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Human sleep-wake regulatory network model (Gleit et al 2013, Booth et al 2017)

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<p class=MsoNormal>Sleep-wake regulatory network model for typical human sleep</p>

<p class=MsoNormal>&nbsp;</p>

<p class=MsoNormal>Based on the model introduced in (Gleit, Diniz Behn and
Booth, J Biol Rhythms 28:339-355, 2013) with slight revisions as in (Booth,
Xique and Diniz Behn, SIAM J Appl Dyn
Sys,
16(2):1089-1112, 2017). </p>

<p class=MsoNormal>&nbsp;</p>

<p class=MsoNormal>Revisions include:</p>

<p class=MsoListParagraph style='text-indent:-.25in'><span style='font-family:
Symbol'>*<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span>3 sleep and wake state promoting neuronal populations included in
model network</p>

<p class=MsoListParagraph style='text-indent:-.25in'><span style='font-family:
Symbol'>*<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span>reduced equation form for neurotransmitter concentrations</p>

<p class=MsoListParagraph style='text-indent:-.25in'><span style='font-family:
Symbol'>*<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span>parameters for time constants of homeostatic sleep drive updated
based on data in Rusterholz et al, SLEEP 33:491-498, 2010.</p>

<p class=MsoListParagraph style='text-indent:-.25in'><span style='font-family:
Symbol'>*<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span>parameters corrected in circadian oscillator model as in Serkh
and Forger, PLoS Comput Biol 10:e1003523, 2014</p>

<p class=MsoNormal>&nbsp;</p>

<p class=MsoNormal>Matlab files:</p>

<p class=MsoNormal>run_DinizBehnBooth_SWnetworkModel.m: this file calls the
MATLAB ode solver to numerically simulate the model equations, generates
figures of model variables and computes basic statistics of the simulated
sleep-wake pattern, including swperiod = period of each sleep-wake cycle,
sleepdurs = duration of each sleep episode, wakedurs = duration of each wake
episode, REMcycle = time between onsets of successive REM sleep episodes,
REMdurs = duration of each REM sleep episode, phases_sleeponsets = phase of
sleep onset relative to the minimum of the circadian clock drive variable c.</p>

<p class=MsoNormal>&nbsp;</p>

<p class=MsoNormal>DinizBehnBooth_SWnetworkModel.m: this file contains the
model equations.</p>

<p class=MsoNormal>&nbsp;</p>

<p class=MsoNormal>To simulate the model, enter the following at the MATLAB
command prompt</p>

<p class=MsoNormal style='text-autospace:none'><span style='font-size:11.0pt;
font-family:Courier;color:black'>[t,x,swperiod,sleepdurs,wakedurs,REMcycle,REMdurs,phases_sleeponsets]
= run_DinizBehnBooth_SWnetworkModel;</span></p>

<p class=MsoNormal style='text-autospace:none'><span style='font-size:10.0pt;
font-family:Courier;color:black'>&nbsp;</span></p>

<p class=MsoNormal style='text-autospace:none'><span style='color:black'>The
following two figures will be generated that show the neuronal population
firing rates (Figure 1) and the homeostatic sleep drive (Figure 2) over 10
simulated 24h days.</span></p>

<p class=MsoNormal style='text-autospace:none'><span style='color:black'>&nbsp;</span></p>

<p class=MsoNormal style='text-autospace:none'><span style='color:black'><img
width="550" id="Picture 1" src="./images/image001.png"></span></p>

<p class=MsoNormal style='text-autospace:none'><span style='font-family:Courier'>&nbsp;</span></p>

<p class=MsoNormal><img width="550" id="Picture 2"
src="./images/image002.png"></p>

<p class=MsoNormal>&nbsp;</p>

<p class=MsoNormal>The simulated behavioral state is interpreted as follows:</p>

<p class=MsoNormal>Wake = Wake population firing rate &gt; 4 Hz</p>

<p class=MsoNormal>Sleep = Wake population firing rate &lt; 4 Hz</p>

<p class=MsoNormal>REM sleep = REM population firing rate &gt; 3 Hz</p>

<p class=MsoNormal>&nbsp;</p>

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