This open access book presents a multidisciplinary examination of how biological shapes, structures, and dynamic patterns emerge, evolve, and persist in the natural world. Drawing on genetics, developmental biology, evolutionary theory, physics, chemistry, and mathematical modeling, the book brings together leading researchers who illuminate the fundamental principles behind the diversity of forms found in living organisms.
The chapters span a wide scientific landscape. Readers encounter discussions of symmetry breaking from physics to biology, models of collective cell behavior, and the mechanisms and evolutionary history of female-limited Batesian mimicry in Papilio butterflies. The volume also includes mathematical and computational analyses of pattern formation and population dynamics, as well as investigations into the development and evolution of butterfly wing patterns. Additional chapters examine how a single gene can determine snail coiling direction, explore morphospace approaches to evolution, and analyze the functional morphology of molluscan shells. Other contributions reveal the mechanical optimality embedded in plant structures and highlight striking spiral patterns and morphologies found in chemical systems.
Based on invited lectures delivered at the 6th Yamada Symposium in Tokyo, this book provides readers with an integrated view of pattern formation across scales and disciplines. It serves as an engaging guide for researchers, students, and anyone interested in understanding how nature generates its remarkable variety of forms.
Table of Contents:
Chapter 1. Symmetry breaking from physics to biology.- Chapter 2. Integrating mathematical modelling and experiments in the study of collective neural crest cell migration.- Chapter 3. Mechanisms and evolution of color pattern formation in female-limited Batesian mimicry of Papilio butterflies.- Chapter 4. A model for pattern formation and population dynamics of the mimetic butterfly Papilio polytes in the Sakishima Islands, Japan: Mathematical analysis and computer simulations.- Chapter 5. The development and evolution of butterfly wing patterns: Finding the primitive pattern.- Chapter 6. Snail coiling: CRISPR editing of a single gene turns righties into lefties.- Chapter 7. Morphospace Approaches to Evolution: Geometric and Developmental Considerations.- Chapter 8. Functional morphospace analysis of molluscan shells.- Chapter 9. Mechanical Optimality Hidden in the Structure of Plants.- Chapter 10. Spiral patterns and morphology in chemical systems.
About the Author :
Philip K. Maini
Professor of Mathematical Biology, Wolfson Centre for Mathematical Biology, Mathematical Institute, Oxford, UK
Hiraku Nishimori
Director of Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan
Toshio Sekimura
Professor Emeritus of Chubu University, Kasugai, Japan
Tomohiko Yamaguchi
Vice Director of Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan
