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I Motile Dynamics at the Cellular Level - Cytoplasmic Motion and Cell Shape -.- I.1 Embryonic Mesoderm Cells and Larval Keratocytes from Xenopus: Structure and Motility of Single Cells.- I.2 Periodicity in Shape Changes of Human Epidermal Keratinocytes.- I.3 Self-organized F-Actin Autowaves Govern Pseudopodium Projection and the Non-random Locomotion of Dictyostelium Amoebae.- I.4 Mathematical Analysis of Cell Shape.- I.5 Protrusion, Retraction and the Efficiency of Cell Locomotion.- I.6 Microscopic Image Classification Based on Descriptor Analysis.- I.7 A Dynamical Model of Cell Division.- I.8 Shape Behavior of Closed Layered Membranes and Cytokinesis.- I.9 Protrusion-Retraction Dynamics of an Annular Lamellipodial Seam.- I.10 Auto-oscillatory Processes and Feedback Mechanisms in Physarum Plasmodium Motility.- I.11 Origin of Actin-induced Locomotion of Listeria.- I.12 Models for the Formation of Oriented F-actin Structures in the Cytoskeleton.- II Dynamics of Cell Interaction with the Environment.- II.1 Cell-Substratum Interactions of Amoeba proteus: Old and New Open Questions.- II.2 Imaging Traction Stresses.- II.3 Chemotaxis and Chemokinesis of Dictyostelium Amoebae: Different Accumulation Mechanisms Induced by Temporal Signals and Spatial.- II.4 Receptor-mediated Models for Leukocyte Chemotaxis.- II.5 A Model for Cell Migration by Contact Guidance.- II.6 Derivation of a Cell Migration Transport Equation from an Underlying Random Walk Model.- II.7 A Continuum Model for the Role of Fibroblast Contact Guidance in Wound Contraction.- II.8 Wound Healing and Tumour Growth - Relations and Differences -.- III Dynamics of Cell-Cell Interactions - Collective Motion and Aggregation -.- III.1 Models for Spatio-angular Self-organization in Cell Biology.- III.2 Aggregation Induced by Diffusing and Nondiffusing Media.- III.3 Models of Dictyostelium discoideum Aggregation.- III.4 A Cellular Automata Approach to the Modelling of Cell-Cell Interactions.- IV Dynamics within Tissues - Morphogenesis and Plant Movement -.- IV.1 Morphogenetic Dynamics in Tissues: Expectations of Developmental and Cell Biologists.- IV.2 Mechanical Stresses in Animal Development: Patterns and Morphogenetical Role.- IV.3 Mechanisms for Branching Morphogenesis of the Lung.- IV.4 Tissue Stresses in Plant Organs: Their Origin and Importance for Movements.- IV.5 Self-Organization and the Formation of Patterns in Plants.- IV.6 The Mathematics of Plate Bending.- IV.7 Mechanical Forces and Signal Transduction in Growth and Bending of Plant Roots.- IV.8 Growth Field and Cell Displacement within the Root Apex.- IV.9 The Stationary State of Epithelial Tissues.- References.- Group Picture.- Addresses.
"e; . . . behavior is not, what an organism does itself, but to what we point. Therefore, whether a type of behavior of an organism is adequate as a certain configuration of movements, will depend on the environment in which we de- scribe it. "e; (Humberto Maturana, Francisco Varela: El arbol del conocimiento, 1984) "e;A thorough analysis of behavior must result in a scheme, that shows all regularities that are to be found between the sensorical input and the motorical output of an animal. This scheme is an abstract representation of the brain. "e; (Valentin Braitenberg: Gehirngespinste, 1973) During the 70ies, when Biomathematics (beyond Biomedical Statistics and Com- puting) became more popular at universities and research institutes, the problems dealt with came mainly from the general fields of 'Population Biology' and 'Complex Systems Analysis' such as epidemics, ecosystems analysis, morphogenesis, genetics, immunology and neurology (see the first series of Springer Lecture Notes in Biomathematics). Since then, the picture has not considerably changed, and it seems that "e;a thorough analysis of behavior"e; of single organisms and, moreover, of their mutual interactions, is far from being understood. On the contrary, mathematical modellers and analysts have been well- advised to restrict their investigations to specific aspects of 'biological behavior', one of which is 'biological motion'. Until now, only a few Conference Proceedings or Lecture Notes have paid attention to this important aspect, some of the earlier examples being Vol. 24: 'The measurement of biological shape and shape changes' (1978) or Vol.
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