The most prominent of these (and historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices in such a way that the group operation is matrix multiplication.
hemoglobin is able to perform this function due to its ability to reversibly bind to oxygen. inside oxygen rich areas of the lungs, hemoglobin picks up oxygen molecules, then it transports the oxygen via red blood cells to bodys tissue, once hemoglobin reached the oxygen poor area of the tissues it releases the oxygen.
Gas Transport by the Blood. Almost all the oxygen (over 98%) is carried in the blood by attachment to hemoglobin, a protein in the red blood cells. As oxygen is dissolved in the blood, it rapidly combines with the hemoglobin to form oxyhemoglobin. Each hemoglobin molecule can bind up to four oxygen molecules.