Pharmacokinetics week 1 Flashcards

1
Q

Define therapeutic drug monitoring and under what conditions it is used.

How is therapeutic index calculated?

A

Clinical testing and evaluation (therapeutic drug monitoring –TDM) is not used with all drugs, only those with a narrow therapeutic index (NTI), i.e. where the dosage for therapeutic effect and toxicity is close together. The main use of PK is predictive. Using PK principles one may predict plasma concentration at any future time and thereby achieve optimal dosing with minimal oversight.

Therapeutic index=TD50/ED50

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2
Q

minimum effective concentration

maximum effective concentration

maximum effect

therapeutic window

A

The minimum effective concentration is the concentration below which a drug is known to lack sufficient therapeutic benefit. The maximum effective concentration indicates the level above which is toxic or which the drug evokes no further response. This latter dose phenomenon is called a maximum effect; raising the dose beyond this level may not be toxic but there is no greater therapeutic value. The toxic concentration is greater than or equal to the maximum effective concentration. The area between the minimum and maximum effective concentrations is termed the therapeutic window. Levels below this window will result in lack of drug effect. Levels above this window may result in toxicity, but only if the toxic concentration is reached.

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3
Q

Explain how Vd is calculated.

A
  • Volume of distribution Vd
  • Size of an imaginary container that is required to account for the total amount of the drug in the body
  • Vd does not relate to a physiologic volume
  • Vd = amount of drug in the body/initial drug concentration

Vd = Ab/Co = F * dose/Co = mg/(mg/ml) = ml

Co = initial plasma concentration at time 0

Ab: amount of drug absorbed

F: bioavailability

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4
Q

Define the following parameters:

ka

Cmax

Tmax

A

Absorption rate depends on many factors such as dosage form, drug dissolution and gastric emptying time. The absorption rate constant (ka) is the fraction of the administered dose that leaves the site of administration per unit time. The larger the ka the faster the drug is absorbed. The time required for a drug to reach maximal blood concentration is termed Tmax. The concentration of drug in the blood at this time is termed Cmax.

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5
Q

How is absorption calculated?

A

Amount of drug absorbed = F * dose

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6
Q

What does it mean for an absorption rate to be zero order?

What are the units for absortion rate?

What type of administration demonstrates zero order absorption kinetics?

What is Ro?

A

Absorption rate

Zero Order:

  • Absorption rate is constant, in independent of amount of drug administered
  • ko
  • Mg/min or mg/ml/min
  • IntraVenous (IV) infusion demonstrates zero order absorption kinetics
    • Ro = rate of drug infusion in amount per unit time
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7
Q

What does it mean for absorption rate to be first order?

A

First Order

  • Absorption rate is proportional to the amount of drug present (ka)
  • Fraction of drug absorbed per unit of time
  • The larger the ka the faster the drug is absorbed
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8
Q

Explain and define zero order elimination rate.

What are the units for elimination of drugs?

What is the half life for drugs eliminated via this route? (constant or variable half life)

A

Zero Order

  • Amount of drug (A) eliminated at a constant rate
  • Rate of elimination is independent of plasma concetnration
  • Drugs with zero order elimination have no fixed half life (half life is variable) (Kaplan)
  • Concentration (C) eliminated at a constant rate
    • For example, a decline in serum concentration of 5 mg every hour
    • Units of rate of elimination = mg/hr or mg/ml/hr
  • examples of drugs with zero order elimination rates are phenytoin (at high thereapeutic doses) ethanol (except low blood levels), and salicylates aka aspirin (toxic doses) (Kaplan), theophylline
    • PEA (a pea is round, shaped like the 0 in zero order)
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9
Q

Explain and define first order elimination rate.

How is k (elmination consant) calculated for first order elimination drugs?

What is the half life for drugs eliminated via this route? (constant or variable half life)

A

First Order

  • Amount of drug (A) eliminated at a rate proportional to the amount of drug remaining
  • For concentrations, rate of elimination is proportional to concentration of drug (C)
  • k is a constant that relates the rate of drug elimination to the amount in the body at any time t

k = (rate of elimination) / (amount of drug in body)

mg/min//mg=1/min=min-1

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10
Q

Explain why some drugs are eliminated according to zero order kinetics and other first order kinetics.

