From trigger to phase waves and back again

Bordiougov, G.; Engel, Harald

doi:10.1016/j.physd.2006.01.005

Cited by 31 publications

(18 citation statements)

References 25 publications

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“…1K). Any type of wave that propagates by diffusion of some x coupled to its autocatalytic activation or production (x makes more x) is called a trigger wave, regenerative wave or reaction-diffusion wave (Bordiougov & Engel, 2006). x can be depolarisation, as in the syncytium, or some molecule, as in a chemical wave.…”

Section: Network and Wavesmentioning

confidence: 99%

“…1L), but the waves do not actually 'propagate' . They are called phase waves, pseudowaves or kinematic waves (Winfree, 1980;Bordiougov & Engel, 2006). Synchronisation will not necessarily be total, phase difference will not go to zero, and the velocity of the phase wave is the inverse of this phase lag.…”

Section: Network and Wavesmentioning

confidence: 99%

“…The waves are generated by networks of cells of various kinds, primarily muscle, neurons and the interstitial cells of Cajal (ICC). The waves can be of two fundamental types, either trigger waves or phase waves (Bordiougov & Engel, 2006), corresponding to two distinct types of cellular behaviour, excitable and oscillating, respectively. Traditionally all gut waves were thought to be trigger waves, but in the 1960s it was suggested that there are phase waves in the small intestine (Bortoff, 1961).…”

Section: Introductionmentioning

confidence: 99%

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Phase waves and trigger waves: emergent properties of oscillating and excitable networks in the gut

Parsons

Huizinga

2018

The Journal of Physiology

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The gut is enmeshed by a number of cellular networks, but there is only a limited understanding of how these networks generate the complex patterns of activity that drive gut contractile functions. Here we review two fundamental types of cell behaviour, excitable and oscillating, and the patterns that networks of such cells generate, trigger waves and phase waves, respectively. We use both the language of biophysics and the theory of nonlinear dynamics to define these behaviours and understand how they generate patterns. Based on this we look for evidence of trigger and phase waves in the gut, including some of our recent work on the small intestine.

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Section: Network and Wavesmentioning

confidence: 99%

Section: Network and Wavesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phase waves and trigger waves: emergent properties of oscillating and excitable networks in the gut

Parsons

Huizinga

2018

The Journal of Physiology

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“…In experiments and numerical simulations, a number of striking instabilities and bifurcations have been observed for parameter values close to the transition [3,5,28]. Trying to understand the transition, one may start by investigating the fate of coherent structures as one approaches a critical parameter value that marks the transition.…”

Section: Excitable and Oscillatory Mediamentioning

confidence: 99%

Coherent structures near the boundary between excitable and oscillatory media

Bellay

Scheel

2009

Dynamical Systems

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We investigate reaction-diffusion systems near parameter values that mark the transition from an excitable to an oscillatory medium. We analyze existence and stability of traveling waves near a steep pulse that arises as the limit of excitation pulses when parameters cross into the oscillatory regime. Traveling waves near this limiting profile are obtained by analyzing a codimension-two homoclinic saddle-node/orbit-flip bifurcation. The main result shows that there are precisely two generic scenarios for such a transition, distinguished by the sign of an interaction coefficient between pulses. In both scenarios, we find stable fast fronts, unstable slow fronts, stable excitation pulses, and trigger and phase waves. Both trigger and phase waves are stable for repulsive interaction and both are unstable for attractive interaction.

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“…Previous efforts on the study of PTWs focused on ionic models [22][23][24] and PDE models for excitable systems [25][26][27] and in other systems [28][29][30]. However, it is necessary to study PTWs in the monostable excitable system.…”

Section: Introductionmentioning

confidence: 99%