Interplay of Protein Binding Interactions,DNA Mechanics,and Entropy in?DNA Looping Kinetics

DNA looping plays a key role in many fundamental biological processes, including gene regulation, recombination, and chromosomal organization. The looping of DNA is often mediated by proteins whose structural features and physical interactions can alter the length scale at which the looping occurs. Looping and unlooping processes are controlled by thermodynamic contributions associated with mechanical deformation of the DNA strand and entropy arising from thermal fluctuations of the conformation. To determine how these confounding effects influence DNA looping and unlooping kinetics, we present a theoretical model that incorporates the role of the protein interactions, DNA mechanics, and conformational entropy. We show that for shorter DNA strands the interaction distance affects the transition state, resulting in a complex relationship between the looped and unlooped state lifetimes and the physical properties of the looped DNA. We explore the range of behaviors that arise with varying interaction distance and DNA length. These results demonstrate how DNA deformation and entropy dictate the scaling of the looping and unlooping kinetics versus the J-factor, establishing the connection between kinetic and equilibrium behaviors. Our results show how the twist-and-bend elasticity of the DNA chain modulates the kinetics and how the influence of the interaction distance fades away at intermediate to longer chain lengths, in agreement with previous scaling predictions.     

Coupling multi-physics models to cardiac mechanics

We outline and review the mathematical framework for representing mechanical deformation and contraction of the cardiac ventricles, and how this behaviour integrates with other processes crucial for understanding and modelling heart function. Building on general conservation principles of space, mass and momentum, we introduce an arbitrary Eulerian–Lagrangian framework governing the behaviour of both fluid and solid components. Exploiting the natural alignment of cardiac mechanical properties with the tissue microstructure, finite deformation measures and myocardial constitutive relations are referred to embedded structural axes. Coupling approaches for solving this large deformation mechanics framework with three dimensional fluid flow, coronary hemodynamics and electrical activation are described. We also discuss the potential of cardiac mechanics modelling for clinical applications.     

Hierarchical Structure Controls Nanomechanical Properties of Vimentin Intermediate Filaments

Intermediate filaments (IFs), in addition to microtubules and microfilaments, are one of the three major components of the cytoskeleton in eukaryotic cells, playing a vital role in mechanotransduction and in providing mechanical stability to cells. Despite the importance of IF mechanics for cell biology and cell mechanics, the structural basis for their mechanical properties remains unknown. Specifically, our understanding of fundamental filament properties, such as the basis for their great extensibility, stiffening properties, and their exceptional mechanical resilience remains limited. This has prevented us from answering fundamental structure-function relationship questions related to the biomechanical role of intermediate filaments, which is crucial to link structure and function in the protein material''s biological context. Here we utilize an atomistic-level model of the human vimentin dimer and tetramer to study their response to mechanical tensile stress, and describe a detailed analysis of the mechanical properties and associated deformation mechanisms. We observe a transition from alpha-helices to beta-sheets with subsequent interdimer sliding under mechanical deformation, which has been inferred previously from experimental results. By upscaling our results we report, for the first time, a quantitative comparison to experimental results of IF nanomechanics, showing good agreement. Through the identification of links between structures and deformation mechanisms at distinct hierarchical levels, we show that the multi-scale structure of IFs is crucial for their characteristic mechanical properties, in particular their ability to undergo severe deformation of ≈300% strain without breaking, facilitated by a cascaded activation of a distinct deformation mechanisms operating at different levels. This process enables IFs to combine disparate properties such as mechanosensitivity, strength and deformability. Our results enable a new paradigm in studying biological and mechanical properties of IFs from an atomistic perspective, and lay the foundation to understanding how properties of individual protein molecules can have profound effects at larger length-scales.     

Structural rigidity of paranemic crossover and juxtapose DNA nanostructures

Crossover motifs are integral components for designing DNA-based nanostructures and nanomechanical devices due to their enhanced rigidity compared to the normal B-DNA. Although the structural rigidity of the double helix B-DNA has been investigated extensively using both experimental and theoretical tools, to date there is no quantitative information about structural rigidity and the mechanical strength of parallel crossover DNA motifs. We have used fully atomistic molecular dynamics simulations in explicit solvent to get the force-extension curve of parallel DNA nanostructures to characterize their mechanical rigidity. In the presence of monovalent Na⁺ ions, we find that the stretch modulus (γ₁) of the paranemic crossover and its topoisomer JX DNA structure is significantly higher (∼30%) compared to normal B-DNA of the same sequence and length. However, this is in contrast to the original expectation that these motifs are almost twice as rigid compared to the double-stranded B-DNA. When the DNA motif is surrounded by a solvent with Mg²⁺ counterions, we find an enhanced rigidity compared to Na⁺ environment due to the electrostatic screening effects arising from the divalent nature of Mg²⁺ ions. To our knowledge, this is the first direct determination of the mechanical strength of these crossover motifs, which can be useful for the design of suitable DNA for DNA-based nanostructures and nanomechanical devices with improved structural rigidity.     

