The mathematical relationship is expressed by the formula:
Heart Rate (HR) is primarily regulated by the autonomic nervous system; sympathetic stimulation increases HR, while parasympathetic stimulation decreases it.
Stroke Volume (SV) is the difference between the volume of blood in the ventricle at the end of filling (End-Diastolic Volume, EDV) and the volume remaining after contraction (End-Systolic Volume, ESV).
The formula for Stroke Volume is:
To calculate Cardiac Output, one must first determine the duration of a single cardiac cycle to find the Heart Rate.
Step 1: Calculate HR: If the duration of one cycle is seconds, then beats per minute.
Step 2: Determine SV: Identify the maximum and minimum volumes from a ventricular volume graph. The peak represents EDV and the trough represents ESV.
Step 3: Apply the CO Formula: Multiply the calculated HR by the SV. Ensure units are consistent (e.g., converting or to or if required).
It is critical to distinguish between the volume of blood in the heart and the volume of blood pumped out by the heart.
| Term | Definition | Unit |
|---|---|---|
| Heart Rate | Number of cardiac cycles per minute | |
| Stroke Volume | Volume ejected per single beat | or |
| Cardiac Output | Total volume ejected per minute | or |
While Heart Rate is a frequency, Stroke Volume is a discrete volume, and Cardiac Output is a flow rate.
Unit Conversion: Always check if the question asks for the answer in or . Remember that .
Graph Interpretation: On a pressure-volume loop or volume-time graph, the Stroke Volume is the vertical or horizontal difference between the maximum filling and minimum residual volume.
Sanity Check: A resting Cardiac Output for a human is typically between and . If your calculation results in for a resting subject, re-check your decimal places or unit conversions.
Rearranging the Formula: Be prepared to solve for HR () or SV () if the total output is provided.