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4. Pharmacodynamics pt. I: Dose response & Drug Receptors
Dose response & Drug Receptors.
46
Nursing
Graduate
08/07/2012

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Term
Kd: Dissociation Constant
Definition
. Kd is also a measure of the affinity of a drug for either its receptor or plasma protein. It is the reciprocal of Ka and is expressed as moles/liter. Warfarin’s Kd value is 6.2 X 10-6 moles/L. That means that warfarin binds with such affinity to albumin that when 50% of the albumin receptors are occupied, there are only 6.2 X 10-6 unbound molecules in each liter of plasma.
Term
Ka: Association Constant
Definition
Ka is a measure of the affinity of a drug for its receptor or for albumin. It represents the concentration of unbound drug in the plasma when 50% of its receptors are occupied (these can be either cell surface or albumin receptors). Therefore, a drug that has a high Ka value has a greater affinity for its receptor or albumin than a drug that has a lower Ka value. Ka is expressed as liters/mole. EX: Warfarin 1.6X105L/mole, so need that much plasma to get one mole of unbound warfarin.
Term
low Kd = high Ka
Definition

Therefore the drug with the lower Kd value shows greater receptor specificity.

Term
Sterioisomers
Definition
Stereoisomers are molecules that share the same chemical structure, yet have different spatial orientations.
Term
Kd = k-1/k+1
Definition
Ka=  k+1/k-1
Term
log-dose response curves (LDR) 
Definition

.  A change of one log refers to a 10-fold change.  For example, a one-log increase in antibody titer could refer to an increase from 100 to 1000


101 à 102 (10 to 100).  A five-log increase from a value of ten can be expressed as

101 à 106 (10 to 1,000,000).

Term
Other advantages of LDRs... 
Definition
include (a) they are easier to analyze statistically, and (b) they produce parallel curves when drugs with the same mechanism of action, yet different potencies, are compared.
Term
LDR curves are: 
Definition

sigmoidal (S-shaped)


a.    The bottom part of the S spans the range of doses that produce little or no response. 

 

b.    The straight part of the S, also known as the linear portion, spans the range of doses where an increase in dosage produces an increase in response.  When the slope of the linear portion is steep, a small increase in the dosage produces a large increase in the response. 


A steep slope coupled with an undesirable response means that there is a narrow therapeutic index for that drug.

 

c.    The top part of the S spans the range of doses where the maximal effect is achieved.  In this region, increasing the dosage does not produce an increase in the response.  

Term
potency
Definition

Potency describes the relationship between dose and the magnitude of the response that it produces. 


Potency is generally expressed as either the dose or concentration necessary to produce 50% of a drug’s maximal effect.  

Term
ED50
Definition

When potency is expressed as a dose.


a dose that produces the desired effect in 50 per cent of a population.



Term
EC50
Definition

When potency is expressed as a concentration (plasma)


a dose that produces the desired effect in 50 per cent of a population

Term
efficacy
Definition
Efficacy is the maximum response that a drug is capable of producing. 
Term
If we plotted several drugs that had parallel dose response curves, potency would increase as we moved to the left, and it would decrease as we moved to the right.
Definition
Term
[image]
Definition
Drugs with 2 diff. doses, same action. Get same response with w/ 1/2 of drug A. 
Term
Quantal
Definition

occurred or didn't

"either or response"

Term
[image]
Definition

A - highest potency & lowest efficacy

B>C>D - potency

B/C/D - same efficacy

 

Term
[image]
Definition

N- has the lowest potency

L - greatest potency

M - lowest efficacy

L&N - same efficacy

 

Term
receptors
Definition

Drug receptors can be binding sites for endogenous ligands or they can be enzymes.  Examples of drugs that bind to receptors specific for endogenous ligands include atropine (binds to muscarinic receptors), cimetidine (binds to H2 receptors), and atenolol (binds to b1 receptors).  Examples of drugs that bind to enzymes include enalapril (binds to angiotensin converting enzyme), lovastatin (binds to HMG CoA reductase), and indinavir (binds to HIV protease).

