@article {396, title = {The structure and physical properties of a packaged bacteriophage particle}, journal = {Nature}, volume = {627}, year = {2024}, month = {03/2024}, pages = {905-914}, chapter = {905}, abstract = {

A string of nucleotides confined within a protein capsid contains all the instructions necessary to make a functional virus particle, a virion. Although the structure of the protein capsid is known for many virus species, the three-dimensional organization of viral genomes has mostly eluded experimental probes. Here we report all-atom structural models of an HK97 virion, including its entire 39,732 base pair genome, obtained through multiresolution simulations. Mimicking the action of a packaging motor, the genome was gradually loaded into the capsid. The structure of the packaged capsid was then refined through simulations of increasing resolution, which produced a 26 million atom model of the complete virion, including water and ions confined within the capsid. DNA packaging occurs through a loop extrusion mechanism that produces globally different configurations of the packaged genome and gives each viral particle individual traits. Multiple microsecond-long all-atom simulations characterized the effect of the packaged genome on capsid structure, internal pressure, electrostatics and diffusion of water, ions and DNA, and revealed the structural imprints of the capsid onto the genome. Our approach can be generalized to obtain complete all-atom structural models of other virus species, thereby potentially revealing new drug targets at the genome{\textendash}capsid interface.

}, keywords = {DNA packaging, Multiresolution simulation, virology}, doi = {https://doi.org/10.1038/s41586-024-07150-4}, url = {https://www.nature.com/articles/s41586-024-07150-4$\#$Abs1}, author = {Kush Coshic and Christopher Maffeo and David Winogradoff and Aleksei Aksimentiev} } @article {386, title = {Super-Resolution Detection of DNA Nanostructures Using a Nanopore}, journal = {Advanced Materials}, year = {2023}, month = {01/2023}, pages = {2207434}, abstract = {

Abstract High-resolution analysis of biomolecules has brought unprecedented insights into fundamental biological processes and dramatically advanced biosensing. Notwithstanding the ongoing resolution revolution in electron microscopy and optical imaging, only a few methods are presently available for high-resolution analysis of unlabelled single molecules in their native states. Here, we demonstrate label-free electrical sensing of structured single molecules with a spatial resolution down to single-digit nanometres. Using a narrow solid-state nanopore, we detect the passage of a series of nanostructures attached to a freely translocating DNA molecule, resolving individual nanostructures placed as close as 6\ nm apart and with a surface-to-surface gap distance of only 2\ nm. We attribute such super-resolution ability to the nanostructure-induced enhancement of the electric field at the tip of the nanopore. Our work demonstrates a general approach to improving the resolution of single-molecule nanopore sensing and presents a critical advance towards label-free, high-resolution DNA sequence mapping and digital information storage independent of molecular motors.

}, keywords = {biosensing, DNA nanostructures, Nanopores, single molecule, super resolution}, doi = {https://doi.org/10.1002/adma.202207434}, author = {Chen, Kaikai and Choudhary, Adnan and Sandler, Sarah E. and Maffeo, Christopher and Ducati, Caterina and Aksimentiev, Aleksei and Keyser, Ulrich F.} } @article {392, title = {Sulfur-Containing Foldamer-Based Artificial Lithium Channels}, journal = {Angewandte Chemie International Edition}, volume = {62}, year = {2023}, pages = {e202305623}, abstract = {

Abstract Unlike many other biologically relevant ions (Na+, K+, Ca2+, Cl-, etc) and protons, whose cellular concentrations are closely regulated by highly selective channel proteins, Li+ ion is unusual in that its concentration is well tolerated over many orders of magnitude and that no lithium-specific channel proteins have so far been identified. While one naturally evolved primary pathway for Li+ ions to traverse across the cell membrane is through sodium channels by competing with Na+ ions, highly sought-after artificial lithium-transporting channels remain a major challenge to develop. Here we show that sulfur-containing organic nanotubes derived from intramolecularly H-bonded helically folded aromatic foldamers of 3.6\ {\r A}\ in hollow cavity diameter could facilitate highly selective and efficient transmembrane transport of Li+ ions, with high transport selectivity factors of 15.3 and 19.9 over Na+ and K+ ions, respectively.

}, keywords = {Foldamers, H-Bonds, Lithium Channels, Organic Nanotubes, Supramolecular Chemistry}, doi = {https://doi.org/10.1002/anie.202305623}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/anie.202305623}, author = {Shen, Jie and R, Deepa and Li, Zhongyan and Oh, Hyeonji and Behera, Harekrushna and Joshi, Himanshu and Kumar, Manish and Aksimentiev, Aleksei and Zeng, Huaqiang} } @article {373, title = {Single-molecule biophysics experiments in silico: Toward a physical model of a replisome}, journal = {iScience}, volume = {25}, year = {2022}, month = {05/2022}, pages = {104264}, abstract = {

The interpretation of single-molecule experiments is frequently aided by computational modeling of biomolecular dynamics. The growth of computing power and ongoing validation of computational models suggest that it soon may be possible to replace some experiments outright with computational mimics. Here, we offer a blueprint for performing single-molecule studies in silico using a DNA-binding protein as a test bed. We demonstrate how atomistic simulations, typically limited to sub-millisecond durations and zeptoliter volumes, can guide development of a coarse-grained model for use in simulations that mimic single-molecule experiments. We apply the model to recapitulate, in silico, force-extension characterization of protein binding to single-stranded DNA and protein and DNA replacement assays, providing a detailed portrait of the underlying mechanics. Finally, we use the model to simulate the trombone loop of a replication fork, a large complex of proteins and DNA.

}, doi = {10.1016/j.isci.2022.104264}, url = {https://api.elsevier.com/content/article/PII:S258900422200534}, author = {Maffeo, Christopher and Chou, Han-Yi and Aleksei Aksimentiev} } @article {360, title = {Synthetic Macrocycle Nanopore for Potassium-Selective Transmembrane Transport}, journal = {Journal of the American Chemical Society}, volume = {143}, year = {2021}, month = {08/2021}, pages = {15975-15983}, chapter = {15975}, abstract = {

Reproducing the structure and function of biological membrane channels, synthetic nanopores have been developed for applications in membrane filtration technologies and biomolecular sensing. Stable stand-alone synthetic nanopores have been created from a variety of materials, including peptides, nucleic acids, synthetic polymers, and solid-state membranes. In contrast to biological nanopores, however, furnishing such synthetic nanopores with an atomically defined shape, including deliberate placement of each and every chemical group, remains a major challenge. Here, we introduce a chemosynthetic macromolecule,\ extended pillararene macrocycle (EPM) as a chemically defined transmembrane nanopore that exhibits selective transmembrane transport. Our ionic current measurements reveal stable insertion of individual EPM nanopores into a lipid bilayer membrane and remarkable cation type-selective transport, with up to a 21-fold selectivity for potassium over sodium ions. Taken together, direct chemical synthesis offers a path to de novo design of a new class of synthetic nanopores with custom transport functionality imprinted in their atomically defined chemical structure.\ 

