Ebook: Single-Cell-Based Models in Biology and Medicine
- Tags: Mathematical Biology in General
- Series: Mathematics and Biosciences in Interaction
- Year: 2007
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
A Hybrid Multiscale Model of Solid Tumour Growth and Invasion: Evolution and the Microenvironment....Pages 3-28
Lattice-gas Cellular Automaton Modeling of Developing Cell Systems....Pages 29-51
Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field....Pages 53-76
Front Matter....Pages 77-77
Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model....Pages 79-106
The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis....Pages 107-136
The Cellular Potts Model in Biomedicine....Pages 137-150
The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study....Pages 151-167
Front Matter....Pages 169-169
Center-based Single-cell Models: An Approach to Multi-cellular Organization Based on a Conceptual Analogy to Colloidal Particles....Pages 171-196
Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables....Pages 197-219
Modeling Multicellular Structures Using the Subcellular Element Model....Pages 221-239
Front Matter....Pages 241-241
Cell-based Models of Blood Clotting....Pages 243-269
A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling....Pages 271-299
Modelling the Development of Complex Tissues Using Individual Viscoelastic Cells....Pages 301-323
Back Matter....Pages 325-349
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.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
A Hybrid Multiscale Model of Solid Tumour Growth and Invasion: Evolution and the Microenvironment....Pages 3-28
Lattice-gas Cellular Automaton Modeling of Developing Cell Systems....Pages 29-51
Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field....Pages 53-76
Front Matter....Pages 77-77
Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model....Pages 79-106
The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis....Pages 107-136
The Cellular Potts Model in Biomedicine....Pages 137-150
The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study....Pages 151-167
Front Matter....Pages 169-169
Center-based Single-cell Models: An Approach to Multi-cellular Organization Based on a Conceptual Analogy to Colloidal Particles....Pages 171-196
Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables....Pages 197-219
Modeling Multicellular Structures Using the Subcellular Element Model....Pages 221-239
Front Matter....Pages 241-241
Cell-based Models of Blood Clotting....Pages 243-269
A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling....Pages 271-299
Modelling the Development of Complex Tissues Using Individual Viscoelastic Cells....Pages 301-323
Back Matter....Pages 325-349
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