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Nonautonomous Dynamical Systems in the Life Sciences
Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.
Nonlinear Mode Decomposition
This work introduces a new method for analysing measured signals: nonlinear mode decomposition, or NMD. It justifies NMD mathematically, demonstrates it in several applications and explains in detail how to use it in practice. Scientists often need to be able to analyse time series data that include a complex combination of oscillatory modes of differing origin, usually contaminated by random fluctuations or noise. Furthermore, the basic oscillation frequencies of the modes may vary in time; for example, human blood flow manifests at least six characteristic frequencies, all of which wander in time. NMD allows us to separate these components from each other and from the noise, with immediate potential applications in diagnosis and prognosis. Mat Lab codes for rapid implementation are available from the author. NMD will most likely come to be used in a broad range of applications.
Tackling the Inverse Problem for Non-Autonomous Systems
This thesis presents a new method for following evolving interactions between coupled oscillatory systems of the kind that abound in nature. Examples range from the subcellular level, to ecosystems, through climate dynamics, to the movements of planets and stars. Such systems mutually interact, adjusting their internal clocks, and may correspondingly move between synchronized and non-synchronized states. The thesis describes a way of using Bayesian inference to exploit the presence of random fluctuations, thus analyzing these processes in unprecedented detail. It first develops the basic theory of interacting oscillators whose frequencies are non-constant, and then applies it to the human heart and lungs as an example. Their coupling function can be used to follow with great precision the transitions into and out of synchronization. The method described has the potential to illuminate the ageing process as well as to improve diagnostics in cardiology, anesthesiology and neuroscience, and yields insights into a wide diversity of natural processes.
Detroit
Detroit: The Dream Is Now is a visual essay on the rebuilding and resurgence of the city of Detroit by photographer Michel Arnaud, co-author of Design Brooklyn. In recent years, much of the focus on Detroit has been on the negative stories and images of shuttered, empty buildings—the emblems of Detroit’s financial and physical decline. In contrast, Arnaud aims his lens at the emergent creative enterprises and new developments taking hold in the still-vibrant city. The book explores Detroit’s rich industrial and artistic past while giving voice to the dynamic communities that will make up its future. The first section provides a visual tour of the city’s architecture and neighborhoods, while the remaining chapters focus on the developing design, art, and food scenes through interviews and portraits of the city’s entrepreneurs, artists, and makers. Detroit is the story of an American city in flux, documented in Arnaud’s thought-provoking photographs.
Dynamic Strategic Thinking for Improved Competitiveness and Performance
Competition in today’s global economy has become more complex due to the adoption of digitization and advanced methods of performance. Firms are compelled to adapt to new challenges that are altering the economic scope while maintaining a competitive edge. Empirical research is needed that highlights innovative and dynamic strategies that will allow corporations to maintain a level of sustainability and remain competitive in the global market. Dynamic Strategic Thinking for Improved Competitiveness and Performance provides emerging research exploring the innovative methods organizations have implemented in order to improve their overall effectiveness. This book analyzes novel strategies companies are using to adjust and respond to modern challenges including globalization and digitization. Featuring coverage on a broad range of topics such as digital business, social media, and human capital, this book is ideally designed for researchers, policymakers, managers, practitioners, executives, government officials, students, and academicians seeking research on modern strategic performance methods for improving corporate sustainability and competitiveness.
Ideas for Action 2019
Ideas for Action is a youth competition on initiatives to implement the Sustainable Development Goals launched in November 2014 by the World Bank Group and the Zicklin Center for Business Ethics Research at the Wharton School of the University of Pennsylvania. The 2019 winners (3 top teams, 4 runners-up, and 11 honorable mentions) were selected from more than 3,000 proposals submitted by more than 21,000 team members from 142 countries. This year witnessed an unparalleled level of growing recognition with a 50 percent increase in proposals over 2018. The winning proposals were selected through a rigorous selection process that judged the projects on depth and clarity, significance of impact,...
