Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models

Front Matter....Pages II-XX
Front Matter....Pages 1-1
Pattern Forming Reactions and the Generation of Primary Embryonic Axes....Pages 3-19
Spatial Pattern Formation and Morphogenesis in Development: Recent Progress for Two Model Systems....Pages 21-32
Alan Turing and “The Chemical Basis of Morphogenesis”....Pages 33-44
On the Stochastic Geometry of Growth....Pages 45-57
The Moving Grid Finite Element Method Applied to Biological Problems....Pages 59-65
Front Matter....Pages 67-67
Regulation of Pattern Formation by the Interaction between Growth Factors and Proteoglycans....Pages 69-82
Changing Roles of Homeotic Gene Functions in Arthropod Limb Development....Pages 83-96
Variation, Adaptation and Developmental Constraints in the Mimetic Butterfly Papilio dardanus ....Pages 97-108
Formation of New Organizing Regions by Cooperation of hedgehog , wingless , and dpp in Regeneration of the Insect Leg; a Verification of the Boundary Model....Pages 109-118
The Heterotopic Shift in Developmental Patterns and Evolution of the Jaw in Vertebrates....Pages 119-125
Front Matter....Pages 127-127
The Development of Cell Pattern in the Arabidopsis Root Epidermis....Pages 129-137
Pattern Formation during Dicotyledonous Plant Embryogenesis....Pages 139-152
Regulation of Inflorescence Architecture and Organ Shape by the ERECTA Gene in Arabidopsis....Pages 153-164
Axis-dependent Regulation of Lateral Organ Development in Plants....Pages 165-176
Formation of a Symmetric Flat Leaf Lamina in Arabidopsis....Pages 177-187
Front Matter....Pages 189-189
Pattern Formation by Cell Movement in Closely-Packed Tissues....Pages 191-202
Positioning of Cells at their Intrinsic Sites in Multicellular Organisms....Pages 203-212
Front Matter....Pages 213-213
Biological Invasion into Periodically Fragmented Environments: A Diffusion-Reaction Model....Pages 215-222
Spatial Pattern Formation in Plant Communities....Pages 223-235
The Mode of Competition and Spatial Pattern Formation in Plant Communities....Pages 237-246
Front Matter....Pages 213-213
Formation of a Structure of Exponentially Forking Branches with a Steady-state Amount of Current-year Shoots in a Hardwood Tree Crown....Pages 247-256
Front Matter....Pages 257-257
Patterns in Epidemiology of Sexually Transmitted Diseases in Human Populations....Pages 259-269
Backward Bifurcation in a Model for Vector Transmitted Disease....Pages 271-279
Front Matter....Pages 281-281
Mathematical Modelling of Solid Tumour Growth: Applications of Pre-pattern Formation....Pages 283-293
The Formation of Branching Systems in Human Organs....Pages 295-305
Computer Simulation on Morphogenesis of Colonic Neoplasia....Pages 307-313
The Effects of Cell Adhesion on Solid Tumour Geometry....Pages 315-325
Front Matter....Pages 327-327
Pattern Formation and Function in Palaeobiology....Pages 329-343
Why do Univalve Shells of Gastropods Coil so Tightly? A Head-Foot Guidance Model of Shell Growth and its Implication on Developmental Constraints....Pages 345-354
Computer Modeling of Microscopic Features of Molluscan Shells....Pages 355-367
How Anomalocaris Swam in the Cambrian Sea; A Theoretical Study Based on Hydrodynamics....Pages 369-377
Morphology and Function of Cuticular Terraces in Stomatopoda (Crustacea) and Mantodea (Insecta)....Pages 379-389
Back Matter....Pages 391-398