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BU-106 / L22 · lecture

The Mammalian Heart and Double Circulation

~9 min read · Tier toggle changes depth (T1 plain · T2 standard · T3 rigour)

BEFORE YOU START

You should understand the basic distinction between open and closed circulatory systems and recall that diffusion time scales with the square of distance. Familiarity with basic fluid dynamics concepts, such as pressure and flow rate, is also assumed.

Why this matters

The mammalian heart is a dual-pump system that separates oxygenated and deoxygenated blood to meet high metabolic demands.

Large, active mammals require a highly efficient way to deliver oxygen to tissues and remove carbon dioxide. A single-circuit system, where blood passes through the heart once per cycle, is insufficient for this because the pressure required to push blood through the lungs would damage the delicate capillary beds, or the pressure reaching the body would be too low to perfuse deep tissues effectively. Double circulation solves this by using the heart as two distinct pumps: the right side generates a modest pressure to push blood through the pulmonary circuit (lungs), and the left side generates even higher pressure to push blood through the systemic circuit (body). This separation allows for optimized pressure profiles in each circuit, ensuring efficient gas exchange and tissue perfusion.

The Dual-Pump Concept

Imagine the mammalian heart not as a single chamber, but as two separate hearts working in parallel. The right side of the heart acts as the pulmonary pump. Its job is to take deoxygenated blood returning from the body and push it to the lungs. The lungs are delicate structures with thin capillary walls designed for gas exchange. If the pressure in these capillaries were too high, fluid would leak out, causing pulmonary edema. Therefore, the right ventricle generates a relatively low pressure, just enough to move blood through the low-resistance pulmonary vasculature. Once the blood picks up oxygen in the lungs, it returns to the left side of the heart. The left side acts as the systemic pump. It must push oxygenated blood through the entire body, from the brain to the toes. This circuit has much higher resistance because it includes long vessels and various organ beds. To overcome this resistance and ensure blood reaches all tissues, the left ventricle generates a significantly higher pressure. This structural separation is the key to mammalian physiology. It allows the heart to tailor the pressure output to the specific needs of each circuit. Without this double circulation, a mammal could not sustain the high metabolic rates required for endothermy and active locomotion. The heart essentially decouples the pressure requirements of the lungs from those of the body, allowing both to function optimally within the same organism.

Pressure Profiles and Vascular Resistance

The efficiency of double circulation is best understood by examining the pressure profiles in the pulmonary and systemic circuits. In the systemic circuit, the left ventricle ejects blood into the aorta, creating a peak systolic pressure of approximately 120 mmHg. As blood flows through the arteries, arterioles, and capillaries, the pressure drops due to frictional resistance. By the time blood reaches the systemic veins, the pressure is only about 10 mmHg. This large pressure gradient drives the flow. In contrast, the pulmonary circuit operates at much lower pressures. The right ventricle ejects blood into the pulmonary artery with a peak systolic pressure of only about 25 mmHg. The mean arterial pressure in the pulmonary circuit is roughly 15 mmHg, compared to about 95 mmHg in the systemic circuit. This difference arises because the pulmonary vasculature has a much larger total cross-sectional area and lower resistance. The lungs are a low-resistance bed, allowing the right ventricle to move the same volume of blood as the left ventricle (the cardiac output) with much less force. This is crucial because the pulmonary capillaries are extremely thin and fragile. High pressures would cause them to rupture. The low-pressure system ensures that gas exchange occurs without damaging the alveolar-capillary membrane. The resistance in the systemic circuit is primarily determined by the arterioles, which are the main site of vascular resistance. In the pulmonary circuit, the resistance is lower due to the extensive branching and large diameter of the pulmonary vessels. This physiological design allows the heart to maintain high flow rates in both circuits while protecting the delicate lung tissue.

\[ P_{\text{sys}} \approx 120\ \mathrm{mmHg}, \quad P_{\text{pulm}} \approx 25\ \mathrm{mmHg} \]

Cardiac Output and Stroke Volume

Cardiac output (CO) is the volume of blood pumped by the heart per minute. It is defined as the product of heart rate (HR) and stroke volume (SV). In a healthy adult at rest, the heart rate is approximately 70 beats per minute, and the stroke volume is about 70 mL. This results in a cardiac output of roughly 4.9 \mathrm{L/min}. This value is remarkably consistent between the right and left sides of the heart. Although the pressures differ, the volume of blood ejected by the right ventricle must equal the volume ejected by the left ventricle over time. If the right side pumped more blood than the left, blood would accumulate in the lungs, causing pulmonary edema. If the left side pumped more, blood would accumulate in the systemic veins, causing peripheral edema. The heart maintains this balance through intrinsic mechanisms and neural regulation. During exercise, both heart rate and stroke volume increase, raising cardiac output to over 20 \mathrm{L/min} in trained athletes. This increase ensures that oxygen delivery matches the increased metabolic demand of the muscles. The ability to increase cardiac output is a key advantage of the closed, double-circulation system. It allows for rapid adjustments in blood flow to different organs based on their needs. The systemic circuit can redirect blood flow to active muscles by dilating arterioles in those regions, while constricting them in less active areas like the digestive system. This redistribution is possible because the high-pressure systemic pump can overcome the resistance changes in the vasculature. The pulmonary circuit, with its lower resistance, can accommodate the increased flow without a significant rise in pressure, preventing damage to the lung tissue.

\[ \mathrm{CO} = \mathrm{HR} \times \mathrm{SV} \]

