Biology Reference
In-Depth Information
Waiting Time Distributions, Measured and Calculated,
2 mM; a=3.5x10^11; b=200
25
20
15
10
5
0
-35
15
65
115
165
215
265
-5
Waiting Time, w, ms
Fig. 11.24 The waiting time distribution (or histogram) of one molecule of cholesterol oxidase
(COx) at the substrate concentration of 2 mM (Adapted from Fig. 1d in Lu et al. 1998). ( Upper )
The solid line ( left panel ) was derived from Eq. 11.25 with k 1
6s 1 ,k 2
2s 1 ,
¼
33
¼
17
and k 1
0. The blackbody spectrum ( right panel ) was reproduced from http://schools-wikipedia.
org/images/705/70552.png.htm . ( Lower ) The smooth curve derived from Eq. 11.27 , with a
¼
¼
3.5
10 5 ,b ¼ 200, and X(w) ¼ 0. [Cholesterol] ¼ 2.0 mM
statistical mechanicians with whom I had occasions to discuss this topic at the 100th
Statistical Mechanics Conference held at Rutgers in 2008 (Ji 2008b) showed either no
interest or even negative reactions. The purpose of this section is to present theoreti-
cal and experimental evidence that supports the following two conclusions:
1. Both blackbody radiation and enzymic catalysis can be viewed as resulting from
thermal excitation of systems of molecular oscillators . Viewing an enzyme as a
collection of oscillators is in agreement with the prediction made in Ji (1974a):
Given all the vibrational frequencies of the individual bonds in an enzyme, as well as their
three-dimensional arrangements, we can in principle deduce the thermodynamic and
catalytic properties of the enzyme under any conditions.
(11.24)
2. The waiting time distribution data of Lu et al. (1998), Figs. 11.18 and 11.24 , can
be accounted for in terms of a quasi-deterministic equation, Eq. 11.27 ,
consisting of (a) a deterministic (or synchronic; see Table 4.2 for the definition
of “synchronic” and “diachronic”) term isomorphic with the Planck's radiation
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