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F-deformations and f-tractions.

Let M(n) be a compact, connected topological manifold and F a continuous mapping of M(n) into R that is "topologically nondegenerate" in the sense of (Morse, M. (1959) J. d'Analyse Math., 7, 189-208). Let c be a value of F and set F(c) = {pinM(n)|F(p) </= c}. The topological critical points of F on F(c) are finite in number and can be related to the invariants of the homology groups of F(c) as in the differentiable case. F-Deformations and F-tractions make this possible. F-Tractions are here defined and replace retracting deformations used in the differentiable case. The final relations will serve as a model for similar relations between critical extremals of Weierstrass integrals on Riemannian manifolds.

Journal Article↗

Work load reduction through a new roll container traction device.

PURPOSE: For the distribution of dairy products, crates and roll containers are used. A roll container that is fully stacked with crates has a mass of 600 kg. The forces required to handle these roll containers, often aggravated by rough paving and inclined tailboards, are far in excess of ergonomic standards. This explains the high level of absenteeism among lorry drivers due to musculoskeletal complaints. The aim of this study was to reduce work load. METHOD: A new traction device for roll containers was developed, which couples easily and provides for easy manoeuvring. On a test circuit with obstacles, ten professional lorry drivers (aged 29-53 years) performed a user-test, both with and without the device. During the tests heart rate, blood pressure and time for completion of the track were measured. RESULTS: Heart rates were significantly lower with the traction device, the length of time needed to complete the track showed greater uniformity, and thanks to ease of use no prior lessons were necessary. CONCLUSION: The prototype was also tested by a lorry driver that was disabled by low back pain. With this device he was able to return to work.

Adult↗

Traction force on a kinetochore at metaphase acts as a linear function of kinetochore fiber length.

We are investigating the relation between the force pulling a kinetochore poleward and the length of the corresponding kinetochore fiber. It was recognized by Ostergren in 1950 (Hereditas 36:1-19) that the metaphase position of a chromosome could be achieved by a balance of traction forces were proportional to the distance from kinetochore to pole. For the typical chromosome (i.e., a meiotic bivalent or mitotic chromosome) with a single kinetochore fiber extending to each pole, the resultant force (RF) would equal zero when the chromosome lay at the midpoint between the two poles. For special chromosomes that have unequal numbers of kinetochore fibers extending towards opposite poles. For special chromosomes that have unequal numbers of kinetochore fibers extending towards opposite poles. For special chromosomes that have unequal numbers of kinetochore fibers extending towards opposite poles, Ostergren's proposal suggests that RF = 0 when the chromosome is shifted closer to the pole toward which the greater number of kinetochore fibers are pulling. We have measured the force-length relationship in living spindles by analyzing the metaphase positions of experimentally generated multivalent chromosomes having three or four kinetochore fibers. Multivalent chromosomes of varied configurations were generated by gamma-irradiation of nymphs of the grasshopper melanoplus differentialis, and their behavior was analyzed in living first meiotic spermocytes. The lengths of kinetochore fibers were determined from time-lapse photographs by measuring the kinetochore-to-pole distances for fully congressed chromosomes just before the onset of anaphase. In our analysis, force (F) along a single kinetochore fiber is expressed by: F = kL(exp), where k is a length-independent proportionality constant, L represents the kinetochore fiber length, and exp is an unknown exponent. The RF on a chromosome is then given by: RF = sigmak(i)L(i)(exp), where kinetochore fiber lengths in opposite half- spindles are given opposite sign. If forces on a metaphase chromosome are at equilibrium (RF = 0), then for asymmetrical orientations of multivalents we can measure the individual kinetochore fiber lengths (L(i)) and solve for the exponent that yields a resultant force of zero. The value of the exponent relates how the magnitude of force along a kinetochore fiber varies with its length. For six trivalents and one naturally occurring quadrivalent we calculated an average value of exp = 1.06 +/- 0.18. This result is consistent with Ostergren's hypothesis and indicates that the magnitude of poleward traction force along a kinetochore fiber is directly proportional to the length of the fiber. Our finding suggests that the balance of forces along a kinetochore fiber may be a major factor regulating the extent of kinetochore microtubule assembly.

Animals↗

Traction forces mediated by alpha6beta4 integrin: implications for basement membrane organization and tumor invasion.

