<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=us-ascii"><meta name=Generator content="Microsoft Word 14 (filtered medium)"><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri","sans-serif";
mso-fareast-language:EN-US;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:purple;
text-decoration:underline;}
span.StileMessaggioDiPostaElettronica17
{mso-style-type:personal-compose;
font-family:"Calibri","sans-serif";
color:windowtext;}
span.shorttext
{mso-style-name:short_text;}
.MsoChpDefault
{mso-style-type:export-only;
font-family:"Calibri","sans-serif";
mso-fareast-language:EN-US;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:70.85pt 2.0cm 2.0cm 2.0cm;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=IT link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span class=shorttext><span lang=EN>Hi<o:p></o:p></span></span></p><p class=MsoNormal><span class=shorttext><span lang=EN>Can I create with Scilab a bifurcation diagram?<o:p></o:p></span></span></p><p class=MsoNormal><span lang=EN-US>I have this </span><span class=shorttext><span lang=EN>system of differential equations (in dt):<o:p></o:p></span></span></p><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US>Glucose'=k0*Glucose-k1*Glucose*ATP/(1+(ATP/ki)^n)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>ATP'=-2*k1*Glucose*ATP/(1+(ATP/ki)^n)+((k31*k32*TGP*NAD*(atot-ATP)-k33*k34*PG*ATP*(NADH))/(k33*(NADH)+k32*(atot-ATP)))+(k4*PG*(atot-ATP))-(k7*ATP)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>F16P'=k1*Glucose*ATP/(1+(ATP/ki)^n)-k2*F16P<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>TGP'=2*k2*F16P-((k31*k32*TGP*NAD*(atot-ATP)-k33*k34*PG*ATP*(NADH))/(k33*(NADH)+k32*(atot-ATP)))-(k8*TGP*(NADH))<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>NAD'=(k8*TGP*(NADH))+((k31*k32*TGP*NAD*(atot-ATP)-k33*k34*PG*ATP*(NADH))/(k33*(NADH)+k32*(atot-ATP)))+(k6*Acetaldehyde*(NADH))<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>PG'=((k31*k32*TGP*NAD*(atot-ATP)-k33*k34*PG*ATP*(ntot-NAD))/(k33*(ntot-NAD)+k32*(atot-ATP)))-(k4*PG*(atot-ATP))<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>Pyruvate'=k4*PG*(atot-ATP)-(k5*Pyruvate)<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>Acetaldehyde'=(k5*Pyruvate)-(k6*Acetaldehyde*(NADH))-(k10*(Acetaldehyde-extracellularacetaldehyde))<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>extracellularacetaldehyde'=0.1*(k10*(Acetaldehyde-extracellularacetaldehyde))-k9*extracellularacetaldehyde<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US>NADH'=((k31*k32*TGP*NAD*(atot-ATP)-k33*k34*PG*ATP*(NADH))/(k33*(NADH)+k32*(atot-ATP)))-(k6*Acetaldehyde*(NADH))-(k8*TGP*(NADH))<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US>And I want a diagram Nadh vs k9, Is possible?<o:p></o:p></span></p><p class=MsoNormal><span class=shorttext><span lang=EN>I also would like to know what the Hopf point.<o:p></o:p></span></span></p><p class=MsoNormal><span class=shorttext><span lang=EN><o:p> </o:p></span></span></p><p class=MsoNormal><span class=shorttext><span lang=EN>There is an example?<o:p></o:p></span></span></p><p class=MsoNormal><span class=shorttext><span lang=EN>thanks<o:p></o:p></span></span></p><p class=MsoNormal><span class=shorttext><span lang=EN>Regards</span></span><span lang=EN-US><o:p></o:p></span></p></div></body></html>