BMS 123 · Common Core (Tronc commun)Section 6.5 · Dose–response, interactions and variability
Section 27 of 27
Combined effects and variability
Distinguish addition, potentiation and synergism, and list the factors that make the dose needed for benefit differ between patients.
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Why this matters
Two drugs given together can do more than either alone, and the arithmetic matters: addition predicts a sum, potentiation means one drug amplifies the other, and synergism produces more than the sum. At the same time, the person receiving the drugs is not an average patient. Age, weight, genes, disease, diet and adherence all move the individual along the dose axis. This section is where the mathematics of combination meets the reality of variability, and it is the reason prescribing is individualised rather than copied.
What you need to know first
You need the four types of antagonism from Unit 6.4 and the idea of Emax from Unit 6.1. The factors listed here connect to metabolism (Unit 3.4), excretion (Unit 4.2) and distribution (Unit 2.4), but each is reintroduced in plain words.
Words to know (5)
Addition (summation)
Two drugs with the same mechanism of action produce a combined effect equal to the sum of their individual effects. Two analgesics of the same class give the effect of both doses added together.
Potentiation
One drug increases the effect of another, so a drug that has little effect alone makes the second drug act more strongly. A drug that blocks the elimination of another raises its concentration and its effect.
Synergism
The combined effect of two drugs acting together is greater than the sum of their individual effects. Two antibiotics attacking different bacterial targets can kill more organisms than the sum of their separate effects.
Inter-individual variability
The differences between people that make the dose needed for benefit with minimal harm different from one patient to another. The same standard dose may undertreat one patient and poison another.
Tolerance
A reduced response to a drug after repeated exposure, so a larger dose is needed for the original effect. A patient who has taken a sedative for weeks may need more of it to obtain the same sedation.
One idea at a timeIdea 1 / 4
In one sentence Addition gives the sum of two effects (1 + 1 = 2), potentiation means one drug amplifies the other (0 + 1 = 2), and synergism gives more than the sum (1 + 1 = 3).
Three ways two drugs can add up
Alongside antagonistic effects that may reduce the efficacy of drugs, some drug–drug interactions are qualified as additive, potentiating or synergistic. Addition (summation) describes two drugs with the same mechanism of action whose combined effect equals the added sum of both (1 + 1 = 2). Potentiation describes one drug increasing the effect of the other, written 0 + 1 = 2 because the first drug may have little effect on its own. Synergism describes the combined effect of two drugs acting simultaneously being greater than the sum of their individual effects (1 + 1 = 3). The three labels are not moral judgements: addition can be dangerous when both drugs are sedatives, and synergism can be exactly what a treatment plan wants when two antibiotics attack a resistant organism at different points.
For example
Two analgesics of the same class act additively. A drug that blocks the metabolism of another potentiates it. Two antituberculous drugs attacking different steps of the same pathway may act synergistically.
Think of it like
Two drugs combining are like two instruments in the same room: addition is two violins playing the same note, potentiation is one instrument making another audible, and synergism is two notes forming a chord richer than either alone. The comparison has a limit, because this is arithmetic, not judgement — the extra effect may be the aim of treatment or the cause of harm.
Pause and check yourself
Two drugs are combined and the effect equals exactly the sum of their separate effects. Which term applies?
Show the answer
Addition, or summation, typical of two drugs with the same mechanism of action. Potentiation would mean one drug amplified the other and synergism would mean the combination exceeded the sum.
Read detailed explanations
How combination effects are measured rather than assumed
Calling a combination additive, potentiating or synergistic should be a measurement, not an impression. The classical method is the isobologram. Each drug is tested alone and a dose–effect curve is drawn; then a fixed combination is tested, and the pair of doses that produces a chosen effect level is plotted as a point on a graph whose axes are the doses of the two drugs. If the point lies on the straight line joining the two individual effective doses, the combination is additive. If it lies below and to the left of that line, a smaller total dose than expected was needed, which is synergism; if it lies above and to the right, more drug was needed than the parts predicted, which is antagonism or sub-additivity. A related calculation uses the combination index, which expresses how far the experimental point deviates from the additive line, and is widely used in anticancer drug development to find pairs worth taking forward. Two cautions belong with the method. First, the answer depends on the effect level chosen: a pair can be synergistic at low effect levels and additive at high ones, because the curves have different shapes. Second, synergy for the desired effect does not imply safety; the same pair may be synergistic for toxicity, and a combination that is more potent must be examined for its margin as well as its power. In the clinic the tool is rarely a formal isobologram; it is the same logic applied plainly, by asking whether the second drug added something the first could not achieve, or merely a second version of the same effect.