A

Why drugs eliminate according to first order vs. zero order kinetics

  • most drug metabolism takes place in liver
  • each molecule binds to and is degraded and/or chemically modified by CYP enzymes
  • as more drug molecules are presented to liver, more bind to CYP enzymes and the rate of elimination increases (first order because rate of elimination is proportional to drug concentration)
  • rate of elimination increases with drug concentration until the CYP enzymes are all occupied (saturation) => zero order
  • molecular burden = # of drug molecules
  • Drugs that biotransform slowly cannot tolerate a high molecular burden => zero order
  • Drugs with low potency require a high dose => high molecular burden => zero order
  • Isoforms of CYP enzymes –> slow and fast metabolizers (isoniazid)
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11
Q

Explain how to calculate rate of elimination when clearance is known.

A

Rate of elimination (mg/min) = Cl (ml/min) * concentration (mg/ml)

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12
Q

Explain how clearance can be calculated using AUC and why.

Explain the calculations for AUC for IV doses with single compartment systems obeying first order elimination kinetics vs routes other than IV.

A

Since the total amount eliminated is the dose, total body clearance can also becalculated from the AUC.

Strictly speaking, the amount eliminated is the drug absorbed into systemic circulation, or F*dose. For simplicity, pharmacokinetic equations are often expressed for IV administration, where F=1.)

Cl = Dose/AUC = Mg/[(mg/(ml/min)] = ml/min

Clearance is a primary pharmacokinetic parameter along with the apparent volume

of distribution.

You do not need to know the half-life or Vd to calculate clearance.

AUC: The area under the plot of plasma concentration of drug vs. time after drug administration.

The AUC is of particular use in estimating bioavailability of drugs and in estimating total clearance of drugs (Cl). Following single intravenous doses, AUC = dose/Cl, for single compartment systems obeying first-order elimination kinetics. For routes other than the intravenous, AUC = F*(dose)/Cl where F is the bioavailability of the drug.

AUC = Dose/Cl = Mg / (ml /min)

F = AUCoral/AUCIV for same dose

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13
Q

What are the units of the rate constant for drug elimination?

A

Rate of drug elimination = k * (amt of drug in the body)

k = rate of drug elimination/ (amt. of drug in the body)

ie, k = the fractional rate of drug removal per unit time.

Units of k = Mg/min//mg = 1/min=min-1

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14
Q

Calculation for half life

Calculation for Ke (also define Ke)

A

t1/2 = 0.7 / ke = 0.7 *Vd/Cl

Ke=amount of drug eliminated per unit time

Ke= Cl/Vd

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15
Q

Define steady state.

When is steady state assumed to be reached?

How is steady state calculated?

What is the plateu principle?

After the last dose of a drug, how log does it take for a drug to be considered eliminated from the body?

A

Steady state: a condition of equilibrium in which the rate of administration equals the rate of elimination. We may assume that steady-state is reached after 5 half-lives of the drug have elapsed.

% of steady state achieved = 100 x [( 1-(1/2)n] where n = number of half-lives elapsed.

The time to reach steady state (Css ) is independent of the dose or the route of administration. The plateau principal states the time required to reach steady state is solely dependent on the half-life (t1⁄2). t1⁄2 is important because it determines the time to steady state during the continuous dosing of a drug. The approach to steady state serum concentration is an asymptotic. If a drug is administered on a continuous basis for 3 t 1⁄2, serum concentration are ~90% of Css values; on a continuous basis for 5 t 1⁄2, serum conjugations equal ~95% of Css values. Generally, drug serum concentrations used for PK monitoring can be safely measured after 3 – 5 estimated half lives because most drug assays have 5 – 10% measurement error.

Based on the same principle, after the last dose of the drug, it takes 5 half-lives for the drug to be considered eliminated from the system (in actuality, 1/32 of the initial amount of drug remains at this time.)

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16
Q

Drugs with a higher Ke have (shorter/longer) half lives) and reach stead state (faster/slower) than drugs with a lower Ke.

A

The time required to reach steady state may be predicted based on a drug’s half-life. Drugs with a higher comparative ke (shorter half-life) will reach steady state sooner than drugs with a lower ke (longer half-life). Drugs eliminated quicker reach steady state quicker because the time it takes for the rate of drug in to equal the rate of drug out is faster compared to drugs eliminated slowly.