142 Non-canonical base pairing motifs in DNA crystal design

DNA has proved to be a successful material for creation of nanoscale structures because of its inherent programmability and predictable structural features. However, the assembly of periodic three-dimensional (3D) DNA crystals is hampered by the junctions needed to connect the inherently linear Watson–Crick duplexes. Here, we examine how predictable noncanonical base pairing motifs can be used in conjunction with Watson–Crick duplexes to assemble macroscopic 3D crystals with useful nanoscale features. Parallel-stranded homopurine 5′-GGA base pairs serve as a junction region in a continuously base paired 13-mer DNA crystal (Paukstelis et al., 2004). This motif is predictable and has been used in different sequence contexts to rationally design DNA crystals with different lattice dimensions. These designed crystals have been utilized as macromolecular sieves for capturing or excluding proteins (Paukstelis, 2006). Further, we have demonstrated that a protein enzyme encapsulated in the crystal solvent channels is capable of performing catalysis. Enzyme-infused DNA crystals are capable of multiple cycles of catalysis following removal of substrate and products, and may offer potential new routes for enzyme replacement therapies or the creation of new biodegradable solid-state catalysts and sensors. A structurally similar homoparallel region, 5′-CGAA, has also been used to generate crystals that are capable of making concerted in crystallo structural transitions in response to pH perturbations (Muser & Paukstelis, 2012). These studies highlight potential uses of DNA crystals as stimuli-responsive biomaterials. Despite these successes, the ability to use noncanonical DNA motifs in crystal design is limited by both the number of available noncanonical DNA structures, and our understanding of how these structures self-assemble. To address this we have initiated a high-throughput crystallization screen of short DNA oligonucleotides to identify new noncanonical base pairing motifs and to address the broad question: How structurally diverse is DNA?     

Trans-scale Granular Modelling of Cytoskeleton: a Mini-Review

Living cells are the functional unit of organs that controls reactions to their exterior. However, the mechanics of living cells can be difficult to characterize due to the crypticity of their microscale structures and associated dynamic cellular processes. Fortunately, multiscale modelling provides a powerful simulation tool that can be used to study the mechanical properties of these soft hierarchical, biological systems. This paper reviews recent developments in hierarchical multiscale modeling technique that aimed at understanding cytoskeleton mechanics. Discussions are expanded with respects to cytoskeletal components including: intermediate filaments, microtubules and microfilament networks. The mechanical performance of difference cytoskeleton components are discussed with respect to their structural and material properties. Explicit granular simulation methods are adopted with different coarse-grained strategies for these cytoskeleton components and the simulation details are introduced in this review.     

Two crystal forms of the restriction enzyme MspI-DNA complex show the same novel structure

The crystal structure of the Type IIP restriction endonuclease MspI bound to DNA containing its cognate recognition sequence has been determined in both monoclinic and orthorhombic space groups. Significantly, these two independent crystal forms present an identical structure of a novel monomer-DNA complex, suggesting a functional role for this novel enzyme-DNA complex. In both crystals, MspI interacts with the CCGG DNA recognition sequence as a monomer, using an asymmetric mode of recognition by two different structural motifs in a single polypeptide. In the crystallographic asymmetric unit, the two DNA molecules in the two MspI-DNA complexes appear to stack with each other forming an end-to-end pseudo-continuous 19-mer duplex. They are primarily B-form and no major bends or kinks are observed. For DNA recognition, most of the specific contacts between the enzyme and the DNA are preserved in the orthorhombic structure compared with the monoclinic structure. A cation is observed near the catalytic center in the monoclinic structure at a position homologous to the 74/45 metal site of EcoRV, and the orthorhombic structure also shows signs of this same cation. However, the coordination ligands of the metal are somewhat different from those of the 74/45 metal site of EcoRV. Combined with structural information from other solved structures of Type II restriction enzymes, the possible relationship between the structures of the enzymes and their cleavage behaviors is discussed.     

Cell monolayer deformation microscopy reveals mechanical fragility of cell monolayers following EMT

Tissue and cell mechanics are crucial factors in maintaining homeostasis and in development, with aberrant mechanics contributing to many diseases. During the epithelial-to-mesenchymal transition (EMT), a highly conserved cellular program in organismal development and cancer metastasis, cells gain the ability to detach from their original location and autonomously migrate. While a great deal of biochemical and biophysical changes at the single-cell level have been revealed, how the physical properties of multicellular assemblies change during EMT, and how this may affect disease progression, is unknown. Here we introduce cell monolayer deformation microscopy (CMDM), a new methodology to measure the planar mechanical properties of cell monolayers by locally applying strain and measuring their resistance to deformation. We employ this new method to characterize epithelial multicellular mechanics at early and late stages of EMT, finding the epithelial monolayers to be relatively compliant, ductile, and mechanically homogeneous. By comparison, the transformed mesenchymal monolayers, while much stiffer, were also more brittle, mechanically heterogeneous, displayed more viscoelastic creep, and showed sharp yield points at significantly lower strains. Here, CMDM measurements identify specific biophysical functional states of EMT and offer insight into how cell aggregates fragment under mechanical stress. This mechanical fingerprinting of multicellular assemblies using new quantitative metrics may also offer new diagnostic applications in healthcare to characterize multicellular mechanical changes in disease.     

