Winding patterns for biplanar MRI shim coils with rectangular and circular target-field regions

A method is presented for calculating the winding patterns required to design independent zonal and tesseral biplanar shim coils for magnetic resonance imaging. Streamline, target-field, Fourier integral and Fourier series methods are utilized. For both Fourier-based methods, the desired target field is specified on the surface of the conducting plates. For the Fourier series method it is possible to specify the target field at additional depths interior to the two conducting plates. The conducting plates are confined symmetrically in the xy plane with dimensions 2a x 2b, and are separated by 2d in the z direction. The specification of the target field is symmetric for the Fourier integral method, but can be over some asymmetric portion pa < x < qa and sb < y < tb of the coil dimensions (-1 < p < q < 1 and -1 < s < t < 1) for the Fourier series method. Arbitrary functions are used in the outer sections to ensure continuity of the magnetic field across the entire coil face. For the Fourier series case, the entire field is periodically extended as double half-range sine or cosine series. The resultant Fourier coefficients are substituted into the Fourier series and integral expressions for the internal and external magnetic fields, and stream functions on both the conducting surfaces. A contour plot of the stream function directly gives the required coil winding patterns. Spherical harmonic analysis of field calculations from a ZX shim coil indicates that example designs and theory are well matched.

Novel target-field method for designing shielded biplanar shim and gradient coils

A new method is presented here for the systematic design of biplanar shielded shim and gradient coils, for use in magnetic resonance imaging (MRI) and other applications. The desired target field interior to the coil is specified in advance, and a winding pattern is then designed to produce a field that matches the target as closely as possible. Both gradient and shim coils can be designed by this approach, and the target region can be located asymmetrically within the coil. The interior target field may be matched at two or more interior locations, to improve accuracy. When shields are present, the winding patterns are designed so that the fields exterior to the biplanar coil are made as small as possible. The method is illustrated here by the design of some transverse gradient and shim coils.

A target-field method to design circular biplanar coils for asymmetric shim and gradient fields

The paper presents a method for designing circular, shielded biplanar coils that can generate any desired field. A particular feature of these coils is that the target field may be located asymmetrically within the coil. A transverse component of the magnetic field produced by the coil is made to match a prescribed target field over the surfaces of two concentric spheres (the diameter of spherical volume) that define the target field location. The paper shows winding patterns and fields for several gradient and shim coils. It examines the effect that the finite coil size has on the winding patterns, using a Fourier-transform calculation for comparison.

A time-harmonic target-field method for designing unshielded RF coils in MRI

Time-harmonic methods are required in the accurate design of RF coils as operating frequency increases. This paper presents such a method to find a current density solution on the coil that will induce some desired magnetic field upon an asymmetrically located target region within. This inverse method appropriately considers the geometry of the coil via a Fourier series expansion, and incorporates some new regularization penalty functions in the solution process. A new technique is introduced by which the complex, time-dependent current density solution is approximated by a static coil winding pattern. Several winding pattern solutions are given, with more complex winding patterns corresponding to more desirable induced magnetic fields.

神光Ⅱ升级装置终端光学组件的排布设计

设计高功率激光装置靶场终端光学组件(FOA)时考虑的重要因素是鬼像对光学元件的破坏。由于神光Ⅱ升级装置(SG-Ⅱ-U)的输出能量高、靶场空间小、鬼像分布情况复杂,导致了终端光学组件的设计难度很高。用自主研发的鬼像控制设计软件对神光Ⅱ升级装置靶场终端光学组件排布进行设计,给出了进行鬼像控制设计时需考虑的设计因素,并对比研究了两种靶场终端光学组件设计方案的优缺点,最后结合神光Ⅱ升级装置的特点,优化设计出神光Ⅱ升级装置靶场终端光学组件的最终排布方案。