Term
receptors are dynamic macromolecules
Definition
They can exist in one of two states: a resting state or an active state.  When a receptor exists in a resting state, the binding of a drug or ligand to it doesn’t produce a response.  Conversely, the binding of a drug or ligand to an active receptor does produce a response. 
Term
agonists
Definition
Drugs that bind to active receptors and produce a biological response 
Term
Full agonists
Definition

are capable of producing the maximal response for that cell or tissue when all of the active receptors are occupied.


When a drug binds to a receptor it activates the machinery of that cell, that same way a natural ligand does.

Term
Partial agonists
Definition
Some drugs bind equally well to both the active and resting receptors.  These drugs are called partial agonists and they are capable of producing biological responses.  However, when all the receptors are occupied, partial agonists produce a lower response than full agonists because some of the occupied receptors are resting. 
Term
Antagonists -->competitive/non competitive
Definition
Binds to receptore, occupies it and prevents receptor from working. Ex: catecholamines can't bind to betat cells-->beta blocker. Don't activate. diff structure.
Term
Competitive antagonists
Definition

Same affinity for the receptor as the nautral ligand. The # of receptors determines which is more likely to bind. 

Ex: Narcan & morphine

Term

Non-competitive (irreversible) antagonist

Definition

Irreversible antagonists generally bind to the receptor via a covalent bondA covalent bond occurs when two molecules share an electron.  It is the strongest known bond and is less reversible than other bonds.


LDR shifts to the R, decreases potency

Term
Therapeutic Index
Definition

Td50/Ed50

 

The higher the therapeutic index the farther apart, more likely NOT to get toxic effect.

Term
[image]
Definition

Drug B:Td50/Ed50 = 1,000/100 = 10 (thera index)

 

Drug A: Td50/Ed50 = 10/0.1 = 100 (thera index)

 

B is a safer drug than A. 

 

THERA INDEX NOT ALWAYS ACCURATE TO JUDGE SAFER DRUG

 

Term
Racemic
Definition

Mix of active/inactive isomers

 

With racemic mixture, more likely to have side effects.

Term
Sterio-isomer
Definition

Same chemical structures, different orientation.

 

Ex: Darvon & Novrad

 

One of a set of isomers whose molecules have the same atoms bonded to each other but differ in the way these atoms are arranged in space.


Darvon and Novrad are mirror images of each other. Consequently, they bind to different receptors and have different actions (darvon is an analgesic, novrad is an anti-tussive). They both are racemic mixtures of both drugs. 

Term
Enantiomer
Definition

Mirror image of sterioisomers


CHIRAL


an enantiomer is one of two stereoisomers that are mirror images of each other that are "non-superposable" (not identical), much as one's left and righthands are "the same" but opposite.



Term
[image]
Definition
Receptors can either be active or inactive. Without ligand, many ininactive state.
Term
[image]
Definition
Ex of full/partial agonist
Term
[image]
Definition

*agonist+competitive antagonist=curve shifts to the R.

*Can overcome competitive antag. with more agonist.

 

Agonist & competitive antagonist given:

-LDR curve shifts to the R so potency decreases.

-Need increased dose to achieve same efficacy

-If increased dose of agonist, will eventually take over agonist receptors

-most drugs dont irreversibly bind to receptors.

Term
[image]
Definition
Term
[image]
Definition
If giving increasing agonist, cannot overcome competitive antagonist. Does not come off receptors.
Term
[image]
Definition
Increasing Ka forms covalent bonds. Irreversible, LDR shifts to the R (decreases potency & decreases efficacy). 
Term
[image]
Definition

Same affinity for the receptor as the natural ligand. The # of molecules determines which is more likely to bind. 

Ex: narcan & morphine.

Term
[image]
Definition

*competitive antag - decreases potency, shifts LDR to the R. Same efficacy, Just need more drug

 

*Non-competitive antag - shift curve to R & lowers, decreases potency & decreases efficacy.

