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1.
Nanoscale ; 6(18): 10798-805, 2014 Sep 21.
Article in English | MEDLINE | ID: mdl-25105590

ABSTRACT

The extraordinary permeability and manufacturability of ultrathin silicon-based membranes are enabling devices with improved performance and smaller sizes in such important areas as molecular filtration and sensing, cell culture, electroosmotic pumping, and hemodialysis. Because of the robust chemical and mechanical properties of silicon nitride (SiN), several laboratories have developed techniques for patterning nanopores in SiN using reactive ion etching (RIE) through a template structure. These methods however, have failed to produce pores small enough for ultrafiltration (<100 nm) in SiN and involve templates that are prone to microporous defects. Here we present a facile, wafer-scale method to produce nanoporous silicon nitride (NPN) membranes using porous nanocrystalline silicon (pnc-Si) as a self-assembling, defect free, RIE masking layer. By modifying the mask layer morphology and the RIE etch conditions, the pore sizes of NPN can be adjusted between 40 nm and 80 nm with porosities reaching 40%. The resulting NPN membranes exhibit higher burst pressures than pnc-Si membranes while having 5× greater permeability. NPN membranes also demonstrate the capacity for high resolution separations (<10 nm) seen previously with pnc-Si membranes. We further demonstrate that human endothelial cells can be grown on NPN membranes, verifying the biocompatibility of NPN and demonstrating the potential of this material for cell culture applications.

2.
Nanotechnology ; 23(14): 145706, 2012 Apr 13.
Article in English | MEDLINE | ID: mdl-22433182

ABSTRACT

We show that ultrathin porous nanocrystalline silicon membranes exhibit gas permeance that is several orders of magnitude higher than other membranes. Using these membranes, gas flow obeying Knudsen diffusion has been studied in pores with lengths and diameters in the tens of nanometers regime. The components of the flow due to ballistic transport and transport after reflection from the pore walls were separated and quantified as a function of pore diameter. These results were obtained in pores made in silicon. We demonstrate that changing the pore interior to carbon leads to flow enhancement resulting from a change in the nature of molecule-pore wall interactions. This result confirms previously published flow enhancement results obtained in carbon nanotubes.


Subject(s)
Carbon/chemistry , Gases/chemistry , Nanopores/ultrastructure , Nanotechnology/methods , Silicon/chemistry , Diffusion , Membranes, Artificial , Microscopy, Electron, Transmission , Porosity
3.
J Memb Sci ; 369(1-2): 119-129, 2011 Mar 01.
Article in English | MEDLINE | ID: mdl-21297879

ABSTRACT

Diffusion based separations are essential for laboratory and clinical dialysis processes. New molecularly thin nanoporous membranes may improve the rate and quality of separations achievable by these processes. In this work we have performed protein and small molecule separations with 15 nm thick porous nanocrystalline silicon (pnc-Si) membranes and compared the results to 1- and 3- dimensional models of diffusion through ultrathin membranes. The models predict the amount of resistance contributed by the membrane by using pore characteristics obtained by direct inspection of pnc-Si membranes in transmission electron micrographs. The theoretical results indicate that molecularly thin membranes are expected to enable higher resolution separations at times before equilibrium compared to thicker membranes with the same pore diameters and porosities. We also explored the impact of experimental parameters such as porosity, pore distribution, diffusion time, and chamber size on the sieving characteristics. Experimental results are found to be in good agreement with the theory, and ultrathin membranes are shown to impart little overall resistance to the diffusion of molecules smaller than the physical pore size cutoff. The largest molecules tested experience more hindrance than expected from simulations indicating that factors not incorporated in the models, such as molecule shape, electrostatic repulsion, and adsorption to pore walls, are likely important.

