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Biomedical subjects

G H Pollack

Publications and source records attributed to G H Pollack.

At least 19 recordsLinked to original sources

'Minimum average risk' as a new peak-detection algorithm applied to myofibrillar dynamics.

We present a new peak-detection algorithm based on the method of 'minimum average risk' proposed by Kolmogorov and developed for signal processing in various fields. In this method, translations of features within a signal scan are quantified by minimizing the integrated pointwise product of each scan relative to the first derivative of the immediately previous scan. We have adapted this method for use in a new algorithm to monitor dynamic changes of sarcomere length in single myofibrillar sarcomeres of striated muscles, but the algorithm can also be used more generally for peak localization. We find that this method results in sub-nanometer precision and higher signal-to-noise ratio than current methods. At an equal noise level, the RMS deviation of the minimum average risk algorithm was 1.3 times lower than that of the center of mass method with modeled data and 3-4 times lower with actual data.

Algorithms↗

Quantal sarcomere-length changes in relaxed single myofibrils.

We carried out experiments on single isolated myofibrils in which thin filaments had been functionally removed, leaving the connecting (titin) filaments as the sole agent taking up the length change. With technical advances that gave sub-nanometer detectability we examined the time course of single sarcomere-length change when the myofibril was ramp-released or ramp-stretched by a motor. The sarcomere-length change was stepwise. Step sizes followed a consistent pattern: the smallest was approximately 2.3 nm, and others were integer multiples of that value. The approximately 2.3-nm step quantum is the smallest consistent biomechanical event ever demonstrated. Although the length change must involve the connecting filament, the size of the quantum is an order of magnitude smaller than anticipated from folding of Ig- or fibronectin-like domains, implying either that folding occurs in sub-domain units or that other mechanisms are involved.

Animals↗

Is the cell a gel--and why does it matter?

That the cell is a gel is broadly acknowledged. Textbooks begin with this assertion-and then proceed with great abandon to derive mechanisms based on free diffusion, as though the gel concept were groundless and cell was an aqueous solution. This disconnect emerges in part because the behavior of gels is not well understood, particularly among most biologists. Recently, great strides have been made in the understanding of gel behavior. It has become clear, for example, that a central mechanism in gel function is the phase-transition-a qualitative structural change prompted by a subtle change of environment, not unlike the transition from ice to water. Phase-transitions are capable of doing work. If the cell is a gel, then a logical approach to understanding cell function is to understand gel function-especially whether some role may be played by the phase-transition. Here we pursue this approach. We first consider the dichotomy of the cell as a gel and the cell as an aqueous solution. We then set up a gel-based foundation for cell behavior, in which the gels' physical chemical features are used to explore how the cell achieves its everyday tasks. If there is a common underlying mechanism of cell function, it appears that the polymer gel phase-transition could well be a candidate.

Animals↗

Phase transitions and molecular motion in the cell.

The cytoplasm exhibits all of the signature characteristics of a gel. The thesis put forth here is that the cytoplasm's gel-like character is central to the generation of biological movement. In artificial gels, a common vehicle for generating movement is the polymer-gel phase-transition. By undergoing phase-transition, gels produce motion of both solvent and solutes. It is argued that cells do the same. Three examples are given: the secretory system, the muscle contraction system and the biological streaming system. In each case it is shown that the characteristic motions may be created as proteins and water undergo transition from an expanded, hydrated state to a contracted, dehydrated state--or the reverse. These changes shift solutes and solvent in a characteristic way that depends on the respective organelle's structure. Phase-transitions are simple, powerful mechanisms that may be responsible for many, if not all, biological motions.

Actins↗

Intact connecting filaments change length in 2.3-nm quanta.

