The adsorption of proteins with net positive charges (pI > pH) on the walls of fused-silica capillaries is a common problem in the analysis of proteins by capillary electrophoresis. This paper explores the use of polycationic polymers as noncovalent coatings to limit this problem. The behavior of three sets of proteins was compared using uncoated and coated capillaries: (i) a protein charge ladder obtained by acetylation of lysozyme (EC 3.2.1.17); (ii) a protein charge ladder obtained by acetylation of carbonic anhydrase II (EC 4.2.1.1); (iii) a test panel of proteins with a range of values of molecular weight and pI. Four polycationic polymers were examined: polyethylenimine (PEI; MWav = 15 000), Polybrene (MWav = 25 000), poly(methoxyethoxyethyl)ethylenimine (MWav = 64 000), and poly(diallyldimethylammonium chloride) (MWav = 10 000). Detection of proteins with high pI was readily achieved using the first three of these polycationic polymer coatings but not with the poly(diallyldimethylammonium chloride). Examination of the stability of these coatings indicates that they are robust: the change in electroosmotic flow was less than 10% for 25 replications of the same separations, using capillaries coated with PEI or Polybrene. This study demonstrates that the charge ladder obtained by acetylation of lysozyme is a good model with which to test the efficiency of polycationic coatings. A study of the electrophoretic mobilities of the members of this charge ladder at pH 8.3 determined the effective charge of lysozyme (ZP(0) = +7.6 ± 0.1) and established the acidity of the α-ammonium group of lysozyme (pKa = 7.8 ± 0.1). Results from the test panel of proteins suggest that protein adsorption is mainly driven by electrostatic interactions.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTRate constants and equilibrium constants for thiol-disulfide interchange reactions involving oxidized glutathioneRichard P. Szajewski and George M. WhitesidesCite this: J. Am. Chem. Soc. 1980, 102, 6, 2011–2026Publication Date (Print):March 1, 1980Publication History Published online1 May 2002Published inissue 1 March 1980https://pubs.acs.org/doi/10.1021/ja00526a042https://doi.org/10.1021/ja00526a042research-articleACS PublicationsRequest reuse permissionsArticle Views2882Altmetric-Citations342LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InRedditEmail Other access optionsGet e-AlertscloseSupporting Info (1)»Supporting Information Supporting Information Get e-Alerts
Searching through chemical space is an exceptionally challenging problem because the number of possible molecules grows combinatorially with the number of atoms. Large, autoregressive models trained on databases of chemical compounds have yielded powerful generators, but we still lack robust strategies for generating molecules with desired properties. This molecular search problem closely resembles the "alignment" problem for large language models, though for many chemical tasks we have a specific and easily evaluable reward function. Here, we introduce an algorithm called energy rank alignment (ERA) that leverages an explicit reward function to produce a gradient-based objective that we use to optimize autoregressive policies. We show theoretically that this algorithm is closely related to proximal policy optimization (PPO) and direct preference optimization (DPO), but has a minimizer that converges to an ideal Gibbs-Boltzmann distribution with the reward playing the role of an energy function. Furthermore, this algorithm is highly scalable, does not require reinforcement learning, and performs well relative to DPO when the number of preference observations per pairing is small. We deploy this approach to align molecular transformers and protein language models to generate molecules and protein sequences, respectively, with externally specified properties and find that it does so robustly, searching through diverse parts of chemical space.
We consider quasistatic motion and stability of a single degree of freedom elastic system undergoing frictional slip. The system is represented by a block (slider) slipping at speed V and connected by a spring of stiffness k to a point at which motion is enforced at speed V 0 We adopt rate and state dependent frictional constitutive relations for the slider which describe approximately experimental results of Dieterich and Ruina over a range of slip speeds V. In the simplest relation the friction stress depends additively on a term A In V and a state variable θ; the state variable θ evolves, with a characteristic slip distance, to the value − B In V, where the constants A, B are assumed to satisfy B > A > 0. Limited results are presented based on a similar friction law using two state variables. Linearized stability analysis predicts constant slip rate motion at V 0 to change from stable to unstable with a decrease in the spring stiffness k below a critical value k cr. At neutral stability oscillations in slip rate are predicted. A nonlinear analysis of slip motions given here uses the Hopf bifurcation technique, direct determination of phase plane trajectories, Liapunov methods and numerical integration of the equations of motion. Small but finite amplitude limit cycles exist for one value of k, if one state variable is used. With two state variables oscillations exist for a small range of k which undergo period doubling and then lead to apparently chaotic motions as k is decreased. Perturbations from steady sliding are imposed by step changes in the imposed load point motion. Three cases are considered: (1) the load point speed V 0 is suddenly increased; (2) the load point is stopped for some time and then moved again at a constant rate; and (3) the load point displacement suddenly jumps and then stops. In all cases, for all values of k:, sufficiently large perturbations lead to instability. Primary conclusions are: (1) ‘stick-slip’ instability is possible in systems for which steady sliding is stable, and (2) physical manifestation of quasistatic oscillations is sensitive to material properties, stiffness, and the nature and magnitude of load perturbations.
Crack growth initiation and subsequent resistance is computed for an elastic-plastic solid with an idealized traction -separation law specified on the crack plane to characterize the fracture process. The solid is specified by its Young's modulus,E, Poisson's ratio, v, initial tensile yield stress, σ Y ,and strain hardening exponent,N. The primary parameters specifying the traction—separation law of the fracture process are the work of separation per unit area, Γ0, and the peak traction, σ̌gs. Highly refined calculations have been carried out for resistance curves, K R (Δa), for plane strain, mode I growth in small-scale yielding as dependent on the parameters characterizing the elastic-plastic properties of the solid and its fracture process. With K0= [ Eγ0 (1 − v2) ] 1 2 as the intensity needed to advance the crack in the absence of plasticity, KR K0 is presented in terms of its dependence on the two most important parameters, σ ̌ σY and N, with special emphasis on initiation toughness and steady-state toughness. Three applications of the results are made : to predict toughnesss when the fracture process is void growth and coalescence, to predict the role of plasticity on interface toughness for similar materials bonded together, and to illuminate the role of plasticity in enhancing toughness in dual-phase solids. The regime of applicability of the present model to ductile fracture due to void growth and coalescence, wherein multiple voids interact within the fracture process zone, is complementary to the regime of applicability of models describing the interaction between a single void and the crack tip. The two mechanism regimes are delineated and the consequence of a transition between them is discussed.