4.
Biomaterials ; 31(20): 5408-17, 2010 Jul.
Article in English | MEDLINE | ID: mdl-20398927

ABSTRACT

Porous nanocrystalline silicon (pnc-Si) is new type of silicon nanomaterial with potential uses in lab-on-a-chip devices, cell culture, and tissue engineering. The pnc-Si material is a 15 nm thick, freestanding, nanoporous membrane made with scalable silicon manufacturing. Because pnc-Si membranes are approximately 1000 times thinner than any polymeric membrane, their permeability to small solutes is orders-of-magnitude greater than conventional membranes. As cell culture substrates, pnc-Si membranes can overcome the shortcomings of membranes used in commercial transwell devices and enable new devices for the control of cellular microenvironments. The current study investigates the feasibility of pnc-Si as a cell culture substrate by measuring cell adhesion, morphology, growth and viability on pnc-Si compared to conventional culture substrates. Results for immortalized fibroblasts and primary vascular endothelial cells are highly similar on pnc-Si, polystyrene and glass. Significantly, pnc-Si dissolves in cell culture media over several days without cytotoxic effects and stability is tunable by modifying the density of a superficial oxide. The results establish pnc-Si as a viable substrate for cell culture and a degradable biomaterial. Pnc-Si membranes should find use in the study of molecular transport through cell monolayers, in studies of cell-cell communication, and as biodegradable scaffolds for three-dimensional tissue constructs.


Subject(s)
Cell Culture Techniques/methods , Membranes, Artificial , Nanoparticles/chemistry , Silicon/pharmacology , Animals , Cell Adhesion/drug effects , Cell Movement/drug effects , Cell Proliferation/drug effects , Cell Survival/drug effects , Cells, Cultured , Coculture Techniques , Culture Media , Glass , Humans , Mice , Permeability/drug effects , Porosity/drug effects , Solubility/drug effects , Temperature
5.
J Microsc ; 237(1): 39-50, 2010 Jan.
Article in English | MEDLINE | ID: mdl-20055917

ABSTRACT

Image cross-correlation microscopy is a technique that quantifies the motion of fluorescent features in an image by measuring the temporal autocorrelation function decay in a time-lapse image sequence. Image cross-correlation microscopy has traditionally employed laser-scanning microscopes because the technique emerged as an extension of laser-based fluorescence correlation spectroscopy. In this work, we show that image correlation can also be used to measure fluorescence dynamics in uniform illumination or wide-field imaging systems and we call our new approach uniform illumination image correlation microscopy. Wide-field microscopy is not only a simpler, less expensive imaging modality, but it offers the capability of greater temporal resolution over laser-scanning systems. In traditional laser-scanning image cross-correlation microscopy, lateral mobility is calculated from the temporal de-correlation of an image, where the characteristic length is the illuminating laser beam width. In wide-field microscopy, the diffusion length is defined by the feature size using the spatial autocorrelation function. Correlation function decay in time occurs as an object diffuses from its original position. We show that theoretical and simulated comparisons between Gaussian and uniform features indicate the temporal autocorrelation function depends strongly on particle size and not particle shape. In this report, we establish the relationships between the spatial autocorrelation function feature size, temporal autocorrelation function characteristic time and the diffusion coefficient for uniform illumination image correlation microscopy using analytical, Monte Carlo and experimental validation with particle tracking algorithms. Additionally, we demonstrate uniform illumination image correlation microscopy analysis of adhesion molecule domain aggregation and diffusion on the surface of human neutrophils.


Subject(s)
Lighting , Microscopy, Fluorescence/methods , Motion , Algorithms , Computer Simulation , Diffusion , Fluorescent Dyes/chemistry , Humans , Image Processing, Computer-Assisted , L-Selectin/ultrastructure , Lymphocyte Function-Associated Antigen-1/ultrastructure , Monte Carlo Method , Neutrophils/ultrastructure , Receptor Aggregation , Sensitivity and Specificity , Time Factors
6.
J Phys Condens Matter ; 22(45): 454134, 2010 Nov 17.
Article in English | MEDLINE | ID: mdl-21339620

ABSTRACT

Porous nanocrystalline silicon (pnc-Si) membranes are a new class of solid-state ultra-thin membranes with promising applications ranging from biological separations to use as a platform for electron imaging and spectroscopy. Because the thickness of the membrane is only 15-30 nm, on the order of that of the molecules to be separated, mass transport through the membrane is greatly enhanced. For applications involving molecular separations, it is crucial that the membrane is highly permeable to some species while being nearly impermeable to others. An important approach to adjusting the permeability of a membrane is by changing the size and density of the pores. With pnc-Si, a rapid thermal treatment is used to induce nanopore formation in a thin film of nanocrystalline silicon, which is then released over a silicon scaffold using an anisotropic etchant. In this study, we examine the influence of thin film deposition and thermal treatment parameters on pore size and density.


