FRONTIERS OF APPLIED MATHEMATICS

FRONTIERS OF APPLIED MATHEMATICS
Proceedings of the 2nd International Symposium

Beijing, China, 8 - 9 June 2006

CONTENTS


FRONT MATTER	i
MULTIPLE RHYTHMS AND SWITCHES IN THE NERVOUS SYSTEM N. KOPELL, D. PERVOUCHINE, H. G. ROTSTEIN, T. NETOFF, M. WHITTINGTON and T. GLOVELI	1
SOME IDEAS ON ACTION POTENTIALS D. Y. HSIEH	19
NEGATIVE FEEDBACK IN MORPHOGEN GRADIENTS M. KHONG and F.Y.M. WAN	29
CSAW: STOCHASTIC APPROACH TO PROTEIN FOLDING KERSON HUANG	53
“COLLAPSE AND SEARCH” DYNAMICS OF PROTEIN FOLDING DETECTED BY TIME-RESOLVED SMALL-ANGLE X-RAY SCATTERING SATOSHI TAKAHASHI and TETSURO FUJISAWA	69
STRUCTURAL TRANSITIONS IN BIOPOLYMERS: FROM DNA TO PROTEIN TO SPIDER SILK HAIJUN ZHOU	77
THE STRUCTURE, EVOLUTION AND INSTABILITY OF A SELF-GRAVITATING GASEOUS DISK UNDER THE INFLUENCE OF PERIODIC FORCINGS CHI YUAN	95
DYNAMICS OF SPIRAL GALAXIES G. BERTIN	109
DARK MATTER DYNAMICS IN GALAXIES CHUNG-PEI MA	123
ASYMPTOTICS AND STAR FORMATION FRANK H. SHU	131
SOLITARY WAVES FROM OPTICS TO FLUID DYNAMICS M. J. ABLOWITZ and A. DOCHERTY	155
RESONANCE PROBLEMS IN PHOTONICS M. I. WEINSTEIN	187
SOME MATHEMATICAL PROPERTIES OF LONG WAVES D. J. BENNEY	205
NEW SOLITARY WAVE STRUCTURES IN TWO-DIMENSIONAL PERIODIC MEDIA ZUOQIANG SHI and JIANKE YANG	211
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