If the toxic dose of Drug A is 10 mg/kg, and the dose that a clinician intends to use is 2.5 mg/kg, what is the therapeutic index of this drug?
If the toxic dose of Drug A is 10 mg/kg, and the dose that a clinician intends to use is 2.5 mg/kg, what is the therapeutic index of this drug?
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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![**Calculating the Therapeutic Index of Drug A**
To determine the therapeutic index of Drug A, we need to understand two critical pieces of information:
1. **Toxic Dose (TD₅₀)**: This is the dose at which the drug becomes toxic to 50% of the population. For Drug A, the toxic dose is 10 mg/kg.
2. **Effective Dose (ED₅₀)**: This is the dose that produces a therapeutic effect in 50% of the population. For Drug A, the clinician intends to use a dose of 2.5 mg/kg.
**Formula for Therapeutic Index:**
\[
\text{Therapeutic Index (TI)} = \frac{\text{Toxic Dose (TD₅₀)}}{\text{Effective Dose (ED₅₀)}}
\]
By substituting the given values:
\[
\text{Therapeutic Index of Drug A} = \frac{10\ \text{mg/kg}}{2.5\ \text{mg/kg}} = 4
\]
Therefore, the therapeutic index of Drug A is **4**. This means that the toxic dose is four times higher than the effective dose, which can give us an indication of the relative safety of the drug in clinical use.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F538e1451-6592-405f-a165-407010038dba%2F7c274c78-d36b-4587-ab55-33bab82dbcfa%2Ffijq7c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculating the Therapeutic Index of Drug A**
To determine the therapeutic index of Drug A, we need to understand two critical pieces of information:
1. **Toxic Dose (TD₅₀)**: This is the dose at which the drug becomes toxic to 50% of the population. For Drug A, the toxic dose is 10 mg/kg.
2. **Effective Dose (ED₅₀)**: This is the dose that produces a therapeutic effect in 50% of the population. For Drug A, the clinician intends to use a dose of 2.5 mg/kg.
**Formula for Therapeutic Index:**
\[
\text{Therapeutic Index (TI)} = \frac{\text{Toxic Dose (TD₅₀)}}{\text{Effective Dose (ED₅₀)}}
\]
By substituting the given values:
\[
\text{Therapeutic Index of Drug A} = \frac{10\ \text{mg/kg}}{2.5\ \text{mg/kg}} = 4
\]
Therefore, the therapeutic index of Drug A is **4**. This means that the toxic dose is four times higher than the effective dose, which can give us an indication of the relative safety of the drug in clinical use.
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