Week 4 - Pharmacokinetics Continued Flashcards
How do drugs induce metabolism?
The drug will interact with another receptor (usually in nucleus) and then thee receptor tranduces a signal to upregulate transcription of certain metabolitic enzymes
Upregulation of metabolism actually will increase the metabolism of the drug!
What is the free plasma drug concentration determined by?
- Rate of absorption
- Volume of Distribution
- Rate of Elimination
Concentration vs Time Plot

Zero Order Kinetics
and
First order kinetics
Zero order kinetics
- Rate is constant (e.g., 10 µg/hr)
First order kinetics
- Rate changes with and is proportional to drug concentration
Zero Order Elimination
- A common cause: saturation of a rate-limiting enzyme pathway at high substrate concentrations
Alcohol in blood is a good example of this… Linear decline**

First Order Kinetics*
This is most common***
- The rate is proportional to concentration
- Constant fraction of drug absorbed or eliminated per unit time
Passive diffusion is first order - and also the primary way drugs get into body
Distribution (chemical distribution in blood) is first order, concentration of drug in blood, it it is high it will deliver more drug, if concentration is low hyou will deliver less drug.
First Order Elimination Plot
GIve pt bolus of a drug, what does drug conc. X time look like?

First order elimination plot - log transformed
Alpha phase - distributional phase, out of plasma into tissues
In a realitively short amount of time a equilibrium is reached, this transitions into elimination phase.
Beta phase - elimination phase - rate is now determined by metabolism of drug (secretion)
The alpha phase (it is quick) can be ignored (for many drugs) and get a nice slope from elimination phase.
Co is theoretical concentration at time = 0
X is concentration
so Vd = X / Co
This is a great way to model drugs!

Half Life, t1/2
Time it takes for half of the drug to be eliminated from system.
Can be extrapolated from the log tranformed drug concentration vs time
First Order Elimination Mathematics
Rate is propotional to the negative of KeCt
Ke is 1/time - elimination rate constant
Slope = -(Ke/2.3)**
Know above.
This allows us to deterimine what the elimination rate constant is if we KNOW THE SLOPE.
Questions on this most likely.
Look at graph, calc slope, and find elimination rate constant**

Deriving the half life…
So half life is
t1/2 = 0,693/Ke
This is an inverse relationship
If elimination rate goes up, half life decreases*
If elimination rate goes down (slower to get out of body), half life goes up*

Derivation of Whole Body Clearance (Cl)
So elimination rate constant Ke
Ke = Cl / Vd **
Remember:
Vd = Total drug Conc / Plasma conc of drug
Vd = Ct / Cp
Ke = Cl (Cp) / Ct
This is how we think about kinetics, how to calculate dosing, how to figure out what problems are…

What is Clearance? (Cl)
assume that Cl adn Vd are defined with respect to Cp
How is it related to half life?
It is the volume of plasma that you would have to clear of drug in a unit of time (e.g., L/h) to account for observed elimination from the body
As with VD you can normalize to body wt. (e.g., L/h/kg)
t 1/2 = 0.693 (Vd / Cl) **

Cl and VD, why bother?
- ●Basis for rational design of drug dosing
protocols - Allows for physiological interpretation of
“solved” values- e.g., Cl close to GFR or VD close to the extracellular fluid volume
- Allows for mechanistic interpretation of observed kinetics in clinical practice
- e.g., if t1/2 is >> than expected you can look to Cl and VD for an explanation
Consider pt given bolus of IV dose of a drug, 1st order elimination kinetics. Lineaar extrapolation of log transofmred concentration vs time. Can calculate what?
apparent volume of distribution (Vd)
elimination rate constant (Ke)
Plama half life
Steaty state concntration
duration of distribution alpha phase
A - apparent volume of distribution (Vd)
Vc is 50 L
the elimination rate constant is 0.1/hr what is the whole body clearance?
D - 5.0 L/hr
Patient Dosing
Continuous Infusion
Periodic administration of a fixed dose (oral)
Plateau Principal (steady state)
Drug Input = Drug Ouput
At first the concentration would go up quickley but then the rate of infusion would match the rate of elimination - steady state.
Then if infusion is stopped.. Concentration will decrase quiclly
Rule of Thumb - during distribution and elimination phase, you will reach 93% of the steaty state (or elimination) in about 4 half lives*****
True for periodic oral dosing as well

What is a rule of thumb in drug dosing?***
Rule of Thumb - during distribution and elimination phase, you will reach 93% of the steaty state (or elimination) in about 4 half lives*****
Total drug vs Time plots
Ki - infusion rate
Ke - elimination rate
Xmax - Maximum plasma concentration of drug
Xmax = 1.44 Ki (t1/2) ***
Max conentration is directly proportional to Infusion rate and half life
If double infusion rate, the max conc will also double
The bar on the plot is the 4 half life rule (93% or max conc)

How does the elimination constant effect drug concnetration vs time and max concentration
By changing elimination constant, will get 93% of xmax in different ammounts of time
Max concentration is proportional to how fast the drug is eliminated…

Defining Steady State concentration
Css = Ki / Cl********
Most important equaiont
Concentration at steady state is proportional to the infusiton rate and inversly proportional to the clearance
So, if know clearance in an individual, and want to have a certain concentration in body can CALCULATE the infusion rate for the IV pump!

Now for periodic oral dosing…
Red line is constant infusion
Periodic oral dose is the blue line
Recognize that it is the same dosing rate*
If dosing interval is substantially larger than half life, the drug concentration fluctuates a lot but average concentration is the same (80 u/hr)
So pt may not be getting an effective dose periodically OR they may be getting a toxic dose of the drug periodically..
4 half life rule still applies***

What is the maintenance dose?
Maintenance dose = oral dose that will produce
the desired therapeutic level at steady state
= the amount that must be administered at plateau to replace drug that has been lost during the previous dosing interval
= the dosing rate (e.g., U/hr) that achieves the desired level of effect x the dosing interval (hr)/f**
where f is the fractional bioavailability - must account for fact that less than 100% of oral drug is getting into the system (some is extreted by gut) - so might have to double the dosage of an IV where you dont have to worry about losing part of the chemical in the GI tract…