In isolated titin molecules, length changes may occur in discrete steps (Tskhovrebova et al., 1997; Rief et al., 1997). The extent to which such steps are preserved in the intact muscle-filament lattice has remained unclear. We carried out experiments on single isolated insect-flight-muscle myofibrils in which thin filaments had been functionally removed either by stretch beyond overlap or by a "rigor-stretch" protocol, leaving the connecting (titin) filaments as the sole length-absorbing agent. The myofibril was released or stretched by a motor in ramp-like fashion. The time course of length change in the single sarcomere was stepwise. The same was true for half-sarcomere lengths. The presence of steps at the sarcomere level implies that parallel filaments step synchronously, with high cooperativity. Step sizes showed a consistent distribution: The smallest size was approximately 2.3 nm, and others were integer multiples of that value. Similar results were found for stretch and release. To our knowledge, the approximately 2.3-nm step quantum is the smallest consistent biomechanical event ever demonstrated. This quantum is an order of magnitude smaller than anticipated from the folding/unfolding of a complete Ig- or fibronectin-like domain, and may imply that folding occurs in sub-domain increments. The 2.3-nm incremental length change corresponds to a single turn of the domains' beta sheet.

Animals↗

Quantal length changes in single contracting sarcomeres.

The time course of shortening was investigated in the single sarcomere, the smallest contractile unit that retains natural structure. We projected the striation patterns of single bumblebee flight-muscle myofibrils onto a linear photodiode array, which was scanned periodically to produce repetitive traces of intensity vs. position along the array. Sarcomere length was taken as the span between adjacent A-band or Z-line centroids. When myofibrils were ramp-released by a motor, individual sarcomeres shortened in steps punctuated by pauses. The single sarcomere-shortening trace was consistently stepwise both in activated and relaxed specimens. Although step size was variable, the size distribution showed a signature-like feature: the histogram comprised distinct peaks that were spaced quasi-regularly. In the activated myofibrils the interpeak separation corresponded to 2.71 nm per half-sarcomere. This value is equal to the linear advance of actin subunits along the thin filament. Thus, actin filaments translate over thick filaments by steps that may be integer multiples of the actin-subunit spacing.

Actins↗

Adaptation of a super-sensitive epitope detection technique for the immunoelectron microscopy of titin filaments in vertebrate striated muscle.

A super-sensitive epitope-detection technique based on gold-silver intensification was adapted for pre-embedding immunolabelling of titin filaments in vertebrate striated muscle. Indirect immunoelectron microscopy of titin filaments was performed with monoclonal titin antibodies as primary antibodies and Fab anti-mouse IgG conjugated with 1.4 nm gold particles as secondary antibodies. The secondary antibodies penetrated easily into the tissue owing to their reduced size and the very small gold particles. After the labelling procedure, the tissue was fixed in glutaraldehyde. Since the gold particles were not visible by conventional transmission electron microscopy, they were intensified with a silver developing system. Although the particle size varied nonlinearly with the developing time, very fine grain size was achievable. The technique provided super-sensitive detection with excellent contrast and demonstrated epitopes with both strong and weak affinities.

Animals↗

Implications of quantal motor action in biological systems.

We demonstrate in this paper that quantal behavior is a central feature of biological motile and contractile systems. Step-like behavior has been demonstrated in the interaction between single molecules and filaments both in the kinesin-microtubule system and in the myosin-actin filament system. We show here that the step-like molecular features appear also in the single intact sarcomere. We studied single sarcomeres of single bumble-bee myofibrils, both in the unactivated and activated states. Myofibril-length changes induced by a motor-imposed ramp were accompanied by corresponding sarcomere-length changes. However, the sarcomere-length changes were stepwise. Computer analysis of the stepwise shortening patterns revealed a step-size distribution containing multiple peaks. In the activated state, the peaks were separated by 2.7 nm per half-sarcomere which is the linear actin-subunit spacing. Thus, translation steps are an integer multiple of the actin-subunit spacing. This result parallels the one observed in the kinesin-tubulin spacing, where step size is a multiple of the tubulin-subunit spacing. In the muscle system, however, the steps are preserved on a macroscopic scale, implying high synchrony. The quantal steps are easily explained by a model in which the actin filament propels itself over stationary cross-bridges: if actin binds to the cross-bridges between steps, then the observed quantal result is inevitable. As probes of contractile phenomena approach the molecular level, the discrete unitary events underlying contraction begin to emerge. Thus, step-like behavior is observed as the single kinesin molecule translates along the microtubule, as the single myosin molecule translates over the actin filament, and as the single isolated titin molecule is stretched.