17
Q

Define loading dose and maintenance dose. Under what circuumstances are they given?

Calculation for loading dose

A

When a continuous intravenous infusion (IV Drip / Infusion) of a drug is started, it takes approximately 5 half-lives to reach steady state. In some cases, an immediate drug response is required that cannot wait 5 half-lives. If a very large dose is given immediately, followed by smaller doses, the therapeutic concentration can be immediately achieved. This concentration can be maintained by following this with smaller doses. The initial dose is termed a “loading dose.” The subsequent smaller doses are termed “maintenance doses” (MD).

The loading dose may be defined as:

Loading dose = Css * Vd where Css is the desired steady state concentration and the loading dose is given as a bolus injection.

  • Units of loading dose = (mg/ml * ml)= mg
  • 5 half-lives required to reach steady state
  • Immediate drug response requires loading doses
  • Loading dose = Css desired * Vd / F
  • Amount in blood following loading dose
    • Css desired = F * Loading dose/Vd
18
Q

Maintenance dose calculation

A

For some drugs, maintenance of a specific blood concentration on a continuous is imperative to therapeutic success. Therefore, we can administer drugs at specific times on an ongoing basis to maintain adequate blood concentration.

Maintenance dose (bolus injection) = CL * Css * tau

  • administration at constant time intervals
  • The time between intervals is denoted by the Greek letter tau (Τ)
  • Maintenance dose = Cl * Css* Tau/F
  • Or Css = F * Maintenance dose/(Cl * Tau)

In multiple dosing, the second dose is given before the first dose is completely eliminated; therefore, the maximum concentration after the second dose is higher than the first. Patient compliance is greatest with once a day dosing. Ideally, Tau should be selected as a multiple of 24 hr so doses can be given daily. If the half-life is too short for this to be feasible, then tau should be a factor of 24 hr so that the drug can be taken roughly the same time each day.

19
Q

Rate of infusion calculation

What is the clincal diffrence btwn rate of infusion and maintenance doses?

A

Continuous infusion at equilibrium (CSS – steady state)

Rate of infusion = rate of elimination

Rate of infusion = Ro = mg/min

o For purposes of calculation, it is equivalent to a maintenance dose given over a dosing interval (tau)

Ro = (maintenance dose)/(Tau) = Css*Cl

Css = Ro/Cl

Clinical difference between infusion rate and maintenance doses is that maintenance dose yields a sawtoothing of concentration while concentration for infusion is more tightly controlled

Maintenance doses have more potential for toxicity (right after dose) or loss of effectiveness (right before next dose) in comparison to infusion

NOTE, units of the continuous infusion rate have the same units as the zero order rate constant (e.g. mg/min)

20
Q

Calculation for creatinine clearance

A

Muscle Mass (and thus creatinine production) is determined by:

1) Lean body weight (LBW)
2) Gender (females have less muscle/kg bodyweight)
3) Age (Elderly have less muscle/kg bodyweight)

CrCl= ((140-age) * LBW)/(72 * SrCr) for males

CrCl females = Clcr males * 0.85

For the purposes of this Lecture, one can use actual bodyweight (ABW) instead of finding LBW.

Clinically, it is only important to use LBW if the patient is significantly obese.

21
Q

Calculation for dosage adjustment for renal impairment

A

Calculation of Kidney Function (KF)

Individualized kidney function assessment based on a comparison of individual to “normal” kidney function

KF= Creatinine Cl (Impaired) / Creatinine Cl (Normal)

or

KF= (140-age)/(120*SrCr)

Normalize CrCl to a ~70 kg individual

Dosage adjustment for renal impairment

Dosage adjustment for renal impairment determined by associated reduction in clearance

For Renal Impairment, magnitude of impact on drug clearance depends on:

Degree of kidney dysfunction

Fraction of drug excreted unchanged in kidney (fe)

Change in drug clearance can be estimated by determining kidney function and fraction of drug excreted renally:

(Cl renally impaired) = [1- fe * (1-KF)]*(Cl normal)

Where fe = fraction of drug excreted unchanged in urine

fe vs. KF

  • fe is like what fraction of a given responsibility or job is given to the kidney
  • KF is like how well it does its assigned jobs.

– Determined by the relative “affinity” of the kidney for such a job

– Under normal (healthy) conditions, kidney can complete this job