This book collects the papers presented at the Kyushu University in Fukuoka in October 2015. On this occasion, the unifying theme was "The role and importance of mathematics in innovation". Innovation is in fact the cornerstone of creativity in all human endeavors. It involves "seeing" things from an entirely new, sometimes quite elementary, perspective. Innovation in mathematics is the bread and butter of mathematical creativity. Equally important is the innovation in the performance of mathematics which can be disarmingly simple but have profound consequences. The book illustrates two different key roles that mathematics plays in supporting innovation in science, technology, and daily life, namely, needs-based and idea-based. For the former, mathematics assists with sorting through the possibilities and putting matters on a more rigorous foundation and for the latter, mathematical models of the possible implementations play a key role. The contents of this volume report on productive and successful interaction between industry and mathematicians, as well as on the cross-fertilization and collaboration that occurred. The book contains excellent examples of the roles of mathematics in innovation and, thereby, the importance and relevance of the concept "Mathematics for Industry".
Preface.- Human Choice and Good Choice.- On 3D Scanning Technologies for Respiratory Mask Design.- Mathematical Modeling for Break Down of Dynamical Equilibrium in Bone Metabolism.- Why Do Hives Die? Using Mathematics to Solve the Problem of Honey Bee Colony Collapse..- Zeta Function Associated with the Representation of the Braid Group.- Fast, Scalable, and Energy-efficient Parallel Breadth-first Search.- Basic Research for the Patient-specific Surgery Support System - an Identification Algorithm of the Mesentery Using 3D Medical Images-.- Using Process Algebra to Design Better Protocols.- Relational Hash.- Cryptography and Financial Industry.- Relaxation of an Energy Model for the Triangle-to-centered Rectangle Transformation.- Capillary Surfaces Modeling Liquid Drops on Wetting Phenomena.- Deformable Human Body Modeling from 3D Medical Image Scans.- The Mathematics Describing Two-Phase Geothermal Fluid Flows: Quantifying Industrial Applications and Innovations.- Leveraging Progressin Analytical Groundwater Infiltration for New Solutions in Industrial Metal Solidification
Yasuhide Fukumoto (IMI, Kyushu University, Fukuoka, Japan) Bob Anderssen (CSIRO, Canberra, Australia) Philip Broadbridge (La Trobe University, Melbourne, Australia) Konrad Polthier (Freie Universität Berlin, Germany) Naoyuki Kamiyama (IMI, Kyushu University, Fukuoka, Japan) Yoshihiro Mizoguchi (IMI, Kyushu University, Fukuoka, Japan) Osamu Saeki (IMI, Kyushu University, Fukuoka, Japan)
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