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Biomedical subjects

D L Stein

Publications and source records attributed to D L Stein.

15 recordsLinked to original sources
PubMed2005

Theory of metastability in simple metal nanowires.

Thermally induced conductance jumps of metal nanowires are modeled using stochastic Ginzburg-Landau field theories. Changes in radius are predicted to occur via the nucleation of surface kinks at the wire ends, consistent with recent electron microscopy studies. The activation rate displays nontrivial dependence on nanowire length, and undergoes first- or second-order-like transitions as a function of length. The activation barriers of the most stable structures are predicted to be universal, i.e., independent of the radius of the wire, and proportional to the square root of the surface tension. The reduction of the activation barrier under strain is also determined.

Journal Article↗
PubMed2003

Nonrealistic behavior of mean-field spin glasses.

We study chaotic size dependence of the low-temperature correlations in the Sherrington-Kirkpatrick (SK) spin glass. We prove that as temperature scales to zero with volume, for any typical coupling realization, the correlations cycle through every spin configuration in every fixed observation window. This cannot happen in short-ranged models as there it would mean that every spin configuration is an infinite-volume ground state. Its occurrence in the SK model means that the commonly used "modified clustering" notion of states sheds little light on the replica symmetry breaking (RSB) solution of SK, and, conversely, the RSB solution sheds little light on the thermodynamic structure of Edwards-Anderson models.

Journal Article↗
PubMed2001

Droplet nucleation and domain wall motion in a bounded interval.

We study a spatially extended model of noise-induced magnetization reversal: a classical Ginzburg-Landau model, restricted to a bounded interval and perturbed by weak spatiotemporal noise. By adapting the Coleman-Langer approach to false vacuum decay, we determine the dependence of the activation barrier and Kramers rate prefactor on the interval length. As it increases, a transition between activation regimes occurs, at which the prefactor diverges. Similar transitions between activation regimes should occur in many other bistable, spatially extended classical models.

Journal Article↗
PubMed2001

Aging in 1D discrete spin models and equivalent systems.

We derive exact expressions for a number of aging functions that are scaling limits of nonequilibrium correlations, R(t(w),t(w)+t) as t(w)-->infinity, t/t(w)-->theta, in the 1D homogenous q-state Potts model for all q with T = 0 dynamics following a quench from T = infinity. One such quantity is (0)(t(w));sigma-->(n)(t(w)+t)> when n/square root of ([t(w))-->z. Exact, closed-form expressions are also obtained when an interlude of T = infinity dynamics occurs. Our derivations express the scaling limit via coalescing Brownian paths and a "Brownian space-time spanning tree," which also yields other aging functions, such as the persistence probability of no spin flip at 0 between t(w) and t(w)+t.

Journal Article↗
PubMed2001

Interfaces and the question of regional congruence in spin glasses.

We present a general theorem restricting properties of interfaces between thermodynamic states and apply it to the spin glass excitations observed numerically by Krzakala and Martin and separately by Palassini and Young in spatial dimensions d = 3,4. We show that such excitations, with interface dimension d(s) < d, cannot yield regionally congruent thermodynamic states. More generally, zero density interfaces of translation-covariant excitations cannot be pinned (by the disorder) in any d but rather must deflect to infinity in the thermodynamic limit. Additional consequences concerning regional congruence in spin glasses and other systems are discussed.

Journal Article↗
PubMed2001

Noise-activated escape from a sloshing potential well.

We treat the noise-activated escape from a one-dimensional potential well of an overdamped particle, to which a periodic force of fixed frequency is applied. Near the well top, the relevant length scales and the boundary layer structure are determined. We show how behavior near the well top generalizes the behavior determined by Kramers, in the case without forcing. Our analysis includes the case when the forcing does not die away in the weak-noise limit. We discuss the relevance of scaling regimes, defined by the relative strengths of the forcing and the noise, to recent optical trap experiments.

Journal Article↗
PubMed2000

Realistic spin glasses below eight dimensions: A highly disordered view.

By connecting realistic spin glass models at low temperature to the highly disordered model at zero temperature, we argue that ordinary Edwards-Anderson spin glasses below eight dimensions have at most a single pair of physically relevant pure states at nonzero low temperature. Less likely scenarios that evade this conclusion are also discussed.

Journal Article↗
PubMed1999

Metastable states in spin glasses and disordered ferromagnets.

