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bioRxiv2018

Differential Recordings of Local Field Potential: A Genuine Tool to Quantify Functional Connectivity

Local field potential (LFP) recording is a very useful electrophysiological method to study brain processes. However, this method is criticized for recording low frequency activity in a large area of extracellular space potentially contaminated by distal activity. Here, we theoretically and experimentally compare ground-referenced (RR) with differential recordings (DR). We analyze electrical activity in the rat cortex with these two methods. Compared with RR, DR reveals the importance of local phasic oscillatory activities and their coherence between cortical areas. Finally, we show that DR provides a more faithful assessment of functional connectivity caused by an increase in the signal to noise ratio, and of the delay in the propagation of information between two cortical structures.

biophysics↗

bioRxiv2018

Structure of WT1 zinc fingers bound to its cognate DNA: Implications of the KTS insert

WT1 is a transcription factor with a DNA binding N-terminal domain containing four C2H2-type zinc fingers. In order to perform its role as a transcription factor, WT1 needs to specifically recognize and properly bind to its target DNA. How this is done is still not completely clear. Two of WT1s major isoforms are distinguished by the presence or absence of a 3 amino acid insert, Lysine-Threonine-Serine (KTS) in the linker between zinc-fingers 3 and 4. This KTS insert is conserved throughout all life forms expressing WT1. The -KTS isoform, which acts as a transcription factor, binds DNA with higher affinity than the +KTS isoform, which is thought to participate in RNA splicing and interaction with partner proteins. This study was aims at elucidating the effect of the KTS insert on DNA binding. Here we present the crystal structure of WT1 zinc fingers 2-4, with and without the KTS insert, bound to the WT1 9-base pair cognate DNA sequence, refined to 1.9 [A] and 2.5 [A] respectively. The structures show that the +KTS isoform of WT1 recognizes DNA with the same specificity as the -KTS isoform. The only differences in the DNA bound conformation of the two isoforms are found within the linker containing the KTS, and these mainly involve the loss of the C-capping interactions thought to stabilize the complex. These structures provide the molecular detail necessary for the interpretation of the WT1 transcriptional DNA recognition and validation of its transcriptional targets.

biophysics↗

bioRxiv2018

Hamiltonian distributed chaos in DNA

It is shown that distributed chaos, generated by Hamiltonian DNA dynamics with spontaneously broken time translational symmetry, imprints itself on the DNA sequence of Arabidopsis thaliana (a model plant for genetic sequencing and mapping) and of the NRXN1 and BRCA2 human genes (as an example). The base-stacking interactions in the DNA duplex, degenerate codon groups and a relation to the KAM theory have been discussed in this context.

biophysics↗

bioRxiv2018

Mitochondrial ATP synthase dimers spontaneously self-associate driven by a long-ranged membrane-induced force

ATP synthases populate the inner membranes of mitochondria, where they produce the majority of the ATP required by the cell. Cryo-electron tomograms of these membranes from yeast to vertebrates have consistently revealed a very precise organization of these enzymes. Rather than being scattered throughout the membrane, the ATP synthases form dimers, and these dimers are organized into rows that extend for hundreds of nanometers. These rows are only observed in the membrane invaginations known as cristae, specifically along their sharply curved edges. Although the presence of these macromolecular structures has been irrefutably linked to the proper development of cristae morphology, it has been unclear what drives the formation of the rows and why they are specifically localized in the cristae. We present the result of a quantitative molecular-simulation analysis that strongly suggests that the ATP synthase dimers organize into rows spontaneously, driven by a long-ranged attractive force that results from relief in the overall elastic strain of the membrane. This strain is caused by the V-like shape of the dimers, unique among membrane-protein complexes, which induces a strong deformation in the surrounding membrane. The process of row formation is therefore not a result of protein-protein interactions, or of a specific lipid composition of the membrane. We further hypothesize that once assembled, the ATP synthase dimer rows prime the inner mitochondrial membrane to develop folds and invaginations, by causing macroscopic membrane ridges that ultimately become the cristae edges. In this view, mitochondrial ATP synthases would contribute to the generation of a morphology that maximizes the surface area of the inner membrane, and thus ATP production. Finally, we outline the key experiments that would be required to verify or refute this hypothesis.

biophysics↗

bioRxiv2018

How well do force fields capture the strength of salt bridges in proteins?

