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<head><title>2.1.1.0 model_MSM.py</title> 
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   <h5 class="subsubsectionHead"><a 
 id="x45-440002.1.1"></a><span 
class="cmtt-10x-x-109">model</span><span 
class="cmtt-10x-x-109">_MSM.py</span></h5>
<!--l. 3--><p class="noindent" ><span 
class="cmbx-10x-x-109">NAME</span>
<!--l. 3--><p class="indent" >   <span 
class="cmbx-10x-x-109">model</span><span 
class="cmbx-10x-x-109">_MSM.py </span>- Multi-activity Stochastic Model.
<!--l. 3--><p class="noindent" ><span 
class="cmbx-10x-x-109">SYNOPSYS</span>
<!--l. 3--><p class="indent" >   <span 
class="cmbx-10x-x-109">model</span><span 
class="cmbx-10x-x-109">_MSM.py  </span><span 
class="cmmi-10x-x-109">&#x003C;</span><span 
class="cmitt-10x-x-109">node</span><span 
class="cmitt-10x-x-109">_Bi</span><span 
class="cmitt-10x-x-109">_file</span><span 
class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span 
class="cmitt-10x-x-109">M</span><span 
class="cmmi-10x-x-109">&#x003E;</span>
<!--l. 21--><p class="noindent" ><span 
class="cmbx-10x-x-109">DESCRIPTION</span>
<!--l. 21--><p class="indent" >   This is the Multi-activity Stochastic Model (MSM). In this model each node <span 
class="cmmi-10x-x-109">i</span>
is considered active if it was active in the reference multiplex, and is activated on
each layer with a probability equal to <span 
class="cmmi-10x-x-109">B</span><sub><span 
class="cmmi-8">i</span></sub><span 
class="cmmi-10x-x-109">&#x2215;M </span>where <span 
class="cmmi-10x-x-109">B</span><sub><span 
class="cmmi-8">i</span></sub> was the activity of node <span 
class="cmmi-10x-x-109">i</span>
in the reference multiplex.
<!--l. 21--><p class="indent" >   The file <span 
class="cmti-10x-x-109">node</span><span 
class="cmti-10x-x-109">_Bi</span><span 
class="cmti-10x-x-109">_file </span>is in the format:
<!--l. 21--><p class="indent" >   &#x00A0;     <span 
class="cmti-10x-x-109">node</span><span 
class="cmti-10x-x-109">_i Bi)</span>
<!--l. 21--><p class="indent" >   where <span 
class="cmti-10x-x-109">Bi </span>is the value of node activity of <span 
class="cmti-10x-x-109">node</span><span 
class="cmti-10x-x-109">_i </span>in the reference multiplex.
<!--l. 21--><p class="indent" >   The parameter <span 
class="cmti-10x-x-109">M </span>is the number of layers in the multiplex.
<!--l. 36--><p class="noindent" ><span 
class="cmbx-10x-x-109">OUTPUT</span>
<!--l. 36--><p class="indent" >   The program prints on <span 
class="cmtt-10x-x-109">stdout </span>a node-layer list of lines in the format:
<!--l. 36--><p class="indent" >   &#x00A0;     <span 
class="cmti-10x-x-109">node</span><span 
class="cmti-10x-x-109">_i layer</span><span 
class="cmti-10x-x-109">_i</span>
<!--l. 36--><p class="indent" >   where <span 
class="cmti-10x-x-109">node</span><span 
class="cmti-10x-x-109">_i </span>is the ID of a node and <span 
class="cmti-10x-x-109">layre</span><span 
class="cmti-10x-x-109">_i </span>is the ID of a layer. This
list indicates which nodes are active in which layer. For instance, the
line:
<!--l. 36--><p class="indent" >   &#x00A0;     <span 
class="cmti-10x-x-109">24 3</span>
<!--l. 36--><p class="indent" >   indicates that the node with ID <span 
class="cmti-10x-x-109">24 </span>is active on layer <span 
class="cmti-10x-x-109">3</span>.
<!--l. 38--><p class="noindent" ><span 
class="cmbx-10x-x-109">REFERENCE</span>
<!--l. 38--><p class="indent" >   V. Nicosia, V. Latora, &#8220;Measuring and modeling correlations in multiplex
networks&#8221;, <span 
class="cmti-10x-x-109">Phys. Rev. E </span><span 
class="cmbx-10x-x-109">92</span>, 032805 (2015).
<!--l. 38--><p class="indent" >   Link to paper: <a 
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805" class="url" ><span 
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805</span></a>
                                                                     

                                                                     
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