The integrin alpha6beta4, a laminin receptor that stabilizes epithelial cell adhesion to the basement membrane (BM) through its association with cytokeratins, can stimulate the formation and stabilization of actin-rich protrusions in carcinoma cells. An important, unresolved issue, however, is whether this integrin can transmit forces to the substrate generated by the acto-myosin system. Using a traction-force detection assay, we detected forces exerted through alpha6beta4 on either laminin-1 or on an anti-alpha6 antibody, demonstrating that this integrin can transmit forces without the need to engage other integrins. These alpha6beta4-dependent traction forces were organized into a compression machine localized to the base of lamellae. We hypothesized that the compression forces generated by alpha6beta4 result in the remodeling of BMs because this integrin plays a major role in the interaction of epithelial and carcinoma cells with such structures. Indeed, we observed that carcinoma cells are able to remodel a reconstituted BM through alpha6beta4-mediated compression forces by a process that involves the packing of BM material under the cells and the mechanical removal of BM from adjacent areas. The distinct signaling functions of alpha6beta4, which activate phosphoinositide 3-OH kinase and RhoA, also contribute to remodeling. Importantly, we demonstrate remodeling of a native BM by epithelial cells and the involvement of alpha6beta4 in this remodeling. Our findings have important implications for the mechanism of both BM organization and tumor invasion.

Antigens, Surface↗

A potential pathophysiologic role for alpha 2 beta 1 integrin in human eye diseases involving vitreoretinal traction.

Cell-mediated contraction of tissues containing fibrillar collagens can lead to organ compromise and loss of function. The same process that is biologically advantageous during the contraction phase of wound healing can be subverted in diseases such as hepatic cirrhosis, pulmonary fibrosis, and scleroderma, although the cellular and molecular mechanism of matrix tissue contraction is difficult to study in such chronic diseases. However, certain human eye diseases that result in tractional detachment of the retina and loss of vision are characterized by acute cell-mediated contraction of collagenous tissue in the vitreous cavity. In this study, we demonstrate that human cells can contract vitreous, a complex biological gel containing type II collagen, in vitro. This cell-mediated contraction can be blocked by antibodies and peptides that antagonize the function of alpha 2 beta 1 integrin, and the potential for contraction can be conferred upon noncontracting cells by stable transfection of cells with alpha 2 cDNA. We also show that this contractile process, if focally resisted, can result in remodeling vitreous from a gel to a structure that resembles a planar membrane, and that substantial isometric forces can be measured across this tissue. We propose that in diseases such as proliferative diabetic retinopathy and proliferative vitreoretinopathy, alpha 2 beta 1 integrin-mediated contraction of the vitreous and tension at the site of vitreoretinal attachments contribute to the terminal event of tractional retinal detachment. By extension, we propose that alpha 2 beta 1 integrin is a centrally important molecule in human diseases characterized by remodeling and contraction of collagenous tissue (i.e., fibrocontractive diseases).

Antibodies↗

Traction retinal detachment due to preretinal proliferation of surface epithelium.

A seven-year-old boy sustained severe blunt trauma with globe rupture. After repair of the globe and lensectomy and vitrectomy, a fistula was noted along with epithelial downgrowth on the posterior surface of the cornea. Extensive peripheral preretinal membrane formation resulted in traction retinal detachment. The fistula was excised and the preretinal membranes were removed. Pathologic examination of the membrane revealed it to be composed of surface epithelium. Retinal reattachment was achieved with intravitreal injection of silicone oil. This case illustrates that surface epithelium can proliferate on the inner retina and can lead to tractional retinal detachment.

Athletic Injuries↗

Technique for achievement and maintenance of reduction for severe spondylolisthesis using spinous process traction wiring and external fixation of the pelvis.

A technique is described for achievement and maintenance of reduction for severe spondylolisthesis in conjunction with reconstructive surgery. Spinous-process traction wires exert a posterior and cephalad force on the lumbar spine, while Hoffman pins anchored to the ilium rotate the sacrum in an anterior and caudad direction. Once maximum reduction is achieved, the patient is kept supine for 3 months with pins and traction wires incorporated in a plaster cast. At follow-up, two patients demonstrated excellent correction of slip angle and a solid fusion.

Adult↗

Utility of extracorporeal traction with nylon thread for easier vesicourethral anastomosis in laparoscopic prostatectomy.

PURPOSE: Vesicourethral anastomosis in laparoscopic prostatectomy is a very difficult procedure. Our purpose in this study was to evaluate a new method using extracorporeal bladder neck traction with nylon thread for vesicourethral anastomosis during laparoscopic radical prostatectomy. MATERIALS AND METHODS: A total of 10 patients underwent laparoscopic radical prostatectomy by this technique, and we evaluated anastomosis time, operative time, and postoperative status of vesicourethral anastomosis. RESULTS: It was possible to shorten both anastomosis time and operative time by this procedure, and to obtain a hermetic anastomosis without higher risk of incontinence, stricture, or leakage. CONCLUSIONS: Extracorporeal bladder neck traction with nylon thread is a very useful procedure to carry out easier vesicourethral anastomosis, especially for a surgeon's initial experience in laparoscopic radical prostatectomy.

