parental administrations Flashcards
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?
- the dose; increase initial dose increases in initial conc.
- the volume of distribution
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?
- distribution is important
- > drug will leave systemic circulation to go elsewhere in the body
- plasma conc. is low
- longer half-life for elimination; increase in Vd will increase t1/2
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?
- faster rate of elimination
- faster decline in plasma conc.
- shorter half-life
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