Defining a system in MatCont where a parameter depends on other parameter value
0
$begingroup$
I'm trying to define a biological system in MatCont but I'm facing the following problem. A parameter $UU$ depends on another parameter $T_S$ in the following way
if (TS <= 1.375){
UU = 0.02938*TS^3 - 0.006729*TS^2 + 0.05514*TS + 0.0004823;
}
if (1.375 < TS && TS <= 7){
UU = 0.01138*TS^3 - 0.06751*TS^2 + 0.203*TS - 0.05441;
}
if (TS > 7){
UU = -0.0012*TS^3 + 0.048*TS^2 + 0.42*TS - 2.9;
}
So far I've defined the system in the following way
RR'= BetaRStar*(Rt-CTR-CDR) - KaT*TT*RR + KdT*CTR - KaD*DD*RR + KdD*CDR-BetaR*RR
TT'=UU - KaT*TT*RR + KdT*CTR - alpha*Kcat*TT/(KM + TT) - BetaT*TT
DD'=alpha*Kcat*TT/(KM + TT) - KaD*DD*RR + KdD*CDR-BetaD*DD
CTR'=KaT*TT*RR - KdT*CTR
CDR'=KaD*DD*RR - KdD*CDR
I don't have any idea on how i should define $UU$. Thanks for your help.
systems-of-equations biology bifurcation
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
$endgroup$
add a comment |
0
$begingroup$
I'm trying to define a biological system in MatCont but I'm facing the following problem. A parameter $UU$ depends on another parameter $T_S$ in the following way
if (TS <= 1.375){
UU = 0.02938*TS^3 - 0.006729*TS^2 + 0.05514*TS + 0.0004823;
}
if (1.375 < TS && TS <= 7){
UU = 0.01138*TS^3 - 0.06751*TS^2 + 0.203*TS - 0.05441;
}
if (TS > 7){
UU = -0.0012*TS^3 + 0.048*TS^2 + 0.42*TS - 2.9;
}
So far I've defined the system in the following way
RR'= BetaRStar*(Rt-CTR-CDR) - KaT*TT*RR + KdT*CTR - KaD*DD*RR + KdD*CDR-BetaR*RR
TT'=UU - KaT*TT*RR + KdT*CTR - alpha*Kcat*TT/(KM + TT) - BetaT*TT
DD'=alpha*Kcat*TT/(KM + TT) - KaD*DD*RR + KdD*CDR-BetaD*DD
CTR'=KaT*TT*RR - KdT*CTR
CDR'=KaD*DD*RR - KdD*CDR
I don't have any idea on how i should define $UU$. Thanks for your help.
systems-of-equations biology bifurcation
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
$endgroup$
$begingroup$
Unfortunatly in the system window definition i can't insert if statement or amy other function.
$endgroup$
– Federico Bertacco
Dec 9 '18 at 13:33
add a comment |
0
0
0
$begingroup$
I'm trying to define a biological system in MatCont but I'm facing the following problem. A parameter $UU$ depends on another parameter $T_S$ in the following way
if (TS <= 1.375){
UU = 0.02938*TS^3 - 0.006729*TS^2 + 0.05514*TS + 0.0004823;
}
if (1.375 < TS && TS <= 7){
UU = 0.01138*TS^3 - 0.06751*TS^2 + 0.203*TS - 0.05441;
}
if (TS > 7){
UU = -0.0012*TS^3 + 0.048*TS^2 + 0.42*TS - 2.9;
}
So far I've defined the system in the following way
RR'= BetaRStar*(Rt-CTR-CDR) - KaT*TT*RR + KdT*CTR - KaD*DD*RR + KdD*CDR-BetaR*RR
TT'=UU - KaT*TT*RR + KdT*CTR - alpha*Kcat*TT/(KM + TT) - BetaT*TT
DD'=alpha*Kcat*TT/(KM + TT) - KaD*DD*RR + KdD*CDR-BetaD*DD
CTR'=KaT*TT*RR - KdT*CTR
CDR'=KaD*DD*RR - KdD*CDR
I don't have any idea on how i should define $UU$. Thanks for your help.
systems-of-equations biology bifurcation
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
$endgroup$
I'm trying to define a biological system in MatCont but I'm facing the following problem. A parameter $UU$ depends on another parameter $T_S$ in the following way
if (TS <= 1.375){
UU = 0.02938*TS^3 - 0.006729*TS^2 + 0.05514*TS + 0.0004823;
}
if (1.375 < TS && TS <= 7){
UU = 0.01138*TS^3 - 0.06751*TS^2 + 0.203*TS - 0.05441;
}
if (TS > 7){
UU = -0.0012*TS^3 + 0.048*TS^2 + 0.42*TS - 2.9;
}
So far I've defined the system in the following way
RR'= BetaRStar*(Rt-CTR-CDR) - KaT*TT*RR + KdT*CTR - KaD*DD*RR + KdD*CDR-BetaR*RR
TT'=UU - KaT*TT*RR + KdT*CTR - alpha*Kcat*TT/(KM + TT) - BetaT*TT
DD'=alpha*Kcat*TT/(KM + TT) - KaD*DD*RR + KdD*CDR-BetaD*DD
CTR'=KaT*TT*RR - KdT*CTR
CDR'=KaD*DD*RR - KdD*CDR
I don't have any idea on how i should define $UU$. Thanks for your help.
systems-of-equations biology bifurcation
systems-of-equations biology bifurcation
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
asked Dec 9 '18 at 8:31
Federico BertaccoFederico Bertacco
11
11
$begingroup$
Unfortunatly in the system window definition i can't insert if statement or amy other function.
$endgroup$
– Federico Bertacco
Dec 9 '18 at 13:33
add a comment |
$begingroup$
Unfortunatly in the system window definition i can't insert if statement or amy other function.
$endgroup$
– Federico Bertacco
Dec 9 '18 at 13:33
$begingroup$
Unfortunatly in the system window definition i can't insert if statement or amy other function.
$endgroup$
– Federico Bertacco
Dec 9 '18 at 13:33
$begingroup$
Unfortunatly in the system window definition i can't insert if statement or amy other function.
$endgroup$
– Federico Bertacco
Dec 9 '18 at 13:33
add a comment |
0
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$begingroup$
Unfortunatly in the system window definition i can't insert if statement or amy other function.
$endgroup$
– Federico Bertacco
Dec 9 '18 at 13:33