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Ionic Interactions in Biological and Physical Systems: a Variational Treatment
15 Feb 2014 | Online Presentations | Contributor(s): Bob Eisenberg
All biology occurs in ionic mixtures loosely called Ringer solutions. Biology depends on interactions of ions. Interactions of Na+, K+, and Ca2+ with channel proteins produce electrical signals of nerves and coordinate muscle contraction including the heart. Proteins, channels, and nucleic acids concentrate small ions to number densities greater than 10 M because their active sites have large densities of acids and bases with permanent charge. ...
Thirty-eight years as an Academic Chairman: Struggling to Prosper by doing the Right Thing
Bob Eisenberg is interested in studying ion channels as physical objects, trying to use the tools of physics, chemistry, engineering, and applied mathematics to understand how they work. Ion channels are proteins with a hole down their middle that are the gatekeepers for cells. Ion channels control an enormous range of biological function in health and disease. But ion channels have simple enough structure that they can be analyzed with the usual tools of physical science. With that analysis in hand, Bob and John Tang, with gifted collaborators, are trying to design practical machines that use ion channels.
Mathematics of Ions in Channels and Solutions: Stochastic Derivations, Direct, Variational and Inverse Solutions that fit Data
05 Feb 2014 | Online Presentations | Contributor(s): Bob Eisenberg
Literally thousands of biologists study the properties of channels in experiments every day. My collaborators and I have shown how the relevant equations can be derived (almost) from stochastic differential equations, and how they can be solved in inverse, variational, and direct problems using models that describe a wide range of biological situations with only a handful of parameters that do not change even when concentrations change by a factor of 10^7. Variational methods hold particular promise as a way to solve problems outstanding for more than a century because they describe interactions of 'everything with everything' else that characterise ions crowded into channels.
Ionic Selectivity in Channels: complex biology created by the balance of simple physics
3.5 out of 5 stars
05 Jun 2008 | Online Presentations | Contributor(s): Bob Eisenberg
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