A structural similarity analysis of double-helical DNA

A database of the structural properties of all 32,896 unique DNA octamer sequences has been calculated, including information on stability, the minimum energy conformation and flexibility. The contents of the database have been analysed using a variety of Euclidean distance similarity measures. A global comparison of sequence similarity with structural similarity shows that the structural properties of DNA are much less diverse than the sequences, and that DNA sequence space is larger and more diverse than DNA structure space. Thus, there are many very different sequences that have very similar structural properties, and this may be useful for identifying DNA motifs that have similar functional properties that are not apparent from the sequences. On the other hand, there are also small numbers of almost identical sequences that have very different structural properties, and these could give rise to false-positives in methods used to identify function based on sequence alignment. A simple validation test demonstrates that structural similarity can differentiate between promoter and non-promoter DNA. Combining structural and sequence similarity improves promoter recall beyond that possible using either similarity measure alone, demonstrating that there is indeed information available in the structure of double-helical DNA that is not readily apparent from the sequence.     

Mechanical models for living cells--a review

As physical entities, living cells possess structural and physical properties that enable them to withstand the physiological environment as well as mechanical stimuli occurring within and outside the body. Any deviation from these properties will not only undermine the physical integrity of the cells, but also their biological functions. As such, a quantitative study in single cell mechanics needs to be conducted. In this review, we will examine some mechanical models that have been developed to characterize mechanical responses of living cells when subjected to both transient and dynamic loads. The mechanical models include the cortical shell-liquid core (or liquid drop) models which are widely applied to suspended cells; the solid model which is generally used for adherent cells; the power-law structural damping model which is more suited for studying the dynamic behavior of adherent cells; and finally, the biphasic model which has been widely used to study musculoskeletal cell mechanics. Based upon these models, future attempts can be made to develop even more detailed and accurate mechanical models of living cells once these three factors are adequately addressed: structural heterogeneity, appropriate constitutive relations for each of the distinct subcellular regions and components, and active forces acting within the cell. More realistic mechanical models of living cells can further contribute towards the study of mechanotransduction in cells.     

Fibrin-fiber architecture influences cell spreading and differentiation

ABSTRACT

The mechanical and structural properties of the extracellular matrix (ECM) play an important role in regulating cell fate. The natural ECM has a complex fibrillar structure and shows nonlinear mechanical properties, which are both difficult to mimic synthetically. Therefore, systematically testing the influence of ECM properties on cellular behavior is very challenging. In this work we show two different approaches to tune the fibrillar structure and mechanical properties of fibrin hydrogels. Addition of extra thrombin before gelation increases the protein density within the fibrin fibers without significantly altering the mechanical properties of the resulting hydrogel. On the other hand, by forming a composite hydrogel with a synthetic biomimetic polyisocyanide network the protein density within the fibrin fibers decreases, and the mechanics of the composite material can be tuned by the PIC/fibrin mass ratio. The effect of the changes in gel structure and mechanics on cellular behavior are investigated, by studying human mesenchymal stem cell (hMSC) spreading and differentiation on these gels. We find that the trends observed in cell spreading and differentiation cannot be explained by the bulk mechanics of the gels, but correlate to the density of the fibrin fibers the gels are composed of. These findings strongly suggest that the microscopic properties of individual fibers in fibrous networks play an essential role in determining cell behavior.     

The emergence of ECM mechanics and cytoskeletal tension as important regulators of cell function

