A kinetic molecular model of the reversible unfolding and refolding of titin under force extension.

Molecular elasticity is a physicomechanical property that is associated with a select number of polypeptides and proteins, such as the giant muscle protein, titin, and the extracellular matrix protein, tenascin. Both proteins have been the subject of atomic force microscopy (AFM), laser tweezer, and other in vitro methods for examining the effects of force extension on the globular (FNIII/Ig-like) domains that comprise each protein. In this report we present a time-dependent method for simulating AFM force extension and its effect on FNIII/Ig domain unfolding and refolding. This method treats the unfolding and refolding process as a standard three-state protein folding model (U right arrow over left arrow T right arrow over left arrow F, where U is the unfolded state, T is the transition or intermediate state, and F is the fully folded state), and integrates this approach within the wormlike chain (WLC) concept. We simulated the effect of AFM tip extension on a hypothetical titin molecule comprised of 30 globular domains (Ig or FNIII) and 25% Pro-Glu-Val-Lys (PEVK) content, and analyzed the unfolding and refolding processes as a function of AFM tip extension, extension rate, and variation in PEVK content. In general, we find that the use of a three-state protein-folding kinetic-based model and the implicit inclusion of PEVK domains can accurately reproduce the experimental force-extension curves observed for both titin and tenascin proteins. Furthermore, our simulation data indicate that PEVK domains exhibit extensibility behavior, assist in the unfolding and refolding of FNIII/Ig domains in the titin molecule, and act as a force "buffer" for the FNIII/Ig domains, particularly at low and moderate extension forces.     

Role of titin in vertebrate striated muscle

Titin is a giant muscle protein with a molecular weight in the megaDalton range and a contour length of more than 1 microm. Its size and location within the sarcomere structure determine its important role in the mechanism of muscle elasticity. According to the current consensus, elasticity stems directly from more than one type of spring-like behaviour of the I-band portion of the molecule. Starting from slack length, extension of the sarcomere first causes straightening of the molecule. Further extension then induces local unfolding of a unique sequence, the PEVK region, which is named due to the preponderance of these amino-acid residues. High speeds of extension and/or high forces are likely to lead to unfolding of the beta-sandwich domains from which the molecule is mainly constructed. A release of tension leads to refolding and recoiling of the polypeptide. Here, we review the literature and present new experimental material related to the role of titin in muscle elasticity. In particular, we analyse the possible influence of the arrangement and environment of titin within the sarcomere structure on its extensible behaviour. We suggest that, due to the limited conformational space, elongation and compression of the molecule within the sarcomere occur in a more ordered way or with higher viscosity and higher forces than are observed in solution studies of the isolated protein.     

Point mutations alter the mechanical stability of immunoglobulin modules

Immunoglobulin-like modules are common components of proteins that play mechanical roles in cells such as muscle elasticity and cell adhesion. Mutations in these proteins may affect their mechanical stability and thus may compromise their function. Using single molecule atomic force microscopy (AFM) and protein engineering, we demonstrate that point mutations in two beta-strands of an immunoglobulin module in human cardiac titin alter the mechanical stability of the protein, resulting in mechanical phenotypes. Our results demonstrate a previously unrecognized class of phenotypes that may be common in cell adhesion and muscle proteins.     

Steered molecular dynamics studies of titin I1 domain unfolding

The cardiac muscle protein titin, responsible for developing passive elasticity and extensibility of muscle, possesses about 40 immunoglobulin-like (Ig) domains in its I-band region. Atomic force microscopy (AFM) and steered molecular dynamics (SMD) have been successfully combined to investigate the reversible unfolding of individual Ig domains. However, previous SMD studies of titin I-band modules have been restricted to I27, the only structurally known Ig domain from the distal region of the titin I-band. In this paper we report SMD simulations unfolding I1, the first structurally available Ig domain from the proximal region of the titin I-band. The simulations are carried out with a view toward upcoming atomic force microscopy experiments. Both constant velocity and constant force stretching have been employed to model mechanical unfolding of oxidized I1, which has a disulfide bond bridging beta-strands C and E, as well as reduced I1, in which the disulfide bridge is absent. The simulations reveal that I1 is protected against external stress mainly through six interstrand hydrogen bonds between its A and B beta-strands. The disulfide bond enhances the mechanical stability of oxidized I1 domains by restricting the rupture of backbone hydrogen bonds between the A'- and G-strands. The disulfide bond also limits the maximum extension of I1 to approximately 220 A. Comparison of the unfolding pathways of I1 and I27 are provided and implications to AFM experiments are discussed.     

