PubMed Health⌕ Search

PubMed · 11308517

Stretching a macromolecule in an atomic force microscope: statistical mechanical analysis.

Abstract

We formulate the proper statistical mechanics to describe the stretching of a macromolecule under a force provided by the cantilever of an atomic force microscope. In the limit of a soft cantilever the generalized ensemble of the coupled molecule/cantilever system reduces to the Gibbs ensemble for an isolated molecule subject to a constant force in which the extension is fluctuating. For a stiff cantilever we obtain the Helmholtz ensemble for an isolated molecule held at a fixed extension with the force fluctuating. Numerical examples are given for poly (ethylene glycol) chains.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

H J Kreuzer, S H Payne. 2001-01-23. Stretching a macromolecule in an atomic force microscope: statistical mechanical analysis.. https://doi.org/10.1103/physreve.63.021906

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related citations

Structural and folding properties of a lattice prion model.

Searching through and conducting Monte Carlo folding simulations on 10(6) different 27 mer sequences, we have selected a prionlike lattice model whose energy spectrum and folding properties demonstrate characteristic prion behavior. The energetic competition and structural partition between two closely spaced energy minima yield unique kinetic and thermodynamic properties that can be qualitatively compared with experimental results. Folding simulations indicate that the probability of reaching the first excited state from a denatured random conformation is much higher than the probability of reaching the global energy-minimum state.

Biophysical Phenomena↗

Anomalous Rayleigh scatter in dilute media.

Anomalous Rayleigh scatter is examined for dilute concentrations of the biomedically relevant element iodine in aqueous media including measurements with monochromatic synchrotron radiation in the vicinity of the iodine K-edge. The measurements agree with anomalous scatter-factor corrections to the form-factor approximation which has been shown to have good agreement with higher precision S-matrix calculations for small angle scatter over a wide range of energies but has not been adequately tested at the edge. Monte Carlo modelling, including the modelling of polarized Compton and Rayleigh scattered x-rays, is used to determine the relative contributions of the scatter and fluorescent components at the detector as well as the modelling of self-absorption and relative dose in the determination of detection limits. A Rayleigh scatter minimum of 28 barns/sr was observed at an energy 10 +/- 5 eV below the K-edge of iodine at a position predicted from an evaluation of the dispersion integral that includes bound-bound resonance contributions. Minimum detectable concentrations for observation of the anomalous Rayleigh scatter feature at an exposure of 10 mSv, predicted for iodine and iron, are 1 mg ml(-1) and 10 mg ml(-1), respectively. Upper limits to detection of the feature imposed by degradation of the signal by self-absorption are 0.021 g cm(-2) and 0.0029 g cm(-2) radiation lengths, respectively.

Biophysical Phenomena↗