Dose-Response Relationships

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DRC Basics & Curve Types - Dose Makes the Difference

  • Dose: Amount of drug. Response: Effect observed.
  • Dose-Response Relationship: Correlates dose with effect magnitude.
  • Graded Response:
    • Effect intensity varies with dose in an individual.
    • Example: Blood pressure change.
    • Curve: Hyperbolic (linear dose) or sigmoid (log dose).
  • Quantal Response:
    • All-or-none effect in a population (e.g., sleep/cure).
    • Shows frequency of response.
    • Curve: Typically sigmoid.
  • DRC Shapes (General):
    • Hyperbolic: Response vs. linear dose.
    • Sigmoid (S-shaped): Response vs. log dose; for $ED_{50}$, $E_{max}$ analysis.

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⭐ Graded dose-response curves depict the intensity of effect in an individual, while quantal curves show the frequency of response in a population.

Graded Dose-Response Curves - Efficacy vs. Might-acy

  • Graded DRCs plot drug effect (response) against dose or concentration.
  • Efficacy ($E_{max}$): Maximum effect a drug can produce. Represents the drug's maximal therapeutic potential. Higher $E_{max}$ = ↑ efficacy.
  • Potency ($EC_{50}$ or $ED_{50}$): Dose/concentration required to produce 50% of $E_{max}$. Lower $EC_{50}$/$ED_{50}$ = ↑ potency.
    • Primarily reflects drug-receptor binding affinity.
  • Slope of DRC: Indicates the range of doses over which response changes; steep slope = narrow therapeutic window.
  • 📌 Mnemonic: Potency = Position (on X-axis, Left is more potent); Efficacy = Effect (Max Y-axis value). Dose-response curves comparing efficacy and potency

⭐ Efficacy (maximum effect) is often clinically more important than potency (amount of drug needed for an effect).

Quantal DRCs & Drug Safety - Safety Numbers Game

  • Quantal DRCs: Dose vs. % population with all-or-none effect.
  • Key Metrics:
    • $ED_{50}$: Effective dose in 50% of population.
    • $TD_{50}$: Toxic dose in 50% of population.
    • $LD_{50}$: Lethal dose in 50% (animals).
  • Drug Safety Indices (Margin of Safety indicators):
    • Therapeutic Index ($TI$): $TI = \frac{TD_{50}}{ED_{50}}$ or $TI = \frac{LD_{50}}{ED_{50}}$.
      • 📌 TILE: Toxic Is Lethal / Effective.
      • Low $TI$ (narrow margin, requires monitoring): Warfarin, Lithium, Digoxin, Phenytoin, Theophylline.
      • 📌 "Warning: These Drugs Can Leak Poison".
    • Certain Safety Factor ($CSF$): $CSF = \frac{LD_1}{ED_{99}}$ (stricter; $LD_1$: lethal 1%, $ED_{99}$: effective 99%).

⭐ A higher Therapeutic Index indicates a wider margin of safety for a drug. Quantal dose-response curves: ED50, TD50, LD50

Receptor Interactions & Response Variation - Receptor Roulette

  • Agonists: Bind & activate receptors.
    • Full: Elicits maximal response ($E_{max}$); high intrinsic activity.
    • Partial: Submaximal response; lower intrinsic activity. Can act as antagonist with full agonist.
    • Inverse: Opposite effect to agonist; reduces basal receptor activity.
  • Antagonists: Bind receptors, block agonist. 📌 Competitive Right-shifts $EC_{50}$ ($E_{max}$ same); Non-competitive Lowers $E_{max}$ (NCLM).
    Type$EC_{50}$$E_{max}$Overcome by ↑ Agonist?Site of Action
    Competitive (Reversible)↑ (Right shift)UnchangedYesActive
    Non-competitiveUnchanged/↑↓ (Down shift)NoAllosteric/Active
    IrreversibleUnchanged/↑↓ (Down shift)No (covalent bond)Active

    ⭐ Competitive antagonists increase $EC_{50}$ (shift DRC right) but do not change $E_{max}$, while non-competitive antagonists decrease $E_{max}$ and may or may not change $EC_{50}$.

  • Response Variation:
    • Spare Receptors: $E_{max}$ achieved with fractional receptor occupancy (e.g., insulin).
    • Tachyphylaxis: Rapid ↓ drug response on repeated dosing (acute tolerance; e.g., ephedrine).
    • Tolerance: Gradual ↓ drug effectiveness with chronic use.
    • Desensitization: ↓ Receptor responsiveness (e.g., downregulation, uncoupling).
    • Idiosyncrasy: Genetically determined abnormal drug reaction (e.g., G6PD deficiency).

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High‑Yield Points - ⚡ Biggest Takeaways

  • Graded Dose-Response Curves (DRCs) relate drug dose to effect intensity.
  • Efficacy (Emax) is the maximum possible effect a drug can produce.
  • Potency (ED50): dose for 50% of Emax; lower ED50 means higher potency.
  • Quantal DRCs show population response (all-or-none) to varying doses.
  • Therapeutic Index (TI) = TD50/ED50; a wider TI indicates greater drug safety.
  • Spare receptors allow Emax with submaximal receptor occupancy.

Practice Questions: Dose-Response Relationships

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What does ED50 measure in pharmacology?

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Flashcards: Dose-Response Relationships

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The time taken for the _____ of the drug to be equal to the drug elimination(clearance x concentration) rate is the _____ concentration of the drug.

TAP TO REVEAL ANSWER

The time taken for the _____ of the drug to be equal to the drug elimination(clearance x concentration) rate is the _____ concentration of the drug.

bioavailability; steady-state

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