}, keywords = {Electrical conductivity, MD Simulations, Nanopores, Potassium Ions Selectivity}, doi = {10.1021/jacs.1c04910}, author = {Qiao, Dan and Joshi, Himanshu and Zhu, Huangtianzhi and Wang, Fushi and Xu, Yang and Gao, Jia and Huang, Feihe and Aleksei Aksimentiev and Feng, Jiandong} } @article {335, title = {Scalable molecular dynamics on CPU and GPU architectures with NAMD}, journal = {J. Chem. Phys.}, volume = {153}, year = {2020}, month = {07/2020}, chapter = {044130}, abstract = {

NAMD is a molecular dynamics program designed for high-performance simulations of very large biological objects on CPU- and GPU- based architectures. NAMD offers scalable performance on petascale parallel supercomputers consisting of hundreds of thousands of cores, as well as on inexpensive commodity clusters commonly found in academic environments. It is written in C++ and leans on Charm++ parallel objects for optimal performance on low-latency architectures. NAMD is a versatile, multipurpose code that gathers state-of-the-art algorithms to carry out simulations in apt thermodynamic ensembles, using the widely popular CHARMM, AMBER, OPLS, and GROMOS biomolec- ular force fields. Here, we review the main features of NAMD that allow both equilibrium and enhanced-sampling molecular dynamics\ simulations with numerical efficiency. We describe the underlying concepts utilized by NAMD and their implementation, most notably for handling long-range electrostatics; controlling the temperature, pressure, and pH; applying external potentials on tailored grids; leveraging massively parallel resources in multiple-copy simulations; and hybrid quantum-mechanical/molecular-mechanical descriptions. We detail the variety of options offered by NAMD for enhanced-sampling simulations aimed at determining free-energy differences of either alchem- ical or geometrical transformations and outline their applicability to specific problems. Last, we discuss the roadmap for the development of NAMD and our current efforts toward achieving optimal performance on GPU-based architectures, for pushing back the limitations that have prevented biologically realistic billion-atom objects to be fruitfully simulated, and for making large-scale simulations less expensive and easier to set up, run, and analyze. NAMD is distributed free of charge with its source code at www.ks.uiuc.edu.

}, doi = {10.1063/5.0014475}, author = {James C. Phillips and David J. Hardy and Julio D. C. Maia and John E. Stone and Jo{\~a}o V. Ribeiro and Rafael C. Bernardi and Ronak Buch and Giacomo Fiorin and J{\'e}r{\^o}me H{\'e}nin and Wei Jiang and Ryan McGreevy and Marcelo C. R. Melo and Brian K. Radak and Robert D. Skeel and Abhishek Singharoy and Yi Wang and Beno{\^\i}t Roux and Aleksei Aksimentiev and Zaida Luthey-Schulten and Laxmikant V. Kal{\'e} and Klaus Schulten and Christophe Chipot and Emad Tajkhorshid} } @article {337, title = {Single-Protein Collapse Determines Phase Equilibria of a Biological Condensate}, journal = {J. Phys. Chem. Lett. }, volume = {11}, year = {2020}, month = {05/2020}, pages = {4923 - 4929}, chapter = {4923}, abstract = {

Recent advances in microscopy of living cells have established membraneless organelles as critical elements of diverse
biological processes. The body of experimental work suggests that formation of such organelles is driven by liquid-liquid phase separation, a physical process that has been studied extensively for both simple liquids and mixtures of polymers. Here, we combine molecular dynamics simulations with polymer theory to show that the thermodynamic behavior of one particular biomolecular condensate--fused in sarcoma (FUS)--can be quantitatively accounted for at the level of the chain collapse theory. First, we show that a particle-based molecular dynamics model can reproduce known phase separation properties of a FUS condensate, including its critical concentration and susceptibility to mutations. Next, we obtain a polymer physics representation of a FUS condensate by examining the behavior of a single FUS protein as a function of temperature. We use the chain collapse theory to determine the thermodynamic properties of the condensate and to characterize changes in the single-chain conformation at the onset of phase separation. Altogether, our findings suggest that the phase behavior of FUS condensates can be explained by the properties of individual FUS proteins and that the change in the FUS conformation is the main force driving for the phase separation

}, author = {Han-Yi Chou and Aleksei Aksimentiev} } @article {307, title = {Single molecule analysis of structural fluctuations in DNA nanostructures}, journal = {Nanoscale}, volume = {11}, year = {2019}, month = {10/2019}, pages = {18475 - 18482}, abstract = {

DNA origami is an excellent tool for building complex artificial nanostructures. Functionalization of these structures provides the possibility of precise organization of matter at the nanoscale. In practice, efforts in this endeavour can be impeded by electrostatic repulsion or other dynamics at the molecular scale, resulting in uncompliant local structures. Using single molecule FRET microscopy combined with coarse-grained Brownian dynamics simulations, we investigated here the local structure around the lid of a DNA origami box, which can be opened by specific DNA keys. We found that FRET signals for the closed box depend on buffer ion concentrations and small changes to the DNA structure design. Simulations provided a view of the global and local structure and showed that the distance between the box wall and lid undergoes fluctuations. These results provide methods to vizualise and improve the local structure of three-dimensional DNA origami assemblies and offer guidance for exercising control over placement of chemical groups and ligands.

}, issn = {2040-3364}, doi = {10.1039/C9NR03826D}, url = {http://xlink.rsc.org/?DOI=C9NR03826Dhttp://pubs.rsc.org/en/content/articlepdf/2019/NR/C9NR03826Dhttp://pubs.rsc.org/en/content/articlepdf/2019/NR/C9NR03826D}, author = {Jepsen, Mette D. E. and S{\o}rensen, Rasmus Sch{\o}ler and Maffeo, Christopher and Aleksei Aksimentiev and Kjems, J{\o}rgen and Birkedal, Victoria} } @article {302, title = {Step-defect guided delivery of DNA to a graphene nanopore}, journal = {Nature Nanotechnology}, year = {2019}, month = {08/2019}, abstract = {

Precision placement and transport of biomolecules are critical to many single-molecule manipulation and detection methods. One such method is nanopore sequencing, in which the delivery of biomolecules towards a nanopore controls the method{\textquoteright}s throughput. Using all-atom molecular dynamics, here we show that the precision transport of biomolecules can be realized by utilizing ubiquitous features of graphene surface-step defects that separate multilayer domains. Subject to an external force, we found that adsorbed DNA moved much faster down a step defect than up, and even faster along the defect edge, regardless of whether the motion was produced by a mechanical force or a solvent flow. We utilized this direction dependency to demonstrate a mechanical analogue of an electric diode and a system for delivering DNA molecules to a nanopore. The defect-guided delivery principle can be used for the separation, concentration and storage of scarce biomolecular species, on-demand chemical reactions and nanopore sensing.

