Sensitivity analysis of circadian entrainment in the space of phase response curves

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.Comment: 22 pages, 8 figures. Correction of a mistake in Definition 2.1. arXiv admin note: text overlap with arXiv:1206.414

Brain Glucagon-Like Peptide-1 Regulates Arterial Blood Flow, Heart Rate, and Insulin Sensitivity

OBJECTIVE— To ascertain the importance and mechanisms underlying the role of brain glucagon-like peptide (GLP)-1 in the control of metabolic and cardiovascular function. GLP-1 is a gut hormone secreted in response to oral glucose absorption that regulates glucose metabolism and cardiovascular function. GLP-1 is also produced in the brain, where its contribution to central regulation of metabolic and cardiovascular homeostasis remains incompletely understood