Retrospective correction of involuntary microscopic head movement using highly accelerated fat image navigators (3D FatNavs) at 7T.

PURPOSE: The goal of the present study was to use a three-dimensional (3D) gradient echo volume in combination with a fat-selective excitation as a 3D motion navigator (3D FatNav) for retrospective correction of microscopic head motion during high-resolution 3D structural scans of extended duration. The fat excitation leads to a 3D image that is itself sparse, allowing high parallel imaging acceleration factors - with the additional advantage of a minimal disturbance of the water signal used for the host sequence. METHODS: A 3D FatNav was inserted into two structural protocols: an inversion-prepared gradient echo at 0.33 × 0.33 × 1.00 mm resolution and a turbo spin echo at 600 μm isotropic resolution. RESULTS: Motion estimation was possible with high precision, allowing retrospective motion correction to yield clear improvements in image quality, especially in the conspicuity of very small blood vessels. CONCLUSION: The highly accelerated 3D FatNav allowed motion correction with noticeable improvements in image quality, even for head motion which was small compared with the voxel dimensions of the host sequence. Magn Reson Med 75:1030-1039, 2016. © 2015 Wiley Periodicals, Inc.

A musculoskeletal shoulder model based on pseudo-inverse and null-space optimization.

The goal of the present work was assess the feasibility of using a pseudo-inverse and null-space optimization approach in the modeling of the shoulder biomechanics. The method was applied to a simplified musculoskeletal shoulder model. The mechanical system consisted in the arm, and the external forces were the arm weight, 6 scapulo-humeral muscles and the reaction at the glenohumeral joint, which was considered as a spherical joint. The muscle wrapping was considered around the humeral head assumed spherical. The dynamical equations were solved in a Lagrangian approach. The mathematical redundancy of the mechanical system was solved in two steps: a pseudo-inverse optimization to minimize the square of the muscle stress and a null-space optimization to restrict the muscle force to physiological limits. Several movements were simulated. The mathematical and numerical aspects of the constrained redundancy problem were efficiently solved by the proposed method. The prediction of muscle moment arms was consistent with cadaveric measurements and the joint reaction force was consistent with in vivo measurements. This preliminary work demonstrated that the developed algorithm has a great potential for more complex musculoskeletal modeling of the shoulder joint. In particular it could be further applied to a non-spherical joint model, allowing for the natural translation of the humeral head in the glenoid fossa.

The optimal dividend barrier in the Gamma-Omega model

In the traditional actuarial risk model, if the surplus is negative, the company is ruined and has to go out of business. In this paper we distinguish between ruin (negative surplus) and bankruptcy (going out of business), where the probability of bankruptcy is a function of the level of negative surplus. The idea for this notion of bankruptcy comes from the observation that in some industries, companies can continue doing business even though they are technically ruined. Assuming that dividends can only be paid with a certain probability at each point of time, we derive closed-form formulas for the expected discounted dividends until bankruptcy under a barrier strategy. Subsequently, the optimal barrier is determined, and several explicit identities for the optimal value are found. The surplus process of the company is modeled by a Wiener process (Brownian motion).

Creatine deficiency syndomes : a new model of partial GAMT deficiency affecting brain cell development