}, isbn = {1748-3395}, doi = {10.1038/s41565-019-0514-y}, url = {https://doi.org/10.1038/s41565-019-0514-y}, author = {Shankla, Manish and Aleksei Aksimentiev} } @article {292, title = {Sequence-Dependent DNA Condensation as a Driving Force of DNA Phase Separation}, journal = {Nucleic Acids Research}, volume = {46}, year = {2018}, month = {10/2018}, pages = {9401--9413}, abstract = {

The physical properties of DNA have been suggested to play a central role in spatio-temporal organization of eukaryotic chromosomes. Experimental correlations have been established between the local nucleotide content of DNA and the frequency of inter- and intra-chromosomal contacts but the underlying physical mechanism remains unknown. Here, we combine fluorescence resonance energy transfer (FRET) measurements, precipitation assays, and molecular dynamics simulations to characterize the effect of DNA nucleotide content, sequence, and methylation on inter-DNA association and its correlation with DNA looping. First, we show that the strength of DNA condensation mediated by poly-lysine peptides as a reduced model of histone tails depends on the DNA{\textquoteright}s global nucleotide content but also on the local nucleotide sequence, which turns out to be qualitatively same as the condensation by spermine. Next, we show that the presence and spatial arrangement of C5 methyl groups determines the strength of inter-DNA attraction, partially explaining why RNA resists condensation. Interestingly, multi-color single molecule FRET measurements reveal strong anti-correlation between DNA looping and DNA{\textendash}DNA association, suggesting that a common biophysical mechanism underlies them. We propose that the differential affinity between DNA regions of varying sequence pattern may drive the phase separation of chromatin into chromosomal subdomains.

}, doi = {10.1093/nar/gky639 }, author = {Hyunju Kang and Jejoong Yoo and Hong Soo Lee and Byeong-Kwon Sohn and Seung-Won Lee and Wenjie Ma and Jung-Min Kee and Aleksei Aksimentiev and Hajin Kim} } @article {286, title = {A synthetic enzyme built from DNA flips 10$^{7}$ lipids per second in biological membranes}, journal = {Nature Communications}, volume = {9}, year = {2018}, month = {07/2018}, pages = {2426}, abstract = {

Mimicking enzyme function and increasing performance of naturally evolved proteins is one of the most challenging and intriguing aims of nanoscience. Here, we employ DNA nanotechnology to design a synthetic enzyme that substantially outperforms its biological archetypes. Consisting of only eight strands, our DNA nanostructure spontaneously inserts into biological membranes by forming a toroidal pore that connects the membrane{\textquoteright}s inner and outer leaflets. The membrane insertion catalyzes spontaneous transport of lipid molecules between the bilayer leaflets, rapidly equilibrating the lipid composition. Through a combination of microscopic simulations and fluorescence microscopy we find the lipid transport rate catalyzed by the DNA nanostructure exceeds 107 molecules per second, which is three orders of magnitude higher than the rate of lipid transport catalyzed by biological enzymes. Furthermore, we show that our DNA-based enzyme can control the composition of human cell membranes, which opens new avenues for applications of membrane-interacting DNA systems in medicine.

}, keywords = {Computational biophysics, DNA nanostructures, Membrane biophysics, Nanobiotechnology}, doi = {10.1038/s41467-018-04821-5}, url = {http://www.nature.com/articles/s41467-018-04821-5}, author = {Ohmann, Alexander and Li, Chen-Yu and Maffeo, Christopher and Al Nahas, Kareem and Baumann, Kevin N. and G{\"o}pfrich, Kerstin and Yoo, Jejoong and Keyser, Ulrich F. and Aleksei Aksimentiev} } @article {266, title = {SDS-assisted protein transport through solid-state nanopores}, journal = {Nanoscale}, volume = {9}, year = {2017}, month = {05/2017}, pages = {11685-11693}, abstract = {

Using nanopores for single-molecule sequencing of proteins - similar to nanopore-based sequencing of DNA - faces multiple challenges, including unfolding of the complex tertiary structure of the proteins and enforcing their unidirectional translocation through nanopores. Here, we combine molecular dynamics (MD) simulations with single-molecule experiments to investigate the utility of SDS (Sodium Dodecyl Sulfate) to unfold proteins for solid-state nanopore translocation, while simultaneously endowing them with a stronger electrical charge. Our simulations and experiments prove that SDS-treated proteins show a considerable loss of the protein structure during the nanopore translocation. Moreover, SDS-treated proteins translocate through the nanopore in the direction prescribed by the electrophoretic force due to the negative charge impaired by SDS. In summary, our results suggest that SDS causes protein unfolding while facilitating protein translocation in the direction of the electrophoretic force; both characteristics being advantageous for future protein sequencing applications using solid-state nanopores.

}, doi = {10.1039/C7NR02450A}, url = {http://dx.doi.org/10.1039/C7NR02450A}, author = {Restrepo-Perez*, Laura and John*, Shalini and Aleksei Aksimentiev and Joo, Chirlmin and Dekker, Cees} } @article {251, title = {Selective Permeability of Truncated Aquaporin 1 in Silico}, journal = {ACS Biomaterials Science \& Engineering}, volume = {3}, year = {2017}, month = {02/2017}, pages = {342-348}, chapter = {342}, abstract = {

Aquaporin (AQP) proteins function as highly efficient water transport channels that support homeostasis in many types of living cells. Their structure-function relationships have been characterized extensively in fundamental and applied research, primarily via structural analysis, mutational studies, and computational approaches. The present study evaluates the effects of progressive truncations on the permeability and ionic conductivity of AQP-1 (bovine). The use of truncations to determine critical features has not been considered previously, as physical truncation of AQP is likely not technically feasible due to the ornate arrangement of six interwoven alpha helices in a single pore structure. However, structures not obtainable through protein assembly can be realized via synthetic chemistry approaches and studied using molecular dynamics (MD) simulations. Here, we apply the MD method to characterize the permeability of AQP variants truncated along the pore axis from both cytoplasmic and extracellular sides of the channel. The simulation results suggest that AQP-1 can retain its function even after deletion of up to 50\% of the channel{\textquoteright}s length, representing 50\% of proteins{\textquoteright}s molecular mass. Deletions such as these are expected to greatly simplify future biomimicry efforts of reproducing the AQP functionality using synthetic macromolecules. This study demonstrates the potential of in silico approaches to support the creation of streamlined functional analogs of biological molecular machines.

