422 9.5  Extending Length and Time Scales to Quantum and Ecological Biophysics

9.5  EXTENDING LENGTH AND TIME SCALES TO QUANTUM AND

ECOLOGICAL BIOPHYSICS

Established biophysical tools have focused mainly on the broad length scale between the

single molecule and the single cell. However, emerging techniques are being developed to

expand this length scale at both extremes. At the high end, this includes methods of investi­

gating multiple cells, tissues, and even large whole organisms of animals and plants. Beyond

this organismal macroscopic length scale is a larger length scale concerning populations of

organisms, or ecosystems, which can be probed using emerging experimental and theoret­

ical biophysical methods. In addition, there are also biophysical investigations that are being

attempted at the other end of the length scale, for far smaller lengths and times, in terms of

quantum biology effects.

9.5.1  QUANTUM BIOLOGY

Quantum mechanical effects are ubiquitous in biology. For example, all molecular orbitals

have an origin in quantum mechanics. The debate about quantum biology, however, turns on

this simple question:

Does it matter?

Many scientists view “everyday” quantum effects as largely trivial. For example, although

the probability distribution functions for an electron’s positions in time and space operate

using quantum mechanical principles, one does not necessarily need to use these to pre­

dict the behavior of interacting atoms and molecules in a cellular process. Also, many

quantum mechanical effects that have been clearly observed experimentally have been at low

temperatures, a few Kelvin at most above absolute zero, suggesting that the relatively enor­

mous temperatures of living matter on an absolute Kelvin scale lies in the domain of classical

physics, hence the argument that quantum effects are largely not relevant to understanding

the ways that living matter operates.

However, there are some valuable nontrivial counterexamples in biology that are diffi­

cult to explain without recourse to the physics of quantum mechanics. The clearest example

of these is quantum tunneling in enzymes. The action of many enzymes is hard to explain

using classical physics. Enzymes operate through a lowering of the overall free energy barrier

between biochemical products and reactants by deconstructing the overall chemical reaction

into a series of small intermediate reactions, the sum of whose free energy barriers is much

smaller than the overall free energy barrier. It is possible in many examples to experimen­

tally measure the reaction kinetics of these intermediate states by locking the enzyme using

genetic and chemicals methods. Analysis of the reaction kinetics, however, using classical

physics in general fails to explain the rapid overall reactions rates, predicting a much lower

overall rate by several orders of magnitude.

The most striking example is the electron transport carrier mechanism of oxidative phos­

phorylation (OXPHOS) (see Chapter 2). During the operation of OXPHOS, a high-​energy

electron is conveyed between several different electron transport carrier enzymes, losing

free energy at each step that is in effect siphoned off to be utilized in generating the biomol­

ecule ATP that is the universal cellular energy currency. From a knowledge of the molecular

structures of these electron transport carriers, we know that the shortest distance between

the primary electron donor and acceptor sites is around ~0.2–​0.3 nm, which condensed

matter theory from classical physics is equivalent to a Fermi energy level gap that is equiva­

lent to ~1 eV. However, the half reaction 2H+​ +​ 2e/​H2 has a reduction potential of ca. −0.4 eV.

That is, to transfer an electron from a donor to a proton acceptor, which is the case here that

creates atomic hydrogen on the electron acceptor protein, results in a gain in electron energy

of ~0.4 eV, but a cost in jumping across the chasm of 0.2–​0.3 nm of ~1 eV. In other words,

the classical prediction would be that electron transfer in this case would not occur, since it