Biophysics Fall 2011 - Homework 3 You are encouraged to work together, but each of you needs to hand in your own solution. The solution needs to be typed, not handwritten. 1.Dimoglobin revisited Imagine a box with N O2molecule which can be distributed amongst Ωsites. This simple lattice model of the solution is intended to account for the entropy available to the O2molecules when they are in solution. A representation of this system is shown in the Figure. Use the dimoglobin energy we used in the lecture E = ε(σ1+ σ2) + J σ1σ2,and Boltzmann weights to construct the partition function. Find the expressions of the probabilities of 0, 1, or 2 oxygen bound to dimoglobin and plot the results as a function of oxygen partial pressure. Use c0= 760 mmHg and plot the oxygen partial pressure on a logarithmic scale from c = 10-2to c = 102mmHg, as in Fig. 7.13. Use the following parameters for εand J: (a) ε= -3 kBt, J = -1 kBt, (b) ε= -3 kBt, J = -4 kBt.
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