}, doi = {10.1021/acsbiomaterials.6b00583 }, author = {Karl Decker and Martin Page and Ashley Boyd and Irene MacAllister and Mark Ginsberg and Aleksei Aksimentiev} } @article {212, title = {The structure and intermolecular forces of DNA condensates}, journal = {Nucleic Acids Research}, volume = {44}, year = {2016}, pages = {2036{\textendash}2046}, abstract = {

Spontaneous assembly of DNA molecules into compact structures is ubiquitous in biological systems. Experiment has shown that polycations can turn electrostatic self-repulsion of DNA into attraction, yet the physical mechanism of DNA condensation has remained elusive. Here, we report the results of atomistic molecular dynamics simulations that elucidated the microscopic structure of dense DNA assemblies and the physics of interactions that makes such assemblies possible. Reproducing the setup of the DNA condensation experiments, we measured the internal pressure of DNA arrays as a function of the DNA{\textendash}DNA distance, showing a quantitative agreement between the results of our simulations and the experimental data. Analysis of the MD trajectories determined the DNA{\textendash}DNA force in a DNA condensate to be pairwise, the DNA condensation to be driven by electrostatics of polycations and not hydration, and the concentration of bridging cations, not adsorbed cations, to determine the magnitude and the sign of the DNA{\textendash}DNA force. Finally, our simulations quantitatively characterized the orientational correlations of DNA in DNA arrays as well as diffusive motion of DNA and cations.

}, doi = {10.1093/nar/gkw081}, author = {Jejoong Yoo and Aleksei Aksimentiev} } @article {160, title = {Slowing DNA Transport Using Graphene{\textendash}DNA Interactions}, journal = {Advanced Functional Materials}, volume = {25}, year = {2015}, month = {02/2015}, pages = {936{\textendash}946}, abstract = {

Slowing down DNA translocation speed in a nanopore is essential to ensuring reliable resolution of individual bases. Thin membrane materials enhance spatial resolution but simultaneously reduce the temporal resolution as the molecules translocate far too quickly. In this study, the effect of exposed graphene layers on the transport dynamics of both single (ssDNA) and double-stranded DNA (dsDNA) through nanopores is examined. Nanopore devices with various combinations of graphene and Al2O3 dielectric layers in stacked membrane structures are fabricated. Slow translocations of ssDNA in nanopores drilled in membranes with layers of graphene are reported. The increased hydrophobic interactions between the ssDNA and the graphene layers could explain this phenomenon. Further confirmation of the hydrophobic origins of these interactions is obtained through reporting significantly faster translocations of dsDNA through these graphene layered membranes. Molecular dynamics simulations confirm the preferential interactions of DNA with the graphene layers as compared to the dielectric layer verifying the experimental findings. Based on our findings, we propose that the integration of multiple stacked graphene layers could slow down DNA enough to enable the identification of nucleobases.

}, keywords = {graphene, graphene{\textendash}DNA interactions, Molecular dynamics, Nanopores, stacked membranes}, issn = {1616-3028}, doi = {10.1002/adfm.201403719}, url = {http://dx.doi.org/10.1002/adfm.201403719}, author = {Banerjee, Shouvik and James Wilson and Shim, Jiwook and Shankla, Manish and Corbin, Elise A. and Aleksei Aksimentiev and Rashid Bashir} } @article {220, title = {Shearing of the CENP-A dimerization interface mediates plasticity in the octameric centromeric nucleosome}, journal = {Scientific reports}, volume = {5}, year = {2015}, doi = {10.1038/srep17038}, author = {Winogradoff, David and Zhao, Haiqing and Dalal, Yamini and Papoian, Garegin A} } @article {14, title = {A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore}, journal = {Commun Comput Phys}, volume = {15}, year = {2014}, month = {01/2014}, pages = {93-125}, abstract = {

The conventional Poisson-Nernst-Planck equations do not account for the finite size of ions explicitly. This leads to solutions featuring unrealistically high ionic concentrations in the regions subject to external potentials, in particular, near highly charged surfaces. A modified form of the Poisson-Nernst-Planck equations accounts for steric effects and results in solutions with finite ion concentrations. Here, we evaluate numerical methods for solving the modified Poisson-Nernst-Planck equations by modeling electric field-driven transport of ions through a nanopore. We describe a novel, robust finite element solver that combines the applications of the Newton{\textquoteright}s method to the nonlinear Galerkin form of the equations, augmented with stabilization terms to appropriately handle the drift-diffusion processes. To make direct comparison with particle-based simulations possible, our method is specifically designed to produce solutions under periodic boundary conditions and to conserve the number of ions in the solution domain. We test our finite element solver on a set of challenging numerical experiments that include calculations of the ion distribution in a volume confined between two charged plates, calculations of the ionic current though a nanopore subject to an external electric field, and modeling the effect of a DNA molecule on the ion concentration and nanopore current.

}, issn = {1815-2406}, doi = {10.4208/cicp.101112.100413a}, author = {Chaudhry, Jehanzeb Hameed and Jeffrey Comer and Aleksei Aksimentiev and Olson, Luke N} } @article {Carson20142381, title = {Smooth DNA Transport through a Narrowed Pore Geometry}, journal = {Biophysical Journal}, volume = {107}, number = {10}, year = {2014}, pages = {2381 - 2393}, abstract = {

Voltage-driven transport of double-stranded DNA through nanoscale pores holds much potential for applications in quantitative molecular biology and biotechnology, yet the microscopic details of translocation have proven to be challenging to decipher. Earlier experiments showed strong dependence of transport kinetics on pore size: fast regular transport in large pores (\> 5 nm diameter), and slower yet heterogeneous transport time distributions in sub-5 nm pores, which imply a large positional uncertainty of the DNA in the pore as a function of the translocation time. In this work, we show that this anomalous transport is a result of DNA self-interaction, a phenomenon that is strictly pore-diameter dependent. We identify a regime in which DNA transport is regular, producing narrow and well-behaved dwell-time distributions that fit a simple drift-diffusion theory. Furthermore, a systematic study of the dependence of dwell time on DNA length reveals a single power-law scaling of 1.37 in the range of 35{\textendash}20,000 bp. We highlight the resolution of our nanopore device by discriminating via single pulses 100 and 500 bp fragments in a mixture with \>98\% accuracy. When coupled to an appropriate sequence labeling method, our observation of smooth DNA translocation can pave the way for high-resolution DNA mapping and sizing applications in genomics.