Modeling AFM-induced PEVK extension and the reversible unfolding of Ig/FNIII domains in single and multiple titin molecules

Molecular elasticity is associated with a select number of polypeptides and proteins, such as titin, Lustrin A, silk fibroin, and spider silk dragline protein. In the case of titin, the globular (Ig) and non-globular (PEVK) regions act as extensible springs under stretch; however, their unfolding behavior and force extension characteristics are different. Using our time-dependent macroscopic method for simulating AFM-induced titin Ig domain unfolding and refolding, we simulate the extension and relaxation of hypothetical titin chains containing Ig domains and a PEVK region. Two different models are explored: 1) a series-linked WLC expression that treats the PEVK region as a distinct entropic spring, and 2) a summation of N single WLC expressions that simulates the extension and release of a discrete number of parallel titin chains containing constant or variable amounts of PEVK. In addition to these simulations, we also modeled the extension of a hypothetical PEVK domain using a linear Hooke's spring model to account for "enthalpic" contributions to PEVK elasticity. We find that the modified WLC simulations feature chain length compensation, Ig domain unfolding/refolding, and force-extension behavior that more closely approximate AFM, laser tweezer, and immunolocalization experimental data. In addition, our simulations reveal the following: 1) PEVK extension overlaps with the onset of Ig domain unfolding, and 2) variations in PEVK content within a titin chain ensemble lead to elastic diversity within that ensemble.     

Towards a Molecular Understanding of the Elasticity of Titin

Vertebrate striated muscle behaves elastically when stretched and this property is thought to reside primarily within the giant filamentous protein, titin (connectin). The elastic portion of titin comprises two distinct structural motifs, immunoglobulin (Ig) domains and the PEVK titin, which is a novel motif family rich in proline, glutamate, valine and lysine residues. The respective contributions of the titin Ig and the PEVK sequences to the elastic properties of the molecule have been unknown so far. We have measured both the passive tension in single, isolated myofibrils from cardiac and skeletal muscle and the stretch-induced translational movement of I-band titin antibody epitopes following immunofluorescent labelling of sites adjacent to the PEVK and Ig domain regions. We found that with myofibril stretch, I-band titin does not extend homogeneously. The Ig domain region lengthened predominantly during small stretch, but such lengthening did not result in measurable passive tension and might be explained by straightening, rather than by unfolding, of the Ig repeats. At moderate to extreme stretch, the main extensible region was found to be the PEVK segment whose unravelling was correlated with a steady passive tension increase. In turn, PEVK domain transition from a linearly extended to a folded state appears to be principally responsible for the elasticity of muscle fibers. Thus, the length of the PEVK sequence may determine the tissue-specificity of muscle stiffness, whereas the expression of different Ig domain motif lengths may set the characteristic slack sarcomere length of a muscle type.     

Spontaneous dimerization of titin protein Z1Z2 domains induces strong nanomechanical anchoring

Muscle elasticity strongly relies on the mechanical anchoring of the giant protein titin to both the sarcomere M-band and the Z-disk. Such strong attachment ensures the reversible dynamics of the stretching-relaxing cycles determining the muscle passive elasticity. Similarly, the design of biomaterials with enhanced elastic function requires experimental strategies able to secure the constituent molecules to avoid mechanical failure. Here we show that an engineered titin-mimicking protein is able to spontaneously dimerize in solution. Our observations reveal that the titin Z1Z2 domains are key to induce dimerization over a long-range distance in proteins that would otherwise remain in their monomeric form. Using single molecule force spectroscopy, we measure the threshold force that triggers the noncovalent transition from protein dimer to monomer, occurring at ～700 piconewtons. Such extremely high mechanical stability is likely to be a natural protective mechanism that guarantees muscle integrity. We propose a simple molecular model to understand the force-induced dimer-to-monomer transition based on the geometric distribution of forces occurring within a dimeric protein under mechanical tension.     

