Cellular traction force recovery: An optimal filtering approach in two-dimensional Fourier space

Quantitative estimation of cellular traction has significant physiological and clinical implications. As an inverse problem, traction force recovery is essentially susceptible to noise in the measured displacement data. For traditional procedure of Fourier transform traction cytometry (FTTC), noise amplification is accompanied in the force reconstruction and small tractions cannot be recovered from the displacement field with low signal-noise ratio (SNR). To improve the FTTC process, we develop an optimal filtering scheme to suppress the noise in the force reconstruction procedure. In the framework of the Wiener filtering theory, four filtering parameters are introduced in two-dimensional Fourier space and their analytical expressions are derived in terms of the minimum-mean-squared-error (MMSE) optimization criterion. The optimal filtering approach is validated with simulations and experimental data associated with the adhesion of single cardiac myocyte to elastic substrate. The results indicate that the proposed method can highly enhance SNR of the recovered forces to reveal tiny tractions in cell-substrate interaction.     

A primer to traction force microscopy

Traction force microscopy (TFM) has emerged as a versatile technique for the measurement of single-cell-generated forces. TFM has gained wide use among mechanobiology laboratories, and several variants of the original methodology have been proposed. However, issues related to the experimental setup and, most importantly, data analysis of cell traction datasets may restrain the adoption of TFM by a wider community. In this review, we summarize the state of the art in TFM-related research, with a focus on the analytical methods underlying data analysis. We aim to provide the reader with a friendly compendium underlying the potential of TFM and emphasizing the methodological framework required for a thorough understanding of experimental data. We also compile a list of data analytics tools freely available to the scientific community for the furtherance of knowledge on this powerful technique.     

Toward single cell traction microscopy within 3D collagen matrices

Mechanical interaction between the cell and its extracellular matrix (ECM) regulates cellular behaviors, including proliferation, differentiation, adhesion, and migration. Cells require the three-dimensional (3D) architectural support of the ECM to perform physiologically realistic functions. However, current understanding of cell–ECM and cell–cell mechanical interactions is largely derived from 2D cell traction force microscopy, in which cells are cultured on a flat substrate. 3D cell traction microscopy is emerging for mapping traction fields of single animal cells embedded in either synthetic or natively derived fibrous gels. We discuss here the development of 3D cell traction microscopy, its current limitations, and perspectives on the future of this technology. Emphasis is placed on strategies for applying 3D cell traction microscopy to individual tumor cell migration within collagen gels.     

High-speed atomic force microscopy: Imaging and force spectroscopy

Atomic force microscopy (AFM) is the type of scanning probe microscopy that is probably best adapted for imaging biological samples in physiological conditions with submolecular lateral and vertical resolution. In addition, AFM is a method of choice to study the mechanical unfolding of proteins or for cellular force spectroscopy. In spite of 28 years of successful use in biological sciences, AFM is far from enjoying the same popularity as electron and fluorescence microscopy. The advent of high-speed atomic force microscopy (HS-AFM), about 10 years ago, has provided unprecedented insights into the dynamics of membrane proteins and molecular machines from the single-molecule to the cellular level. HS-AFM imaging at nanometer-resolution and sub-second frame rate may open novel research fields depicting dynamic events at the single bio-molecule level. As such, HS-AFM is complementary to other structural and cellular biology techniques, and hopefully will gain acceptance from researchers from various fields. In this review we describe some of the most recent reports of dynamic bio-molecular imaging by HS-AFM, as well as the advent of high-speed force spectroscopy (HS-FS) for single protein unfolding.     