}, issn = {0006-3495}, doi = {10.1016/j.bpj.2014.10.017}, url = {http://www.sciencedirect.com/science/article/pii/S0006349514010686}, author = {Spencer Carson and James Wilson and Aleksei Aksimentiev and Meni Wanunu} } @article {135, title = {Single-base DNA discrimination via transverse ionic transport.}, journal = {Nanotechnology}, volume = {24}, year = {2013}, month = {10/2013}, pages = {415101}, abstract = {

We suggest the discrimination of single DNA bases via transverse ionic transport, namely by detecting the ionic current that flows in a channel while a single-stranded DNA is driven through an intersecting nanochannel. Our all-atom molecular dynamics simulations indeed show that the ionic currents of the four bases are statistically distinct, thus offering another possible approach to sequencing DNA.

}, keywords = {Base Sequence, DNA, Single-Stranded, Ion Transport, Ions, Molecular Dynamics Simulation, Nucleic Acid Conformation}, issn = {1361-6528}, doi = {10.1088/0957-4484/24/41/415101}, author = {James Wilson and Massimiliano Di Ventra} } @article {20, title = {Stretching and controlled motion of single-stranded DNA in locally heated solid-state nanopores}, journal = {ACS Nano}, volume = {7}, year = {2013}, month = {08/2013}, pages = {6816-24}, abstract = {

Practical applications of solid-state nanopores for DNA detection and sequencing require the electrophoretic motion of DNA through the nanopores to be precisely controlled. Controlling the motion of single-stranded DNA presents a particular challenge, in part because of the multitude of conformations that a DNA strand can adopt in a nanopore. Through continuum, coarse-grained and atomistic modeling, we demonstrate that local heating of the nanopore volume can be used to alter the electrophoretic mobility and conformation of single-stranded DNA. In the nanopore systems considered, the temperature near the nanopore is modulated via a nanometer-size heater element that can be radiatively switched on and off. The local enhancement of temperature produces considerable stretching of the DNA fragment confined within the nanopore. Such stretching is reversible, so that the conformation of DNA can be toggled between compact (local heating is off) and extended (local heating is on) states. The effective thermophoretic force acting on single-stranded DNA in the vicinity of the nanopore is found to be sufficiently large (4-8 pN) to affect such changes in the DNA conformation. The local heating of the nanopore volume is observed to promote single-file translocation of DNA strands at transmembrane biases as low as 10 mV, which opens new avenues for using solid-state nanopores for detection and sequencing of DNA.

}, issn = {1936-086X}, doi = {10.1021/nn403575n}, author = {Maxim Belkin and Christopher Maffeo and David B Wells and Aleksei Aksimentiev} } @article {31, title = {Slowing down DNA translocation through a nanopore in lithium chloride.}, journal = {Nano Lett}, volume = {12}, year = {2012}, month = {2012 Feb 8}, pages = {1038-44}, abstract = {

The charge of a DNA molecule is a crucial parameter in many DNA detection and manipulation schemes such as gel electrophoresis and lab-on-a-chip applications. Here, we study the partial reduction of the DNA charge due to counterion binding by means of nanopore translocation experiments and all-atom molecular dynamics (MD) simulations. Surprisingly, we find that the translocation time of a DNA molecule through a solid-state nanopore strongly increases as the counterions decrease in size from K(+) to Na(+) to Li(+), both for double-stranded DNA (dsDNA) and single-stranded DNA (ssDNA). MD simulations elucidate the microscopic origin of this effect: Li(+) and Na(+) bind DNA stronger than K(+). These fundamental insights into the counterion binding to DNA also provide a practical method for achieving at least 10-fold enhanced resolution in nanopore applications.

}, keywords = {DNA, Lithium Chloride, Models, Molecular, Molecular Dynamics Simulation, Nanopores, Nanotechnology, Particle Size, Surface Properties}, issn = {1530-6992}, doi = {10.1021/nl204273h}, author = {Kowalczyk, Stefan W and David B Wells and Aleksei Aksimentiev and Dekker, Cees} } @article {40, title = {Surface functionalization of thin-film diamond for highly stable and selective biological interfaces}, journal = {Proc Natl Acad Sci U S A}, volume = {108}, year = {2011}, month = {2011 Jan 18}, pages = {983-8}, abstract = {

Carbon is an extremely versatile family of materials with a wide range of mechanical, optical, and mechanical properties, but many similarities in surface chemistry. As one of the most chemically stable materials known, carbon provides an outstanding platform for the development of highly tunable molecular and biomolecular interfaces. Photochemical grafting of alkenes has emerged as an attractive method for functionalizing surfaces of diamond, but many aspects of the surface chemistry and impact on biological recognition processes remain unexplored. Here we report investigations of the interaction of functionalized diamond surfaces with proteins and biological cells using X-ray photoelectron spectroscopy (XPS), atomic force microscopy, and fluorescence methods. XPS data show that functionalization of diamond with short ethylene glycol oligomers reduces the nonspecific binding of fibrinogen below the detection limit of XPS, estimated as > 97\% reduction over H-terminated diamond. Measurements of different forms of diamond with different roughness are used to explore the influence of roughness on nonspecific binding onto H-terminated and ethylene glycol (EG)-terminated surfaces. Finally, we use XPS to characterize the chemical stability of Escherichia coli K12 antibodies on the surfaces of diamond and amine-functionalized glass. Our results show that antibody-modified diamond surfaces exhibit increased stability in XPS and that this is accompanied by retention of biological activity in cell-capture measurements. Our results demonstrate that surface chemistry on diamond and other carbon-based materials provides an excellent platform for biomolecular interfaces with high stability and high selectivity.

}, keywords = {Antibodies, Bacterial, Avidin, Chemistry, Physical, Diamond, Escherichia coli K12, Ethylene Glycol, Fibrinogen, Fluorescence, Microscopy, Atomic Force, Photoelectron Spectroscopy, Protein Binding, Surface Properties}, issn = {1091-6490}, doi = {10.1073/pnas.1006660107}, author = {Courtney J Stavis and Clare, Tami Lasseter and Butler, James E and Radadia, Adarsh D and Carr, Rogan and Zeng, Hongjun and King, William P and Carlisle, John A and Aleksei Aksimentiev and Rashid Bashir and Hamers, Robert J} } @article {16, title = {Single molecule force measurements: insights from molecular simulations. Comment on "Biophysical characterization of DNA binding from single molecule force measurements" by Kathy R. Chaurasiya et al.}, journal = {Phys Life Rev}, volume = {7}, year = {2010}, month = {2010 Sep}, pages = {353-4; discussion 358-61}, keywords = {Biophysics, DNA, Microscopy, Atomic Force, Molecular Dynamics Simulation, Nucleic Acid Conformation, Thermodynamics}, issn = {1873-1457}, doi = {10.1016/j.plrev.2010.07.004}, author = {Christopher Maffeo and Aleksei Aksimentiev} } @article {41, title = {Slowing the translocation of double-stranded DNA using a nanopore smaller than the double helix}, journal = {Nanotechnology}, volume = {21}, year = {2010}, month = {2010 Oct 1}, pages = {395501}, abstract = {

It is now possible to slow and trap a single molecule of double-stranded DNA (dsDNA), by stretching it using a nanopore, smaller in diameter than the double helix, in a solid-state membrane. By applying an electric force larger than the threshold for stretching, dsDNA can be impelled through the pore. Once a current blockade associated with a translocating molecule is detected, the electric field in the pore is switched in an interval less than the translocation time to a value below the threshold for stretching. According to molecular dynamics (MD) simulations, this leaves the dsDNA stretched in the pore constriction with the base-pairs tilted, while the B-form canonical structure is preserved outside the pore. In this configuration, the translocation velocity is substantially reduced from 1 bp/10 ns to approximately 1 bp/2 ms in the extreme, potentially facilitating high fidelity reads for sequencing, precise sorting, and high resolution (force) spectroscopy.

