Definition:
knowledge about energy transfer between modes in bulk systems [Maradudin et al., 1963].
There has been much attention
paid to theoretical mechanisms by which radio frequency (RF) irradiation may affect
biological processes. One area that has not been extensively studied is whether
RF can subtly effect the action of individual enzymes. In many biological
molecules, physical displacement of atoms from one conformation to another is
intimately connected to their biological function. For example, the
conformation of hemoglobin is altered after one heme group absorbs oxygen in
such a way that the three remaining heme groups become much more likely to
absorb oxygen. This greatly increases the efficiency of hemoglobin as an oxygen
transporter. The change in oxygen affinity is driven by the conformation change
of the molecule which involves very localized changes in the conformation of
the heme group, as well as change over larger sections of the molecule.
The absorption of RF energy,
in all cases discussed, is to modes of bulk matter rather than to
intramolecular modes of a specific molecule. The question still remains as to
whether that energy can be transmitted to other modes in a way that can
athermaly alter biological function. It is known that at high enough
temperature, biological function is altered. The question then is, can energy
be transferred more efficiently to active modes in a way different from
assumptions related to thermal heating. The question can be answered because
there is a considerable amount of
knowledge about energy transfer between modes in bulk systems [Maradudin et al., 1963].
Since the intramolecular modes
of the molecule have been shown to all be at higher frequencies than those of
the bulk matter, the transfer to active modes must involve scattering to higher
frequency. The leading scattering terms for lattice modes involve three phonons
and the net rate of transfer involve the activation levels of the modes that
are out of equilibrium. If there were resonant absorption, the absorbing mode
would have the greatest level of activation.
The leading upconversion process
would then be frequency doubling, that is, that process in which the initial
two phonons were of the RF absorbing mode leading to the third created phonon
of twice the frequency. The largest transfers would then be to modes nearby in
frequency. The high frequency active modes would then only have energy
transferred to them when modes were populated out of equilibrium up to near the
active mode frequency by pumping up all the modes at frequencies in between.
This transfer of energy through a large number of modes is exactly the process
of thermalization. For an athermal effect, there would have to be a transfer to
the one mode greatly in excess of the transfer of energy to all other modes.
This could only happen by a very unusual strong coupling between a bulk and an
intramolecular active mode. Since they are so different in character, this is
extremely
unlikely.
unlikely.
Individual protein molecules
have a lower limit to the frequency intramolecular vibrational mode they can
support resonantly. No resonant RF absorption could occur to a single protein
molecule of this size below this frequency. Bulk intramolecular modes are present
at lower frequency and i f any RF absorption occurred it would be to bulk modes.
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