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</tr>  </table> </td> <td width="14" valign="middle"> <p align="center"> <img border="0" src="images/pix01.gif" width="1" height="100%" align="left"></td> <td width="780" valign="top"> <table border="0" cellpadding="0" cellspacing="0" width="100%"> <tr> <td width="100%" class="PageTitle"><span lang="en-us">Content</span></td> </tr> <tr> <td bgcolor="#B0B0B0" height="1"></td> </tr> <tr> <td height="20" valign="middle"> <table border="0" cellpadding="0" cellspacing="0" width="100%"> <tr> <td height="5"></td> <td height="5"></td> </tr> <tr> <td height="20" class="Trace" bgcolor="#F3F3F3" width="5">  </td> <td height="20" class="Trace" bgcolor="#F3F3F3"> <p align="left"><span lang="en-us"> <a href="ContentVol.asp?JorID=1">Volumes</a> > <a href="ContentIss.asp?JorID=1&VolID=86">Volume 08</a> > <a href="ContentDtl.asp?IssID=187">No. 2</a></span></td> </tr> <tr> <td height="20"> </td> <td height="20"></td> </tr> </table> </td> </tr> </table> <table border="0" cellpadding="0" cellspacing="0" width="100%"> <tr> <td width="100%" valign="middle"> <table border="0" cellpadding="0" cellspacing="0" width="100%">  <tr> <td width="101%" valign="top" bgcolor="#F3F3F3"> <table border="0" cellpadding="0" cellspacing="0" width="100%"> <tr> <td width="10" rowspan="15"> </td> <td valign="top" height="5"> </td> <td width="12" rowspan="15"> </td> </tr> <tr> <td valign="top" class="Title"> <p align="left"> <span lang="en-us">A Thermostatted Kinetic Framework with Particle Refuge for the Modeling of Tumors Hiding</span></td> </tr> <tr> <td valign="top" height="5"> </td> </tr> <tr> <td valign="top" height="20" class="Content"> <span lang="en-us"> PP: 469-473</span></td> </tr> <tr> <td valign="top" height="10"> </td> </tr> <tr> <td valign="top" class="Title"> <span lang="en-us">Author(s)</span></td> </tr> <tr> <td valign="top" height="5"> </td> </tr> <tr> <td valign="top" height="10" class="Content"> <span lang="en-us"> <a href="Author.asp?AuthID=8645&ArtcID=4672">Carlo Bianca</a>, <a href="Author.asp?AuthID=8646&ArtcID=4672">Christian Dogbe</a>, <a href="Author.asp?AuthID=8647&ArtcID=4672">Luca Guerrini</a>, </span></td> </tr> <tr> <td valign="top" height="20"> </td> </tr> <tr> <td valign="top" class="Title"> <span lang="en-us">Abstract</span></td> </tr> <tr> <td valign="top" height="5"> </td> </tr> <tr> <td valign="top" height="10" class="Content">Recently, thermostatted kinetic models have been proposed for the modeling of complex systems subjected to external force fields. This paper deals with the derivation of a generalized thermostatted kinetic framework, which incorporates particles refuge. From the qualitative viewpoint, the global in time existence and uniqueness of the solution to the relative Cauchy problem, the time evolution of the moments of the solution, and the existence of stationary solutions are discussed. Applications refer to biological systems and especially to tumor-escape from immune system surveillance, indeed within this framework an mathematical model for the tumorimmune system competition is derived. 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