what is the equation for dx/dt for sampling during infusion? after integration what is the equation then?
dx/dt= Q -kx
Q- infusion flow rate
k- elimination rate constant
after integration
X= Q/k (1-e^-kt)
X is influenced by infusion rate, elimination rate constant, duration of infusion
what is the equation for plasma conc.? what is this influenced by?
Cp= Q/Vk(1-e^-kt) Cp is influenced by: - infusion rate - elimination rate constant - Vd - clearance - infusion duration
what is the equation of the clearance?
clearance = Vd x k
what is the plasma conc at steady called? and what is the equation? when is this reached?
the plasma conc. is Css and is reached when time = infinity
Css x Vk = Q
if a drug has a short or long half-life how long will it take to reach the steady state?
a long half-life means it may take days to reach Steady-state
a short half-life means it may take hours to reach steady state
which type of dosing allows the therapeutic window to be reached?
frequent small doses will allow this
a continuous infusion allows this as well but at some point the plasma drug conc. will plateau so only a certain amount of drug will be present
infrequent large doses means a rapid drug conc. is reached quickly before it decreases quite steeply
how can we reach Css quickly?
loading dose + infusion
Xt= Q/Vk (1-e^-kt) + X0e^-kt Cpt= Q/Vk(1-e^-kt) + (D2/V)e-kt
what is Wagners method?
allow high infusion rate for t=t1/2 intially
at t=t1/2 Q is changed to a slower rate
what are IV administration advantages?
100% bioavailability
no first-pass metabolism
direct to blood circulation
no absorption phase
what does the initial conc. will depend on?
what is Vd affected by and what’s it used to estimate?
affected by physico-chemical properties of the drug
- lipophilicty
- binding to proteins
used to estimate blood conc./decide on loading dose
if the Vd is LARGE?
having a high plasma level means for Vd?
a low Vd
what is the equation for Cp(0)?
Cp(0)= dose/Vd
equation for plasma conc.- time curve?
C= Coe^-kt
what happens if there is an increase in clearance?
what is the equation for total clearance?
total clearance (CLtotal)= Clrenal + Clhepatic + Clother
Cltotal= kel x Vd units is L/time^-1
what is t1/2?
it is the time for Co to be 50% of Co
what is the equation for t1/2?
t1/2 = ln2/k t1/2= ln2/(Cltotal/Vd) t1/2= (ln2 x Vd)/Cltotal
how to find initial plasma conc.?
Co= D/Vd
D= loading dose
with multiple injections, what type of order is it?
it is first order kinetics
it has one compartment system; distribution phase is negligible
what can you do to keep the plasma conc. within the therapeutic window?
change the dose
add a dosing interval or change it
how would you calculate the loading dose?
LD = Vd x Css
if you increase loading dose, what happens to to concentration?
it will increase