We study analytically M-spin-flip stable states in disordered short-ranged Ising models (spin glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily dynamical, and is based on the convergence of sigma(t), a zero-temperature dynamical process with flips of lattice animals up to size M and starting from a deep quench, to a metastable limit sigma(infinity). The results (rigorous and nonrigorous, in infinite and finite volumes) concern many aspects of metastable states: their numbers, basins of attraction, energy densities, overlaps, remanent magnetizations, and relations to thermodynamic states. For example, we show that their overlap distribution is a delta function at zero. We also define a dynamics for M=infinity, which provides a potential tool for investigating ground state structure.

Journal Article↗
PubMed1991

Biological transport processes and space dimension.

We discuss the generic time behavior of reaction-diffusion processes capable of modeling various types of biological transport processes, such as ligand migration in proteins and gating fluctuations in ion channel proteins. The main observable in these two cases, the fraction of unbound ligands and the probability of finding the channel in the closed state, respectively, exhibits an algebraic t-1/2 decay at intermediate times, followed by an exponential cutoff. We provide a simple framework for understanding these observations and explain their ubiquity by showing that these qualitative results are independent of space dimension. We also derive an experimental criterion to distinguish between a one-dimensional process and one whose effective dimension is higher.

Biological Transport↗
PubMed1991

Endothelial surface charge of intestinal mucosal capillaries and its modulation by dextran.

Capillary endothelial surface charge was investigated by perfusing the intestinal circulation of anesthetized rats in situ with 0.1 or 10 mg/ml native ferritin (NF, pI = 3.8-4.2) or with 0.1 mg/ml cationized ferritin (CF, pI greater than 10.0) for 5 min, with or without 5% Dextran 40. Ferritin binding was quantified by electron microscopy. All electron micrographs of capillaries perfused with NF showed some NF binding. Mean NF particle densities (particles/microns) were significantly greater at vesicle necks (PDv) than elsewhere on the endothelial surface (PD). Capillaries perfused with CF showed binding in only 60% of the transverse sections examined. The binding was very marked in a large proportion of these vessels. Mean CF particle densities were significantly greater at fenestrae (PDf) than elsewhere. These results demonstrate that mucosal capillaries have a variable negative electrostatic charge on the endothelial surface and support the hypothesis that some vesicle diaphragms act as preferential attractors for anionic macromolecules. Such structures could promote transendothelial vesicular transport of albumin. Dextran significantly decreased PD for NF from 25.4 +/- 2.4 (SEM) to 13.1 +/- 0.9 and PD, PDv, and PDf for CF from 45.9 +/- 4.6 to 31.0 +/- 2.7, from 62.1 +/- 6.2 to 43.6 +/- 5.4, and from 152.9 +/- 15.5 to 114.5 +/- 8.6, respectively. The above responses result from dextran's weak interaction with the endothelial surface. Dextran reduces access of ferritin molecules to the cell surface by steric hindrance and/or electrostatic shielding of the glycocalyx.

Animals↗
PubMed1987

Terbium luminescence-lifetime heterogeneity and protein equilibrium conformational dynamics.

The fluorescence decay of the rare earth terbium when bound to the protein calmodulin changes from a simple exponential decay to a complex nonexponential decay as the temperature is lowered below 200 K. We have fit the observed decay curves by assuming that the terbium emission is a forced electric dipole transition and proteins have a distribution of continuous conformational states. Quantitative fits to the data indicate that the root-mean-square configurational deviation of the atoms surrounding the terbium ion is 0.2 A, in good agreement with other measurements. We further point out that because the protein seems to undergo a glass transition yet retains configurational order at room temperature, the proper name for the physical state of a protein at room temperature is the rubber-like state.

Calmodulin↗
PubMed1985

A model of protein conformational substates.

Many proteins have been observed to exist in a large number of conformations that are believed to play an important role in their dynamics. A model of protein conformational substates that incorporates the ideas of frustration and disorder in analogy to glasses and spin glasses is proposed. Applications to x-ray diffraction, Mössbauer studies, and recombination experiments are discussed.

Journal Article↗
PubMed1984

A model for the origin of biological catalysis.

We propose a mathematical model for the next stage in the origin of life after that treated in our earlier work. At this stage we introduce the possibility of the modification of the environment by the information-containing entities and feedback between the environment and the population of macromolecules and hence provide a model for the development of the Eigen hypercycle.

Catalysis↗