On the motion of particles in covariant Horava-Lifshitz gravity and the meaning of the A-field

We studied the low energy motion of particles in the general covariant. version of Horava-Lifshitz gravity proposed by Horava and Melby-Thompson. Using a scalar field coupled to gravity according to the minimal substitution recipe proposed by da Silva and taking the geometrical optics limit, we could write an effective relativistic metric for a general solution. As a result, we discovered that the equivalence principle is not in general recovered at low energies, unless the spatial Laplacian of A vanishes. Finally, we analyzed the motion on the spherical symmetric solution proposed by Horava and Melby-Thompson, where we could find its effective line element and compute spin-0 geodesics. Using standard methods we have shown that such an effective metric cannot reproduce Newton's gravity law even in the weak gravitational field approximation. (C) 2011 Elsevier B.V All rights reserved.

Combining 3D tracking and surgical instrumentation to determine the stiffness of spinal motion segments: a validation study

The spine is a complex structure that provides motion in three directions: flexion and extension, lateral bending and axial rotation. So far, the investigation of the mechanical and kinematic behavior of the basic unit of the spine, a motion segment, is predominantly a domain of in vitro experiments on spinal loading simulators. Most existing approaches to measure spinal stiffness intraoperatively in an in vivo environment use a distractor. However, these concepts usually assume a planar loading and motion. The objective of our study was to develop and validate an apparatus, that allows to perform intraoperative in vivo measurements to determine both the applied force and the resulting motion in three dimensional space. The proposed setup combines force measurement with an instrumented distractor and motion tracking with an optoelectronic system. As the orientation of the applied force and the three dimensional motion is known, not only force-displacement, but also moment-angle relations could be determined. The validation was performed using three cadaveric lumbar ovine spines. The lateral bending stiffness of two motion segments per specimen was determined with the proposed concept and compared with the stiffness acquired on a spinal loading simulator which was considered to be gold standard. The mean values of the stiffness computed with the proposed concept were within a range of ±15% compared to data obtained with the spinal loading simulator under applied loads of less than 5 Nm.

Effects of anatomic conformation on three-dimensional motion of the caudal lumbar and lumbosacral portions of the vertebral column of dogs

OBJECTIVE: To determine the association between the 3-dimensional (3-D) motion pattern of the caudal lumbar and lumbosacral portions of the canine vertebral column and the morphology of vertebrae, facet joints, and intervertebral disks. SAMPLE POPULATION: Vertebral columns of 9 German Shepherd Dogs and 16 dogs of other breeds with similar body weights and body conditions. PROCEDURE: Different morphometric parameters of the vertebral column were assessed by computed tomography (CT) and magnetic resonance imaging. Anatomic conformation and the 3-D motion pattern were compared, and correlation coefficients were calculated. RESULTS: Total range of motion for flexion and extension was mainly associated with the facet joint angle, the facet joint angle difference between levels of the vertebral column in the transverse plane on CT images, disk height, and lever arm length. CONCLUSIONS AND CLINICAL RELEVANCE: Motion is a complex process that is influenced by the entire 3-D conformation of the lumbar portion of the vertebral column. In vivo dynamic measurements of the 3-D motion pattern of the lumbar and lumbosacral portions of the vertebral column will be necessary to further assess biomechanics that could lead to disk degeneration in dogs.

The von Mises-Fisher distribution of the first exit point from the hypersphere of the drifted Brownian motion and the density of the first exit time

A characterization is provided for the von Mises–Fisher random variable, in terms of first exit point from the unit hypersphere of the drifted Wiener process. Laplace transform formulae for the first exit time from the unit hypersphere of the drifted Wiener process are provided. Post representations in terms of Bell polynomials are provided for the densities of the first exit times from the circle and from the sphere.