Anastomosis, Surgical↗

Tractional retinal detachment in Usher syndrome type II.

Retinal detachment is a rare complication in patients with retinitis pigmentosa. A case is reported of tractional retinal detachment in a patient with retinitis pigmentosa and sensorineural hearing loss, which was diagnosed as Usher syndrome type II. Because of the poor visual prognosis, the patient refused surgery in that eye. Tractional retinal detachment should be added to the differential diagnoses of visual loss in patients with retinitis pigmentosa.

Audiometry↗

New design rigid and soft vacuum extractor cups: a preliminary comparison of traction forces.

Women due for vacuum extraction were randomly allocated to delivery using one of two soft cups (Silc or Silastic) or two new design rigid cups (New Bird or O'Neil). Traction forces were recorded continuously and higher values were reached with the rigid than the soft cups (median 15.8, range 7.5-19.7 vs 11.1, 7.2-15.1 kg, P less than 0.01). Selection of the most appropriate vacuum cup for each clinical situation should take into account that the flexible cups are associated with less cosmetic disfigurement but have a lower capacity for traction.

Equipment Design↗

Vacuum-assisted delivery: an analysis of traction force and maternal and neonatal outcomes.

Safety recommendations for vacuum-assisted delivery focus on limiting the number of pulls and the duration of the procedure. With the introduction of the Kiwi OmniCup vacuum extractor incorporating a Traction Force Indicator, it is now possible to reliably monitor and control the amount of traction force exerted on the fetal scalp. The OmniCup was used in a prospective observational study of 119 vacuum-assisted deliveries in nulliparous women to establish practical guidelines for safe practice in typical clinical settings.

Adult↗

A finite element solution for the anisotropic biphasic theory of tissue-equivalent mechanics: the effect of contact guidance on isometric cell traction measurement.

We present a method for solving the governing equations from our anisotropic biphasic theory of tissue-equivalent mechanics (Barocas and Tranquillo, 1997) for axisymmetric problems. A mixed finite element method is used for discretization of the spatial derivatives, and the DASPK subroutine (Brown et al., 1994) is used to solve the resulting differential-algebraic equation system. The preconditioned GMRES algorithm, using a preconditioner based on an extension of Dembo's (1994) adaptation of the Uzawa algorithm for viscous flows, provides an efficient and scaleable solution method, with the finite element method discretization being first-order accurate in space. In the cylindrical isometric cell traction assay, the chosen test problem, a cylindrical tissue equivalent is adherent at either end to fixed circular platens. As the cells exert traction on the collagen fibrils, the force required to maintain constant sample length, or load, is measured. However, radial compaction occurs during the course of the assay, so that the cell and network concentrations increase and collagen fibrils become aligned along the axis of the cylinder, leading to cell alignment along the axis. Our simulations predict that cell contact guidance leads to an increase in the load measured in the assay, but this effect is diminished by the tendency of contact guidance to inhibit radial compaction of the sample, which in turn reduces concentrations and hence the measured load.

Algorithms↗

Scattering of antiplane shear waves by a circular cylinder in a traction-free plate

Following a well-established formula used by many researchers, the scattering of an anti-plane shear wave by an infinite elastic cylinder of arbitrary relative radius centered in a traction-free two-dimensional isotropic plate has been examined. The plate is divided into three regions by introducing two imaginary planes located symmetrically away from the surface of the cylinder and perpendicular to surfaces of the plate. The wave field is expanded into cylinder wave modes in the central bounded region containing the cylinder, while the fields in the other two outer regions are expanded into plate wave modes. A system of equations determining the expansion coefficients is obtained according to the traction-free boundary conditions on the plate walls and the stress and displacement continuity conditions across the imaginary planes. By taking an appropriate finite number of terms of the infinite expansion series and a few selected points on the two properly chosen virtual planes and the surfaces of the plate through convergence and precision tests, a matrix equation to numerically evaluate the expansion coefficients is found. The method of how to choose the locations of the imaginary planes and the terms of the expansion series as well as the points on each respective boundary is given in Sec. III in detail. Curves of the reflection and transmission coefficients against the relative radius of the cylinder in welded and slip or cracked interfacial conditions are shown. Analysis on the contrast variations of the reflection and transmission coefficients for a cylinder in bonded and debonded interfacial situations is made. The relative errors estimated by the deviation of the numerical results from the principle of the conservation of energy are found to be less than 2%.

Journal Article↗

Proliferative retinal diseases: myofibroblasts cause chronic vitreoretinal traction.

