5. Cells bind to extracellular matrix (ECM) proteins via membrane receptors called integrins. The integrin-ECM bond is usually under some tension, as the cell "pulls" on the ECM. As we know from problems \#1-4, exerting a force on a molecule causes a change in the molecule's partition function. A) If the partition functions of the integrin and ECM are ZINT(x,T) and ZECM(x,T), respectively, where x is the location of the integrin-ECM bond, what is the partition function Z(x,T) of the entire integrin-ECM system? The integrin-ECM bond energy is (a positive value, by convention). B) Show that (xlnZINT)T=(xlnZECM)T at equilibrium, and interpret this expression in terms of a balance of forces. C) Show that if is too small, the integrin-ECM bond is not stable, i.e., it is likely to rupture