%0 Generic %1 Duncan2006Lattice %A Duncan, Anthony %D 2006 %K medicine %T Lattice Field Theory Methods in Modern Biophysics %U http://arxiv.org/abs/hep-lat/0609064 %X An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction terms depend on details (finite-size effects, multipole properties, etc). Convergence of the loop expansion holds only if mutual interactions of mobile charges are small compared to their interaction with the fixed-charge environment, which is frequently not the case. Problems with the strongly- coupled effective theory can be circumvented with an alternative local lattice formulation, with real positive action. In realistic situations, with variable dielectric, a determinant of the Poisson operator must be inserted to generate correct electrostatics. Methods adopted from unquenched lattice QCD do this very efficiently.

@misc{Duncan2006Lattice, abstract = {{An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction terms depend on details (finite-size effects, multipole properties, etc). Convergence of the loop expansion holds only if mutual interactions of mobile charges are small compared to their interaction with the fixed-charge environment, which is frequently not the case. Problems with the strongly- coupled effective theory can be circumvented with an alternative local lattice formulation, with real positive action. In realistic situations, with variable dielectric, a determinant of the Poisson operator must be inserted to generate correct electrostatics. Methods adopted from unquenched lattice QCD do this very efficiently.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Duncan, Anthony}, biburl = {https://www.bibsonomy.org/bibtex/27cc71c6f48208ffa1f9d4497e2289df1/cmcneile}, citeulike-article-id = {3821507}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-lat/0609064}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-lat/0609064}, day = 28, eprint = {hep-lat/0609064}, interhash = {314f0c11636f45d586c4ecb313db5a57}, intrahash = {7cc71c6f48208ffa1f9d4497e2289df1}, keywords = {medicine}, month = sep, posted-at = {2012-10-28 07:57:02}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Lattice Field Theory Methods in Modern Biophysics}}, url = {http://arxiv.org/abs/hep-lat/0609064}, year = 2006 }