Subject(s)
Crystallization/methods , Membranes, Artificial , Nanostructures/chemistry , Nanostructures/ultrastructure , Silicon/chemistry , Materials Testing , Particle Size , Porosity
7.
Biophys J ; 86(5): 2720-39, 2004 May.
Article in English | MEDLINE | ID: mdl-15111391

ABSTRACT

We have derived a broad, deterministic model of the steady-state actin cycle that includes its major regulatory mechanisms. Ours is the first model to solve the complete nucleotide profile within filaments, a feature that determines the dynamics and geometry of actin networks at the leading edges of motile cells, and one that has challenged investigators developing models to interpret steady-state experiments. We arrived at the nucleotide profile through analytic and numerical approaches that completely agree. Our model reproduces behaviors seen in numerous experiments with purified proteins, but allows a detailed inspection of the concentrations and fluxes that might exist in these experiments. These inspections provide new insight into the mechanisms that determine the rate of actin filament treadmilling. Specifically, we find that mechanisms for enhancing Pi release from the ADP.Pi intermediate on filaments, for increasing the off rate of ADP-bound subunits at pointed ends, and the multiple, simultaneous functions of profilin, make unique and essential contributions to increased treadmilling. In combination, these mechanisms have a theoretical capacity to increase treadmilling to levels limited only by the amount of available actin. This limitation arises because as the cycle becomes more dynamic, it tends toward the unpolymerized state.


Subject(s)
Actins/physiology , Actins/chemistry , Adenosine Diphosphate/metabolism , Adenosine Triphosphate/chemistry , Adenosine Triphosphate/metabolism , Bacterial Physiological Phenomena , Biophysics/methods , Contractile Proteins/metabolism , Hydrolysis , Kinetics , Magnesium/metabolism , Microfilament Proteins/metabolism , Models, Biological , Models, Theoretical , Nucleotides/chemistry , Phosphates/metabolism , Profilins , Software , Thymosin/chemistry
8.
Biophys J ; 79(6): 3258-66, 2000 Dec.
Article in English | MEDLINE | ID: mdl-11106629

ABSTRACT

To understand the microscopic mechanical properties of actin networks, we monitor the motion of embedded particles with controlled surface properties. The highly resolved Brownian motions of these particles reveal the viscoelastic character of the microenvironments around them. In both non-cross-linked and highly cross-linked actin networks, particles that bind F-actin report viscoelastic moduli comparable to those determined by macroscopic rheology experiments. By contrast, particles modified to prevent actin binding have weak microenvironments that are surprisingly insensitive to the introduction of filament cross-links. Even when adjacent in the same cross-linked gel, actin-binding and nonbinding particles report viscoelastic moduli that differ by two orders of magnitude at low frequencies (0.5-1.5 rad/s) but converge at high frequencies (> 10(4) rad/s). For all particle chemistries, electron and light microscopies show no F-actin recruitment or depletion, so F-actin microheterogeneities cannot explain the deep penetration (approximately 100 nm) of nonbinding particles. Instead, we hypothesize that a local depletion of cross-linking around nonbinding particles explains the phenomena. With implications for organelle mobility in cells, our results show that actin binding is required for microenvironments to reflect macroscopic properties, and conversely, releasing actin enhances particle mobility beyond the effects of mere biochemical untethering.


Subject(s)
Actins/chemistry , Actins/ultrastructure , Adsorption , Animals , Biotinylation , Cross-Linking Reagents , Microscopy, Electron , Muscle, Skeletal , Polylysine , Polystyrenes , Protein Binding , Rabbits , Serum Albumin, Bovine , Surface Properties
9.
Nature ; 407(6807): 1026-9, 2000 Oct 26.
Article in English | MEDLINE | ID: mdl-11069185

ABSTRACT

The actin-based motility of the bacterium, Listeria monocytogenes, is a model system for understanding motile cell functions involving actin polymerization. Although the biochemical and genetic aspects of Listeria motility have been intensely studied, biophysical data are sparse. Here we have used high-resolution laser tracking to follow the trailing ends of Listeria moving in the lamellae of COS7 cells. We found that pauses during motility occur frequently and that episodes of step-like motion often show pauses spaced at about 5.4 nm, which corresponds to the spatial periodicity of F-actin. We occasionally observed smaller steps (<3 nm), as well as periods of motion with no obvious pauses. Clearly, bacteria do not sense cytoplasmic viscoelasticity because they fluctuate 20 times less than adjacent lipid droplets. Instead, bacteria bind their own actin 'tails, and the anchoring proteins can 'step' along growing filaments within the actin tail. Because positional fluctuations are unusually small, the forces of association and propulsion must be very strong. Our data disprove the brownian ratchet models and limit alternative models, such as the 'elastic' brownian ratchet or the 'molecular' ratchet.


