Musical combinatorics, tonnetz, and the CubeHarmonic

In this paper, we give an overview of some applications of combinatorics and permutations in music through the centuries. The concepts of permutation and tonnetz (spatial representation of voice leading and modulation) can be joined together in a physical device, the CubeHarmonic, a musical version of the Rubik’s cube. We finally describe a prototype of the CubeHarmonic that uses the magnetic tracking technology developed at the Tohoku University

Cubeharmonic: A New Interface From A Magnetic 3D Motion Tracking System To Music Performance

We developed a new musical interface, CubeHarmonic, with the magnetic 3D motion tracking system IM3D. This system precisely tracks positions of tiny, wireless, battery-less, and identifiable markers (LC coils) in real time. The CubeHarmonic is a musical application of the Rubik’s cube, with notes on each little piece. Scrambling the cube, we get different chords and chord sequences. Positions of the pieces which contain LC coils are detected through IM3D, and transmitted to the computer to recognize the status of the Rubik’s cube, that plays sounds. The central position of the cube is also measured by the LC coils located into the corners of Rubik’s cube, and, depending on the position, we can manipulate overall loudness and pitch changes, as in theremin playing. This new instrument, whose first idea comes from mathematical theory of music, can be used as a teaching tool both for math (group theory) and music (music theory, mathematical music theory), as well as a composition device, a new instrument for avant-garde performances, and a recreational tool

Musical combinatorics, tonnetz, and the CubeHarmonic

In this paper, we give an overview of some applications of combinatorics and permutations in music through the centuries. The concepts of permutation and tonnetz (spatial representation of voice leading and modulation) can be joined together in a physical device, the CubeHarmonic, a musical version of the Rubik's cube. We finally describe a prototype of the CubeHarmonic that uses the magnetic tracking technology developed at the Tohoku University

Multidisciplinary treatment system for bone metastases for early diagnosis, treatment and prevention of malignant spinal cord compression

Malignant spinal cord compression (MSCC) is a serious complication of cancers. The present study aimed to establish a multidisciplinary treatment system for urgent magnetic resonance imaging (MRI) and referral to orthopedists in order to prevent neurological deficits caused by MSCC. In the present study, the extent to which this system achieved early diagnosis and treatment and prevented MSCC‑caused neurological deficits was examined. The records from patients with neurological deficits caused by MSCC before (between April 2007 and March 2012; group A) and after (between April 2012 and March 2017; group B) the establishment of the multidisciplinary system at the Shikoku Cancer Center (Ehime, Japan) were retrospectively evaluated. The numbers of patients with neurological deficits were 38 and 7 in groups A and B, respectively. All patients received radiotherapy. The incidence of neurological deficits was 13.2 and 3.4% in groups A and B, respectively (P<0.001). The proportion of patients with improvement in the severity of neurological deficits was 5.3 and 28.6% in groups A and B, respectively (P<0.001). The interval between physicians' recognition of a neurological deficit and MRI and the start of treatment, the number of cases, and the severity of neurological deficits were evaluated in groups A and B. The median interval between recognition of a neurological deficit by physicians and MRI was 3 and 0 days in groups A and B, respectively (P<0.001). The median interval between physicians' recognition of a neurological deficit and the start of treatment was 3 and 0 days in groups A and B, respectively (P<0.001). By using a multidisciplinary treatment system, the incidence and severity of neurological deficits following treatment were significantly improved. Therefore, the multidisciplinary treatment system used in the present study may be useful for early diagnosis, treatment and prevention of MSCC in patients with bone metastases

Hyaluronan in the cerebrospinal fluid of patients with spinal tumor

金沢大学大学院医学系研究科機能再生学The clinical significance of hyaluronan (HA) levels in the cerebrospinal fluid (CSF) of patients with spinal tumor (ST) was evaluated in order to clarify whether HA concentrations in the CSF of patients with ST differ according to such factors as the tumor site and histopathological diagnosis. CSF samples were obtained from 40 patients with ST who had undergone myelography and CSF examinations retrospectively. The HA levels were determined using a sandwich-binding protein assay. The total protein (TP) levels were also determined. The HA and TP concentrations in CSF were significantly higher in patients with extramedullary tumor than in patients with intramedullary tumor. There was a significant correlation between HA and TP concentrations in CSF patients with ST. A HA assay for CSF is therefore considered to be potentially useful for estimating the localization of ST. © 2006 World Scientific Publishing Company

