Page 254 - Thermodynamics of Biochemical Reactions

254 Mathematica Solutions to Problems

(a) First we express the binding potential P as a function of the hydrogen ion concentration, represented by h.

~=l+h/10"-6.47+h"2/((lOA-6.47)*(1OA~3.83))
6 10 2
1 + 2.95121 10 h i 1.99526 10 h

Plot[g, {h,10A-2,10A-10},AxesLabel->i11h~',"p11~l;
P

Plot [Log [p] , {h, 10A-2, 1OA-1O), Axe~Label->{~'h", "In g"3 1 ;
In P

' h
0.002 0.004 0.006 0.008 0.01

The equation for the titration curve is obtained by use of the following differentiation:

nH=h*D [Log [PI, hl