Les syndromes de déficiences cérébrales en créatine (CCDS) sont dus à des mutations dans les gènes GATM et G AMT (codant pour les enzymes AGAT et G AMT de la voie de synthèse de créatine) ainsi que SLC6A8 (transporteur de créatine), et génèrent une absence ou une très forte baisse de créatine (Cr) dans le cerveau, mesurée par spectroscopic de résonance magnétique. Les patients CCDS développent des handicaps neurologiques sévères. Les patients AGAT et GAMT peuvent être traités avec des doses importantes de Cr, mais gardent dans la plupart des cas des séquelles neurologiques irréversibles. Aucun traitement efficace n'existe à ce jour pour la déficience en SLC6A8. Bien que de nombreux modèles aient été développés pour comprendre la Cr cérébrale en conditions physiologiques, les pathomécanismes des CCDS ne sont pas encore compris. Des souris transgéniques pour les gènes Gatm, Gamt et Slc6a8 ont été générées, mais elles ne miment que partiellement la pathologie humaine. Parmi les CCDS, la déficience en GAMT est la plus sévère, en raison de l'accumulation cérébrale de l'intermédiaire guanidinoacétate (GAA). Alors que la toxicité cérébrale du GAA a été étudiée par exposition directe au GAA d'animaux adultes sains, les mécanismes de la toxicité du GAA en condition de déficience en GAMT dans le cerveau en développement sont encore inconnus. Le but de ce projet était donc de développer un modèle de déficience en GAMT dans des cultures 3D primaires de cellules nerveuses de rat en agrégats par knock-down du gène GAMT, en utilisant un virus adéno-associé (AAV) induisant le mécanisme d'interférence à l'ARN (RNAi). Le virus scAAV2, à la multiplicité d'infection de 1000, s'est révélé le plus efficace pour transduire tous les types de cellules nerveuses des cultures (neurones, astrocytes, oligodendrocytes), et générer un knock-down maximal de la protéine GAMT de 85% (jour in vitro 18). Cette déficience partielle en GAMT s'est révélée insuffisante pour générer une déficience en Cr, mais a causé l'accumulation attendue de GAA, à des doses comparables aux niveaux observés dans le LCR des patients GAMT. Le GAA a induit une croissance axonale anarchique accompagnée d'une baisse de l'apoptose naturelle, suivis par une induction tardive de mort cellulaire non-apoptotique. Le co-traitement par la Cr a prévenu tous les effets toxiques du GAA. Ce travail montre que l'accumulation de GAA en absence de déficience en Cr est suffisante pour affecter le développement du tissu nerveux, et suggère que des formes de déficiences en GAMT supplémentaires, ne présentant pas de déficiences en Cr, pourraient être découvertes par mesure du GAA, en particulier à travers les programmes récemment proposés de dépistage néonatal de la déficience en GAMT. -- Cerebral creatine deficiency syndromes (CCDS) are caused by mutations in the genes GATM and GAMT (respectively coding for the two enzymes of the creatine synthetic pathway, AGAT and GAMT) as well as SLC6A8 (creatine transporter), and lead to the absence or very strong decrease of creatine (Cr) in the brain when measured by magnetic resonance spectroscopy. Affected patients show severe neurological impairments. While AGAT and GAMT deficient patients can be treated with high dosages of Cr, most remain with irreversible brain sequelae. No treatment has been successful so far for SLC6A8 deficiency. While many models have helped understanding the cerebral Cr pathways in physiological conditions, the pathomechanisms underlying CCDS are yet to be elucidated. Transgenic mice carrying mutations in the Gatm, Gamt and Slc6a8 genes have been developed, but only partially mimic the human pathology. Among CCDS, GAMT deficiency is the most severe, due to the CNS accumulation of the guanidinoacetate (GAA) intermediate. While brain toxicity of GAA has been explored through direct GAA exposure of adult healthy animals, the mechanisms underlying GAA toxicity in GAMT deficiency conditions on the developing CNS are yet unknown. The aim of this project was thus to develop and characterize a GAMT deficiency model in developing brain cells by gene knockdown, by adeno-associated virus (AAV)-driven RNA interference (RNAi) in rat 3D organotypic primary brain cell cultures in aggregates. scAAV2 with a multiplicity of infection of 1000 was shown as the most efficient serotype, was able to transduce all brain cell types (neurons, astrocytes, oligodendrocytes) and to induce a maximal GAMT protein knockdown of 85% (day in vitro 18). Metabolite analysis showed that partial GAMT knockdown was insufficient to induce Cr deficiency but generated the awaited GAA accumulation at concentrations comparable to the levels observed in cerebrospinal fluid of GAMT-deficient patients. Accumulated GAA induced axonal hypersprouting paralleled with inhibition of natural apoptosis, followed by a later induction in non-apoptotic cell death. Cr supplementation led to the prevention of all GAA-induced toxic effects. This work shows that GAA accumulation without Cr deficiency is sufficient to affect CNS development, and suggests that additional partial GAMT deficiencies, which may not show the classical brain Cr deficiency, may be discovered through GAA measurement including by recently proposed neonatal screening programs for GAMT deficiency.