A Distributed Outstar Network for Spatial Pattern Learning

The distributed outstar, a generalization of the outstar neural network for spatial pattern learning, is introduced. In the outstar, signals from a source node cause weights to learn and recall arbitrary patterns across a target field of nodes. The distributed outstar replaces the outstar source node with a source field of arbitrarily many nodes, whose activity pattern may be arbitrarily distributed or compressed. Learning proceeds according to a principle of atrophy due to disuse, whereby a path weight decreases in joint proportion to the transmitted path signal and the degree of disuse of the target node. During learning, the total signal to a target node converges toward that node's activity level. Weight changes at a node are apportioned according to the distributed pattern of converging signals. Three synaptic transmission functions, by a product rule, a capacity rule, and a threshold rule, are examined for this system. The three rules are computationally equivalent when source field activity is maximally compressed, or winner-take-all. When source field activity is distributed, catastrophic forgetting may occur. Only the threshold rule solves this problem. Analysis of spatial pattern learning by distributed codes thereby leads to the conjecture that the unit of long-term memory in such a system is an adaptive threshold, rather than the multiplicative path weight widely used in neural models.

Spatial Pattern Learning, Catastophic Forgetting and Optimal Rules of Synaptic Transmission

It is a neural network truth universally acknowledged, that the signal transmitted to a target node must be equal to the product of the path signal times a weight. Analysis of catastrophic forgetting by distributed codes leads to the unexpected conclusion that this universal synaptic transmission rule may not be optimal in certain neural networks. The distributed outstar, a network designed to support stable codes with fast or slow learning, generalizes the outstar network for spatial pattern learning. In the outstar, signals from a source node cause weights to learn and recall arbitrary patterns across a target field of nodes. The distributed outstar replaces the outstar source node with a source field, of arbitrarily many nodes, where the activity pattern may be arbitrarily distributed or compressed. Learning proceeds according to a principle of atrophy due to disuse whereby a path weight decreases in joint proportion to the transmittcd path signal and the degree of disuse of the target node. During learning, the total signal to a target node converges toward that node's activity level. Weight changes at a node are apportioned according to the distributed pattern of converging signals three types of synaptic transmission, a product rule, a capacity rule, and a threshold rule, are examined for this system. The three rules are computationally equivalent when source field activity is maximally compressed, or winner-take-all when source field activity is distributed, catastrophic forgetting may occur. Only the threshold rule solves this problem. Analysis of spatial pattern learning by distributed codes thereby leads to the conjecture that the optimal unit of long-term memory in such a system is a subtractive threshold, rather than a multiplicative weight.

Using fractal downscaling of satellite precipitation products for hydrometeorological applications

The objective of spatial downscaling strategies is to increase the information content of coarse datasets at smaller scales. In the case of quantitative precipitation estimation (QPE) for hydrological applications, the goal is to close the scale gap between the spatial resolution of coarse datasets (e.g., gridded satellite precipitation products at resolution L × L) and the high resolution (l × l; L»l) necessary to capture the spatial features that determine spatial variability of water flows and water stores in the landscape. In essence, the downscaling process consists of weaving subgrid-scale heterogeneity over a desired range of wavelengths in the original field. The defining question is, which properties, statistical and otherwise, of the target field (the known observable at the desired spatial resolution) should be matched, with the caveat that downscaling methods be as a general as possible and therefore ideally without case-specific constraints and/or calibration requirements? Here, the attention is focused on two simple fractal downscaling methods using iterated functions systems (IFS) and fractal Brownian surfaces (FBS) that meet this requirement. The two methods were applied to disaggregate spatially 27 summertime convective storms in the central United States during 2007 at three consecutive times (1800, 2100, and 0000 UTC, thus 81 fields overall) from the Tropical Rainfall Measuring Mission (TRMM) version 6 (V6) 3B42 precipitation product (~25-km grid spacing) to the same resolution as the NCEP stage IV products (~4-km grid spacing). Results from bilinear interpolation are used as the control. A fundamental distinction between IFS and FBS is that the latter implies a distribution of downscaled fields and thus an ensemble solution, whereas the former provides a single solution. The downscaling effectiveness is assessed using fractal measures (the spectral exponent β, fractal dimension D, Hurst coefficient H, and roughness amplitude R) and traditional operational scores statistics scores [false alarm rate (FR), probability of detection (PD), threat score (TS), and Heidke skill score (HSS)], as well as bias and the root-mean-square error (RMSE). The results show that both IFS and FBS fractal interpolation perform well with regard to operational skill scores, and they meet the additional requirement of generating structurally consistent fields. Furthermore, confidence intervals can be directly generated from the FBS ensemble. The results were used to diagnose errors relevant for hydrometeorological applications, in particular a spatial displacement with characteristic length of at least 50 km (2500 km2) in the location of peak rainfall intensities for the cases studied. © 2010 American Meteorological Society.