Myofibroblasts are contractile cells having features intermediate between those of the fibroblast and smooth muscle. Myofibroblasts in preretinal membranes may cause retinal traction in proliferative retinal diseases. In this study, we demonstrate the presence of a chronically contractile subpopulation of myofibroblasts in pre-retinal membranes. Apha smooth muscle actin or desmin, both markers of the myogenically differentiated and chronically contractile subpopulation could be detected in a large majority of the examined membranes. Our findings may serve to explain the cellular basis of vitreoretinal traction in proliferative vitreoretinopathy and proliferative diabetic retinopathy.

Actins↗

Quantification of obstetric traction.

Measurements of factors involved in the degree of traction exerted during obstetric cases were carried out. Bovine material force was approximately 150 lbs. Maximum manual effort would be approximately four times this and mechanical traction would be at least 50 per cent higher again. A workable maternal fetal ratio was established for use in cases of fetal oversize. Possible quantification of other factors is also discussed.

Animals↗

Thoracic traction on the trachea: mechanisms and magnitude.

Both inspiratory increases and tonic thoracic traction (pull of the thorax) on the trachea [Ttx(tr)] have been shown to improve patency of the upper airway. To evaluate the origins and magnitude of Ttx(tr), we studied 15 anesthetized tracheotomized dogs. We divided the midcervical trachea and attached the thoracic stub to a strain gauge. Ttx(tr), esophageal pressure, and carinal displacement were observed during various conditions. These included unobstructed and obstructed spontaneous breathing, mechanical ventilation at various levels of positive end-expiratory pressure, and progressive hypercapnic stimulation. Observations during spontaneous breathing were performed before and after vagotomy. We found that inspiratory increases in Ttx(tr) were substantial, averaging 81 +/- 8 g force and increasing to 174 +/- 22 g force at an end-expiratory CO2 concentration of 10%. Ttx(tr) did not result simply from the pull of mediastinal and pulmonary structures transmitted through the carina. Changes in intrathoracic pressure acted independently to either draw the trachea into or push the trachea out of the thorax. Thus Ttx(tr) could be explained as the sum of mediastinal traction and force generated by changes in intrathoracic pressure.

Airway Obstruction↗

Traction of lateral cricoarytenoid muscle for unilateral vocal fold paralysis: comparison with Isshiki' s original technique of arytenoid adduction.

Between 1995 and 1997, we performed Isshiki's original method of arytenoid adduction alone or as an adjunct to type I thyroplasty for the treatment of unilateral vocal fold paralysis. From 1997 onward, we performed arytenoid adduction by traction of the lateral cricoarytenoid muscle (Iwamura's method), because it reduces discomfort to the patient and avoids rotation of the thyroid cartilage. Preliminary experiments and surgical procedures involving traction of the lateral cricoarytenoid muscle are described. Of 21 patients with a maximum phonation time of less than 9 seconds, 14 underwent type I thyroplasty as an adjunct to our method of arytenoid adduction and 7 underwent arytenoid adduction alone. Sixteen patients (76%) were able after surgery to extend their maximum phonation time beyond 10 seconds; this result compares favorably with the results of Isshiki's original adduction technique. We describe useful anatomic landmarks for approaching the lateral cricoarytenoid muscle in the hope that more voice surgeons will adopt this approach in the treatment of unilateral vocal fold paralysis.

Adolescent↗

Spontaneous resolution of vitreomacular traction associated with diabetic macular edema.

PURPOSE: Little information is available about the natural history of vitreomacular traction (VMT) associated with diabetic macular edema. A few cases of spontaneous resolution of VMT associated with diabetic macular edema have been described, but have not been documented by optical coherence tomography (OCT). The authors report the spontaneous resolution of VMT associated with diabetic macular edema 1 month after the end of panretinal photocoagulation therapy (PRP). METHODS CASE REPORT: A 66-year-old woman presented with complicated proliferative diabetic retinopathy and diabetic macular edema associated with VMT, documented by OCT, in the right eye. Left eye examination showed complete PRP and ischemic maculopathy. PRP was immediately realized in the right eye in regard to the presence of complicated proliferative diabetic retinopathy. RESULTS: One month after the end of PRP, right eye visual acuity improved. OCT examination showed complete release of foveal posterior hyaloid traction, and significant reduction in foveal thickness. The follow-up was 1 year. At the end of follow-up, visual acuity slightly improved again; only a small residual foveal retinal thickening remained. CONCLUSIONS: The authors report spontaneous resolution of VMT associated with diabetic macular edema, probably facilitated by PRP, with concurrent reduction of macular thickness and visual improvement. As spontaneous resolution may occur in some eyes with diabetic macular edema associated with VMT, a period of observation after the end of the PRP may be considered prior to vitrectomy.

Aged↗