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Understanding the dynamics of cell and tissue motion forms an essential step in understanding the dynamics of life and biological self-organization. Biological motion is one of the most obvious expressions of self-organization, as it requires autonomous creation and regulated action of forces leading to shape formation and translocation of cells and tissues. The topics of the book include intracellular motility and cytoplasma dynamics (e.g. cell division), single cell movement in varying extracellular media (e.g. chemotaxis or contact guidance), cell aggregation and cooperative motion (e.g. cellular swarms or slugs) and, finally, cell-cell interactions in developing tissues (e.g. embryogenesis or plant movement). The dynamics underlying biological motion are explained, on the one hand, by various methods of image processing and correlation analysis, and on the other hand by using physico-chemical theories, developing corresponding mathematical models and performing continuum field or stochastic simulations. Thus, the study is of an interdisciplinary character typically found in theoretical and mathematical biology. Its presentation is intended to reach a broad audience â€" from theoretically interested bioscientists, physicians and biophysicists to applied mathematicians interested in the application of nonlinear dynamical systems and simulation algorithms. The most important feature of the book is that it considers possible synergetic mechanisms of interaction and cooperation on different microscopic levels: on the molecular level of cytoskeletal polymers, membrane proteins and extracellular matrix filaments, as well as on the level of cells and cellular tissues. New results concern the aspects of filament or cell alignment, various modes of force transduction and the formation of global stress fields. The latter aspect of mechanical cell-cell communication is emphasized in order to complement the much more well-studied phenomena of chemical, genetical or electrophysical communication.




Understanding the dynamics of cell and tissue motion forms an essential step in understanding the dynamics of life and biological self-organization. Biological motion is one of the most obvious expressions of self-organization, as it requires autonomous creation and regulated action of forces leading to shape formation and translocation of cells and tissues. The topics of the book include intracellular motility and cytoplasma dynamics (e.g. cell division), single cell movement in varying extracellular media (e.g. chemotaxis or contact guidance), cell aggregation and cooperative motion (e.g. cellular swarms or slugs) and, finally, cell-cell interactions in developing tissues (e.g. embryogenesis or plant movement). The dynamics underlying biological motion are explained, on the one hand, by various methods of image processing and correlation analysis, and on the other hand by using physico-chemical theories, developing corresponding mathematical models and performing continuum field or stochastic simulations. Thus, the study is of an interdisciplinary character typically found in theoretical and mathematical biology. Its presentation is intended to reach a broad audience ?€" from theoretically interested bioscientists, physicians and biophysicists to applied mathematicians interested in the application of nonlinear dynamical systems and simulation algorithms. The most important feature of the book is that it considers possible synergetic mechanisms of interaction and cooperation on different microscopic levels: on the molecular level of cytoskeletal polymers, membrane proteins and extracellular matrix filaments, as well as on the level of cells and cellular tissues. New results concern the aspects of filament or cell alignment, various modes of force transduction and the formation of global stress fields. The latter aspect of mechanical cell-cell communication is emphasized in order to complement the much more well-studied phenomena of chemical, genetical or electrophysical communication.




Understanding the dynamics of cell and tissue motion forms an essential step in understanding the dynamics of life and biological self-organization. Biological motion is one of the most obvious expressions of self-organization, as it requires autonomous creation and regulated action of forces leading to shape formation and translocation of cells and tissues. The topics of the book include intracellular motility and cytoplasma dynamics (e.g. cell division), single cell movement in varying extracellular media (e.g. chemotaxis or contact guidance), cell aggregation and cooperative motion (e.g. cellular swarms or slugs) and, finally, cell-cell interactions in developing tissues (e.g. embryogenesis or plant movement). The dynamics underlying biological motion are explained, on the one hand, by various methods of image processing and correlation analysis, and on the other hand by using physico-chemical theories, developing corresponding mathematical models and performing continuum field or stochastic simulations. Thus, the study is of an interdisciplinary character typically found in theoretical and mathematical biology. Its presentation is intended to reach a broad audience ?€" from theoretically interested bioscientists, physicians and biophysicists to applied mathematicians interested in the application of nonlinear dynamical systems and simulation algorithms. The most important feature of the book is that it considers possible synergetic mechanisms of interaction and cooperation on different microscopic levels: on the molecular level of cytoskeletal polymers, membrane proteins and extracellular matrix filaments, as well as on the level of cells and cellular tissues. New results concern the aspects of filament or cell alignment, various modes of force transduction and the formation of global stress fields. The latter aspect of mechanical cell-cell communication is emphasized in order to complement the much more well-studied phenomena of chemical, genetical or electrophysical communication.


