Strogatz had given a simple phase model for sleep-wake dynamics based upon two coupled oscillators (Human sleep and circadian rhythms: a simple model based on two coupled oscillators, S H Strogatz). It was supposed to be preliminary model to be made more realistic later.
(The reference to the Strogatz model: https://www.researchgate.net/publication/19536985_Human_sleep_and_circadian_rhythms_a_simple_model_based_on_two_coupled_oscillators?ev=srch_pub&_sg=foygOXxZYJIGGLUnguZgLYz05G1mg6pJqVMbxnBu1%2F3kBMkBgFse9Qy%2Fg9b3%2Bcqy_LxQLAV3SA%2Ftk09ebpOKEa34pwbd9HzcjOVYRFicQLP5C8NyY7Srghr5%2BebgSUfsW)
Has anybody seen such a modified/improved model based upon the phase model? I couldn't find any model that improved over the Strogatz model.
Article Human sleep and circadian rhythms: a simple model based on t...
Dear Sanjeev,
When it comes to human sleep models I would also recommend to look at the work from Daan, Beersma and Borbély (orginally proposed in 1984; Timing of human sleep: recovery process gated by a circadian pacemaker). Their two-process model of sleep is still often used by chronobiologists as a simplified model for sleep regulation. A later update and comparison of multiple sleep models is also provided in a review by Beersma in 1998 (Models of human sleep regulation, in sleep med. reviews). I hope these papers and the citations within might help you with your question.
Dear Sjaak,
Thanks for the reply. I have already followed that line of research into sleep-wake dynamics where we view sleep as an interplay of a circadian process and an homeostatic process. I was interested in an alternative picture which differs drastically and not not cosmetically from the two process model and its successors. Strogatz approach is really fascinating but I was surprised that it was not pursued in the literature. I was just trying to know whether there are some follow ups of the Strogatz approach that I am missing.
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