Noise-sensitive measure for stochastic resonance in biological oscillators
There has been ample experimental evidence that a variety ofbiological systems use the mechanism of stochastic resonance for tasks suchas prey capture and sensory information processing. Traditional quantities forthe characterization of stochastic resonance, such as the signal-to-noise ratio,possess...
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AIMS Press
2006-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.583 |
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| author | Ying-Cheng Lai Kwangho Park |
| author_facet | Ying-Cheng Lai Kwangho Park |
| author_sort | Ying-Cheng Lai |
| collection | DOAJ |
| description | There has been ample experimental evidence that a variety ofbiological systems use the mechanism of stochastic resonance for tasks suchas prey capture and sensory information processing. Traditional quantities forthe characterization of stochastic resonance, such as the signal-to-noise ratio,possess a low noise sensitivity in the sense that they vary slowly about theoptimal noise level. To tune to this level for improved system performance ina noisy environment, a high sensitivity to noise is required. Here we show that,when the resonance is understood as a manifestation of phase synchronization,the average synchronization time between the input and the output signal hasan extremely high sensitivity in that it exhibits a cusp-like behavior aboutthe optimal noise level. We use a class of biological oscillators to demonstratethis phenomenon, and provide a theoretical analysis to establish its generality.Whether a biological system actually takes advantage of phase synchronizationand the cusp-like behavior to tune to optimal noise level presents an interestingissue of further theoretical and experimental research. |
| format | Article |
| id | doaj-art-127204603ed54dd68767fb9dbde728a4 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-127204603ed54dd68767fb9dbde728a42025-01-24T01:52:27ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-07-013458360210.3934/mbe.2006.3.583Noise-sensitive measure for stochastic resonance in biological oscillatorsYing-Cheng Lai0Kwangho Park1School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287-5706School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287-5706There has been ample experimental evidence that a variety ofbiological systems use the mechanism of stochastic resonance for tasks suchas prey capture and sensory information processing. Traditional quantities forthe characterization of stochastic resonance, such as the signal-to-noise ratio,possess a low noise sensitivity in the sense that they vary slowly about theoptimal noise level. To tune to this level for improved system performance ina noisy environment, a high sensitivity to noise is required. Here we show that,when the resonance is understood as a manifestation of phase synchronization,the average synchronization time between the input and the output signal hasan extremely high sensitivity in that it exhibits a cusp-like behavior aboutthe optimal noise level. We use a class of biological oscillators to demonstratethis phenomenon, and provide a theoretical analysis to establish its generality.Whether a biological system actually takes advantage of phase synchronizationand the cusp-like behavior to tune to optimal noise level presents an interestingissue of further theoretical and experimental research.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.583phase synchronizationfitzhugh-nagumo (fhn) model.stochastic resonancebiological oscillators |
| spellingShingle | Ying-Cheng Lai Kwangho Park Noise-sensitive measure for stochastic resonance in biological oscillators Mathematical Biosciences and Engineering phase synchronization fitzhugh-nagumo (fhn) model. stochastic resonance biological oscillators |
| title | Noise-sensitive measure for stochastic resonance in biological oscillators |
| title_full | Noise-sensitive measure for stochastic resonance in biological oscillators |
| title_fullStr | Noise-sensitive measure for stochastic resonance in biological oscillators |
| title_full_unstemmed | Noise-sensitive measure for stochastic resonance in biological oscillators |
| title_short | Noise-sensitive measure for stochastic resonance in biological oscillators |
| title_sort | noise sensitive measure for stochastic resonance in biological oscillators |
| topic | phase synchronization fitzhugh-nagumo (fhn) model. stochastic resonance biological oscillators |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.583 |
| work_keys_str_mv | AT yingchenglai noisesensitivemeasureforstochasticresonanceinbiologicaloscillators AT kwanghopark noisesensitivemeasureforstochasticresonanceinbiologicaloscillators |