Content:
Front Matter....Pages i-xvi
Front Matter....Pages 1-6
Embryonic Mesoderm Cells and Larval Keratocytes from Xenopus: Structure and Motility of Single Cells....Pages 7-14
Periodicity in Shape Changes of Human Epidermal Keratinocytes....Pages 15-20
Self-organized F-actin Autowaves Govern Pseudopodium Projection and the Non-random Locomotion of Dictyostelium Amoebae....Pages 21-28
Mathematical Analysis of Cell Shape....Pages 29-32
Protrusion, Retraction and the Efficiency of Cell Locomotion....Pages 33-46
Microscopic Image Classification Based on Descriptor Analysis....Pages 47-54
A Dynamical Model of Cell Division....Pages 55-65
Shape Behavior of Closed Layered Membranes and Cytokinesis....Pages 67-71
Protrusion-Retraction Dynamics of an Annular Lamellipodial Seam....Pages 73-81
Auto-oscillatory Processes and Feedback Mechanisms in Physarum Plasmodium Motility....Pages 83-92
Models for the Formation of Oriented F-actin Structures in the Cytoskeleton....Pages 93-99
Back Matter....Pages 101-109
Front Matter....Pages 111-112
Cell-Substratum Interactions of Amoeba proteus: Old and New Open Questions....Pages 113-116
Imaging Traction Stresses....Pages 117-122
Chemotaxis and Chemokinesis of Dictyostelium Amoebae: Different Accumulation Mechanisms Induced by Temporal Signals and Spatial Gradients of Cyclic AMP....Pages 123-132
Receptor-mediated Models for Leukocyte Chemotaxis....Pages 133-139
A Model for Cell Migration by Contact Guidance....Pages 141-147
Derivation of a Cell Migration Transport Equation from an Underlying Random Walk Model....Pages 149-155
A Continuum Model for the Role of Fibroblast Contact Guidance in Wound Contraction....Pages 157-158
Wound Healing and Tumour Growth — Relations and Differences —....Pages 159-164
Back Matter....Pages 165-166
Front Matter....Pages 167-168
Models for Spatio-angular Self-organization in Cell Biology....Pages 169-172
Aggregation Induced by Diffusing and Nondiffusing Media....Pages 173-182
Models of Dictyostelium discoideum Aggregation....Pages 183-192
A Cellular Automata Approach to the Modelling of Cell-Cell Interactions....Pages 193-202
Back Matter....Pages 203-208
Front Matter....Pages 209-210
Morphogenetic Dynamics in Tissues: Expectations of Developmental and Cell Biologists....Pages 211-214
Mechanical Stresses in Animal Development: Patterns and Morphogenetical Role....Pages 215-219
Mechanisms for Branching Morphogenesis of the Lung....Pages 221-228
Tissue Stresses in Plant Organs: Their Origin and Importance for Movements....Pages 229-234
Self-organization and the Formation of Patterns in Plants....Pages 235-242
The Mathematics of Plate Bending....Pages 243-249
Mechanical Forces and Signal Transduction in Growth and Bending of Plant Roots....Pages 251-253
Growth Field and Cell Displacement within the Root Apex....Pages 255-265
The Stationary State of Epithelial Tissues....Pages 267-274
Back Matter....Pages 275-282
Back Matter....Pages 283-284
....Pages 285-336
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