The results indicate that high magnetic fields have far-reaching effects on the genome. The biological impact of high magnetic fields on Arabidopsis, as quantified by microarray and qRT-PCR analyses, is stronger than was reported for microarry data obtained for TCA cycle-related genes of budding yeast (
Saccharomyces cerevisiae) exposed to fields up to 14 Tesla [
31]. Although a detailed understanding of the results will require additional studies, perhaps involving isolated
in vitro processes [
32], hints of the underlying mechanism generating the effects may be gleaned from the strength of the response as a function of applied magnetic field. For example, the data in Figures and suggest that while a minimum threshold field can initiate a stress response that is manifested as either an induction or a repression of select genes, higher fields may compromise some aspects of the transcriptional machinery, and effectively arrest the process. This field dependence may suggest that magnetic orientation or magnetophoresis plays a role in the seemingly dual nature of the response.
An order of magnitude comparison between the strength of magnetic orientation and magnetophoresis can be made for the experimental conditions of our experiments. It is important to stress that although these two effects are present in our experiments, the current results do not identify them as the source of the effects on gene expression. However, these types of effects have been detected in experimental configurations evaluating the magnetic orientation or magnetophoresis on molecules, so they are relevant for the present discussion. Specifically, the biomacromolecules involved in signal transduction and gene regulation may experience forces and/or torques that are induced by the presence of the magnetic field. For example, one such torque arises from the anisotropy of the diamagnetic susceptibility [
33,
34] of the molecule and attempts to magnetically orient the macromolecule. This effect has been known for some time, but it has only recently been exploited in NMR structural determinations of large molecules as the measurements evolved from 14 Tesla to 17.5 Tesla [
35,
36]. In addition, the macromolecules may experience magnetophoresis due to forces generated by inhomogeneities in the applied magnetic field.
More specifically, in a magnetic field

(

), where

is the vector identifying the spatial coordinates, the magnetic energy of an object possessing a magnetic susceptibility tensor

may be written as [
36,
37]
where μ is the permittivity of the material and a reasonable approximation is that μ = μ0, the permittivity of free space. Variations of this energy arise from anisotropies of the susceptibility and of the magnetic field, such that the dominant effects are given by
The first term on the right hand side of Equation 2 is the energy due to anisotropy of the magnetic susceptibility and causes macromolecules to orient to minimize this energy. The second term on the right hand side of Equation 2 is the energy due to inhomogeneities in the magnetic field and differences of the susceptibilities of the molecules and their surroundings. In order to provide an order of magnitude comparison of the sizes of the two effects, the ratio, R, of these two terms may be written as

The inhomogenetiy of the magnetic field is largest at the top of the leaves and the bottom of the roots where (δ
B/
B) ≈ 5 × 10
-3. On the other hand, a reasonable bound for the anisotropy of the susceptibility for biomacromolecules is 10
-1 < (δχ/Δχ) < 1 [
1,
15,
36-
38]. Consequently, 10
-2 < R < 10
-1, and the effect of magnetic orientation dominates the magnetophoretic effects in our experiments. Although the sum of the variations of the magnetic energy is less than 100 ppm of the ambient thermal energy (=
kBT, where
kB is the Boltzmann constant and
T is the temperature ≈ 290 K), the magnetic orientation is readily observable [
1,
36-
38], and magnetophoretic effects, arising from
Bδ
B ranges similar to the ones present in our work, have been reported [
39].