The ability to harvest and maintain viable cells from mammalian tissues represented a critical advance in biomedical research, enabling individual cells to be cultured and studied in molecular detail. However, in these traditional cultures, cells are grown on rigid glass or polystyrene substrates, the mechanical properties of which often do not match those of the in vivo tissue from which the cells were originally derived. This mechanical mismatch likely contributes to abrupt changes in cellular phenotype. In fact, it has been proposed that mechanical changes in the cellular microenvironment may alone be responsible for driving specific cellular behaviors. Recent multidisciplinary efforts from basic scientists and engineers have begun to address this hypothesis more explicitly by probing the effects of ECM mechanics on cell and tissue function. Understanding the consequences of such mechanical changes is physiologically relevant in the context of a number of tissues in which altered mechanics may either correlate with or play an important role in the onset of pathology. Examples include changes in the compliance of blood vessels associated with atherosclerosis and intimal hyperplasia, as well as changes in the mechanical properties of developing tumors. Compelling evidence from 2-D in vitro model systems has shown that substrate mechanical properties induce changes in cell shape, migration, proliferation, and differentiation, but it remains to be seen whether or not these same effects translate to 3-D systems or in vivo. Furthermore, the molecular “mechanotransduction” mechanisms by which cells respond to changes in ECM mechanics remain unclear. Here, we provide some historical context for this emerging area of research, and discuss recent evidence that regulation of cytoskeletal tension by changes in ECM mechanics (either directly or indirectly) may provide a critical switch that controls cell function.     

New insights on the role of the gamma-herpesvirus uracil-DNA glycosylase leucine loop revealed by the structure of the Epstein-Barr virus enzyme in complex with an inhibitor protein

Epstein-Barr virus (EBV) is a human gamma-herpesvirus. Within its 86 open reading frame containing genome, two enzymes avoiding uracil incorporation into DNA can be found: uracil triphosphate hydrolase and uracil-DNA glycosylase (UNG). The latter one excises uracil bases that are due to cytosine deamination or uracil misincorporation from double-stranded DNA substrates. The EBV enzyme belongs to family 1 UNGs. We solved the three-dimensional structure of EBV UNG in complex with the uracil-DNA glycosylase inhibitor protein (Ugi) from bacteriophage PBS-2 at a resolution of 2.3 A by X-ray crystallography. The structure of EBV UNG encoded by the BKRF3 reading frame shows the excellent global structural conservation within the solved examples of family 1 enzymes. Four out of the five catalytic motifs are completely conserved, whereas the fifth one, the leucine loop, carries a seven residue insertion. Despite this insertion, catalytic constants of EBV UNG are similar to those of other UNGs. Modelling of the EBV UNG-DNA complex shows that the longer leucine loop still contacts DNA and is likely to fulfil its role of DNA binding and deformation differently than the enzymes with previously solved structures. We could show that despite the evolutionary distance of EBV UNG from the natural host protein, bacteriophage Ugi binds with an inhibitory constant of 8 nM to UNG. This is due to an excellent specificity of Ugi for conserved elements of UNG, four of them corresponding to catalytic motifs and a fifth one corresponding to an important beta-turn structuring the catalytic site.     

Molecular design of the alpha-keratin composite: insights from a matrix-free model, hagfish slime threads

We performed mechanical tests on a matrix-free keratin model-hagfish slime threads-to test the hypothesis that intermediate filaments (IFs) in hydrated hard alpha-keratins are maintained in a partly dehydrated state. This hypothesis predicts that dry IFs should possess mechanical properties similar to the properties of hydrated hard alpha-keratins, and should swell more than hard alpha-keratins in water. Mechanical and swelling measurements of hagfish threads were consistent with both of these predictions, suggesting that an elastomeric keratin matrix resists IF swelling and keeps IF stiffness and yield stress high. The elastomeric nature of the matrix is indirectly supported by the inability of matrix-free IFs (i.e. slime threads) to recover from post-yield deformation. We propose a general conceptual model of the structural mechanics of IF-based materials that predicts the effects of hydration and cross-linking on stiffness, yield stress and extensibility.     

Peptide gels of fully-defined composition and mechanics for probing cell-cell and cell-matrix interactions in vitro

Current materials used for in vitro 3D cell culture are often limited by their poor similarity to human tissue, batch-to-batch variability and complexity of composition and manufacture. Here, we present a “blank slate” culture environment based on a self-assembling peptide gel free from matrix motifs. The gel can be customised by incorporating matrix components selected to match the target tissue, with independent control of mechanical properties. Therefore the matrix components are restricted to those specifically added, or those synthesised by encapsulated cells. The flexible 3D culture platform provides full control over biochemical and physical properties, allowing the impact of biochemical composition and tissue mechanics to be separately evaluated in vitro. Here, we demonstrate that the peptide gels support the growth of a range of cells including human induced pluripotent stem cells and human cancer cell lines. Furthermore, we present proof-of-concept that the peptide gels can be used to build disease-relevant models. Controlling the peptide gelator concentration allows peptide gel stiffness to be matched to normal breast (<1 kPa) or breast tumour tissue (>1 kPa), with higher stiffness favouring the viability of breast cancer cells over normal breast cells. In parallel, the peptide gels may be modified with matrix components relevant to human breast, such as collagen I and hyaluronan. The choice and concentration of these additions affect the size, shape and organisation of breast epithelial cell structures formed in co-culture with fibroblasts. This system therefore provides a means of unravelling the individual influences of matrix, mechanical properties and cell-cell interactions in cancer and other diseases.