Cell traction force and measurement methods

Cell traction forces (CTFs) are crucial to many biological processes such as inflammation, wound healing, angiogenesis, and metastasis. CTFs are generated by actomyosin interactions and actin polymerization and regulated by intracellular proteins such as alpha-smooth muscle actin (α-SMA) and soluble factors such as transforming growth factor-β (TGF-β). Once transmitted to the extracellular matrix (ECM) through stress fibers via focal adhesions, which are assemblies of ECM proteins, transmembrane receptors, and cytoplasmic structural and signaling proteins (e.g., integrins), CTFs direct many cellular functions, including cell migration, ECM organization, and mechanical signal generation. Various methods have been developed over the years to measure CTFs of both populations of cells and of single cells. At present, cell traction force microscopy (CTFM) is among the most efficient and reliable method for determining CTF field of an entire cell spreading on a two-dimensional (2D) substrate surface. There are currently three CTFM methods, each of which is unique in both how displacement field is extracted from images and how CTFs are subsequently estimated. A detailed review and comparison of these methods are presented. Future research should improve CTFM methods such that they can automatically track dynamic CTFs, thereby providing new insights into cell motility in response to altered biological conditions. In addition, research effort should be devoted to developing novel experimental and theoretical methods for determining CTFs in three-dimensional (3D) matrix, which better reflects physiological conditions than 2D substrate used in current CTFM methods.     

原子力显微技术在酶学研究中的应用

酶在生物体的生命活动中占有及其重要的地位,机体功能的和谐统一有赖于酶的作用。原子力显微技术(AFM)作为一门新发展起来的技术,为人们认识酶的结构与功能提供了又一新的窗口。AFM能够在生理条件下对生物样品进行三维成像,在分子水平上实时监测生理生化反应。AFM还能够在皮牛顿精度上测定分子间作用力。目前,AFM已用于单分子酶的化学性质及其作用原理的研究。本简述AFM在酶学中的应用情况。     

Ultrastable atomic force microscopy: Improved force and positional stability

Atomic force microscopy (AFM) is an exciting technique for biophysical studies of single molecules, but its usefulness is limited by instrumental drift. We dramatically reduced positional drift by adding two lasers to track and thereby actively stabilize the tip and the surface. These lasers also enabled label-free optical images that were spatially aligned to the tip position. Finally, sub-pN force stability over 100 s was achieved by removing the gold coating from soft cantilevers. These enhancements to AFM instrumentation can immediately benefit research in biophysics and nanoscience.     

Cellular secretion studied by force microscopy

Using the optical microscope, real adventures in cellular research began in earnest in the latter half of the nineteenth century. With the development of the electron microscope, ultramicroscopy, and improved cell staining techniques, significant advances were made in defining intracellular structures at the nanometer level. The invention of force microscopy, the atomic force microscope (AFM) in the mid 1980s, and the photonic force microscope (PFM) in the mid 1990s, finally provided the opportunity to study live cellular structure-function at the nanometer level. Working with the AFM, dynamic cellular and subcellular events at the molecular level were captured in the mid 1990s, and a new cellular structure 'the porosome' in the plasma membrane of all secretory cells has been defined, where specific docking and fusion of secretory vesicles occur. The molecular mechanism of fusion of the secretory vesicle membrane at the base of the porosome membrane in cells, and the regulated release of intravesicular contents through the porosome opening to the extracellular space, has been determined. These seminal discoveries provide for the first time a molecular mechanism of cell secretion, and the possibility to ameliorate secretory defects in disease states.     

Resolving the molecular structure of microtubules under physiological conditions with scanning force microscopy

We have imaged microtubules, essential structural elements of the cytoskeleton in eukaryotic cells, in physiological conditions by scanning force microscopy. We have achieved molecular resolution without the use of cross-linking and chemical fixation methods. With tip forces below 0.3 nN, protofilaments with ~6 nm separation could be clearly distinguished. Lattice defects in the microtubule wall were directly visible, including point defects and protofilament separations. Higher tip forces destroyed the top half of the microtubules, revealing the inner surface of the substrate-attached protofilaments. Monomers could be resolved on these inner surfaces.Abbreviations APTS (3-aminopropyl)triethoxysilane - DETA N¹-[3-(trimethoxysilyl)propyl]diethylenetriamine - EM electron microscopy - MT microtubule - SFM scanning force microscopy     

High‐resolution analysis of neuronal growth cone morphology by comparative atomic force and optical microscopy