Salt bridges form between pairs of ionisable residues in close proximity and are important interactions in proteins. While salt bridges are known to be important both for protein stability, recognition and regulation, we still do not have fully accurate predictive models to assess the energetic contributions of salt bridges. Molecular dynamics simulations is one technique that may be used study the complex relationship between structure, solvation and energetics of salt bridges, but the accuracy of such simulations depend on the force field used. We have used NMR data on the B1 domain of protein G (GB1) to benchmark molecular dynamics simulations. Using enhanced sampling simulations, we calculated the free energy of forming a salt bridge for three possible ionic interactions in GB1. The NMR experiments showed that these interactions are either not formed, or only very weakly formed, in solution. In contrast, we show that the stability of the salt bridges is slightly overestimated in simulations of GB1 using six commonly used combinations of force fields and water models. We therefore conclude that further work is needed to refine our ability to model quantitatively the stability of salt bridges through simulations, and that comparisons between experiments and simulations will play a crucial role in furthering our understanding of this important interaction.

biophysics↗

bioRxiv2018

Label-free high-speed wide-field imaging of single microtubules using interference reflection microscopy

When studying microtubules in vitro, label free imaging of single microtubules is necessary when the quantity of purified tubulin is too low for efficient fluorescent labeling or there is concern that labelling will disrupt its function. Commonly used techniques for observing unlabeled microtubules, such as video enhanced differential interference contrast, dark-field and more recently laser-based interferometric scattering microscopy, suffer from a number of drawbacks. The contrast of differential interference contrast images depends on the orientation of the microtubules, dark-field is highly sensitive to impurities and optical misalignments, and interferometric scattering has a limited field of view. In addition, all of these techniques require costly optical components such as Nomarski prisms, dark-field condensers, lasers and laser scanners. Here we show that single microtubules can be imaged at high speed and with high contrast using interference reflection microscopy without the aforementioned drawbacks. Interference reflection microscopy is simple to implement, requiring only the incorporation of a 50/50 mirror instead of a dichroic in a fluorescence microscope, and with appropriate microscope settings has similar signal-to-noise ratio to differential interference contrast and fluorescence. We demonstrated the utility of interference reflection microscopy by high speed imaging and tracking of dynamic microtubules at 100 frames per second. In conclusion, the image quality of interference reflection microscopy is similar to or exceeds that of all other techniques and, with minimal microscope modification, can be used to study the dynamics of unlabeled microtubules.

biophysics↗

bioRxiv2018

Compartmentalized RNA catalysis in membrane - free coacervate protocells

Phase separation of mixtures of oppositely charged polymers provides a simple and direct route to compartmentalization via coacervation, which may have been important for driving primitive reactions as part of the RNA world hypothesis. However, to date, RNA catalysis has not been reconciled with coacervation. Here we demonstrate that RNA catalysis is viable within coacervate microdroplets and further show that these membrane-free droplets can selectively retain longer length RNAs while permitting transfer of lower molecular weight oligonucleotides.

biophysics↗

bioRxiv2018

NMR Protein Structure Determination via Local Conformational Mapping

The ability of proteins to adopt multiple conformational states is essential to their function and elucidating the details of such diversity under physiological conditions has been a major challenge. Here we present a generalized method for mapping protein population landscapes by NMR spectroscopy. Experimental NOESY spectra are directly compared to a set of expectation spectra back-calculated across an arbitrary conformational space. Signal decomposition of the experimental spectrum then directly yields the relative populations of local conformational microstates. In this way, averaged descriptions of conformation can be eliminated. As the method quantitatively compares experimental and expectation spectra, it inherently delivers an R-factor expressing how well structural models explain the input data. We demonstrate that our method extracts sufficient information from a single 3D NOESY experiment to perform initial model building, refinement and validation, thus offering a complete de novo structure determination protocol.

biophysics↗

bioRxiv2018

Molecular dynamics ensemble refinement of the heterogeneous native state of NCBD using chemical shifts and NOEs