Systematic analysis of the intravoxel incoherent motion threshold separating perfusion and diffusion effects: Proposal of a standardized algorithm

PURPOSE To systematically evaluate the dependence of intravoxel-incoherent-motion (IVIM) parameters on the b-value threshold separating the perfusion and diffusion compartment, and to implement and test an algorithm for the standardized computation of this threshold. METHODS Diffusion weighted images of the upper abdomen were acquired at 3 Tesla in eleven healthy male volunteers with 10 different b-values and in two healthy male volunteers with 16 different b-values. Region-of-interest IVIM analysis was applied to the abdominal organs and skeletal muscle with a systematic increase of the b-value threshold for computing pseudodiffusion D*, perfusion fraction Fp , diffusion coefficient D, and the sum of squared residuals to the bi-exponential IVIM-fit. RESULTS IVIM parameters strongly depended on the choice of the b-value threshold. The proposed algorithm successfully provided optimal b-value thresholds with the smallest residuals for all evaluated organs [s/mm2]: e.g., right liver lobe 20, spleen 20, right renal cortex 150, skeletal muscle 150. Mean D* [10(-3) mm(2) /s], Fp [%], and D [10(-3) mm(2) /s] values (±standard deviation) were: right liver lobe, 88.7 ± 42.5, 22.6 ± 7.4, 0.73 ± 0.12; right renal cortex: 11.5 ± 1.8, 18.3 ± 2.9, 1.68 ± 0.05; spleen: 41.9 ± 57.9, 8.2 ± 3.4, 0.69 ± 0.07; skeletal muscle: 21.7 ± 19.0; 7.4 ± 3.0; 1.36 ± 0.04. CONCLUSION IVIM parameters strongly depend upon the choice of the b-value threshold used for computation. The proposed algorithm may be used as a robust approach for IVIM analysis without organ-specific adaptation. Magn Reson Med, 2014. © 2014 Wiley Periodicals, Inc.

The Three Body Problem and the Runge-Lenz Equivalent Constant of the Motion

The Runge-Lenz equivalent for the Hydrogen Molecular Cation (and the Earth, Moon and Sun) problem is obtained

Na 1 Nachlass Max Horkheimer, 687 - "Experimental Movie Project", "The Police and Minority Groups" u.a. (p. IX 150.1-17 - IX 152.1-2)

"Experimental Movie Project" (1945-46):; 1. "Below the Surface", Drehbuch des Testfilms, a) als Typoskript vervielfältigt, 46 Blatt, b) als Typoskript vervielfältigt, 26 Blatt, c) als Typoskript vervielfältigt, 26 Blatt, d) als Typoskript vervielfältigt, 26 Blatt "Experimental Movie Project" (1945-46): Memoranden zum Test; 2. 'Notes' 25.4.1946, Typoskript, 1 Blatt; 3. "Memorandum on Experimental Movie Project", 19.4.1946. Typoskript, 3 Blatt; 4. "Memorandum re: 'Below the Surface" (Juli 1945). Typoskript, 2 Blatt; 5. Dore Schary und Allen Rivkin: 'Memorandum, Subject: New Suggested Treatment for 'Below the Surface'", 13.7.1945. Typoskript, 2 Blatt; 6. Hans Richter: "Report about the film script 'Below the surface'", 7. u. 8.7.1945, a) Typoskript, 1 Blatt, b) Typoskript, 1 Blatt; 7. Hans Richter: Bestätigung der Vereinbarung mit dem American Jewish Committee, 3.7.1945. Typoskript, 1 Blatt; 8. "Notes and Suggestions re Experimental Motion Picture", Juni 1945. Typoskript, 2 Blatt; 9. Siegfried Kracauer; "Suggestions for the Dialogue" (4.4.1945). Typoskript, 3 Blatt; 10. "Motion Picture", März 1945. Typoskript, 5 Blatt; 11. "Project on a Test film", a) Typoskript, 4 Blatt, b) Typoskript, 5 Blatt; 12. "Memorandum re: 'Below the Surface'", a) Typoskript, 3 Blatt, b) Typoskript mit eigenhändigen Korrekturen von Theodor W. Adorno, 3 Blatt; "Experimental Movie Project" (1945-46): Korrespondenz zum Test-Film-Projekt:; 13. Friedrich Pollock: 1 Brief an Max Horkheimer, Santa Monica, California, 12.10.1945; 14. Theodor W. Adorno: 2 Briefe an Max Horkheimer, Los Angeles und Santa Monica, California, 1945; 15. Joseph M. Proskauer: 1 Brief von Max Horkheimer, o.O., 29.6.1945, 1 Brief mit Unterschrift an Max Horkheimer, o.O., o.D., 3 Blatt; 16. Alexander Hackenschmied, 1 Brief mit Unterschrift an Max Horkheimer, New York, 19.6.1945, 1 Blatt; 17. Gilbert Gabriel: 1 Brief von John Slawson, o.O., 22.3.1945, 2 Blatt; "The Police and Minority Groups" (1946):; 1. "The Police and Minority Groups". Typoskript, 2 Blatt; 2. Robert W. Kenny: "Police and Minority Groups - an Experiment". Als Typoskript vervielfältigt, 17 Blatt; 3. Davis McEntire, Robert B. Powers: "Police Training Bulletin. A Guide to Race Relations for Police Officers", State of California, 1946, 38 Seiten; Max Horkheimer: "Memorandum on a Study of Race Hatred in Post-War Germany" (1946):; 1. Memorandum, a) Typoskript, 8 Blatt, b) Typoskript mit eigenhändigen und handschriftlichen Korrekturen, 6 Blatt, c) Typoskript, 5 Blatt, d) Teilstück, Typoskript mit eigenhändigen Korrekturen, 1 Blatt e) Typoskript mit eigenhändigen Korrekturen, 5 Blatt, f) Teilstück, Typoskript mit handschriftlichen Korrekturen, 2 Blatt, g) Typoskript mit eigenhändigen Korrekturen, 7 Blatt, h) Teilstück, Typoskript mit eigenhändigen Korrekturen und Ergänzungen, 1 Blatt, i) Typoskript, 2 Blatt; 2. Theodor W. Adorno: "Ad Memorandum Neumann", Manuskript, 3 Blatt;

