PubMed · 9396514
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A M Katz. 1997-11-18. Electrical remodeling.. https://pubmed.ncbi.nlm.nih.gov/9396514/
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Permeation of ions from one electrolytic solution to another, through a protein channel, is a biological process of considerable importance. Permeation occurs on a time scale of micro- to milliseconds, far longer than the femtosecond time scales of atomic motion. Direct simulations of atomic dynamics are not yet possible for such long-time scales; thus, averaging is unavoidable. The question is what and how to average. In this paper, we average a Langevin model of ionic motion in a bulk solution and protein channel. The main result is a coupled system of averaged Poisson and Nernst-Planck equations (CPNP) involving conditional and unconditional charge densities and conditional potentials. The resulting NP equations contain the averaged force on a single ion, which is the sum of two components. The first component is the gradient of a conditional electric potential that is the solution of Poisson's equation with conditional and permanent charge densities and boundary conditions of the applied voltage. The second component is the self-induced force on an ion due to surface charges induced only by that ion at dielectric interfaces. The ion induces surface polarization charge that exerts a significant force on the ion itself, not present in earlier PNP equations. The proposed CPNP system is not complete, however, because the electric potential satisfies Poisson's equation with conditional charge densities, conditioned on the location of an ion, while the NP equations contain unconditional densities. The conditional densities are closely related to the well-studied pair-correlation functions of equilibrium statistical mechanics. We examine a specific closure relation, which on the one hand replaces the conditional charge densities by the unconditional ones in the Poisson equation, and on the other hand replaces the self-induced force in the NP equation by an effective self-induced force. This effective self-induced force is nearly zero in the baths but is approximately equal to the self-induced force in and near the channel. The charge densities in the NP equations are interpreted as time averages over long times of the motion of a quasiparticle that diffuses with the same diffusion coefficient as that of a real ion, but is driven by the averaged force. In this way, continuum equations with averaged charge densities and mean-fields can be used to describe permeation through a protein channel.
Most higher plants develop severe toxicity symptoms when grown on ammonium (NH(4)(+)) as the sole nitrogen source. Recently, NH(4)(+) toxicity has been implicated as a cause of forest decline and even species extinction. Although mechanisms underlying NH(4)(+) toxicity have been extensively sought, the primary events conferring it at the cellular level are not understood. Using a high-precision positron tracing technique, we here present a cell-physiological characterization of NH(4)(+) acquisition in two major cereals, barley (Hordeum vulgare), known to be susceptible to toxicity, and rice (Oryza sativa), known for its exceptional tolerance to even high levels of NH(4)(+). We show that, at high external NH(4)(+) concentration ([NH(4)(+)](o)), barley root cells experience a breakdown in the regulation of NH(4)(+) influx, leading to the accumulation of excessive amounts of NH(4)(+) in the cytosol. Measurements of NH(4)(+) efflux, combined with a thermodynamic analysis of the transmembrane electrochemical potential for NH(4)(+), reveal that, at elevated [NH(4)(+)](o), barley cells engage a high-capacity NH(4)(+)-efflux system that supports outward NH(4)(+) fluxes against a sizable gradient. Ammonium efflux is shown to constitute as much as 80% of primary influx, resulting in a never-before-documented futile cycling of nitrogen across the plasma membrane of root cells. This futile cycling carries a high energetic cost (we record a 40% increase in root respiration) that is independent of N metabolism and is accompanied by a decline in growth. In rice, by contrast, a cellular defense strategy has evolved that is characterized by an energetically neutral, near-Nernstian, equilibration of NH(4)(+) at high [NH(4)(+)](o). Thus our study has characterized the primary events in NH(4)(+) nutrition at the cellular level that may constitute the fundamental cause of NH(4)(+) toxicity in plants.
Chronic perineal pain, too easily considered in the past as psychogenic, has undergone significant reshapings in recent years because of a better understanding of pathophysiology. Progress in functional investigations, especially electrophysiological tests, has allowed to define new clinical entities such as pudendal neuralgia or pain linked to pelvic floor disorders. Treatments have been improved, but remain empirical outside these well defined entities. In practice, clinical examination is the main diagnostic step, which allows to exclude common anorectal or pelviperineal lesions, and to consider additional investigations. However diagnosis may remain entirely clinical in some typical presentations.