PhysicochemicalMechanisms of Radiation-Induced DNA Damage 517
even4K. The tunneling rate constant can be described by the relation, k = k
0
e
−βD
, which gives the
fall off in tunneling rate constant with distance decay constant (β) and distance (D) between the
donor and the acceptor. β is dependent upon the nature of the bridge (i.e., the intervening sequence)
and the electronic coupling between the donor and acceptor. For tunneling of hole and excess elec-
tron transfer within DNA, β values ranging from 0.6–1.1 Å
−1
have been observed in low temperature
work, which isolate this process and in fast kinetic studies for short distances (Lewis et al., 2000,
2001; Lewis, 2005) where this process dominates. Note that, higher β values (ca. 1–1.5 Å
−1
) are
observed
for charge transfer processes in proteins (Nocek et al., 1996).
While
tunneling is always in effect, it is rapid only for short distances. For long distance
action, the tunneling-hopping mechanism is needed (Jortner et al., 1998; Grozema and Siebbeles,
2007). In the “hopping” mechanism, charge transfer along DNA has been proposed to occur in
discrete thermally activated steps from the donor through intervening way stops to the acceptor
(Bernhard and Close, 2004; Cai and Sevilla, 2004; Sevilla and Becker, 2004; von Sonntag, 2006;
Becker et al., 2007; Becker and Sevilla, 2008; Close, 2008; Kumar and Sevilla, 2008a). This
process is not effective in DNA systems until approximately at 200 K. This thermal activation is
necessary to overcome the stabilization by polarization of the medium around the hole and excess
electron adduct as well as proton transfer processes within DNA (Cai and Sevilla, 2004). These
create a potential barrier to transfer via hopping. Indeed, polarization of the media alone by the
trapped charges can be a limiting factor in the hopping process (Cai and Sevilla, 2004). Another
related mechanism for transfer involving polarization is “polaron transport” in DNA (Henderson
et al., 1999). If the polaron is only a single relaxed ion radical with media polarization around it,
then charge transfer via this polaron is the usual hopping case. However, if the hole or electron is
delocalized within a stack of bases (such as A-stacks), then this larger entity can migrate. Usually,
the size of the polaron in DNA is limited to 3–4 base pairs because the polarization stabiliza-
tion is strongest for smaller ionic species and drops off as the ion radius increases (Conwell and
Rakhmanova, 2000; Conwell, 2005). Therefore, delocalization decreases the stabilization of the
polarization. Theoretical studies have shown that solvent polarization and nuclear reorganiza-
tion prevent extensive base-to-base hole delocalization for bases other than adenine (Adhikary et al.,
2008a), and as a result, such polaron formation, in the case of holes, occurs only in A-stacks
(Adhikary et al., 2008a). For hopping or polaron-assisted hopping, the tunneling equation men-
tioned above is not strictly applicable, as a very weak distance dependence is expected and the
rate of charge transfer process should not necessarily decay exponentially with distance. For
such cases, an apparent low value of β (e.g., 0–0.2 Å
−1
) has been reported from various labo-
ratories (Arkin et al., 1997; Fink and Schönenberger, 1999; Henderson et al., 1999; Ly et al.,
1999; Porath et al., 2001; Drummond et al., 2003). Much effort has shown that base sequence is
especially signicant for such long range tunneling (Giese, 2002). As an example, a G placed in
between every several base pairs allows for long distance hole “hopping” from G to G; tracks of
A show little or no distance dependence (Giese et al., 2001; Giese, 2002; Shao et al., 2004; Kawai
and Majima, 2005; Joy et al., 2006; Augustyn et al., 2007; Lewis et al., 2008). Intra-base pair
proton transfer processes have been suggested to play a role of “gating switch” to both hole and
electron transfer through DNA (Steenken, 1989, 1992, 1997; Adhikary et al., 2009; Kumar and
Sevilla, 2009a). Ultimately, the transfer distances of both holes and electrons are limited by
irreversible protonation of thymine and cytosine anion radicals and reaction of guanine cation
radicals with water described in Schemes 19.1 and 19.2.
In cellular systems, DNA is found in higher levels of organization in chromatin, in the form
of nucleosomes, solenoids, and bers, which place DNA double strands in close proximity and
excludes much of the bulk water from the vicinity of DNA. The close packaging increases the possi-
bility of inter-duplex charge transfer in addition to charge transfer within the duplex. Low tempera-
ture ESR work using crystalline DNA (Debije and Bernhard, 2000), or hydrated DNA pellets and
DNA-ice samples (Pezeshk et al., 1996; Cai and Sevilla, 2000, 2004) have provided evidence for