 

1st line-agonist

2nd line-comp antag

4th line-non-comp. antag.

in this pict, have non-competitive irreversible antagonist. Have spare recepters. Get max response w/ only a few receptors.

Term
spare receptors
Definition

means that sometimes we have more receptors present than are needed to produce a maximal effect.  The receptors that aren’t occupied when the maximal effect is achieved are considered to be "spare".

We can demonstrate the existence of spare receptors by administering an irreversible antagonist with an agonist and plotting the LDR for the agonist.  The agonist LDR curve that is obtained when the antagonist is co-administered will be parallel and to the right of the curve obtained when the agonist is given alone.  This means that a higher concentration of agonist is needed to produce the same response, because some of the receptors are occupied by the antagonist.  However, the height of the curve will be the same because the receptors that are not occupied by the antagonist are still in excess of the number needed to produce the maximal response.

 

 “spare”.

Term
Spare Receptors cont.
Definition

Let’s suppose that full agonist A occupies one receptor per mg of drug and the maximal effect is achieved when 10 mg of agonist A is given (hence 10 receptors are occupied).  If we give greater than 10 mg of agonist A, no further increase in response is produced.  Intuitively, we would think that this means that there are only 10 receptors to begin with.  After all, if we gave 15 mg, we would occupy 15 receptors and observe a greater response than when we gave 10 mg (and occupied 10 receptors).  We can show that this is not the case by first giving an irreversible antagonist.  Let’s suppose that 10 mg of irreversible antagonist B will occupy 10 receptors.  If we give irreversible antagonist B followed by agonist A, we would expect to observe no response, because all of the receptors are occupied.  However, this is not what we find.  When we give agonist A at a higher concentration, we can achieve the same response that we observed when we occupied 10 receptors (the maximal response).  This is because we have more than 10 receptors.  These additional receptors are the “spare receptors.” 

Term
More spare receptors...
Definition

“the existence of spare receptors can be seen in many tissues and means that the Kd measured for an agonist will be higher than the EC50 for the same ligand” (Kalant, 2000).  Let’s look at what this statement means.  You’ll remember that Kd is the plasma concentration of a drug (expressed as moles/liter) when 50% of the drug’s receptors are occupied.  EC50 is the plasma concentration of drug necessary to produce 50% of the drug’s maximal effect.  If a drug’s EC50 is less than its Kd, we know that the drug can produce 50% of its maximal effects while occupying less than 50% of its receptors.  To illustrate, consider a drug with an EC50 value of 1 mole/liter and a Kd value of 2 moles/liter.  This drug can produce 50% of its maximal effect at a concentration that is one-half the concentration necessary to occupy 50% of the receptors.  This indicates that the number of receptors present exceeds the number needed to produce the maximal effect. 

Term
If EC50 is less than Kd  (EC50<Kd), then ...
Definition
If EC50 is less than Kd  (EC50<Kd), then this would represent spare receptors correct? This is because the plasma concentration of the drug can produce 50% maximal effect with occupying less than 50% of its receptors. 
This would then represent that there are spare receptors. 
Term
Effective doses
Definition

refer to quantal responses, rather than graded responses.  This can be a bit confusing because the term “ED50” is used to describe both graded and quantal effects.  The difference is that when ED50 is used to describe graded effects, it refers to the dosage that produces 50% of a drug’s maximal effect.  When ED50 is used to describe quantal effects, it refers to the dosage that produces the desired effect in 50% of patients.  You need to know how the response is measured in order to know whether ED50 refers to quantal or graded responses.  However, when the term effective dose is used (not ED50), it refers to quantal responses.  

Term
Graded
Definition
% response
Term
, “Therapeutic Index” 
Definition

The therapeutic index is the ratio of the TD50 (the dose that produces a toxic effect in 50% of patients) to the ED50 (the dose that produces a desired effect in 50% of patients).  The larger the gap between a drug’s TD50 and its ED50, the higher its therapeutic index.  When drugs are administered within their range of therapeutic doses, those that have a higher therapeutic index are less likely to produce toxic effects than those that have a lower therapeutic index. 

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