Biomedical subjects

Charles B Lindemann

Publications and source records attributed to Charles B Lindemann.

6 recordsLinked to original sources

PubMed2005

The counterbend phenomenon in dynein-disabled rat sperm flagella and what it reveals about the interdoublet elasticity.

Rat sperm that have been rendered passive by disabling the dynein motors with 50 muM sodium metavanadate and 0.1 mM ATP exhibit an interesting response to imposed bending. When the proximal flagellum is bent with a microprobe, the portion of the flagellum distal to the probe contact point develops a bend in the direction opposite the imposed bend. This "counterbend" is not compatible with a simple elastic beam. It can be satisfactorily explained by the sliding tubule model of flagellar structure but only if there are permanent elastic connections between the outer doublets of the axoneme. The elastic component that contributes the bending torque for the counterbend does not reset to a new equilibrium position after an imposed bend but returns the flagellum to a nearly straight or slightly curved final position after release from the probe. This suggests it is based on fixed, rather than mobile, attachments. It is also disrupted by elastase or trypsin digestion, confirming that it is dependent on a protein linkage. Adopting the assumption that the elasticity is attributed to the nexin links that repeat at 96 nm intervals, we find an apparent elasticity for each link that ranges from 1.6 to 10 x 10(-5) N/m. However, the elasticity is nonlinear and does not follow Hooke's law but appears to decrease with increased stretch. In addition, the responsible elastic elements must be able to stretch to more than 10 times their resting length without breakage to account for the observed counterbend formation. Elasticity created by some type of protein unfolding may be the only viable explanation consistent with both the extreme capacity for extension and the nonlinear character of the restoring force that is observed.

Animals↗

PubMed2004

Direct measurement of the passive stiffness of rat sperm and implications to the mechanism of the calcium response.

Glass microprobes were used to measure the stiffness of the flagella of Triton X-100-extracted rat sperm models. The sperm models were treated with 50 microM sodium vanadate and 0.1 mM Mg-ATP to evaluate the stiffness of the passive flagellar structure without the influence of the dynein motor proteins. The passive stiffness was determined to be 4.6 (+/- 1.1) x 10(-19) N x m(2). Rat sperm models exposed to greater than 10(-5) M calcium ions exhibit a strong bend in the basal 40 microm of the flagellum, resulting in a fishhook-like appearance. The torque required to bend a passive rat sperm flagellum into the fishhook-like configuration was determined. The result was compared to the previously published measurement of the torque required to straighten the flagella of rat sperm in the Ca(2+)-induced fishhook configuration [Moritz et al., 2001: Cell Motil. Cytoskeleton 49:33-40]. The torque required to induce a fishhook in a passive flagellum was 2.7 (+/- 0.7) x 10(-14) N x m and the torque to straighten an active Ca(2+)-induced fishhook was 2.6 (+/- 1.4) x 10(-14) N x m. These values are identical within the limit of error of the measurement technique. This finding suggests that the fishhook configuration observed in the Ca(2+) response of rat sperm is the result of a Newtonian equilibrium, where active torque produced by dynein is counterbalanced by an equal and opposite passive torque that results from bending the flagellum. Consistent with this mechanism, the Ca(2+)-induced fishhook configuration is progressively relaxed by incremental increases in sodium vanadate concentration. This supports an active role of the dynein motors in producing the torque for the response. When rat sperm respond to Ca(2+), the bend in the flagellum always forms in the direction opposite the curvature of the asymmetric sperm head. Based on this polarity, the bending torque for the Ca(2+) response must result from the action of the dyneins on outer doublets 1 through 4.

Animals↗

PubMed2004

Testing the geometric clutch hypothesis.

The Geometric Clutch hypothesis is based on the premise that transverse forces (t-forces) acting on the outer doublets of the eukaryotic axoneme coordinate the action of the dynein motors to produce flagellar and ciliary beating. T-forces result from tension and compression on the outer doublets when a bend is present on the flagellum or cilium. The t-force acts to pry the doublets apart in an active bend, and push the doublets together when the flagellum is passively bent and thus could engage and disengage the dynein motors. Computed simulations of this working mechanism have reproduced the beating pattern of simple cilia and flagella, and of mammalian sperm. Cilia-like beating, with a clearly defined effective and recovery stroke, can be generated using one uniformly applied switching algorithm. When the mechanical properties and dimensions appropriate to a specific flagellum are incorporated into the model the same algorithm can simulate a sea urchin or bull sperm-like beat. The computed model reproduces many of the observed behaviors of real flagella and cilia. The model can duplicate the results of outer arm extraction experiments in cilia and predicted two types of arrest behavior that were verified experimentally in bull sperm. It also successfully predicted the experimentally determined nexin elasticity. Calculations based on live and reactivated sea urchin and bull sperm yielded a value of 0.5 nN/microm for the t-force at the switch-point. This is a force sufficient to overcome the shearing force generated by all the dyneins on one micron of outer doublet. A t-force of this magnitude should produce substantial distortion of the axoneme at the switch-point, especially in spoke or spoke-head deficient motile flagella. This concrete and verifiable prediction is within the grasp of recent advances in imaging technology, specifically cryoelectron microscopy and atomic force microscopy.

