Single-Cell-Based Models in Biology and Medicine: Mathematics and Biosciences in Interaction
Editat de Alexander Anderson, Katarzyna Rejniaken Limba Engleză Mixed media product – 22 iun 2007
This volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.
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Specificații
ISBN-13: 9783764381011
ISBN-10: 3764381019
Pagini: 360
Ilustrații: IX, 349 p. With DVD.
Dimensiuni: 170 x 244 x 25 mm
Greutate: 0.97 kg
Ediția:2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Mathematics and Biosciences in Interaction
Locul publicării:Basel, Switzerland
ISBN-10: 3764381019
Pagini: 360
Ilustrații: IX, 349 p. With DVD.
Dimensiuni: 170 x 244 x 25 mm
Greutate: 0.97 kg
Ediția:2007
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Mathematics and Biosciences in Interaction
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
Hybrid Multiscale Models.- A Hybrid Multiscale Model of Solid Tumour Growth and Invasion: Evolution and the Microenvironment.- Lattice-gas Cellular Automaton Modeling of Developing Cell Systems.- Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field.- The Cellular Potts Model and Its Variants.- Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model.- The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis.- The Cellular Potts Model in Biomedicine.- The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study.- Off-lattice Cell Models.- Center-based Single-cell Models: An Approach to Multi-cellular Organization Based on a Conceptual Analogy to Colloidal Particles.- Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables.- Modeling Multicellular Structures Using the Subcellular Element Model.- Viscoelastic Cell Models.- Cell-based Models of Blood Clotting.- A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling.- Modelling the Development of Complex Tissues Using Individual Viscoelastic Cells.
Textul de pe ultima copertă
To adequately describe complex spatio-temporal processes that occur in multi-cellular organisms, a class of models is required that simultaneously takes into account differences between individual cells as well as their ability to communicate and interact with one another and their environment. Single-cell-based models form a framework that allows for the explicit incorporation of different properties of individual cells, but at the same time enables all cells to act together as one collective body. This leads ultimately to more biologically realistic models of heterogeneous tissues and multi-cellular organisms and allows for a better understanding of the principles underlying the complex biological processes occurring during the formation, growth and maintenance of multi-cellular bodies.
The aim of this book is to assemble a collection of different mathematical and computational models and techniques that focus on individual cells, cell processes and cell behaviour, that are also suitable to address problems on the multi-cellular or tissue scale. We would like to focus the level of the book equally to students starting their research in the field of mathematical biology and to scientists already modelling multi-cellular processes. Therefore, our intention is to include in this book a detailed description of each model and an extensive review of suitable biological and medical applications.
The aim of this book is to assemble a collection of different mathematical and computational models and techniques that focus on individual cells, cell processes and cell behaviour, that are also suitable to address problems on the multi-cellular or tissue scale. We would like to focus the level of the book equally to students starting their research in the field of mathematical biology and to scientists already modelling multi-cellular processes. Therefore, our intention is to include in this book a detailed description of each model and an extensive review of suitable biological and medical applications.
Caracteristici
Focuses on structural, dynamical and functional aspects of cellular systems Presents corresponding experiments and mathematical models Introduces recent model approaches with applications Includes applied issues such as tumor cell growth, blood clotting and biotechnology