70 The Cell Language Theory: Connecting Mind and Matterb2861 The Cell Language Theory: Connecting Mind and Matter “6x9”same knowledge may help us understand how the more complex enzyme
systems work such as the rotary enzymes. The pre-fit mechanisms are based
on the generalized Franck–Condon principle (GFCP) that was imported into
enzymology from chemical kinetics in 1974 [12] and implicate Brownian
motions as an essential process.3.2.6 The GFCP, Pre-fit Mechanisms, and Scalar Enzyme Catalysis
The GFCP was formulated in [7, p. 53; 12] by generalizing the Franck–
Condon principle well known in chemical kinetics [70]. GFCP is also
referred to as the Principle of Slow and Fast Processes (PSFP) as briefly
discussed in Section 2.7.
GFCP applies whenever two processes are coupled, one slow and the
other fast, differing in time constant by a factor of about 10^2 or more.
Since enzyme catalysis involves slow conformational changes of the
enzyme and fast electronic rearrangement of the substrate to produce the
product, GFCP should apply. The free energy diagram of a general
enzyme catalysis is schematically shown in Figure 3.9 [14].
It is assumed in Figure 3.9 that the chemical transformations (as sym-
bolized by the shape change of the substrate into that of the product) in the
active site of an enzyme is driven by conformons or conformational waves
(standing waves) of the amino acid residues constituting the active site
(symbolized by the differentially numbered amino acid residues making
contact with the substrate and the product). As evident, the ligand (either
the substrate or the product) binds to the active site only when the activeTable 3.3 Three kinds of enzyme catalyses in the living cell.Catalysis
CategoryMinimum
Number of Active
Sites on EnzymeMotion of
Enzyme Active
Sites ExamplesMechanistic
Principle
Obeyed
Scalar 1 Random Most enzymes,
e.g., histidine
carboxylaseGFCP
(Section 2.7)Translational 2 Linear or
translationalIon channels GFCPRotary 3 Circular or
rotaryF 1 -ATPase GFCPb2861_Ch-03.indd 70 06-11-2017 12:46:07 PM