}, keywords = {Bacteriophage lambda, DNA, DNA, Viral, Electrochemical Techniques, Microscopy, Electron, Transmission, Molecular Dynamics Simulation, Nanopores, Nanotechnology, Nucleic Acid Conformation, Particle Size}, issn = {1361-6528}, doi = {10.1088/0957-4484/21/39/395501}, author = {Mirsaidov, Utkur and Jeffrey Comer and Valentin Dimitrov and Aleksei Aksimentiev and Gregory Timp} } @article {19, title = {Structure, dynamics, and ion conductance of the phospholamban pentamer}, journal = {Biophys J}, volume = {96}, year = {2009}, month = {2009 Jun 17}, pages = {4853-65}, abstract = {

A 52-residue membrane protein, phospholamban (PLN) is an inhibitor of an adenosine-5{\textquoteright}-triphosphate-driven calcium pump, the Ca2+-ATPase. Although the inhibition of Ca2+-ATPase involves PLN monomers, in a lipid bilayer membrane, PLN monomers form stable pentamers of unknown biological function. The recent NMR structure of a PLN pentamer depicts cytoplasmic helices extending normal to the bilayer in what is known as the bellflower conformation. The structure shows transmembrane helices forming a hydrophobic pore 4 {\r A} in diameter, which is reminiscent of earlier reports of possible ion conductance through PLN pentamers. However, recent FRET measurements suggested an alternative structure for the PLN pentamer, known as the pinwheel model, which features a narrower transmembrane pore and cytoplasmic helices that lie against the bilayer. Here, we report on structural dynamics and conductance properties of the PLN pentamers from all-atom (AA) and coarse-grained (CG) molecular dynamics simulations. Our AA simulations of the bellflower model demonstrate that in a lipid bilayer membrane or a detergent micelle, the cytoplasmic helices undergo large structural fluctuations, whereas the transmembrane pore shrinks and becomes asymmetric. Similar asymmetry of the transmembrane region was observed in the AA simulations of the pinwheel model; the cytoplasmic helices remained in contact with the bilayer. Using the CG approach, structural dynamics of both models were investigated on a microsecond timescale. The cytoplasmic helices of the CG bellflower model were observed to fall against the bilayer, whereas in the CG pinwheel model the conformation of the cytoplasmic helices remained stable. Using steered molecular dynamics simulations, we investigated the feasibility of ion conductance through the pore of the bellflower model. The resulting approximate potentials of mean force indicate that the PLN pentamer is unlikely to function as an ion channel.

}, keywords = {Calcium-Binding Proteins, Cell Membrane, Computer Simulation, Cytoplasm, Humans, Hydrophobic and Hydrophilic Interactions, Ions, Lipid Bilayers, Micelles, Models, Molecular, Protein Multimerization, Protein Structure, Quaternary}, issn = {1542-0086}, doi = {10.1016/j.bpj.2009.03.053}, author = {Christopher Maffeo and Aleksei Aksimentiev} } @article {55, title = {Strain softening in stretched DNA}, journal = {Phys Rev Lett}, volume = {101}, year = {2008}, month = {2008 Sep 12}, pages = {118101}, abstract = {

The microscopic mechanics of DNA stretching was characterized using extensive molecular dynamics simulations. By employing an anisotropic pressure-control method, realistic force-extension dependences of effectively infinite DNA molecules were obtained. A coexistence of B and S DNA domains was observed during the overstretching transition. The simulations revealed that strain softening may occur in the process of stretching torsionally constrained DNA. The latter observation was qualitatively reconciled with available experimental data using a random-field Ising model.

}, keywords = {Computer Simulation, DNA, Elasticity, Kinetics, Models, Molecular, Nucleic Acid Conformation, Thermodynamics}, issn = {0031-9007}, author = {Luan, Binquan and Aleksei Aksimentiev} } @article {58, title = {Synthetic ion channels via self-assembly: a route for embedding porous polyoxometalate nanocapsules in lipid bilayer membranes}, journal = {Nano Lett}, volume = {8}, year = {2008}, month = {2008 Nov}, pages = {3916-21}, abstract = {

Porous polyoxometalate nanocapsules of Keplerate type are known to exhibit the functionality of biological ion channels; however, their use as an artificial ion channel is tempered by the high negative charge of the capsules, which renders their spontaneous incorporation into a lipid bilayer membrane unlikely. In this Letter we report coarse-grained molecular dynamics simulations that demonstrate a route for embedding negatively charged nanocapsules into lipid bilayer membranes via self-assembly. A homogeneous mixture of water, cationic detergent, and phospholipid was observed to spontaneously self-assemble around the nanocapsule into a layered, liposome-like structure, where the nanocapsule was enveloped by a layer of cationic detergent followed by a layer of phospholipid. Fusion of such a layered liposome with a lipid bilayer membrane was observed to embed the nanocapsule into the lipid bilayer. The resulting assembly was found to remain stable even after the surface of the capsule was exposed to electrolyte. In the latter conformation, water was observed to flow into and out of the capsule as Na(+) cations entered, suggesting that a polyoxometalate nanocapsule can form a functional synthetic ion channel in a lipid bilayer membrane.

}, keywords = {Ion Channels, Kinetics, Lipid Bilayers, Liposomes, Models, Molecular, Molecular Conformation, Nanocapsules, Porosity, Tungsten Compounds}, issn = {1530-6984}, doi = {10.1021/nl802366k}, author = {Carr, Rogan and Weinstock, Ira A and Sivaprasadarao, Asipu and M{\"u}ller, Achim and Aleksei Aksimentiev} } @article {60, title = {Stretching and unzipping nucleic acid hairpins using a synthetic nanopore}, journal = {Nucleic Acids Res}, volume = {36}, year = {2008}, month = {2008 Mar}, pages = {1532-41}, abstract = {

We have explored the electromechanical properties of DNA by using an electric field to force single hairpin molecules to translocate through a synthetic pore in a silicon nitride membrane. We observe a threshold voltage for translocation of the hairpin through the pore that depends sensitively on the diameter and the secondary structure of the DNA. The threshold for a diameter 1.5 < d < 2.3 nm is V > 1.5 V, which corresponds to the force required to stretch the stem of the hairpin, according to molecular dynamics simulations. On the other hand, for 1.0 < d < 1.5 nm, the threshold voltage collapses to V < 0.5 V because the stem unzips with a lower force than required for stretching. The data indicate that a synthetic nanopore can be used like a molecular gate to discriminate between the secondary structures in DNA.