Subject(s)
Actins/physiology , Listeria monocytogenes/physiology , Animals , COS Cells , Lasers , Movement
10.
Proc Natl Acad Sci U S A ; 97(12): 6532-7, 2000 Jun 06.
Article in English | MEDLINE | ID: mdl-10823888

ABSTRACT

Cycling of actin subunits between monomeric and filamentous phases is essential for cell crawling behavior. We investigated actin filament turnover rates, length, number, barbed end exposure, and binding of cofilin in bovine arterial endothelial cells moving at different speeds depending on their position in a confluent monolayer. Fast-translocating cells near the wound edge have short filament lifetimes compared with turnover values that proportionately increase in slower moving cells situated at increasing distances from the wound border. Contrasted with slow cells exhibiting slow actin filament turnover speeds, fast cells have less polymerized actin, shorter actin filaments, more free barbed ends, and less actin-associated cofilin. Cultured primary fibroblasts manifest identical relationships between speed and actin turnover as the endothelial cells, and fast fibroblasts expressing gelsolin have higher actin turnover rates than slow fibroblasts that lack this actin-severing protein. These results implicate actin filament severing as an important control mechanism for actin cycling in cells.


Subject(s)
Actins/metabolism , Actin Depolymerizing Factors , Adenosine Diphosphate/analysis , Animals , Cattle , Cells, Cultured , Fluorescence , Microfilament Proteins/analysis
11.
Microsc Res Tech ; 43(5): 385-94, 1998 Dec 01.
Article in English | MEDLINE | ID: mdl-9858336

ABSTRACT

Cytoplasmic actin distributes between monomeric and filamentous phases in cells. As cells crawl, actin polymerizes near the plasma membrane of expanding peripheral cytoplasm and depolymerizes elsewhere. Thus, the finite actin filament lifetime, the diffusivity of actin monomer, and the distribution of actin between the polymer and monomer phases are key parameters in cell motility. The dynamics of cellular actin can be determined by following the evolution of fluorescence in the techniques of photoactivated fluorescence (PAF) or fluorescence recovery after photobleaching (FRAP) of microinjected actin derivatives. A mathematical model is discussed that measures monomer diffusion coefficients, filament turnover rates, and the fraction of actin polymerized from measurements of the evolution of fluorescence from a photoactivated band [Tardy et al. (1995) Biophys. J., 69:1674-1682; McGrath et al. (1998) Biophys. J., in press]. Applying this model to subconfluent endothelial cells shows that approximately 40% of the actin is polymer and that these filaments turn over on average every 6 minutes. This report discusses how PAF and FRAP can be combined with more traditional biochemistry to probe actin cytoskeleton remodeling in endothelial cells.


Subject(s)
Actins/metabolism , Cell Movement/physiology , Endothelium, Vascular/cytology , Image Enhancement/methods , Models, Biological , Cytoskeleton/chemistry , Cytoskeleton/ultrastructure , Endothelium, Vascular/ultrastructure , Microscopy, Fluorescence/methods , Polymers/metabolism , Rheology , Time Factors
12.
Biophys J ; 75(4): 2070-8, 1998 Oct.
Article in English | MEDLINE | ID: mdl-9746549

