Investigation of Catalytic Properties of Immobilized Enzymes and Cells by Flow Microcalorimetry - Advances in Biochemical Engineering Biotechnology - page 82

Substrate concentration (mmol L -1 )

Fig. 7. Effect of sucrose concentration on thermometric signal in steady-state. Invertase was
immobilized on bead cellulose activated by cyanuric chloride [27]

situation the maximum reaction rate,V m ,cannot be determined independently
from the parameter .Moreover,the data serve as a relative measure of the com-

parison of activity among IMB preparations [30].

a

5.1.2.2
High Enzyme Activity

When a significant change in the substrate concentration in the column is
expected,numerical integration of the model equations (26) and (27) should be
applied to the experimental data. The solution was simplified by combining
Eq. (27) with Eq. (26) in order to obtain the following equation,where the term
(- H r )

02

D

was defined as parameter P and was considered to be constant in the

C p
experimental system under investigation:

Ç

dT dc Sb (- D H r ) c Sb

=- =- P. (29)

5 766 53

C P dz
The integration of Eq. (29) gives the following algebraic equation:

dz D z Ç

D T r =(c Sb1 -c Sb2 ) P. (30)

For the calculation of the thermometric signal value, T r , the output substrate

concentration c Sb2 was determined by the integration of Eq. (26). Using this
value and the value of the input substrate concentration,c Sb1 ,the heat response,
D

D

T r ,was determined from Eq. (30).