Differential Equations
The concentration of venom in the bite compartment:
d(Cvt)/d(t) = -Ktb*Cvt
The concentration of venom in the blood
d(Cvb)/d(t) = .1*Ktb*Cvt - Kel*Cvb -krec*Cvb*Ca
The concentration of Factor X in the blood
d(Cx)/d(t) = -r1 +.0001*(170-Cx)
The concentration of activated complex XA in the blood
d(Cxa)/d(t) = r1-r2
The Concentration of Fibrin in the blood
d(Cf)/d(t) = r3
The concentration of Fibrinogen in the bllod
d(Cfib)/d(t) = 3 -kfib*Cxa*Cfib
The fraction of free sites in the kidneys
d(fs)/d(t) = -kdep*Cf*fs
The Concentration of antivenom in the blood
d(Ca)/d(t) = -krec*Cvb*Ca -Kela*Ca
The concentration of urea in the blood
d(Cu)/d(t) = .035 - .014*fs*Cu
the concentration of FDP in the blood
d(Cfdp)/d(t) = 1.155*Cf -.001*Cfdp
Explicit Equations
r1 = kx* Cx*Cvb
r2 = kixa*Cxa
r3 = .006*kfib*Cxa*Cfib - kdep*Cf*fs - kfdp*Cfdp*Cf
Kel = .14 min-1
kx = .002
kixa = 4.5
kfdp = .0000005 nmol/l*min
kfib = .18 nmol/l*min
kdep = .00015
Kbt = .029 min-1
Ktb = .01 min-1
Fibrinogen = Cfib*(10^(-9))*340000
Venom = Cvb*105 mg
krec = .1 nmol/l*min
Kela = .006 min-1
Urea = Cu*6 mg/dl
Fdp = Cfdp*.1 ug/ml