Mechanics and structure of titin oligomers explored with atomic force microscopy

Titin is a giant polypeptide that spans half of the striated muscle sarcomere and generates passive force upon stretch. To explore the elastic response and structure of single molecules and oligomers of titin, we carried out molecular force spectroscopy and atomic force microscopy (AFM) on purified full-length skeletal-muscle titin. From the force data, apparent persistence lengths as long as approximately 1.5 nm were obtained for the single, unfolded titin molecule. Furthermore, data suggest that titin molecules may globally associate into oligomers which mechanically behave as independent wormlike chains (WLCs). Consistent with this, AFM of surface-adsorbed titin molecules revealed the presence of oligomers. Although oligomers may form globally via head-to-head association of titin, the constituent molecules otherwise appear independent from each other along their contour. Based on the global association but local independence of titin molecules, we discuss a mechanical model of the sarcomere in which titin molecules with different contour lengths, corresponding to different isoforms, are held in a lattice. The net force response of aligned titin molecules is determined by the persistence length of the tandemly arranged, different WLC components of the individual molecules, the ratio of their overall contour lengths, and by domain unfolding events. Biased domain unfolding in mechanically selected constituent molecules may serve as a compensatory mechanism for contour- and persistence-length differences. Variation in the ratio and contour length of the component chains may provide mechanisms for the fine-tuning of the sarcomeric passive force response.     

Mechanics and structure of titin oligomers explored with atomic force microscopy

Titin is a giant polypeptide that spans half of the striated muscle sarcomere and generates passive force upon stretch. To explore the elastic response and structure of single molecules and oligomers of titin, we carried out molecular force spectroscopy and atomic force microscopy (AFM) on purified full-length skeletal-muscle titin. From the force data, apparent persistence lengths as long as ∼1.5 nm were obtained for the single, unfolded titin molecule. Furthermore, data suggest that titin molecules may globally associate into oligomers which mechanically behave as independent wormlike chains (WLCs). Consistent with this, AFM of surface-adsorbed titin molecules revealed the presence of oligomers. Although oligomers may form globally via head-to-head association of titin, the constituent molecules otherwise appear independent from each other along their contour. Based on the global association but local independence of titin molecules, we discuss a mechanical model of the sarcomere in which titin molecules with different contour lengths, corresponding to different isoforms, are held in a lattice. The net force response of aligned titin molecules is determined by the persistence length of the tandemly arranged, different WLC components of the individual molecules, the ratio of their overall contour lengths, and by domain unfolding events. Biased domain unfolding in mechanically selected constituent molecules may serve as a compensatory mechanism for contour- and persistence-length differences. Variation in the ratio and contour length of the component chains may provide mechanisms for the fine-tuning of the sarcomeric passive force response.     

Mechanical fatigue in repetitively stretched single molecules of titin

Relaxed striated muscle cells exhibit mechanical fatigue when exposed to repeated stretch and release cycles. To understand the molecular basis of such mechanical fatigue, single molecules of the giant filamentous protein titin, which is the main determinant of sarcomeric elasticity, were repetitively stretched and released while their force response was characterized with optical tweezers. During repeated stretch-release cycles titin becomes mechanically worn out in a process we call molecular fatigue. The process is characterized by a progressive shift of the stretch-force curve toward increasing end-to-end lengths, indicating that repeated mechanical cycles increase titin's effective contour length. Molecular fatigue occurs only in a restricted force range (0-25 pN) during the initial part of the stretch half-cycle, whereas the rest of the force response is repeated from one mechanical cycle to the other. Protein-folding models fail to explain molecular fatigue on the basis of an incomplete refolding of titin's globular domains. Rather, the process apparently derives from the formation of labile nonspecific bonds cross-linking various sites along a pre-unfolded titin segment. Because titin's molecular fatigue occurs in a physiologically relevant force range, the process may play an important role in dynamically adjusting muscle's response to the recent history of mechanical perturbations.     

