Coupled-oscillator theory of dispersion and Casimir-Polder interactions

2014 ◽  
Vol 141 (16) ◽  
pp. 164105 ◽  
Author(s):  
P. R. Berman ◽  
G. W. Ford ◽  
P. W. Milonni
2015 ◽  
Vol 308 (4) ◽  
pp. G287-G297 ◽  
Author(s):  
Sean P. Parsons ◽  
Jan D. Huizinga

Waves of contraction in the small intestine correlate with slow waves generated by the myenteric network of interstitial cells of Cajal. Coupled oscillator theory has been used to explain steplike gradients in the frequency (frequency plateaux) of contraction waves along the length of the small intestine. Inhibition of gap junction coupling between oscillators should lead to predictable effects on these plateaux and the wave dislocation (wave drop) phenomena associated with their boundaries. It is these predictions that we wished to test. We used a novel multicamera diameter-mapping system to measure contraction along 25- to 30-cm lengths of murine small intestine. There were typically two to three plateaux per length of intestine. Dislocations could be limited to the wavefronts immediately about the terminated wave, giving the appearance of a three-pronged fork, i.e., a fork dislocation; additionally, localized decreases in velocity developed across a number of wavefronts, ending with the terminated wave, which could appear as a fork, i.e., slip dislocations. The gap junction inhibitor carbenoxolone increased the number of plateaux and dislocations and decreased contraction wave velocity. In some cases, the usual frequency gradient was reversed, with a plateau at a higher frequency than its proximal neighbor; thus fork dislocations were inverted, and the direction of propagation was reversed. Heptanol had no effect on the frequency or velocity of contractions but did reduce their amplitude. To understand intestinal motor patterns, the pacemaker network of the interstitial cells of Cajal is best evaluated as a system of coupled oscillators.


Author(s):  
Bard Ermentrout ◽  
Youngmin Park ◽  
Dan Wilson

We review the theory of weakly coupled oscillators for smooth systems. We then examine situations where application of the standard theory falls short and illustrate how it can be extended. Specific examples are given to non-smooth systems with applications to the Izhikevich neuron. We then introduce the idea of isostable reduction to explore behaviours that the weak coupling paradigm cannot explain. In an additional example, we show how bifurcations that change the stability of phase-locked solutions in a pair of identical coupled neurons can be understood using the notion of isostable reduction. This article is part of the theme issue ‘Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences’.


1988 ◽  
Vol 53 (11) ◽  
pp. 2664-2666 ◽  
Author(s):  
Liang Huang ◽  
Yi-Kang Si ◽  
Günther Snatzke ◽  
Duo-Kai Zheng ◽  
Jin Zhou

The absolute configuration of the physiologically active (-)-gossypol has been suggested to be M by application of the coupled oscillator theory to its CD.


Author(s):  
Dervilla M. X. Donnelly ◽  
Judith Polonsky ◽  
Thierry Prangé ◽  
Günther Snatzke ◽  
Ulrich Wagner

2009 ◽  
Vol 129 (7) ◽  
pp. 1444-1450
Author(s):  
Shingo Tomonaga ◽  
Hiroyuki Kitajima ◽  
Takuji Kousaka
Keyword(s):  

2000 ◽  
Vol 40 (supplement) ◽  
pp. S100
Author(s):  
A. Takamatsu ◽  
T. Fujii ◽  
I. Endo

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