Animals↗

PubMed2003

Does axonemal dynein push, pull, or oscillate?

Dynein is the molecular motor that provides motive force in cilia and flagella. Dynein is anchored to the A-subtubule of the outer doublets by a club-shaped extension called the stem, which supports the large globular head of the molecule. Dynein forms an attachment or cross-bridge to the B-subtubule of the adjacent outer doublet through a slender appendage extending from the head that is called the stalk or alternately the B-link. It is generally thought that the B-link mediates the interdoublet transfer of force that bends the flagellum. This requires that energy released at the site of ATP hydrolysis, located in the globular head, be transferred as mechanical work to the microtubule binding site at the tip of the B-link. It has been proposed that this is accomplished by a sideways or rotational translocation of the B-link caused by a rotation of the globular head. An estimate of the stiffness of the B-link and stem derived from the recently published data of Burgess et al. [2003: Nature 421:715-718] yields a maximum stiffness of 0.47 pN/nm for the B-link and 0.1 pN/nm for the stem. The B-link stiffness would allow transfer of 3.8 pN of force in response to an 8-nm displacement of the B-link tip. However, if as proposed the globular head of the dynein heavy chain is supported by the stem, the B-link and stem elasticity are in series. Thus, the flexibility of the stem would limit the force that can be transferred laterally by the entire dynein heavy chain to 0.6 pN at 8 nm displacement. This force is insufficient to support flagellar motility. So, if the stem were the only support for the globular head, then force would have to be transmitted linearly along the axis defined by the stem and B-link. Because this configuration is never observed, the hypothesis that dynein generates force by lateral displacement of the B-link is more attractive, but requires that the globular head of the dynein is stabilized by an additional means of support during the power stroke. We propose that the microtubule affinity of the tip of the B-link is independent of the ATP-dependent powerstroke, and that detachment from the B-subtubule is regulated by tension. A dynein cross-bridge cycle that incorporates an anchored head, together with a ratchet-like mechanism for microtubule translocation by the B-link, would have distinct advantages. This mechanism may reconcile dynein oscillation and interdoublet sliding within one cross-bridge mechanism.

Adenosine Triphosphate↗

PubMed2003

Structural-functional relationships of the dynein, spokes, and central-pair projections predicted from an analysis of the forces acting within a flagellum.

In the axoneme of eukaryotic flagella the dynein motor proteins form crossbridges between the outer doublet microtubules. These motor proteins generate force that accumulates as linear tension, or compression, on the doublets. When tension or compression is present on a curved microtubule, a force per unit length develops in the plane of bending and is transverse to the long axis of the microtubule. This transverse force (t-force) is evaluated here using available experimental evidence from sea urchin sperm and bull sperm. At or near the switch point for beat reversal, the t-force is in the range of 0.25-1.0 nN/ micro m, with 0.5 nN/ micro m the most likely value. This is the case in both beating and arrested bull sperm and in beating sea urchin sperm. The total force that can be generated (or resisted) by all the dyneins on one micron of outer doublet is also approximately 0.5 nN. The equivalence of the maximum dynein force/ micro m and t-force/ micro m at the switch point may have important consequences. Firstly, the t-force acting on the doublets near the switch point of the flagellar beat is sufficiently strong that it could terminate the action of the dyneins directly by strongly favoring the detached state and precipitating a cascade of detachment from the adjacent doublet. Secondly, after dynein release occurs, the radial spokes and central-pair apparatus are the structures that must carry the t-force. The spokes attached to the central-pair projections will bear most of the load. The central-pair projections are well-positioned for this role, and they are suitably configured to regulate the amount of axoneme distortion that occurs during switching. However, to fulfill this role without preventing flagellar bend formation, moveable attachments that behave like processive motor proteins must mediate the attachment between the spoke heads and the central-pair structure.

Animals↗

PubMed2002

Geometric Clutch model version 3: the role of the inner and outer arm dyneins in the ciliary beat.

The Geometric Clutch model of ciliary and flagellar beating uses the transverse force (t-force) that develops between the outer doublets of the axoneme as the regulator for activating and deactivating the dynein motors and organizing the flagellar beat. The version of the model described here adds detail to the formulations used in the two previous versions as follows: (1) In place of two opposing sets of dyneins, the new model has four sets of dyneins, corresponding to two sets on each side of the axoneme acting in series. (2) The four sets of dyneins are each subdivided into two ranks representing inner and outer arm dyneins. (3) The force produced by each dynein is governed by a force-velocity relationship that is independently specified for the inner and outer arms. Consistent with the original model, the new version of the Geometric Clutch model can simulate both the effective and recovery stroke phases of the ciliary beat using a single uniform algorithm. In addition, the new version can operate with the outer arms disabled. Under this condition, the simulation exhibits a beat pattern similar to the original but the beat frequency is reduced to approximately one third. These results are contingent on using force-velocity relationships for the inner and outer arms similar to those described by Brokaw [1999: Cell Motil. Cytoskeleton 42:134-148], where the inner arms contribute most of the driving force at low shear velocities. This constitutes the first examination of the effects of the force-velocity characteristics of dynein on a cilia-like beat in a theoretical framework.

Algorithms↗