Gas Exchange and Diffusion Constraints

The ultimate goal of circulation is to facilitate gas exchange. In the lungs, oxygen diffuses from the alveoli into the pulmonary capillaries, while carbon dioxide diffuses in the opposite direction. This process is governed by Fick's law of diffusion. The rate of diffusion is proportional to the surface area, the concentration gradient, and inversely proportional to the diffusion distance. In the mammalian lung, the alveolar surface area is vast, approximately 70 m^2, providing a large area for exchange. The diffusion distance is extremely short, only about 0.5 µm, due to the thin alveolar and capillary walls. This short distance is critical because diffusion time scales with the square of the distance. If the distance were larger, the time required for oxygen to cross the membrane would increase dramatically, limiting the rate of gas exchange. The double circulation system ensures that blood spends enough time in the pulmonary capillaries for complete oxygenation. The low pressure in the pulmonary circuit allows the capillaries to remain close to the alveoli without collapsing or leaking. In the systemic capillaries, oxygen diffuses out of the blood into the tissues. The concentration gradient is maintained by the continuous removal of oxygen by the mitochondria in the cells. The high pressure in the systemic circuit ensures that blood flows through the capillaries at a rate that matches the rate of diffusion. If the flow were too fast, the blood would not have enough time to exchange gases. If the flow were too slow, the pressure would drop, and perfusion would be inadequate. The balance between flow rate and diffusion time is a key physiological constraint. The double circulation system optimizes this balance by providing high flow rates in the systemic circuit and low resistance in the pulmonary circuit. This allows for efficient gas exchange in both the lungs and the tissues, supporting the high metabolic rates of mammals.

\[ J \propto \frac{A \Delta C}{d} \]

The concept

◆ CONCEPT · T-030 · full treatment on its own page

The principle of mass transport

Why large organisms need circulatory systems.

\[ t_{\text{diffusion}}\sim x^2/D; \qquad \frac{\text{surface area}}{\text{volume}}\sim \frac{1}{L} \]
Open the full concept →
Tier 3 · watch out

A common misconception is that the right and left ventricles generate the same pressure. In reality, the left ventricle generates much higher pressure (approx. 120 mmHg) than the right ventricle (approx. 25 mmHg). This difference is essential because the systemic circuit has higher resistance than the pulmonary circuit. If the right ventricle generated the same pressure as the left, it would cause severe pulmonary hypertension and damage the lung capillaries. The heart is designed to match pressure to the resistance of the circuit it serves. C

Worked example

Problem. Calculate the cardiac output of an adult with a heart rate of 75 beats per minute and a stroke volume of 65 mL. Then, determine the mean arterial pressure (MAP) in the systemic circuit if the systolic pressure is 120 mmHg and the diastolic pressure is 80 mmHg. Use the approximation \(\mathrm{MAP} \approx \mathrm{Diastolic} + \frac{1}{3}(\mathrm{Systolic} - \mathrm{Diastolic})\).

  1. Identify the given values: Heart Rate (HR) = 75 min−1, Stroke Volume (SV) = 65 mL, Systolic Pressure (SP) = 120 mmHg, Diastolic Pressure (DP) = 80 mmHg.
  2. Calculate Cardiac Output (CO) using the formula \(\mathrm{CO} = \mathrm{HR} \times \mathrm{SV}\). Substitute the values: \(\mathrm{CO} = 75 \times 65\).
  3. Perform the multiplication: \(75 \times 65 = 4875 \mathrm{mL/min}\). Convert to litres: \(4875 \mathrm{mL/min} = 4.875 \mathrm{L/min}\).
  4. Calculate the pulse pressure (PP) using \(\mathrm{PP} = \mathrm{SP} - \mathrm{DP}\). Substitute the values: \(\mathrm{PP} = 120 - 80 = 40 \mathrm{mmHg}\).
  5. Calculate Mean Arterial Pressure (MAP) using the formula \(\mathrm{MAP} \approx \mathrm{DP} + \frac{1}{3}\mathrm{PP}\). Substitute the values: \(\mathrm{MAP} \approx 80 + \frac{1}{3}(40)\).
  6. Perform the calculation: \(\frac{1}{3}(40) \approx 13.33 \mathrm{mmHg}\). Add to diastolic pressure: \(80 + 13.33 = 93.33 \mathrm{mmHg}\).
\[ \mathrm{CO} = 4.875\ \mathrm{L\,min^{-1}}, \quad \mathrm{MAP} \approx 93.3\ \mathrm{mmHg} \]

Units check. Cardiac output is in litres per minute, and pressure is in millimetres of mercury, which are standard clinical units for these physiological parameters.

The same numbers give the resistance of each circuit, \(R = \Delta P/\mathrm{CO}\). Systemic: \((93 - 3)/4.875 \approx 18.5\ \mathrm{mmHg\,min\,L^{-1}}\), taking right-atrial pressure as 3 mmHg. Pulmonary: \((15 - 8)/4.875 \approx 1.4\ \mathrm{mmHg\,min\,L^{-1}}\), with left-atrial pressure 8 mmHg. The same flow meets about 13 times less resistance in the lungs, which is why the right ventricle can work at low pressure.

CHECK YOURSELF

Three quick tests

  1. Why is the pressure in the pulmonary circuit lower than in the systemic circuit?
    AnswerThe pulmonary vasculature has lower resistance and the capillaries are delicate, requiring lower pressure to prevent damage and fluid leakage.
  2. If the stroke volume increases from 70 mL to 80 mL while the heart rate remains constant at 70 min−1, what is the new cardiac output?
    AnswerThe new cardiac output is \(70 \times 80 = 5600 \mathrm{mL/min} = 5.6 \mathrm{L/min}\).
  3. What would happen to pulmonary capillaries if the right ventricle generated the same pressure as the left ventricle?
    AnswerThe high pressure would cause the delicate pulmonary capillaries to rupture, leading to pulmonary edema and impaired gas exchange.
UNIT

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NOTES

Lecture notes checked line by line by the editor; every number in the worked example was recomputed.

Concepts cited: T-030 · Threads: regulation, systems