Most of human endogenous processes are subject to the circadian rhythm. This rhythm, in turn, demonstrates the adaptation of the body to the cycle of day and night, that is, it is regulated by illumination. Normally, the sleep / wake cycle is synchronized with the circadian rhythm, but sometimes, for various reasons, the phenomenon of desynchronization occurs, which can take a different form. We present a model study of such a phenomenon by introducing both random and periodic forcing on the neuronal nuclei responsible for sleep and wakefulness. The results of the study confirmed the experimental data on changes in sleep patterns, and also made it possible to predict that the effect on the homeostatic process associated with the sleep / wake cycle may lead to desynchronization.
The mechanisms of contractility and spatiotemporal patterns of activity of the lymphatic vessels are studied much less than for blood vessels. However, an understanding of the characteristics of their dynamics is equally important for biomedical applications. In this work, we propose a simple model of contractile activity of the elementary segment of the lymphatic vessel, which we use to assemble a model of lymphangion, a functional unit of the lymphatic system that provides lymph pumping. Our results show that the approach is promising, especially with further parametrization of the model.
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