Enhanced diagnostic accuracy for quantitative bone scan using an artificial neural network system: A Japanese multi-center database project

Background Artificial neural network (ANN)-based bone scan index (BSI), a marker of the amount of bone metastasis, has been shown to enhance diagnostic accuracy and reproducibility but is potentially affected by training databases. The aims of this study were to revise the software using a large number of Japanese databases and to validate its diagnostic accuracy compared with the original Swedish training database. Methods The BSI was calculated with EXINIbone (EB; EXINI Diagnostics) using the Swedish training database (n = 789). The software using Japanese training databases from a single institution (BONENAVI version 1, BN1, n = 904) and the revised version from nine institutions (version 2, BN2, n = 1,532) were compared. The diagnostic accuracy was validated with another 503 multi-center bone scans including patients with prostate (n = 207), breast (n = 166), and other cancer types. The ANN value (probability of abnormality) and BSI were calculated. Receiver operating characteristic (ROC) and net reclassification improvement (NRI) analyses were performed. Results The ROC analysis based on the ANN value showed significant improvement from EB to BN1 and BN2. In men (n = 296), the area under the curve (AUC) was 0.877 for EB, 0.912 for BN1 (p = not significant (ns) vs. EB) and 0.934 for BN2 (p = 0.007 vs. EB). In women (n = 207), the AUC was 0.831 for EB, 0.910 for BN1 (p = 0.016 vs. EB), and 0.932 for BN2 (p < 0.0001 vs. EB). The optimum sensitivity and specificity based on BN2 was 90% and 84% for men and 93% and 85% for women. In patients with prostate cancer, the AUC was equally high with EB, BN1, and BN2 (0.939, 0.949, and 0.957, p = ns). In patients with breast cancer, the AUC was improved from EB (0.847) to BN1 (0.910, p = ns) and BN2 (0.924, p = 0.039). The NRI using ANN between EB and BN1 was 17.7% (p = 0.0042), and that between EB and BN2 was 29.6% (p < 0.0001). With respect to BSI, the NRI analysis showed downward reclassification with total NRI of 31.9% (p < 0.0001). Conclusion In the software for calculating BSI, the multi-institutional database significantly improved identification of bone metastasis compared with the original database, indicating the importance of a sufficient number of training databases including various types of cancers. © 2013 Nakajima et al

Disorganized Innervation and Neuronal Loss in the Inner Ear of Slitrk6-Deficient Mice

Slitrks are type I transmembrane proteins that share conserved leucine-rich repeat domains similar to those in the secreted axonal guidance molecule Slit. They also show similarities to Ntrk neurotrophin receptors in their carboxy-termini, sharing a conserved tyrosine residue. Among 6 Slitrk family genes in mammals, Slitrk6 has a unique expression pattern, with strong expression in the sensory epithelia of the inner ear. We generated Slitrk6-knockout mice and investigated the development of their auditory and vestibular sensory organs. Slitrk6-deficient mice showed pronounced reduction in the cochlear innervation. In the vestibule, the innervation to the posterior crista was often lost, reduced, or sometimes misguided. These defects were accompanied by the loss of neurons in the spiral and vestibular ganglia. Cochlear sensory epithelia from Slitrk6-knockout mice have reduced ability in promoting neurite outgrowth of spiral ganglion neurons. Indeed the Slitrk6-deficient inner ear showed a mild but significant decrease in the expression of Bdnf and Ntf3, both of which are essential for the innervation and survival of sensory neurons. In addition, the expression of Ntrk receptors, including their phosphorylated forms was decreased in Slitrk6-knockout cochlea. These results suggest that Slitrk6 promotes innervation and survival of inner ear sensory neurons by regulating the expression of trophic and/or tropic factors including neurotrophins from sensory epithelia