The Role and Importance of Mathematics in Innovation

This book is a collection of papers presented at the "Forum Math-for-Industry 2015" for which the unifying theme was "The Role and Importance of Mathematics in Innovation", held at the Institute of Mathematics for Industry, Kyushu University, October 26-30, 2015. The theme highlights two 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 book gives excellent examples of how mathematics assists with stimulating innovation and, thereby, highlights the importance and relevance of the concept Mathematics_FOR_Industry. The contents of this volume address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.

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