organizers for the entire year pro gram. I am very grateful to James Murray for providing an introduction, and to Philip Maini and Hans Othmer for their excellent work in planning and preparing this first FRONTIERS volume. I also take this opportunity to thank the National Science Foundation, whose financial support of the IMA made the Mathematics in Biology pro gram possible.

Data Assimilation and Control: Theory and Applications in Life Sciences

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Publisher : Frontiers Media SA
ISBN 13 : 2889459853
Total Pages : 116 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Data Assimilation and Control: Theory and Applications in Life Sciences by : Axel Hutt

Download or read book Data Assimilation and Control: Theory and Applications in Life Sciences written by Axel Hutt and published by Frontiers Media SA. This book was released on 2019-08-16 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The understanding of complex systems is a key element to predict and control the system’s dynamics. To gain deeper insights into the underlying actions of complex systems today, more and more data of diverse types are analyzed that mirror the systems dynamics, whereas system models are still hard to derive. Data assimilation merges both data and model to an optimal description of complex systems’ dynamics. The present eBook brings together both recent theoretical work in data assimilation and control and demonstrates applications in diverse research fields.