Mechanical stability and differentially conserved physical–chemical properties of titin Ig‐domains

The mechanisms that determine mechanical stabilities of protein folds remain elusive. Our understanding of these mechanisms is vital to both bioengineering efforts and to the better understanding and eventual treatment of pathogenic mutations affecting mechanically important proteins such as titin. We present a new approach to analyze data from single‐molecule force spectroscopy for different domains of the giant muscle protein titin. The region of titin found in the I‐band of a sarcomere is composed of about 40 Ig‐domains and is exposed to force under normal physiological conditions and connects the free‐hanging ends of the myosin filaments to the Z‐disc. Recent single‐molecule force spectroscopy data show a mechanical hierarchy in the I‐band domains. Domains near the C‐terminus in this region unfold at forces two to three times greater than domains near the beginning of the I‐band. Though all of these Ig‐domains are thought to share a fold and topology common to members of the Ig‐like fold family, the sequences of neighboring domains vary greatly with an average sequence identity of only 25%. We examine in this study the relation of these unique mechanical stabilities of each I‐band Ig domain to specific, conserved physical–chemical properties of amino acid sequences in related Ig domains. We find that the sequences of each individual titin Ig domain are very highly conserved, with an average sequence identity of 79% across species that are divergent as humans, chickens, and zebra fish. This indicates that the mechanical properties of each domain are well conserved and tailored to its unique position in the titin molecule. We used the PCPMer software to determine the conservation of amino acid properties in titin Ig domains grouped by unfolding forces into “strong” and “weak” families. We found two motifs unique to each family that may have some role in determining the mechanical properties of these Ig domains. A detailed statistical analysis of properties of individual residues revealed several positions that displayed differentially conserved properties in strong and weak families. In contrast to previous studies, we find evidence that suggests that the mechanical stability of Ig domains is determined by several residues scattered across the β‐sandwich fold, and force sensitive residues are not only confined to the A′‐G region. Proteins 2009. © 2008 Wiley‐Liss, Inc.     

Evidence for the oligomeric state of 'elastic' titin in muscle sarcomeres

The giant protein titin has important roles in muscle sarcomere integrity, elasticity and contractile activity. The key role in elasticity was highlighted in recent years by single-molecule mechanical studies, which showed a direct relationship between the non-uniform structure of titin and the hierarchical mechanism of its force-extension behavior. Further advances in understanding mechanisms controlling sarcomere structure and elasticity require detailed knowledge of titin arrangement and interactions in situ. Here we present data on the structure and self-interactive properties of an ∼ 290 kDa (∼ 100 nm long) tryptic fragment from the I-band part of titin that is extensible in situ. The fragment includes the conserved ‘distal’ tandem Ig segment of the molecule and forms side-by-side oligomers with distinctive 4 nm cross-striations. Comparisons between these oligomers and the end filaments seen at the tips of native thick filaments indicate identical structure. This shows that end-filaments are formed by the elastic parts of six titin molecules connecting each end of the thick filament to the Z-line. Self-association of elastic titin into stiff end-filaments adds a further hierarchical level in the mechanism of titin extensibility in muscle cells. Self-association of this part of titin may be required to prevent interference of the individual flexible molecules with myosin cross-bridges interacting with actin.     

Modulation of Titin-Based Stiffness by Disulfide Bonding in the Cardiac Titin N2-B Unique Sequence

The giant protein titin is responsible for the elasticity of nonactivated muscle sarcomeres. Titin-based passive stiffness in myocardium is modulated by titin-isoform switching and protein-kinase (PK)A- or PKG-dependent titin phosphorylation. Additional modulatory effects on titin stiffness may arise from disulfide bonding under oxidant stress, as many immunoglobulin-like (Ig-)domains in titin's spring region have a potential for S-S formation. Using single-molecule atomic force microscopy (AFM) force-extension measurements on recombinant Ig-domain polyprotein constructs, we show that titin Ig-modules contain no stabilizing disulfide bridge, contrary to previous belief. However, we demonstrate that the human N2-B-unique sequence (N2-B_us), a cardiac-specific, physiologically extensible titin segment comprising 572 amino-acid residues, contains up to three disulfide bridges under oxidizing conditions. AFM force spectroscopy on recombinant N2-B_us molecules demonstrated a much shorter contour length in the absence of a reducing agent than in its presence, consistent with intramolecular S-S bonding. In stretch experiments on isolated human heart myofibrils, the reducing agent thioredoxin lowered titin-based stiffness to a degree that could be explained (using entropic elasticity theory) by altered extensibility solely of the N2-B_us. We conclude that increased oxidant stress can elevate titin-based stiffness of cardiomyocytes, which may contribute to the global myocardial stiffening frequently seen in the aging or failing heart.     

