Example CD Solved Problems - Blood Coagulation |POLVER05_3
d(TF)/d(t) =  r2-r1-r3+r4  #
d(VII)/d(t) =  r2-r1-r6-r7-r5  #
d(TFVII)/d(t) =  r1-r2  #
d(VIIa)/d(t) =  -r3+r4+r5+r6+r7  #
d(TFVIIa)/d(t) =  r3-r4+r9-r8-r11+r12-r13+r14-r42-r37+r15  #
d(Xa)/d(t) =  r11+r12+r22-r27+r28-r33+r34-r38  #
d(IIa)/d(t) =  r16+r32-r41  #
d(X)/d(t) =  -r8+r9-r20+r21+r25  #
d(TFVIIaX)/d(t) =  r8-r9-r10  #
d(TFVIIaXa)/d(t) =  r10+r11-r12-r35+r36  #
d(IX)/d(t) =  r14-r13  #
d(TFVIIaIX)/d(t) =  r13-r14-r15  #
d(IXa)/d(t) =  r15-r18+r19+r25-r40  #
d(II)/d(t) =  r30-r29-r16  #
d(VIII)/d(t) =   -r17   #
d(VIIIa)/d(t) =  r17-r18+r19-r23+r24  #
d(IXaVIIIa)/d(t) =  -r20+r21+r22+r18-r19  #
d(IXaVIIIaX)/d(t) =  r20-r21-r22-r25  #
d(VIIIa1L)/d(t) =  r23-r24+r25  #
d(VIIIa2)/d(t) =  r23+r25-r24  #
d(V)/d(t) =          -r26          #
d(Va)/d(t) =  r26-r27+r28  #
d(XaVa)/d(t) =  r27-r28-r29+r30+r31  #
d(XaVaII)/d(t) =  r29-r30-r31  #
d(mIIa)/d(t) =  r31-r32-r39  #
d(TFPI)/d(t) =  r34-r33-r35+r36  #
d(XaTFPI)/d(t) =  r33-r34-r37  #
d(TFVIIaXaTFPI)/d(t) =  r35-r36+r37  #
d(ATIII)/d(t) =  -r38-r39-r40-r41-r42  #
d(XaATIII)/d(t) =          r38          #
d(mIIaATIII)/d(t) =          r39          #
d(IXaATIII)/d(t) =          r40          #
d(TFVIIIaATIII)/d(t) =          r42          #
d(IIaATIII)/d(t) =          r41          #
r1 =  k1*TF*VII  #
r2 =  k2*TFVII  #
r3 =  k3*TF*VIIa  #
r4 =  k4*TFVIIa  #
r5 =          k5*TFVIIa*VII          #
r6 =          k6*Xa*VII          #
r7 =          k7*IIa*VII          #
r8 =  k8*TFVIIa*X  #
r9 =  k9*TFVIIaX  #
r10 =          k10*TFVIIaX          #
r11 =  k11*TFVIIa*Xa  #
r12 =  k12*TFVIIaXa  #
r13 =  k13*TFVIIa*IX  #
r14 =  k14*TFVIIaIX  #
r15 =          k15*TFVIIaIX          #
r16 =          k16*Xa*II          #
r17 =         k17*IIa*VIII         #
r18 =  k18*IXa*VIIIa  #
r19 =  k19*IXaVIIIa  #
r20 =  k20*IXaVIIIa*X  #
r21 =  k21*IXaVIIIaX  #
r22 =          k22*IXaVIIIaX          #
r23 =  k23*VIIIa  #
r24 =  k24*VIIIa1L*VIIIa2  #
r25 =          k25*IXaVIIIaX          #
r26 =          k26*IIa*V          #
r27 =  k27*Xa*Va  #
r28 =  k28*XaVa  #
r29 =  k29*XaVa*II  #
r30 =  k30*XaVaII  #
r31 =          k31*XaVaII          #
r32 =          k32*mIIa*XaVa          #
r33 =  k33*Xa*TFPI  #
r34 =  k34*XaTFPI  #
r35 =  k35*TFVIIaXa*TFPI  #
r36 =  k36*TFVIIaXaTFPI  #
r37 =          k37*TFVIIa*XaTFPI          #
r38 =          k38*Xa*ATIII          #
r39 =          k39*mIIa*ATIII          #
r40 =          k40*IXa*ATIII          #
r41 =          k41*IIa*ATIII          #
r42 =          k42*TFVIIa*ATIII          #
k1 =  3.2e6  #(s-1)
k2 =  3.1e-3  #(M-1  s-1)
k3 =  2.3e7  #( s-1)
k4 =  3.1e-3  #(M-1  s-1)
k5 =     4.4e5     #(s-1)
k6 =     1.3e7     #(M-1  s-1)
k7 =     2.3e4     #(M-1  s-1)
k8 =  2.5e7  #( s-1)
k9 =  1.05  #(M-1  s-1)
k10 =     6     #(s-1)
k11 =  2.2e7  #( s-1)
k12 =  19  #(M-1  s-1)
k13 =  1.0e7  #( s-1)
k14 =  2.4  #(M-1  s-1)
k15 =     1.8     #(s-1)
k16 =     7.5e3     #(M-1  s-1)
k17 =     2e7     #(M-1  s-1)
k18 =  1.0e7  #(s-1)
k19 =  5e-3  #(M-1  s-1)
k20 =  1e8  #(s-1)
k21 =  1e-3  #(M-1  s-1)
k22 =     8.2     #( s-1)
k23 =  6e-3  #(M-1  s-1)
k24 =  2.2e4  #(s-1)
k25 =     1e-3     #( s-1)
k26 =     2e7     #(M-1  s-1)
k27 =  4e8  #( s-1)
k28 =  0.2  #(M-1  s-1)
k29 =  1e8  #(s-1)
k30 =  103  #(M-1  s-1)
k31 =     63.5     #(s-1)
k32 =     1.5e7     #(M-1  s-1)
k33 =  9e5  #( s-1)
k34 =  3.6e-4  #(M-1  s-1)
k35 =  3.2e8  #( s-1)
k36 =  1.1e-4  #(M-1  s-1)
k37 =     5e7     #(M-1  s-1)
k38 =     1.5e3     #(M-1  s-1)
k39 =     7.1e3     #(M-1  s-1)
k40 =     4.9e2     #(M-1  s-1)
k41 =     7.1e3     #(M-1  s-1)
k42 =     2.3e2     #(M-1  s-1)
Total =     IIa+1.2*mIIa     #
t(0)=0
TF(0)=25e-12
VII(0)=1e-8
TFVII(0)=0
VIIa(0)=1e-10
TFVIIa(0)=0
Xa(0)=0
IIa(0)=0
X(0)=1.6e-7
TFVIIaX(0)=0
TFVIIaXa(0)=0
IX(0)=9e-8
TFVIIaIX(0)=0
IXa(0)=0
II(0)=1.4e-6
VIII(0)=0.7e-9
VIIIa(0)=0
IXaVIIIa(0)=0
IXaVIIIaX(0)=0
VIIIa1L(0)=0
VIIIa2(0)=0
V(0)=2e-8
Va(0)=0
XaVa(0)=0
XaVaII(0)=0
mIIa(0)=0
TFPI(0)=2.5E-9
XaTFPI(0)=0
TFVIIaXaTFPI(0)=0
ATIII(0)=3.4E-6
XaATIII(0)=0
mIIaATIII(0)=0
IXaATIII(0)=0
TFVIIIaATIII(0)=0
IIaATIII(0)=0
t(f)=700