}, keywords = {Biological Transport, DNA, Electric Conductivity, Membranes, Artificial, Models, Molecular, Nanostructures, Nucleic Acid Conformation, Silicon Compounds}, issn = {1362-4962}, doi = {10.1093/nar/gkm1017}, author = {Zhao, Q and Jeffrey Comer and Valentin Dimitrov and Yemenicioglu, S and Aleksei Aksimentiev and Gregory Timp} } @article {63, title = {Structure refinement of the OpcA adhesin using molecular dynamics}, journal = {Biophys J}, volume = {93}, year = {2007}, month = {2007 Nov 1}, pages = {3058-69}, abstract = {

OpcA from Neisseria meningitidis, the causative agent of meningococcal meningitis and septicemia, is an integral outer membrane protein that facilitates meningococcal adhesion through binding the proteoglycan receptors of susceptible cells. Two structures of OpcA have been determined by x-ray diffraction to 2 A resolution, revealing dramatically different conformations in the extracellular loops--the protein domain implicated in proteoglycan binding. In the first structure, a positively charged crevice formed by loops 1 and 2 was identified as the site for binding proteoglycans, whereas in the second structure the crevice was not evident as loops 1 and 2 adopted different conformations. To reconcile these results, molecular-dynamics simulations were carried out on both structures embedded in a solvated lipid bilayer membrane. Free of crystal contacts and crystallization agents, the loops were observed to undergo large structural transformations, suggesting that the conformation of the loops in either x-ray structure is affected by crystallization. Subsequent simulations of both structures in their crystal lattices confirmed this conclusion. Based on our molecular-dynamics trajectories, we propose a model for OpcA that combines stable structural features of the available x-ray structures. In this model, all five extracellular loops of OpcA have stable secondary structures. The loops form a funnel that leads to the base of the beta-barrel and that includes Tyr-169 on its exposed surface, which has been implicated in proteoglycan binding.

}, keywords = {Adhesins, Bacterial, Bacterial Outer Membrane Proteins, Computer Simulation, Crystallography, X-Ray, Models, Molecular, Neisseria meningitidis, Protein Structure, Tertiary, Thermodynamics}, issn = {0006-3495}, doi = {10.1529/biophysj.107.106724}, author = {Luan, Binquan and Caffrey, Martin and Aleksei Aksimentiev} } @article {191, title = {Simulation of the electric response of DNA translocation through a semiconductor nanopore-capacitor}, journal = {Nanotechnology}, volume = {17}, year = {2006}, pages = {622{\textendash}633}, abstract = {

A multi-scale/multi-material computational model for simulation of the electric signal detected on the electrodes of a metal{\textendash}oxide{\textendash}semiconductor (MOS) capacitor forming a nanoscale artificial membrane, and containing a nanopore with translocating DNA, is presented. The multi-scale approach is based on the incorporation of a molecular dynamics description of a translocating DNA molecule in the nanopore within a three-dimensional Poisson equation self-consistent scheme involving electrolytic and semiconductor charges for the electrostatic potential calculation. The voltage signal obtained from the simulation supports the possibility for single nucleotide resolution with a nanopore device. The electric signal predicted on the capacitor electrodes complements ongoing experiments exploring the use of nanopores in a MOS capacitor membrane for DNA sequencing.

}, doi = {10.1088/0957-4484/17/3/002}, author = {Maria E. Gracheva and A. Xiong and Aleksei Aksimentiev and Klaus Schulten and Gregory Timp and Jean-Pierre Leburton} } @article {69, title = {Stretching DNA using the electric field in a synthetic nanopore}, journal = {Nano Lett}, volume = {5}, year = {2005}, month = {2005 Oct}, pages = {1883-8}, abstract = {

The mechanical properties of DNA over segments comparable to the size of a protein-binding site (3-10 nm) are examined using an electric-field-induced translocation of single molecules through a nanometer diameter pore. DNA, immersed in an electrolyte, is forced through synthetic pores ranging from 0.5 to 1.5 nm in radius in a 10 nm thick Si(3)N(4) membrane using an electric field. To account for the stretching and bending, we use molecular dynamics to simulate the translocation. We have found a threshold for translocation that depends on both the dimensions of the pore and the applied transmembrane bias. The voltage threshold coincides with the stretching transition that occurs in double-stranded DNA near 60 pN.

}, keywords = {DNA, Nanotechnology, Static Electricity, Stress, Mechanical}, issn = {1530-6984}, doi = {10.1021/nl0510816}, author = {Jiunn B Heng and Aleksei Aksimentiev and Chuen Ho and Patrick Marks and Yelena V Grinkova and S Sligar and Klaus Schulten and Gregory Timp} } @article {74, title = {Sizing DNA using a nanometer-diameter pore}, journal = {Biophys J}, volume = {87}, year = {2004}, month = {2004 Oct}, pages = {2905-11}, abstract = {

Each species from bacteria to human has a distinct genetic fingerprint. Therefore, a mechanism that detects a single molecule of DNA represents the ultimate analytical tool. As a first step in the development of such a tool, we have explored using a nanometer-diameter pore, sputtered in a nanometer-thick inorganic membrane with a tightly focused electron beam, as a transducer that detects single molecules of DNA and produces an electrical signature of the structure. When an electric field is applied across the membrane, a DNA molecule immersed in electrolyte is attracted to the pore, blocks the current through it, and eventually translocates across the membrane as verified unequivocally by gel electrophoresis. The relationship between DNA translocation and blocking current has been established through molecular dynamics simulations. By measuring the duration and magnitude of the blocking current transient, we can discriminate single-stranded from double-stranded DNA and resolve the length of the polymer.