ABSTRACT

The analogous techniques of photoactivation of fluorescence (PAF) and fluorescence recovery after photobleaching (FRAP) have been applied previously to the study of actin dynamics in living cells. Traditionally, separate experiments estimate the mobility of actin monomer or the lifetime of actin filaments. A mathematical description of the dynamics of the actin cytoskeleton, however, predicts that the evolution of fluorescence in PAF and FRAP experiments depends simultaneously on the diffusion coefficient of actin monomer, D, the fraction of actin in filaments, FF, and the lifetime of actin filaments, tau (, Biophys. J. 69:1674-1682). Here we report the application of this mathematical model to the interpretation of PAF and FRAP experiments in subconfluent bovine aortic endothelial cells (BAECs). The following parameters apply for actin in the bulk cytoskeleton of subconfluent BAECs. PAF: D = 3.1 +/- 0.4 x 10(-8) cm2/s, FF = 0.36 +/- 0.04, tau = 7.5 +/- 2.0 min. FRAP: D = 5.8 +/- 1.2 x 10(-8) cm2/s, FF = 0.5 +/- 0.04, tau = 4.8 +/- 0.97 min. Differences in the parameters are attributed to differences in the actin derivatives employed in the two studies and not to inherent differences in the PAF and FRAP techniques. Control experiments confirm the modeling assumption that the evolution of fluorescence is dominated by the diffusion of actin monomer, and the cyclic turnover of actin filaments, but not by filament diffusion. The work establishes the dynamic state of actin in subconfluent endothelial cells and provides an improved framework for future applications of PAF and FRAP.


Subject(s)
Actins/metabolism , Cytoskeleton/ultrastructure , Depsipeptides , Endothelium, Vascular/physiology , Actins/drug effects , Actins/ultrastructure , Animals , Cattle , Cells, Cultured , Cytochalasin D/pharmacology , Endothelium, Vascular/cytology , Fluorescent Dyes , Kinetics , Microscopy, Electron , Microscopy, Fluorescence/methods , Peptides, Cyclic/pharmacology , Photochemistry
13.
Thorax ; 53(6): 483-9, 1998 Jun.
Article in English | MEDLINE | ID: mdl-9713448

ABSTRACT

BACKGROUND: Nitric oxide (NO) may be bronchoprotective in asthma, possibly due to a direct action on airway smooth muscle or through mast cell stabilisation. To investigate this the effects of two doses of nebulised NG-nitro-L-arginine methyl ester (L-NAME), a non-selective NO synthase (NOS) inhibitor, on exhaled NO levels and airway responsiveness to histamine, a direct smooth muscle spasmogen, and adenosine-5'-monophosphate (AMP), an indirect spasmogen which activates mast cells, were evaluated in patients with mild asthma. METHODS: The study consisted of two phases each with a double blind, randomised, crossover design. In phase 1, 15 subjects inhaled either L-NAME 54 mg or 0.9% saline 30 minutes before histamine challenge. Nine of these subjects were studied in a similar fashion but were also challenged with AMP. In phase 2, 13 subjects (eight from phase 1) performed the same protocol but inhaled L-NAME in a dose of 170 mg or 0.9% saline before being challenged with histamine and AMP. RESULTS: The mean (95% CI) reduction in exhaled NO levels after L-NAME 54 mg was 78% (66 to 90) but this did not alter airway responsiveness; the geometric mean (SE) concentration provoking a fall of 20% or more in forced expiratory volume in one second (PC20) after L-NAME and saline was 0.59 (1.26) and 0.81 (1.26) mg/ml, respectively, for histamine and 20.2 (1.7) and 17.2 (1.6) mg/ml, respectively, for AMP. In contrast, L-NAME 170 mg reduced NO levels to a similar extent (81% (95% CI 76 to 87)) but increased airway responsiveness by approximately one doubling dose to both spasmogens; the geometric mean (SE) PC20 for histamine after L-NAME 170 mg and saline was 0.82 (1.29) and 1.78 (1.19) mg/ml, respectively (p < 0.001), and for AMP was 11.8 (1.5) and 24.3 (1.4) mg/ml, respectively (p < 0.001). CONCLUSIONS: These results suggest that L-NAME increases airway responsiveness in asthma. This may occur through mechanisms separate from NO inhibition or through pathways independent of those responsible for production of NO measured in exhaled air.


Subject(s)
Asthma/physiopathology , Bronchoconstriction/drug effects , Enzyme Inhibitors/administration & dosage , NG-Nitroarginine Methyl Ester/administration & dosage , Nitric Oxide Synthase/antagonists & inhibitors , Nitric Oxide/antagonists & inhibitors , Adenosine Monophosphate , Administration, Inhalation , Adult , Breath Tests , Bronchial Provocation Tests , Cross-Over Studies , Dose-Response Relationship, Drug , Double-Blind Method , Drug Administration Schedule , Enzyme Inhibitors/therapeutic use , Histamine , Humans , Male , Mast Cells/drug effects , Muscle, Smooth/drug effects , NG-Nitroarginine Methyl Ester/therapeutic use , Nitric Oxide/analysis
14.
Am J Respir Crit Care Med ; 158(1): 99-106, 1998 Jul.
Article in English | MEDLINE | ID: mdl-9655713