Unfolding of titin domains explains the viscoelastic behavior of skeletal myofibrils

The elastic section of the giant muscle protein titin contains many immunoglobulin-like domains, which have been shown by single-molecule mechanical studies to unfold and refold upon stretch-release. Here we asked whether the mechanical properties of Ig domains and/or other titin regions could be responsible for the viscoelasticity of nonactivated skeletal-muscle sarcomeres, particularly for stress relaxation and force hysteresis. We show that isolated psoas myofibrils respond to a stretch-hold protocol with a characteristic force decay that becomes more pronounced following stretch to above 2.6-microm sarcomere length. The force decay was readily reproducible by a Monte Carlo simulation taking into account both the kinetics of Ig-domain unfolding and the worm-like-chain model of entropic elasticity used to describe titin's elastic behavior. The modeling indicated that the force decay is explainable by the unfolding of only a very small number of Ig domains per titin molecule. The simulation also predicted that a unique sequence in titin, the PEVK domain, may undergo minor structural changes during sarcomere extension. Myofibrils subjected to 1-Hz cycles of stretch-release exhibited distinct hysteresis that persisted during repetitive measurements. Quick stretch-release protocols, in which variable pauses were introduced after the release, revealed a two-exponential time course of hysteresis recovery. The rate constants of recovery compared well with the refolding rates of Ig-like or fibronectin-like domains measured by single-protein mechanical analysis. These findings suggest that in the sarcomere, titin's Ig-domain regions may act as entropic springs capable of adjusting their contour length in response to a stretch.     

Stretching molecular springs: elasticity of titin filaments in vertebrate striated muscle

Titin, the giant protein of striated muscle, provides a continuous link between the Z-disk and the M-line of a sarcomere. The elastic I-band section of titin comprises two main structural elements, stretches of immunoglobulin-like domains and a unique sequence, the PEVK segment. Both elements contribute to the extensibility and passive force development of nonactivated muscle. Extensibility of the titin segments in skeletal muscle has been determined by immunofluorescence/immunoelectron microscopy of sarcomeres stained with sequence-assigned titin antibodies. The force developed upon stretch of titin has been measured on isolated molecules or recombinant titin fragments with the help of optical tweezers and the atomic force microscope. Force has also been measured in single isolated myofibrils. The force-extension relation of titin could be readily fitted with models of biopolymer elasticity. For physiologically relevant extensions, the elasticity of the titin segments was largely explainable by an entropic-spring mechanism. The modelling explains why during stretch of titin, the Ig-domain regions (with folded modules) extend before the PEVK domain. In cardiac muscle, I-band titin is expressed in different isoforms, termed N2-A and N2-B. The N2-A isoform resembles that of skeletal muscle, whereas N2-B titin is shorter and is distinguished by cardiac-specific Ig-motifs and nonmodular sequences within the central I-band section. Examination of N2-B titin extensibility revealed that this isoform extends by recruiting three distinct elastic elements: poly-Ig regions and the PEVK domain at lower stretch and, in addition, a unique 572-residue sequence insertion at higher physiological stretch. Extension of all three elements allows cardiac titin to stretch fully reversibly at physiological sarcomere lengths, without the need to unfold individual Ig domains. However, unfolding of a very small number of Ig domains remains a possibility.     

Flexibility and extensibility in the titin molecule: analysis of electron microscope data.

Muscle elasticity derives directly from titin extensibility, which stems from three distinct types of spring-like behaviour of the I-band portion of the molecule. With progressively greater forces and sarcomere lengths, the molecule straightens and then unfolds, first in the PEVK-region and then in individual immunoglobulin domains. Here, we report quantitative analysis of flexibility and extensibility in isolated titin molecules visualized by electron microscopy. Conformations displayed by molecules dried on a substrate vary from a random coil to rod-like, demonstrating highly flexible and easily deformable tertiary structure. The particular conformation observed depends on the "wettability" of the substrate during specimen preparation: higher wettability favours coiled conformations, whereas lower wettability results in more extended molecules. Extension is shown to occur during liquid dewetting. Statistical methods of conformational analysis applied to a population of coiled molecules gave an average persistence length 13.5(+/-4.5) nm. The close correspondence of this value to an earlier one from light-scattering studies confirms that conformations observed by microscopy closely reflected the equilibrium conformation in solution. Analysis of hydrodynamic forces exerted during dewetting also indicates that the force causing straightening of the molecules and extension of the PEVK-region is in the picoNewton range, whereas unfolding of the immunoglobulin and fibronectin domains may require forces about tenfold higher. The microscope data directly illustrate the relationship between titin conformation and the magnitude of applied force. They also suggest the presence of torsional stiffness in the molecule, which may affect considerations of elasticity.     