Actins↗

Elastic properties of isolated thick filaments measured by nanofabricated cantilevers.

Using newly developed nanofabricated cantilever force transducers, we have measured the mechanical properties of isolated thick filaments from the anterior byssus retractor muscle of the blue mussel Mytilus edulis and the telson levator muscle of the horseshoe crab Limulus polyphemus. The single thick filament specimen was suspended between the tip of a flexible cantilever and the tip of a stiff reference beam. Axial stress was placed on the filament, which bent the flexible cantilever. Cantilever tips were microscopically imaged onto a photodiode array to extract tip positions, which could be converted into force by using the cantilever stiffness value. Length changes up to 23% initial length (Mytilus) and 66% initial length (Limulus) were fully reversible and took place within the physiological force range. When stretch exceeded two to three times initial length (Mytilus) or five to six times initial length (Limulus), at forces approximately 18 nN and approximately 7 nN, respectively, the filaments broke. Appreciable and reversible strain within the physiological force range implies that thick-filament length changes could play a significant physiological role, at least in invertebrate muscles.

Actin Cytoskeleton↗

Stepwise dynamics of connecting filaments measured in single myofibrillar sarcomeres.

Single relaxed myofibrils of bumblebee flight muscle were subjected to motor-imposed ramp-length changes. The image of the striations was projected onto a linear photodiode array, and sarcomere length was computed as the spacing between centroids of contiguous A-bands. Centroid position was determined by integrating the respective A-band intensity peak and computing the location at which the area on one side was equal to the other. The resulting trace of centroid to centroid span versus time was stepwise, with periods of rapid shortening alternating with periods of pause. An alternative nondiscrete sensor gave similar steps. If thick filament length remains constant, stepwise sarcomere length changes imply that length changes in the connecting filament must be stepwise. Thus, shortening of the connecting filament occurs as a sequence of discrete events rather than as a continuous event.

Animals↗

Microfabricated cantilevers for measurement of subcellular and molecular forces.

We present two new microfabricated cantilever-beam force transducers. The transducers were fabricated from thin silicon-nitride films, and were used respectively to measure forces generated by two small-muscle preparations: the single myofibril, and the single actin filament in contact with a myosin-coated surface. A simple resonance method was developed to characterize the transducers. Because of the high reproducibility of lever dimensions and the consistency of the modulus of elasticity, few calibration measurements sufficed to characterize the stiffness of all the levers on a single wafer.

Calibration↗

Actin-filament motion in the in vitro motility assay has a periodic component.

The interaction between actin and myosin can be studied in the in vitro motility assay, where fluorescently labelled actin filaments are observed to move over a lawn of myosin heads. To examine details of this movement, we measured systematically the velocities of the front end, rear end, and centroid of the actin filament as the filament translated over the assay surface. We found that these velocities exhibited an unexpectedly periodic component, alternating regularly between high and low values, superimposed on the steady velocity component. The period of the oscillatory component was approximately 380 ms. When translation was stopped by an increase in osmolarity, the filaments wiggled with a periodicity similar to the translating filament, implying that wiggling and translation may be related. Rigor filaments showed no periodicity. From the frequency content of the auto- and cross-correlation functions derived from the velocities of the front end, rear end, and centroid of the actin filament, we infer a deterministic, possibly wave-like process travelling along the actin filament. Potential molecular mechanisms underlying this phenomenon are considered.

Actin Cytoskeleton↗

Interaction between titin and thin filaments in intact cardiac muscle.

