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<div style="direction: ltr;font-family: Tahoma;color: #000000;font-size: 10pt;"><font size="2"><span style="font-size:10pt;">Sayın liste üyeleri,<br>
<br>
GTÜ Matematik Bölümü Genel Seminerleri kapsamında,<br>
10 Aralık Çarşamba günü saat 14:00'da Derya Altıntan <br>
(Selçuk Üniversitesi) bir seminer verecektir. Seminerin <br>
detayları aşağıda olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla,<br>
İpek Tuvay & Seher Tutdere<br>
</span></font><br>
<font size="2"><span style="font-size:10pt;">Dear all,<br>
<br>
There will be a seminar in Gebze Institute of Technology (GIT) on 10th of<br>
December by Derya Altıntan (Selçuk Uni) on</span></font><span lang="EN-GB"><a href="http://sc.iam.metu.edu.tr/aigaion/index.php/publications/show/534" title="View publication details"><span style="mso-bidi-font-size:12.0pt;
font-family:"Times New Roman","serif";color:black;mso-themecolor:text1;
text-decoration:none;text-underline:none"><font size="2">
<font face="Tahoma">"</font></font><font face="Tahoma">Jump-Diffusion Approximation
</font></span></a><br>
<a href="http://sc.iam.metu.edu.tr/aigaion/index.php/publications/show/534" title="View publication details"><span style="color: black; text-decoration: none;">of Stochastic Reaction Systems</span></a></span><span style="color: black;" lang="EN-GB"></span><font size="2"><span style="font-size:10pt;">".
<br>
<br>
Time and place: December 10, at 14:00 in Department of Mathematics,<br>
Building I, Seminar room.<br>
<br>
Abstract: <br>
</span><br>
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<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">It is possible to consider biological processes as reaction systems that are formed by many
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">different species interacting via multiple chemical reactions. It is a well-known fact that
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">reaction types and also abundance of reactants in these processes cannot be classified</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">in one category. To be more precise, they can have fast/slow reactions and reactants
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">in these processes can have high/low copy-number of molecules. In other words,
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">these processes have multi-scale nature. There are two well-established approaches to
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">model the behaviour of reaction systems: deterministic approach which assumes that the</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">behaviours of such processes are continuous, deterministic and stochastic approach which
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">assumes that the behaviours of such processes are discrete, stochastic. Using only one of
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">these approaches fails to account for this multi-scale nature of biological processes. Therefore,
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">it is necessary to couple different approaches in one computational model.
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
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<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB"> </span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">We developed an efficient diffusion approximation to capture this multi-scale nature. Briefly,
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">in this study, we partitioned the reactions into two fast and slow groups. Then, we modelled
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">fast reactions with Langevin equation while slow reactions were modelled with Continuous
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">Time Markov Chains (CTMCs). The error bound of the model is used to construct dynamic
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">partitioning algorithm which takes into account the fact that types of reactions can change
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">during the course of time for simulation of multi-scale processes. The proposed algorithm is
<br>
</span></p>
<p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal;mso-layout-grid-align:none;text-autospace:none">
<span style="font-size:8.0pt;font-family:"Tahoma","sans-serif"" lang="EN-GB">applied to Michaelis Menten model and MAPK signalling pathway.
</span></p>
<p class="MsoNormal" style="text-align:justify"><span style="font-size:8.0pt;line-height:115%;font-family:"Tahoma","sans-serif"" lang="EN-GB"> </span></p>
<span style="font-size:8.0pt;line-height:115%;font-family:"Tahoma","sans-serif";
mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;color:black;
mso-themecolor:text1;mso-ansi-language:EN-GB;mso-fareast-language:EN-US;
mso-bidi-language:AR-SA" lang="EN-GB">This
presentation is based on the paper “</span><span style="font-size:8.0pt;line-height:115%;font-family:"Tahoma","sans-serif";
mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-ansi-language:
EN-GB;mso-fareast-language:EN-US;mso-bidi-language:AR-SA" lang="EN-GB"><a href="http://sc.iam.metu.edu.tr/aigaion/index.php/publications/show/534" title="View publication details"><span style="color:black;mso-themecolor:text1;
text-decoration:none;text-underline:none">Jump-diffusion
approximation of stochastic reaction </span></a><br>
<a href="http://sc.iam.metu.edu.tr/aigaion/index.php/publications/show/534" title="View publication details"><span style="color:black;mso-themecolor:text1;
text-decoration:none;text-underline:none">dynamics: Error bounds and algorithms</span></a><span style="color:black;mso-themecolor:text1">”
which is joint work with </span><a href="http://sc.iam.metu.edu.tr/aigaion/index.php/authors/show/683" title="All information on Ganguly, A."><span style="color:black;mso-themecolor:
text1;text-decoration:none;text-underline:none">A. Ganguly</span></a><span style="color:black;mso-themecolor:text1">,
</span><a href="http://sc.iam.metu.edu.tr/aigaion/index.php/authors/show/690" title="All information on Koeppl, H."><span style="color:black;mso-themecolor:
text1;text-decoration:none;text-underline:none">H. Koeppl</span></a><span style="color:black;mso-themecolor:text1">
and <br>
submitted to SIAM Journal of Multiscale Modelling and Simulations<br>
<br>
<br>
</span></span><font size="2"><span style="font-size:10pt;">All interested are kindly invited,<br>
Best regards,<br>
İpek Tuvay & Seher Tutdere</span></font><!--[if gte mso 9]><xml>
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