Neuronal growth cones are motile sensory structures at the tip of axons, transducing guidance information into directional movements towards target cells. The morphology and dynamics of neuronal growth cones have been well characterized with optical techniques; however, very little quantitative information is available on the three‐dimensional structure and mechanical properties of distinct subregions. In the present study, we imaged the large Aplysia growth cones after chemical fixation with the atomic force microscope (AFM) and directly compared our data with images acquired by light microscopy methods. Constant force imaging in contact mode in combination with force‐distant measurements revealed an average height of 200 nm for the peripheral (P) domain, 800 nm for the transition (T) zone, and 1200 nm for the central (C) domain, respectively. The AFM images show that the filopodial F‐actin bundles are stiffer than surrounding F‐actin networks. Enlarged filopodia tips are 60 nm higher than the corresponding shafts. Measurements of the mechanical properties of the specific growth cone regions with the AFM revealed that the T zone is stiffer than the P and the C domain. Direct comparison of AFM and optical data acquired by differential interference contrast and fluorescence microscopy revealed a good correlation between these imaging methods. However, the AFM provides height and volume information at higher resolution than fluorescence methods frequently used to estimate the volume of cellular compartments. These findings suggest that AFM measurements on live growth cones will provide a quantitative understanding of how proteins can move between different growth cone regions. © 2006 Wiley Periodicals, Inc. J Neurobiol, 2006     

Structure of adsorbed fibrinogen obtained by scanning force microscopy

It is shown that scanning force microscopy (SFM), operated in the attractive mode, can be used to obtain high resolution pictures of adsorbed fibrinogen molecules on solid surfaces, without the need for staining or special microscope grids. SFM also reveals the three-dimensional structure of the adsorbed molecules. Two forms of adsorbed fibrinogen are demonstrated on hydrophobic silicone dioxide surfaces; a trinodular about 60 nm long and a globular with about a 40 nm diameter. Polymeric networks formed after storage of the surface with adsorbed fibrinogen in PBS for 11 days are also shown. The SFM-results for the trinodular structure suggest the existence of loops or peptide chains extending outside the basic structure of the fibrinogen molecule.     

Atomic force microscopy comes of age

AFM (atomic force microscopy) analysis, both of fixed cells, and live cells in physiological environments, is set to offer a step change in the research of cellular function. With the ability to map cell topography and morphology, provide structural details of surface proteins and their expression patterns and to detect pico‐Newton force interactions, AFM represents an exciting addition to the arsenal of the cell biologist. With the explosion of new applications, and the advent of combined instrumentation such as AFM—confocal systems, the biological application of AFM has come of age. The use of AFM in the area of biomedical research has been proposed for some time, and is one where a significant impact could be made. Fixed cell analysis provides qualitative and quantitative subcellular and surface data capable of revealing new biomarkers in medical pathologies. Image height and contrast, surface roughness, fractal, volume and force analysis provide a platform for the multiparameter analysis of cell and protein functions. Here, we review the current status of AFM in the field and discuss the important contribution AFM is poised to make in the understanding of biological systems.     

原子力显微镜单分子力谱研究生物分子间相互作用

原子力显微镜单分子力谱是近年来发展起来的能在单分子水平研究生物分子相互作用的新工具。本文综述了单分子力谱的测定原理、方法及其在研究蛋白．蛋白、蛋白-DNA相互作用,蛋白质去折叠和活细胞上配体／受体结合中的应用进展。     

Functionalization of amino-modified probes for atomic force microscopy

The probes for atomic force microscopy (AFM) functionalized with bovine serum albumin (BSA) were obtained; they can be used for molecular recognition studies. The procedure of modification and functionalization of the AFM probe included three stages. First, amino probes were obtained by modification in vapors of an amino silane derivative. Then, a covalent bond was formed between the surface amino groups of the probe and a homobifunctional aminoreactive crosslinker. Finally, the probe with a covalently attached crosslinker was functionalized with BSA molecules. The AFM probes were characterized by force measurements at different stages of the modification; the adhesion force and the work of adhesion force were determined. The modification process was confirmed by visualization of BSA and supercoiled pGEMEX DNA molecules immobilized on the standard amino mica and on amino mica modified with a crosslinker.     