A 'freeze break' technique and immunoelectron microscopy were used to study the elastic properties of cardiac titin filaments. Small bundles consisting of a few fibres from freshly prepared dog papillary muscle were quickly frozen and broken under liquid nitrogen to fracture sarcomeres in planes perpendicular to the filament axes. Breaks occurred at each of several regions along the sarcomeres. The still-frozen specimens were thawed during fixation to allow elastic filaments to retract. The broken muscle segments were then treated with monoclonal titin antibody 9D10 which labelled a unique epitope in the I-band. In sarcomeres broken at the A-I junction, the titin filaments reacted toward the Z-line, independently of the thin filaments. The retracted epitopes did not reach the Z-line; retraction stopped at the N1-line level. In sarcomeres broken near the Z-line, the titin filaments retracted in the opposite direction, to the tip of the thick filaments. When the break occurred in the A-band, by contrast, the titin-epitope position was unaffected. On the basis of these results, and despite the reported interaction of titin and actin in vitro, it appears that cardiac titin molecules form elastic filaments that are functionally independent of the thin filaments. Near the Z-line, however, the titin filaments seem to associate firmly with the thin filaments.

Actins↗

Imaging 'intact' myofibrils with a near-field scanning optical microscope.

Fluorescently labelled myofibrils were imaged in physiological salt solution by near-field scanning optical microscopy and shear-force microscopy. These myofibrils were imaged in vitro, naturally adhering to glass while retaining their ability to contract. The Z-line protein structure of the myofibrils was antibody labelled and easily identified in the near-field fluorescence images. The distinctive protein banding structure of the myofibril was also seen clearly in the shear-force images without any labelling requirement. With the microscope in the transmission mode, resolution of the fluorescence images was degraded significantly by excessive specimen thickness (> 1 micron), whereas the shear-force images were less affected by specimen thickness and more affected by poor adherence to the substrate. Although the exact mechanism generating contrast in the shear-force images is still unknown, shear-force imaging appears to be a promising new imaging modality.

Animals↗

Basis of passive tension and stiffness in isolated rabbit myofibrils.

By examining the mechanical properties of isolated skeletal and cardiac myofibrils in calcium-free, ATP-containing solution, we attempted to separate the stiffness contribution of titin filaments from that of weakly bound cross bridges. Efforts to enhance weak cross-bridge binding by lowering ionic strength were met by clear contractile responses. Even at low temperature, myofibrils bathed in low-ionic-strength relaxing solution generated increased force and exhibited sarcomere shortening, apparently caused by active contraction. At normal ionic strength, myofibril stiffness, estimated from the force response to rapid sinusoidal oscillations, increased steadily with sarcomere extension up to a strain limit. No obvious stiffness contribution from weak cross bridges was detectable. Instead, the stiffness response, which was frequency dependent at all sarcomere lengths, was apparently generated by the viscoelastic titin filaments. During imposed stretch-hold ramps, both peak force/stiffness and the amount of subsequent stress relaxation increased with higher stretch rates, larger stretch amplitudes, and longer sarcomere lengths. We conclude that, for a truly relaxed myofibril, both passive force and dynamic stiffness principally reflect the intrinsic viscoelastic properties of the titin filaments.

Animals↗

Rescue of in vitro actin motility halted at high ionic strength by reduction of ATP to submicromolar levels.

The combined effects of ATP concentration and ionic strength were studied in an actomyosin in vitro motility assay using skeletal and cardiac myosin. The velocity of actin filaments increased up to a critical ionic strength, at which filament sliding stopped. At or above the critical ionic strength, filaments did not slide, but wiggled while focally attached to the surface. At these high ionic strengths, when the ATP concentration (originally 1 mM) was progressively reduced (down to submicromolar levels) by rigor-solution washes, the stationary, wiggling actin filaments promptly started to slide. The effect was reversible; upon adding ATP again, the sliding movement stopped, and wiggling began. The ATP washout-induced motility at high ionic strength may be explained by an electrostatic mechanism which determines the affinity of myosin to actin. The critical ionic strength was different for skeletal and cardiac myosin. For skeletal it was 77 mM, while for cardiac it was only 57 mM. Cardiac myosin's lower critical ionic strength implies a lower affinity to actin.

Actomyosin↗

Phase transitions and the molecular mechanism of contraction.

In this paper, the rotating cross-bridge mechanism for muscle contraction is discussed and much contradictory evidence is put forward. As an alternative, a model is given in which the motor of muscle contraction is placed in the myosin-rod hinge and/or in the actin filament. No definite choice for one of the proposed models can be made yet, although it is clear that some kind of phase transition plays an important role in the mechanism.

Amino Acid Sequence↗