The formula to calculate the Apnea Hypopnea Index (AHI) is:
\[ \text{AHI} = \frac{\text{A} + \text{H}}{\text{T}} \]
Where:
The Apnea Hypopnea Index (AHI) is a standard tool used to measure the severity of sleep apnea. It calculates the average number of times per hour of sleep that a person’s breathing stops (apnea) or becomes dangerously shallow (hypopnea). A higher AHI indicates more severe sleep apnea, with a score of 5-15 indicating mild sleep apnea, 15-30 indicating moderate sleep apnea, and a score over 30 indicating severe sleep apnea.
Let's consider an example:
Using the formula to calculate the Apnea Hypopnea Index:
\[ \text{AHI} = \frac{30 + 20}{8} = \frac{50}{8} = 6.25 \, \text{events per hour} \]
This demonstrates that with 30 apnea events, 20 hypopnea events, and a total sleep time of 8 hours, the AHI would be 6.25 events per hour, indicating mild sleep apnea.