VP-ITC MicroCalorimeter User’s Manual
VP-ITC sensitivity is ca. 0.1
µ
cal so for precise measurement each injection should have an
average of at least 3-5
µ
Cal of heat absorbed or evolved into the 1.3 ml cell.
How these factors impinge on your choice of macromolecule concentration can be seen by
considering a particular example of the binding of 2'CMP to ribonuclease A, where the binding
constant is approximately 1 x 106 M-1 and the
∆
Ho is approximately -15000 cal/mole for the
single binding site.
A. Measuring
∆
Ho, K and n by deconvolution of total binding isotherm
.
For a K of 106, RNASE concentrations are in the experimental K window for the Molar range 10-
6 < Mtot < 10-3. It requires at least 10 separate injections to define the total binding isotherms
and each injection must average ca. 5
µ
cal, so the total heat Q required in the 1.3 ml cell is 50
µ
cal, i.e.,
Q = 50 x 10-6 cal = (15000 cal/mole) (Mtot moles/l ) (1.3 x 10-3 l )
Solving this equation for Mtot gives a minimum concentration of ca. 3 x 10-6 M. This
concentration is larger than the lowest concentration, 1 x 10-6 , in the experimental K window so
the concentration range available in the K window becomes 3 x 10-6 < M < 10-3. Although any
value within this range is acceptable, it would lead to better estimates of parameters to choose
concentrations higher than the minimum of 3 x 10-6 so that Q signals will be larger and c values
will be in the ideal range between 10 and 100. (i.e., 10-5 < Mtot < 10-4 ).
B. Measuring only
∆
Ho by single ligand injection into excess macromolecule
.
To measure
∆
Ho by a single injection (i.e., without deconvolution of the total binding isotherm)
requires a c value large enough so the experimental intercept on the isotherm intercepts the Y
axis very close to the true
∆
Ho, i.e., c > 100. This means Mtot > 10-4. Since there will be excess
macromolecule in the cell, the experimental heat Q will be determined by the amount of ligand
injected, i.e.,
Q = (15,000 cal/mole) (syringe conc.) (inj. vol.)
For example, a 10 ml injection of a 7 x 10-5 M ligand solution would give the minimal 10
µ
cal of
heat. It is also possible to measure
∆
H by injecting excess ligand into a very low concentration of
macromolecule.
Referring to case A above, once you have chosen Mtot you must select the ligand concentration
Xtot for the solution to be loaded into the syringe. This will depend on the volume of the syringe
38