Where variability comes from, quantitatively
It helps to separate variability into two kinds, because they call for different responses. Pharmacokinetic variability changes the concentration of drug that reaches the receptors: differences in absorption, in the volume of distribution, in metabolism and in excretion. A patient with renal failure accumulates a renally cleared drug; a patient with a larger fat mass stores more of a lipophilic drug; a fast or slow metaboliser, determined by inherited enzyme variants, clears the same dose at very different rates. Here the response can often be predicted from a measurement — a plasma concentration, a creatinine value, a body weight — which is why therapeutic drug monitoring exists for drugs with a narrow index and a clear relationship between concentration and effect. Pharmacodynamic variability changes how strongly the tissue answers to the same concentration: differences in receptor number or sensitivity, in the efficiency of the signal that follows receptor activation, in age-related change and in the presence of disease. This kind is harder to see because there may be no concentration to measure, which is why clinicians monitor the effect itself — blood pressure, blood glucose, pain score — instead. Two further sources straddle the two categories. Tolerance develops with repeated exposure and shifts the curve to the right, so the same concentration produces less effect. Adherence changes the average concentration actually achieved, sometimes in a way that looks like resistance to treatment. Recognising which kind of variability is at work matters because it decides the corrective action: if the concentration is wrong, adjust the dose; if the tissue response is wrong, the drug or the target must change.
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Addition, potentiation and synergism
Three ways two drugs can combine without either blocking the other: the effects add up, one drug boosts the other, or the combination exceeds what either could do alone.
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01 / 4Addition (summation)
If the drawing is wider than this panel, scroll it sideways. Labels stay readable; the numbered explanations below show the same ideas.
Addition (summation)
Two drugs that act by the same mechanism are given together and the patient receives the sum of their effects. Combining two analgesics of the same class, or two diuretics acting on the same segment of the nephron, gives no surprise — but it can double a toxic effect as easily as a useful one.
Schematic, not to scale. The diagrams show the logic of each combination, not measured effect sizes; in practice the size of the combined effect is read from dose–response experiments on the tissue or the population studied.
Key points to remember
✓Addition (1 + 1 = 2) describes two drugs of the same mechanism whose effects sum; potentiation (0 + 1 = 2) one drug increasing the other’s effect.
✓Synergism (1 + 1 = 3) means the combined effect exceeds the sum, which can be sought deliberately in antimicrobial or anticancer combinations.
✓These three terms describe arithmetic, not benefit: the excess effect may be therapeutic or harmful.
✓The consequence is individualised dosing with monitoring rather than a fixed dose, because a standard dose is an average, not a guarantee.
Go deeper
Worked example
Planning around one patient’s variability. An older patient with reduced kidney function is started on two medicines: a drug eliminated mainly by the kidney, and a second drug that is metabolised by an enzyme that the first drug inhibits. The patient also reports taking a herbal preparation and sometimes missing doses. Explain how the combination should be assessed.
Separate the combination arithmetic from the patient factors. First ask how the two drugs combine — additive, potentiating or synergistic — because that tells you what the pair does to the effect; then ask what this patient does to the drug concentrations.
Apply the pharmacokinetic factor: reduced kidney function slows the elimination of the first drug, so its concentration rises; that is variability in the patient, not in the drug.
Add the interaction on top: if the first drug inhibits the enzyme that clears the second, the second also accumulates. This is potentiation by metabolism, and its size depends on the concentration of the inhibitor, which is itself raised by the renal problem.
Account for the herbal preparation and the missed doses. A plant product may induce or inhibit the same enzymes, and irregular intake makes the measured effect reflect adherence as much as pharmacology, so an apparent loss of effect may not mean the dose is too low.
Decide the plan in terms of monitoring rather than a single number. Choose an effect that can be measured, review the combination with the narrowest margin first, and adjust the dose against the measured response instead of assuming the average patient’s dose will fit.
Combined effects and variability act together: the pair sets what happens when both drugs are present, and the patient sets how much of each is present and how strongly the tissue answers. Individualised dosing is the practical answer to both.
Common misconception
Beginners often believe the standard dose printed in a formulary is the correct dose, and that any adjustment is a specialist matter. A standard dose is an average derived from a population; variability means that for many patients it is a reasonable starting point that still needs review. The opposite error is also common: adjusting the dose freely without a measurable effect to guide the change.
Check your reasoning
A patient says: “My neighbour takes the same medicine and the same dose, so why should mine be different?” Answer using the vocabulary of combined effects and variability.
Reveal an answer
Because the same milligram amount meets two different bodies. The neighbour may differ in age, weight, kidney and liver function, genes, diet, other medicines and adherence, and those factors change both the concentration that reaches the receptors and the strength of the response. The right dose is the one that gives this patient benefit with minimal harm, assessed by measuring the effect rather than by copying a number.
Where this comes from
BMS 123 General Pharmacology II lecture notes, Part 2 — Principles of Pharmacodynamics · Sections on additive, potentiating and synergistic interactions, and Factors modifying drug action
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About this course and its sources
Bilingual lessons organised from the supplied BMS 123 General Pharmacology II lecture notes (Principles of Pharmacokinetics and Principles of Pharmacodynamics). Diagrams are original educational schematics; pharmacology, nursing and French-language review are pending.