Viscoelastic study of the mechanical unfolding of a protein by AFM

We have applied a dynamic force modulation technique to the mechanical unfolding of a homopolymer of immunoglobulin (Ig) domains from titin, (C47S C63S I27)5, [(I27)5] to determine the viscoelastic response of single protein molecules as a function of extension. Both the stiffness and the friction of the homopolymer system show a sudden decrease when a protein domain unfolds. The decrease in measured friction suggests that the system is dominated by the internal friction of the (I27)5 molecule and not solvent friction. In the stiffness-extension spectrum we detected an abrupt feature before each unfolding event, the amplitude of which decreased with each consecutive unfolding event. We propose that these features are a clear indication of the formation of the known unfolding intermediate of I27, which has been observed previously in constant velocity unfolding experiments. This simple force modulation AFM technique promises to be a very useful addition to constant velocity experiments providing detailed viscoelastic characterization of single molecules under extension.     

Titin as a giant scaffold for integrating stress and Src homology domain 3-mediated signaling pathways: the clustering of novel overlap ligand motifs in the elastic PEVK segment

The richness of proline sequences in titins qualifies these giant proteins as the largest source of intrinsically disordered structures in nature. An extensive search and analysis for Src homology domain 3 (SH3) ligand motifs revealed a myriad of broadly distributed SH3 ligand motifs, with the highest density in the PEVK segments of human titin. Besides the canonical class I and II motifs with opposite orientations, novel overlapping motifs consisting of one or more of each canonical motif are abundant. Experimentally, the binding affinity and critical residues of these putative titin-based SH3 ligands toward nebulin SH3 and other SH3-containing proteins in muscle and non-muscle cell extracts were validated with peptide array technology and by the sarcomere distribution of SH3-containing proteins. A 28-mer overlapping motif-containing PEVK module binds to nebulin SH3 in and around the canonical cleft, especially to the acidic residues in the loops, as revealed by NMR titration. Molecular dynamics and molecular docking studies indicated that the overlapping motif can bind in opposite orientations with comparable energy and contact areas and predicts correctly orientation-specific contacts in NMR data. We propose that the overlap ligand motifs are a new class of ligands with innate ability to dictate SH3 domain orientation and to facilitate the rate, strength, and stereospecificity of receptor interactions. Proline-rich sequences of titins are candidates as major hubs of SH3-dependent signaling pathways. The interplay of elasticity and dense clustering of mixed receptor orientations in titin PEVK segment have important implications for the mechanical sensing, force sensitivity, and inter-adapter interactions in signaling pathways.     

The elasticity of individual titin PEVK exons measured by single molecule atomic force microscopy

The I-band region of the giant muscle protein titin contains a large domain enriched for the amino acids proline, glutamate, valine, and lysine and is denoted the PEVK domain. The PEVK domain of titin encodes a random coil shown to be an important factor in the passive elasticity of titin. Muscle-specific splicing of 116 PEVK exons encodes this domain. It has been proposed that proline contents determine the elasticity of the PEVK polypeptide, where the individual exons code for "flexibility cassettes." To test this hypothesis, we have measured the elasticity of three distinct polypeptides encoded by individual PEVK exons (161, 120 and 184) that varied greatly in their proline contents (7, 14, and 37% respectively) and total PEVK contents (55, 70, and 87%). We used single molecule atomic force microscopy techniques to measure the persistence length, p, of the engineered PEVK proteins. Surprisingly, all three exons 161, 120, and 184 coded for proteins with similar values of persistence length, p = 0.92 +/- 0.38, 0.89 +/- 0.42, and 0.98 +/- 0.4 nm, respectively. We conclude that the PEVK exons encode polypeptides of similar elastic properties, unrelated to their total PEVK contents. Hence, alternative splicing solely adjusts the length of the PEVK domain of titin.