The most important function of red blood cells is the transport of oxygen (O) to the tissues. The hemoglobin absorbs oxygen in the lungs. Then it travels through blood vessels and brings oxygen to all other cells via the heart. The blood cells go through the lungs (to collect oxygen), through the heart (to give all cells oxygen). They go back to the heart to be re-pumped to the lungs (to again collect oxygen), so the blood in your body travels in a double circuit, going through your heart twice before it completes one full circulation of the body.