Many proteins display complex dynamical properties that are often intimately linked to their biological functions. As the native state of a protein is best described as an ensemble of confor-mations, it is important to be able to generate models of native state ensembles with high accuracy. Due to limitations in sampling efficiency and force field accuracy it is, however, challenging to obtain accurate ensembles of protein conformations by the use of molecular simulations alone. Here we show that dynamic ensemble refinement, which combines an accurate atomistic force field with commonly available nuclear magnetic resonance (NMR) chemical shifts and NOEs, can provide a detailed and accurate description of the conformational ensemble of the native state of a highly dynamic protein. As both NOEs and chemical shifts are averaged on timescales up to milliseconds, the resulting ensembles reflect the structural heterogeneity that goes beyond that probed e.g. by NMR relaxation order parameters. We selected the small protein domain NCBD as object of our study since this protein, which has been characterized experimentally in substantial detail, displays a rich and complex dynamical behaviour. In particular, the protein has been described as having a molten-globule like structure, but with a relatively rigid core. Our approach allowed us to describe the conformational dynamics of NCBD in solution, and to probe the structural heterogeneity resulting from both short- and long-time-scale dynamics by the calculation of order parameters on different time scales. These results illustrate the usefulness of our approach since they show that NCBD is rather rigid on the nanosecond timescale, but interconverts within a broader ensemble on longer timescales, thus enabling the derivation of a coherent set of conclusions from various NMR experiments on this protein, which could otherwise appear in contradiction with each other.

biophysics↗

bioRxiv2018

Recruitment of Two Dyneins to an mRNA-Dependent Bicaudal D Transport Complex

We investigated the role of binding partners of full-length Drosophila Bicaudal D (BicD) in the activation of dynein-dynactin motility for mRNA transport on microtubules. In single-molecule assays, full-length BicD robustly activated dynein-dynactin only when both the mRNA binding protein Egalitarian (Egl), and K10 mRNA cargo were present. Electron microscopy showed that both Egl and mRNA were needed to disrupt an auto-inhibited, looped BicD conformation that sterically prevents dynein-dynactin binding. In vitro reconstituted messenger ribonucleoprotein (mRNP) complexes with two Egl molecules showed faster speeds and longer run lengths than mRNPs with one Egl, suggesting that cargo binding enhances dynein recruitment. Labeled dynein showed that BicD can recruit two dimeric dyneins to the mRNP, resulting in faster speeds and longer run lengths than with one dynein. The fully reconstituted mRNP provides a model for understanding how adaptor proteins and cargo cooperate to confer optimal transport properties to a dynein-driven transport complex.

biophysics↗

bioRxiv2018

Stochastic models of cell invasion with fluorescent cell cycle indicators

Fluorescent cell cycle labelling in cell biology experiments provides real time information about the location of individual cells, as well as the phase of the cell cycle of individual cells. We develop a stochastic, lattice-based random walk model of a two-dimensional scratch assay where the total population is composed of three distinct subpopulations which we visualise as red, yellow and green subpopulations. Our model mimics FUCCI technology in which cells in the G1 phase of the cell cycle fluoresce red, cells in the early S phase fluoresce yellow, and cells in the S/G2/M phase fluoresce green. The model is an exclusion process so that any potential motility or proliferation event that would place an agent on an occupied lattice site is aborted. Using experimental images and previous experimental measurements, we explain how to apply the stochastic model to simulate a scratch assay initialised with a low to moderate density monolayer of human melanoma cell line. We obtain additional mathematical insight by deriving an approximate partial differential equation (PDE) description of the stochastic model, leading to a novel system of three coupled nonlinear reaction diffusion equations. Comparing averaged simulation data with the solution of the continuum limit model confirms that the PDE description is accurate for biologically-relevant parameter combinations.

biophysics↗

bioRxiv2018

Stimulus-responsive self-assembly of enzymatic fractal structures by computational design

Fractal topologies, which are statistically self-similar over multiple length scales, are pervasive in nature. The recurrence of patterns at increasing length scales in fractal-shaped branched objects, e.g., trees, lungs, and sponges, results in high effective surface areas, and provides key functional advantages, e.g., for molecular trapping and exchange. Mimicking these topologies in designed protein-based assemblies will provide access to novel classes of functional biomaterials for wide ranging applications. Here, we describe a modular, multi-scale computational design method for the reversible self-assembly of proteins into tunable supramolecular fractal-like topologies in response to phosphorylation. Computationally-guided atomic-resolution modeling of fusions of symmetric, oligomeric proteins with Src homology 2 (SH2) binding domain and its phosphorylatable ligand peptide was used to design iterative branching leading to fractal-like assembly formation by enzymes of the atrazine degradation pathway. Structural characterization using various microscopy techniques and Cryo-electron tomography revealed a variety of dendritic, hyperbranched, and sponge-like topologies which are self-similar over three decades ([~]10nm-10m) of length scale, in agreement with models from multi-scale computational simulations. We demonstrate control over mesoscale topology (by linker design), formation dynamics, and functional enhancements due to dynamic multi-component assemblies constructed with three atrazine degradation pathway enzymes. The described design method should enable the construction of a variety of novel, spatiotemporally responsive catalytic biomaterials featuring fractal topologies.

