تقرير
Hopf-type neurons increase input-sensitivity by forming forcing-coupled ensembles
| العنوان: | Hopf-type neurons increase input-sensitivity by forming forcing-coupled ensembles |
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| المؤلفون: | Gomez, Florian, Lorimer, Tom, Stoop, Ruedi |
| سنة النشر: | 2015 |
| المجموعة: | Nonlinear Sciences Physics (Other) Quantitative Biology |
| مصطلحات موضوعية: | Quantitative Biology - Neurons and Cognition, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Physics - Biological Physics |
| الوصف: | Astounding properties of biological sensors can often be mapped onto a dynamical system in the vicinity a bifurcation. For mammalian hearing, a Hopf bifurcation description has been shown to work across a whole range of scales, from individual hair bundles to whole regions of the cochlea. We reveal here the origin of this scale-invariance, from a general level, applicable to all neuronal dynamics in the vicinity of a Hopf bifurcation (embracing, e.g., Hodgkin-Huxley equations). When coupled by natural 'force-coupling', ensembles of Hopf oscillators below bifurcation threshold exhibit a collective Hopf bifurcation. This collective Hopf bifurcation occurs substantially below where the average of the individual oscillators would bifurcate, with a frequency profile that is sharpened if compared to the individual oscillators. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1510.03241 |
| رقم الأكسشن: | edsarx.1510.03241 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |