Sensitivity analysis of circadian entrainment in the space of phase response curves
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arXiv
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| Format: | Preprint |
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2012
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| _version_ | 1866929333009907712 |
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| author | Sacré, Pierre Sepulchre, Rodolphe |
| author_facet | Sacré, Pierre Sepulchre, Rodolphe |
| contents | Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input--output characteristic of oscillators, we developed a sensitivity analysis for oscillator models in the space of phase response curves. The proposed tool can be applied to high-dimensional oscillator models without facing the curse of dimensionality obstacle associated with numerical exploration of the parameter space. Application of this tool to a state-of-the-art model of circadian rhythms suggests that it can be useful and instrumental to biological investigations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1211_7317 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Sensitivity analysis of circadian entrainment in the space of phase response curves Sacré, Pierre Sepulchre, Rodolphe Dynamical Systems Quantitative Methods Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input--output characteristic of oscillators, we developed a sensitivity analysis for oscillator models in the space of phase response curves. The proposed tool can be applied to high-dimensional oscillator models without facing the curse of dimensionality obstacle associated with numerical exploration of the parameter space. Application of this tool to a state-of-the-art model of circadian rhythms suggests that it can be useful and instrumental to biological investigations. |
| title | Sensitivity analysis of circadian entrainment in the space of phase response curves |
| topic | Dynamical Systems Quantitative Methods |
| url | https://arxiv.org/abs/1211.7317 |