biophysics↗

bioRxiv2018

Cryo-EM visualization of an active high open probability CFTR ion channel

The Cystic fibrosis transmembrane conductance regulator (CFTR) anion channel, crucial to epithelial salt and water homeostasis, and defective due to mutations in its gene in patients with cystic fibrosis is a unique member of the large family of ATP-binding cassette transport proteins. Regulation of CFTR channel activity is stringently controlled by phosphorylation and nucleotide binding. Structural changes that underlie transitions between active and inactive functional states are not yet fully understood. Indeed the first 3D structures of dephosphorylated, ATP-free and phosphorylated ATP-bound states were only recently reported. Here we have determined the structure of inactive and active states of a thermally stabilized CFTR with very high channel open probability, confirmed after reconstitution into proteoliposomes. The unique repositioning of the TMHs and R domain density that we observe provide insights into the structural transition between active and inactive functional states of CFTR.\n\nHighlightsO_LIStructures of thermostabilized avian CFTR in dephosphorylated or phosphorylated forms at 4.3 [A] and 6.6 [A] resolution, respectively.\nC_LIO_LIConformational differences of transmembrane helices 7 & 8 compared to zebra fish and human CFTR structures reveal an extracellular vestibule that may provide anion access to the pore.\nC_LIO_LIR-domain density appears to \"plug\" the intercellular vestibule in the dephosphorylated avian CFTR cryo-EM map.\nC_LI

biophysics↗

bioRxiv2018

Direct Measurement of Dissipation in a Single Protein using Small Amplitude Atomic Force Microscopy

In Krammers theory, stiffness and dissipation coefficient of a protein determine the rate of their conformational change. Using atomic force microscope, it is possible to measure viscoelasticity of a single protein, wherein its dissipative and elastic nature is directly and independently measured. Such measurements are performed, either by measuring the thermal fluctuations of the protein held under a constant force, or by providing small modulations to the protein by dithering the cantilever and measuring its response. In small amplitude approximation, where dither amplitude is comparable to persistence length of polymers, it is possible to measure the proteins viscoelastic response accurately. We measured dissipation in I27 at extremely low pulling speeds ([~] 50 nm/s) and low dither frequencies ([~]100 Hz). At these experimental parameters the dissipation is found to be [~]10-5 kg/s, well above the detection limit of conventional AFM and upper limit predicted by Benedetti et al. Our stiffness data clearly reveals unfolding intermediate of titins individual immunoglobulin units. The intermediate is elongation of folded domains by [~]8 [A], wherein two hydrogen bonds are broken between beta sheets. It was possible to measure this elongation in our experiments. The directly measured internal friction of unfolded polymer chain shows a scaling with tension on the chain. The measurements show that it is possible to measure internal friction in single molecules unambiguously using small amplitude AFM. It suggests that systematic experiments to unravel the relation between directly measured internal friction and folding rates of proteins are possible.

biophysics↗

bioRxiv2018

Comparison between O and OH intermediates of cytochrome c oxidase studied by FTIR spectroscopy.

Cytochrome c oxidase is terminal enzyme in the respiratory chain of mitochondria and many aerobic bacteria. It catalyzes reduction of oxygen to water. During its catalysis, CcO proceeds through several quite stable intermediates (R, A, PR/M, O/OH, E/EH). This work is concentrated on the elucidation of the differences between structures of oxidized intermediates O and OH in different CcO variants and at different pH values. Oxidized intermediates of wild type and mutated CcO from Paracoccus denitrificans were studied by means of static and time-resolved Fourier-transform infrared spectroscopy in acidic and alkaline conditions in the infrared region 1800-1000 cm-1. No reasonable differences were found between all variants in these conditions, and in this spectral region. This finding means that the binuclear center of oxygen reduction keeps a very similar structure and holds the same ligands in the studied conditions. The further investigation in search of differences should be performed in the 4000-2000 cm-1 IR region where water ligands absorb.\n\nAbbreviations

biophysics↗

bioRxiv2018

A Hidden Markov Model for Detecting Confinement in Single Particle Tracking Trajectories