Use of echocardiography reveals reestablishment of ventricular pumping efficiency and partial ventricular wall motion recovery upon ventricular cryoinjury in the zebrafish

AIMS While zebrafish embryos are amenable to in vivo imaging, allowing the study of morphogenetic processes during development, intravital imaging of adults is hampered by their small size and loss of transparency. The use of adult zebrafish as a vertebrate model of cardiac disease and regeneration is increasing at high speed. It is therefore of great importance to establish appropriate and robust methods to measure cardiac function parameters. METHODS AND RESULTS Here we describe the use of 2D-echocardiography to study the fractional volume shortening and segmental wall motion of the ventricle. Our data show that 2D-echocardiography can be used to evaluate cardiac injury and also to study recovery of cardiac function. Interestingly, our results show that while global systolic function recovered following cardiac cryoinjury, ventricular wall motion was only partially restored. CONCLUSION Cryoinjury leads to long-lasting impairment of cardiac contraction, partially mimicking the consequences of myocardial infarction in humans. Functional assessment of heart regeneration by echocardiography allows a deeper understanding of the mechanisms of cardiac regeneration and has the advantage of being easily transferable to other cardiovascular zebrafish disease models.

Study and analysis of the Leap Motion sensor and the Software Development Kit (SDK) for the implementation of visual Human Computer Interfaces

En este proyecto, se presenta un informe técnico sobre la cámara Leap Motion y el Software Development Kit correspondiente, el cual es un dispositivo con una cámara de profundidad orientada a interfaces hombre-máquina. Esto es realizado con el propósito de desarrollar una interfaz hombre-máquina basada en un sistema de reconocimiento de gestos de manos. Después de un exhaustivo estudio de la cámara Leap Motion, se han realizado diversos programas de ejemplo con la intención de verificar las capacidades descritas en el informe técnico, poniendo a prueba la Application Programming Interface y evaluando la precisión de las diferentes medidas obtenidas sobre los datos de la cámara. Finalmente, se desarrolla un prototipo de un sistema de reconocimiento de gestos. Los datos sobre la posición y orientación de la punta de los dedos obtenidos de la Leap Motion son usados para describir un gesto mediante un vector descriptor, el cual es enviado a una Máquina Vectores Soporte, utilizada como clasificador multi-clase.