A Short Note Regarding the Number of Bound Molecules of Oxygen to Hemoglobin
Oxygen, a molecule essential to many biological functions in the human body, binds coop?eratively to a protein known as hemoglobin. This cooperative binding of oxygen to hemoglobin can be described by a binding polynomial of degree n = 4. In this paper, I theoretically prove that a molecule of hemoglobin must have at least one molecule of oxygen bound to its subunits at any given point in time. I remove a condition for the equilibrium constants K_R and K_T in the binding polynomial for the binding of oxygen to hemoglobin. Removing the condition partially proves the proposed statement in this paper. I then make use of the cubic formula to derive the concentration of oxygen for which the number of bound oxygen molecules tohemoglobin is zero, thus completing a comprehensive mathematical justification of the proposed theoretical statement. Through this paper, I hope to provide a further insight into the mechanisms of oxygen and hemoglobin with regards to the respiratory system.