ABSTRACT

Endogenous exhaled nitric oxide (NO) is increased during the late response to inhaled allergen in patients with asthma and may be bronchoprotective in asthma or have a deleterious effect when generated in excess under inflammatory conditions. To investigate this, we evaluated the effect of inhibiting endogenous NO production with nebulized NG-nitro-L-arginine methyl ester (L-NAME), a nonselective NO synthase (NOS) inhibitor, on early and late asthmatic responses to inhaled allergen in patients with mild allergic asthma. After a screening allergen challenge (AC), 22 male patients attended two visits conducted in a double-blind, randomized, placebo-controlled, crossover manner. Twelve patients demonstrating an early asthmatic response only (single responders) inhaled either L-NAME 170 mg or 0.9% saline 20 min before AC, with exhaled NO and FEV1 measured for 3 h. Ten patients demonstrating both early and late asthmatic responses (dual responders) were studied in a similar fashion but inhaled two further doses of L-NAME or placebo 3.5 and 7 h after the initial dose, with exhaled NO and FEV1 measured for 10 h. L-NAME reduced exhaled NO levels by 77 +/- 5% (p < 0.01) and 71 +/- 7% (p < 0.01) in single and dual responders, respectively, but had no significant effect on early or late asthmatic responses. Following AC in single responders, the mean (+/- SEM) maximum fall in FEV1 after L-NAME and saline was 21.2 +/- 2.9% and 23.8 +/- 3.0%, respectively, and in dual responders, 31.2 +/- 4.5% and 31.8 +/- 5. 8% during the early asthmatic responses, and 27.4 +/- 3.9% and 30.6 +/- 4.5% during the late asthmatic responses, respectively. Area under the curve (AUC) did not significantly differ. AUC0-2 h in single responders after L-NAME and saline was 20.2 +/- 3.9 and 24.9 +/- 4.4 Delta% FEV1/h, and in dual responders, 37.6 +/- 8.4 and 36.7 +/- 8.4 Delta% FEV1/h, respectively, and 106.2 +/- 18.9 and 117.1 +/- 22.4 Delta% FEV1/h, respectively, for the AUC4-10 h. This study suggests that in mild allergic asthma, endogenous NO neither protects against nor contributes to the processes underlying airway responses to inhaled allergen.


Subject(s)
Asthma/physiopathology , Nitric Oxide/physiology , Adult , Bronchi/physiopathology , Bronchial Provocation Tests , Bronchoconstriction/drug effects , Cross-Over Studies , Double-Blind Method , Enzyme Inhibitors/pharmacology , Humans , Male , Middle Aged , NG-Nitroarginine Methyl Ester/pharmacology , Time Factors
15.
Biophys J ; 69(5): 1674-82, 1995 Nov.
Article in English | MEDLINE | ID: mdl-8580311

ABSTRACT

A continuum model describing the steady-state actin dynamics of the cytoskeleton of living cells has been developed to aid in the interpretation of photoactivated fluorescence experiments. In a simplified cell geometry, the model assumes uniform concentrations of cytosolic and cytoskeletal actin throughout the cell and no net growth of either pool. The spatiotemporal evolution of the fluorescent actin population is described by a system of two coupled linear partial-differential equations. An analytical solution is found using a Fourier-Laplace transform and important limiting cases relevant to the design of experiments are discussed. The results demonstrate that, despite being a complex function of the parameters, the fluorescence decay in photoactivated fluorescence experiments has a biphasic behavior featuring a short-term decay controlled by monomer diffusion and a long-term decay governed by the monomer exchange rate between the polymerized and unpolymerized actin pools. This biphasic behavior suggests a convenient mechanism for extracting the parameters governing the fluorescence decay from data records. These parameters include the actin monomer diffusion coefficient, filament turnover rate, and ratio of polymerized to unpolymerized actin.


Subject(s)
Actins/chemistry , Microscopy, Fluorescence/methods , Actins/physiology , Animals , Biophysical Phenomena , Biophysics , Biopolymers/chemistry , Biopolymers/physiology , Cytoskeleton/chemistry , Cytoskeleton/physiology , Humans , Mathematics , Models, Biological , Photochemistry , Protein Conformation
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