Advanced Mathematical Methods: Theory and Applications

Mathematical Programs with Complementarity Constraints: Theory, Methods, and Applications

Advanced mathematical methods for biology

2 The Floquet theory of the aktion potential 3 2.1 Periodic event . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Tonic spikes are limit cycles . . . . . . . . . . . . . . . . . . . . . 3 2.3 Limit cycle stability . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3.1 Eigensystem of the Floquet matrix . . . . . . . . . . . . . 6 2.4 Neutral dimension and phase shifts . . . . ...

Mathematical Methods and Applications in Medical Imaging

1 Department of Engineering Physics, Tsinghua University, Beijing 100084, China 2Medical Physics Program, GeorgeW.Woodruff School, Georgia Institute of Technology, 770 State Street, Atlanta GA 30332-0745, USA 3Department of Nuclear and Quantum Engineering, Korea Advanced Institute of Science & Technology, Yuseong-gu, Daejeon 305-701, Republic of Korea 4 Institute for Biomedical Engineering, Uni...

Finite Element Analysis: Mathematical Theory and Applications

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i Dedication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Mathematical Theory . . . . . . . . . . . . . . . . . . . . ...

Metagenomics: Theory, methods, and applications

Metagenomics is a young overarching discipline that seeks to understand population dynamics and interactions among vast microbial worlds that have not been revealed by traditional culture methods in the microbiology laboratory. Metagenomics is emerging as an essential scientific discipline: there are far-reaching implications in understanding ecosystem responses to changes in the natural enviro...