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Auteur Thomas Hillen |
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Mathematical Models and Methods for Living Systems / Pasquale Ciarletta / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2016)
Titre : Mathematical Models and Methods for Living Systems : Levico Terme, Italy 2014 Type de document : document électronique Auteurs : Pasquale Ciarletta ; Thomas Hillen ; Hans G. Othmer ; Luigi Preziosi ; Dumitru Trucu ; SpringerLink (Online service) , Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2016 Collection : Lecture Notes in Mathematics - LNM, ISSN 0075-8434 num. 2167 Importance : XI-321 p. Présentation : ill. Format : online resource ISBN/ISSN/EAN : 978-3-319-42679-2 Langues : Anglais (eng) Tags : Mathematics Applied mathematics Engineering mathematics Biomathematics Mathematical and Computational Biology Biomedicine Applications of Mathematics Résumé : The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods. Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases Note de contenu : Preface -- Cell-based, continuum and hybrid models of tissue dynamics -- The Diffusion Limit of Transport Equations in Biology -- Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix -- Mathematical modeling of morphogenesis in living materials -- Multiscale computational modelling and analysis of cancer invasion Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=124217 Mathematical Models and Methods for Living Systems : Levico Terme, Italy 2014 [document électronique] / Pasquale Ciarletta ; Thomas Hillen ; Hans G. Othmer ; Luigi Preziosi ; Dumitru Trucu ; SpringerLink (Online service) , . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2016 . - XI-321 p. : ill. ; online resource. - (Lecture Notes in Mathematics - LNM, ISSN 0075-8434; 2167) .
ISBN : 978-3-319-42679-2
Langues : Anglais (eng)
Tags : Mathematics Applied mathematics Engineering mathematics Biomathematics Mathematical and Computational Biology Biomedicine Applications of Mathematics Résumé : The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods. Modelling and simulating the mechanisms that cells use to move, self-organise and develop in tissues is not only fundamental to an understanding of embryonic development, but is also relevant in tissue engineering and in other environmental and industrial processes involving the growth and homeostasis of biological systems. Growth and organization processes are also important in many tissue degeneration and regeneration processes, such as tumour growth, tissue vascularization, heart and muscle functionality, and cardio-vascular diseases Note de contenu : Preface -- Cell-based, continuum and hybrid models of tissue dynamics -- The Diffusion Limit of Transport Equations in Biology -- Mathematical Models of the Interaction of Cells and Cell Aggregates with the Extracellular Matrix -- Mathematical modeling of morphogenesis in living materials -- Multiscale computational modelling and analysis of cancer invasion Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=124217 Non-Local Cell Adhesion Models / Andreas Buttenschön / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2021)
Titre : Non-Local Cell Adhesion Models : Symmetries and Bifurcations in 1-D Type de document : document électronique Auteurs : Andreas Buttenschön, ; Thomas Hillen, ; SpringerLink (Online service) Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2021 Collection : CMS/CAIMS Books in Mathematics, ISSN 2730-650X num. 1 Importance : VIII, 152 p. 35 illus., 15 illus. in color Présentation : online resource ISBN/ISSN/EAN : 978-3-030-67111-2 Langues : Anglais (eng) Tags : Biomathematics Mathematical models Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Résumé : This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level Note de contenu : Introduction -- Preliminaries -- The Periodic Problem -- Basic Properties -- Local Bifurcation -- Global Bifurcation -- Non-local Equations with Boundary Conditions -- No-flux Boundary Conditions -- Discussion and future directions Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=166514 Non-Local Cell Adhesion Models : Symmetries and Bifurcations in 1-D [document électronique] / Andreas Buttenschön, ; Thomas Hillen, ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2021 . - VIII, 152 p. 35 illus., 15 illus. in color : online resource. - (CMS/CAIMS Books in Mathematics, ISSN 2730-650X; 1) .
ISBN : 978-3-030-67111-2
Langues : Anglais (eng)
Tags : Biomathematics Mathematical models Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Résumé : This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level Note de contenu : Introduction -- Preliminaries -- The Periodic Problem -- Basic Properties -- Local Bifurcation -- Global Bifurcation -- Non-local Equations with Boundary Conditions -- No-flux Boundary Conditions -- Discussion and future directions Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=166514 The Dynamics of Biological Systems / Arianna Bianchi ; SpringerLink (Online service) ; Thomas Hillen ; Mark A. Lewis ; Yingfei Yi / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2019)
Titre : The Dynamics of Biological Systems Type de document : document électronique Auteurs : Arianna Bianchi, ; SpringerLink (Online service) ; Thomas Hillen, ; Mark A. Lewis, ; Yingfei Yi, Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2019 Collection : Mathematics of Planet Earth, ISSN 2524-4264 num. 4 Importance : XIV, 267 p. 63 illus., 34 illus. in color Présentation : online resource ISBN/ISSN/EAN : 978-3-030-22583-4 Langues : Anglais (eng) Tags : Mathematics Biomathematics Systems biology Biological systems Mathematics of Planet Earth Mathematical and Computational Biology Systems Biology Résumé : The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight, - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences. Note de contenu : Chapter1. Dynamical Systems in Biology - A Short Introduction -- Chapter2. Modelling of Molecular Networks -- Chapter3. Large-Scale Epidemic Models and a Graph-Theoretic Method for Constructing Lyapunov Functions -- Chapter4. Mixing in Meta-Population Models -- Chapter5. Structured Population Models for Vector-Borne Infection Dynamics -- Chapter6. Stochastic Population Kinetics and Its Underlying Mathematicothermodynamics -- Chapter7. The Turing Model for Biological Pattern Formation -- Chapter8. Persistence, Competition and Evolution -- Chapter9. Kinetic equations and cell motion: An Introduction Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=148180 The Dynamics of Biological Systems [document électronique] / Arianna Bianchi, ; SpringerLink (Online service) ; Thomas Hillen, ; Mark A. Lewis, ; Yingfei Yi, . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2019 . - XIV, 267 p. 63 illus., 34 illus. in color : online resource. - (Mathematics of Planet Earth, ISSN 2524-4264; 4) .
ISBN : 978-3-030-22583-4
Langues : Anglais (eng)
Tags : Mathematics Biomathematics Systems biology Biological systems Mathematics of Planet Earth Mathematical and Computational Biology Systems Biology Résumé : The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight, - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences. Note de contenu : Chapter1. Dynamical Systems in Biology - A Short Introduction -- Chapter2. Modelling of Molecular Networks -- Chapter3. Large-Scale Epidemic Models and a Graph-Theoretic Method for Constructing Lyapunov Functions -- Chapter4. Mixing in Meta-Population Models -- Chapter5. Structured Population Models for Vector-Borne Infection Dynamics -- Chapter6. Stochastic Population Kinetics and Its Underlying Mathematicothermodynamics -- Chapter7. The Turing Model for Biological Pattern Formation -- Chapter8. Persistence, Competition and Evolution -- Chapter9. Kinetic equations and cell motion: An Introduction Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=148180