State-of-the-art single particle tracking (SPT) techniques can generate long trajectories with high temporal and spatial resolution. This offers the possibility of mechanistically interpreting particle movements and behaviour in membranes. To this end, a number of statistical techniques have been developed that partition SPT trajectories into states with distinct diffusion signatures, allowing a statistical analysis of diffusion state dynamics and switching behaviour. Here we develop a confinement model, within a hidden Markov framework, that switches between phases of free diffusion, and confinement in a harmonic potential well. By using a Markov chain Monte Carlo (MCMC) algorithm to fit this model, automated partitioning of individual SPT trajectories into these two phases is achieved, which allows us to analyse confinement events. We demonstrate the utility of this algorithm on a previously published dataset, where gold nanoparticle (AuNP) tagged GM1 lipids were tracked in model membranes. We performed a comprehensive analysis of confinement events, demonstrating that there is heterogeneity in the lifetime, shape, and size of events, with confinement size and shape being highly conserved within trajectories. Our observations suggest that heterogeneity in confinement events is caused by both individual nanoparticle characteristics and the binding site environment. The individual nanoparticle heterogeneity ultimately limits the ability of iSCAT to resolve molecular dynamics to the order of the tag size; homogeneous tags could potentially allow the resolution to be taken below this limit by deconvolution methods. In a wider context, the presented harmonic potential well confinement model has the potential to detect and characterise a wide variety of biological phenomena, such as hop diffusion, receptor clustering, and lipid rafts.

biophysics↗

bioRxiv2018

Adhesion of active cytoskeletal vesicles

Regulation of adhesion is a ubiquitous feature of living cells, observed during processes such as motility, antigen recognition or rigidity sensing. At the molecular scale, a myriad of mechanisms are necessary to recruit and activate the essential proteins, while at the cellular scale efficient regulation of adhesion relies on the cells ability to adapt its global shape. To understand the role of shape remodeling during adhesion, we use a synthetic biology approach to design a minimal model, starting with a limited number of building blocks. We assemble cytoskeletal vesicles whose size, reduced volume, and cytoskeleton contractility can be independently tuned. We are able to show that these cytoskeletal vesicles can sustain strong adhesion to solid substrates only if molecular motors are able to actively remodel the actin cortex. When the cytoskeletal vesicles are deformed under hypertonic osmotic pressure, they develop a crumpled geometry with huge deformations. In the presence of molecular motors, these deformations are dynamic in nature and can compensate for an absence of excess membrane area needed for adhesion to take place. When the cytoskeletal deformations are able to compensate for lack of excess membrane area, the cytoskeletal vesicles are able to attach to the rigid glass surfaces even under strong adhesive forces. The balance of deformability and adhesion strength is identified to be key to enable cytoskeletal vesicles to adhere to solid substrates.

biophysics↗

bioRxiv2018

A strategy to study intrinsically mixed folded proteins: The structure in solution of ataxin-3

It has increasingly become clear over the last two decades that proteins can contain both globular domains and intrinsically unfolded regions which both can contribute to function. While equally interesting, the disordered regions are difficult to study because they usually do not crystallize unless bound to partners and are not easily amenable to cryo-electron microscopy studies. Nuclear magnetic resonance spectroscopy remains the best technique to capture the structural features of intrinsically mixed folded proteins and describe their dynamics. These studies rely on the successful assignment of the spectrum, task not easy per se given the limited spread of the resonances of the disordered residues. Here, we describe assignment of the spectrum of ataxin-3, the protein responsible for the neurodegenerative Machado-Joseph disease. We used a 42 kDa construct containing a globular N-terminal josephin domain and a C-terminal tail which comprises thirteen polyglutamine repeats within a low-complexity region. We developed a strategy which allowed us to achieve 87% assignment of the spectrum. We show that the C-terminal tail is flexible with extended helical regions and interacts only marginally with the rest of the protein. We could also, for the first time, deduce the structure of the polyglutamine repeats within the context of the full-length protein and show that it has a strong helical propensity stabilized by the preceding region.

biophysics↗