}, keywords = {DNA, Electrochemistry, Nanotechnology, Particle Size, Porosity, Reproducibility of Results, Sensitivity and Specificity, Ultrafiltration}, issn = {0006-3495}, doi = {10.1529/biophysj.104.041814}, author = {Jiunn B Heng and Chuen Ho and Kim, Taekyung and Timp, Rolf and Aleksei Aksimentiev and Yelena V Grinkova and S Sligar and Klaus Schulten and Gregory Timp} } @article {79, title = {Scaling of the Euler characteristic, surface area, and curvatures in the phase separating or ordering systems}, journal = {Phys Rev Lett}, volume = {86}, year = {2001}, month = {2001 Jan 8}, pages = {240-3}, abstract = {

We present robust scaling laws for the Euler characteristic and curvatures applicable to any symmetric system undergoing phase separating or ordering kinetics. We apply it to the phase ordering in a system of the nonconserved scalar order parameter and find three scaling regimes. The appearance of the preferred nonzero curvature of an interface separating +/- domains marks the crossover to the late stage regime characterized by the Lifshitz-Cahn-Allen scaling.

}, issn = {0031-9007}, author = {Marcin Fialkowski and Aleksei Aksimentiev and Robert Ho{\l}yst} } @article {181, title = {Scaling properties of the morphological measures at the early and intermediate stages of the spinodal decomposition in homopolymer blends}, journal = {The Journal of Chemical Physics}, volume = {112}, year = {2000}, pages = {6049{\textendash}6062}, abstract = {

The spinodal decomposition of the homopolymer blends has been studied by the numerical integration of the Cahn{\textendash}Hilliard{\textendash}Cook equation. We have investigated the time evolution of the morphological measures that characterize quantitatively the interface in the system. For symmetric blends we have found that the Euler characteristic of the interface is negative and increases with time as τ0.75 (connectivity of the domains decreases) regardless of the final quench temperature. The homogeneity index of the interface is constant in this case. This suggests that at the level of the integral geometry quantities (Minkowski functionals), the dynamic scaling hypothesis holds for the evolution of the interface morphology in quenched critical systems. The nonuniversal morphological evolution of the asymmetric blends have been studied. Also, we have shown that the thermal fluctuations can modify significantly the curvature distribution.

}, doi = {10.1063/1.481178}, author = {Aleksei Aksimentiev and Krzysztof Moorthi and Robert Ho{\l}yst} } @article {177, title = {Single chain conformations in the system of symmetric and asymmetric diblock copolymers}, journal = {Macromolecular Theory and Simulations}, volume = {8}, year = {1999}, pages = {328{\textendash}342}, abstract = {

A theory which describes a local structure and global properties of a diblock copolymer melt has been developed in the framework of the one-loop self-consistent approximation. We have derived expressions for the sizes of a single diblock macromolecule and its parts. Two different behaviors of single macromolecule conformations in the disordered melt have been obtained depending on the asymmetry of chains and morphologies occurring in ordered states after the order-disorder transition (ODT). In the nearly symmetric melt, 0.35 \< f ⪇ 0.5 (f is a composition), the blocks of both types shrink a little initially as the temperature decreases and then, at some temperature, they begin to swell. In strongly asymmetric melts, f \< 0.35, the block of a macromolecule which consists of the monomers of minority type shrinks monotonically, while the other block monotonically swells. We have found nearly Gaussian behavior of the individual blocks and stretching near the chemical bond joining the blocks. Near the ODT the chains are stretched with a magnitude which is of the order of a few percent of their Gaussian sizes. We have calculated the peak position in the scattering curve as a function of the Flory-Huggins interaction parameter, composition and degree of polymerization. Less then 5\% change in the size of copolymer molecules lead to a 25\% shift of the scattering peak in comparison to the Gaussian limit. We have found a good quantitative agreement of our theoretical results with the experimental neutron scattering data.

}, doi = {10.1002/(SICI)1521-3919(19990701)8:4<328::AID-MATS328>3.0.CO;2-3}, author = {Aleksei Aksimentiev and Robert Ho{\l}yst} } @article {179, title = {Single-chain statistics in polymer systems}, journal = {Progress in Polymer Science}, volume = {24}, year = {1999}, pages = {1045{\textendash}1093}, abstract = {

In this review we study the behavior of a single labelled polymer chain in various polymer systems: polymer blends, diblock copolymers, gradient copolymers, ring copolymers, polyelectrolytes, grafted homopolymers, rigid nematogenic polymers, polymers in bad and good solvents, fractal polymers and polymers in fractal environments. We discuss many phenomena related to the single chain behavior, such as: collapse of polymers in bad solvents, protein folding, stretching of polymer brushes, coil{\textendash}rod transition in nematogenic main-chain polymers, knot formation in homopolymer melts, and shrinking and swelling of polymers at temperatures close to the bulk transition temperatures. Our description is mesoscopic, based on two models of polymer systems: the Edwards model with Fixman delta interactions, and the Landau{\textendash}Ginzburg model of phase transitions applied to polymers. In particular, we show the derivation of the Landau{\textendash}Ginzburg model from the Edwards model in the case of homopolymer blends and diblock copolymer melts. In both models, we calculate the radius of gyration and relate them to the correlation function for a single polymer chain. We discuss theoretical results as well as computer simulations and experiments.

}, doi = {10.1016/S0079-6700(99)00023-4}, author = {Aleksei Aksimentiev and Robert Ho{\l}yst} } @article {176, title = {Swelling and shrinking of polymer chains in homopolymer blends}, journal = {Macromolecular Theory and Simulations}, volume = {7}, year = {1998}, pages = {447{\textendash}456}, abstract = {

The radius of gyration, R, of polymer chains in homopolymer blends is studied in the framework of a self-consistent one-loop approximation. We show that the polymer chains can shrink or swell in comparison to the Gaussian chain. Swelling of the polymer chains in a region far away from the critical point is caused by the steric repulsive forces that were included in the model as the constraint of incompressibility. The chains shrink progressively, as we approach the critical region passing through the Gaussian limit, R0 = sqrt(N/6) l, far away from the critical point (N - degree of polymerization, l - length of monomer). The correction responsible for the swelling and the shrinking is small when the concentrations of components ϕ are comparable (N = 1000, \<ϕ\> = 0.5, (R02-R2)/R02 =\ {\textpm}0.02\%). This effect, although small, leads to a local demixing, a sharp shrinking of chains in both components accompanied by a strong change of the global inter-monomer distance, which should be observable experimentally. When the local demixing occurs there is a sudden increase in the scattering intensity (of the order of 30\% for N = 1000, and ϕA = 0.2). The increase of the degree of polymerization of the same type of chains leads to an increase of the swelling-shrinking effects. In addition, the critical concentration of the shorter chains component is smaller in comparison to the value obtained in the Flory-Huggins theory. The self-consistent determination of the radius of gyration and the upper wave-vector cutoff make our model free from any divergences. In the limit of N\ {\textrightarrow} $\infty$ this theory reduces to the random phase approximation (RPA) of de Gennes.

}, doi = {10.1002/(SICI)1521-3919(19990701)8:4<328::AID-MATS328>3.0.CO;2-3}, author = {Aleksei Aksimentiev and Robert Ho{\l}yst} }