Chemical force microscopy of cellulosic fibers

Atomic force microscopy with chemically modified cantilever tips (chemical force microscopy) was used to study the pull-off forces (adhesion forces) on cellulose model surfaces and bleached softwood kraft pulp fibers in aqueous media. It was found that for the –COOH terminated tips, the adhesion forces are dependent on pH, whereas for the –CH₃ and –OH terminated tips adhesion is not strongly affected by pH. Comparison between the cellulose model surfaces and cellulosic fibers under our experimental conditions reveal that surface roughness does not affect adhesion strongly. X-ray photoelectron spectroscopy (XPS) and Fourier Transformed Infrared (FTIR) spectroscopy reveal that both substrate surfaces have homogeneous chemical composition. The results show that chemical force microscopy can be used for the chemical characterization of cellulose surfaces at a nano-level.     

Single organelle dynamics linked to 3D structure by correlative live‐cell imaging and 3D electron microscopy

Live‐cell correlative light‐electron microscopy (live‐cell‐CLEM) integrates live movies with the corresponding electron microscopy (EM) image, but a major challenge is to relate the dynamic characteristics of single organelles to their 3‐dimensional (3D) ultrastructure. Here, we introduce focused ion beam scanning electron microscopy (FIB‐SEM) in a modular live‐cell‐CLEM pipeline for a single organelle CLEM. We transfected cells with lysosomal‐associated membrane protein 1‐green fluorescent protein (LAMP‐1‐GFP), analyzed the dynamics of individual GFP‐positive spots, and correlated these to their corresponding fine‐architecture and immediate cellular environment. By FIB‐SEM we quantitatively assessed morphological characteristics, like number of intraluminal vesicles and contact sites with endoplasmic reticulum and mitochondria. Hence, we present a novel way to integrate multiple parameters of subcellular dynamics and architecture onto a single organelle, which is relevant to address biological questions related to membrane trafficking, organelle biogenesis and positioning. Furthermore, by using CLEM to select regions of interest, our method allows for targeted FIB‐SEM, which significantly reduces time required for image acquisition and data processing.      

Atomic force microscopy and modeling of natural elastic fibrillin polymers

A central issue in the understanding of Marfan syndrome deals with the functional architecture of fibrillin-containing microfibrils. Fibrillin-rich microfibrils are long extracellular matrix fibrillar components exhibiting a 50 nm periodic beaded-structure with a width of around 20–25 nm after rotary shadowing and a 10–12 nm diameter when observed in ultra-thin sections. They are composed of fibrillin monomers more or less associated with many other components which are, for the most part, poorly characterized up to date. They are known to be elastic but few data have been accumulated to understand their properties. Atomic force microscopy (AFM) allowed us to morphologically differentiate fibrillin-rich microfibrils from other fibrillar components and to investigate the thin structure of these beaded filaments in their native state. They showed, in AFM, a periodic beaded structure ranging from 50 to 60 nm and a width of about 40 nm. The different sizes of fibrillin-containing microfibrils previously observed after rotary shadowing and in ultra-thin sections was resolved with our technique and is revealed to be 10 nm in diameter. Each beaded microfibril appears to be composed of heterogeneous beads connected by 2–3 arms. An orientation of the microfibrils has been shown, and allows us to propose a complementary model of microfibrillar monomer association.     

Structure of human chromosomes studied by atomic force microscopy

In this work human chromosomes have been treated with RNase and pepsin to remove the layer of cellular material that covers the standard preparations on glass slides. This allows characterization of the topography of chromosomes at nanometer scale in air and in physiological solution by atomic force microscopy. Imaging of the dehydrated structure in air indicates radial arrangement of chromatin loops as the last level of DNA packing. However, imaging in liquid reveals a last level of organization consisting of a hierarchy of bands and coils. Additionally force curves between the tip and the chromosome in liquid are consistent with radial chromatin loops. These results and previous electron microscopy studies are analyzed, and a model is proposed for the chromosome structure in which radial loops and helical coils coexist.