Severed corticospinal axons recover electrophysiologic control of muscle activity after x-ray therapy in lesioned adult spinal cord.

Mechanical injury to the adult mammalian spinal cord results in permanent loss of structural integrity at the lesion site and of the brain-controlled function distal to the lesion. Some of these consequences were permanently averted by altering the cellular constituents at the lesion site with x-irradiation delivered within a critical time window after injury. We have reported in a separate article that x-irradiation of sectioned adult rat spinal cord resulted in restitution of structural continuity and regrowth of severed corticospinal axons across and deep into the distal stump. Here, we report that after x-ray therapy of the lesion site severed corticospinal axons of transected adult rat spinal cord recover electrophysiologic control of activity of hindlimb muscles innervated by motoneurons distal to the lesion. The degree of recovery of control of muscle activity was directly related to the degree of restitution of structural integrity. This restitution of electrophysiologic function implies that the regenerating corticospinal axons reestablish connectivity with neurons within the target field in the distal stump. Our data suggest that recovery of structural continuity is a sufficient condition for the axotomized corticospinal neurons to regain some of their disrupted function in cord regions distal to the lesion site.

The design of planar gradient coils. Part ll: A weighted superposition method

In this work a superposition technique for designing gradient coils for the purpose of magnetic resonance imaging is outlined, which uses an optimized weight function superimposed upon an initial winding similar to that obtained from the target field method to generate the final wire winding. This work builds on the preliminary work performed in Part I on designing planar insertable gradient coils for high resolution imaging. The proposed superposition method for designing gradient coils results in coil patterns with relatively low inductances and the gradient coils can be used as inserts into existing magnetic resonance imaging hardware. The new scheme has the capacity to obtain images faster with more detail due to the deliver of greater magnetic held gradients. The proposed method for designing gradient coils is compared with a variant of the state-of-the-art target field method for planar gradient coils designs, and it is shown that the weighted superposition approach outperforms the well-known the classical method.

A wave equation technique for designing compact gradient coils

A primary purpose of this research is to design a gradient coil that is planar in construction and can be inserted within existing infrastructure. The proposed wave equation method for the design of gradient coils is novel within the field. it is comprehensively shown how this method can be used to design the planar x-, y-, and z-gradient wire windings to produce the required magnetic fields within a certain domain. The solution for the cylindrical gradient coil set is also elucidated. The wave equation technique is compared with the well-known target held method to gauge the quality of resultant design. In the case of the planar gradient coil design, it is shown that using the new method, a set of compact gradient coils with large field of view can be produced. The final design is considerably smaller in dimension when compared with the design obtained using the target field method, and therefore the manufacturing costs and materials required are somewhat reduced.

An inverse method for designing loaded RF coils in MRI

Radio-frequency ( RF) coils are designed such that they induce homogeneous magnetic fields within some region of interest within a magnetic resonance imaging ( MRI) scanner. Loading the scanner with a patient disrupts the homogeneity of these fields and can lead to a considerable degradation of the quality of the acquired image. In this paper, an inverse method is presented for designing RF coils, in which the presence of a load ( patient) within the MRI scanner is accounted for in the model. To approximate the finite length of the coil, a Fourier series expansion is considered for the coil current density and for the induced fields. Regularization is used to solve this ill-conditioned inverse problem for the unknown Fourier coefficients. That is, the error between the induced and homogeneous target fields is minimized along with an additional constraint, chosen in this paper to represent the curvature of the coil windings. Smooth winding patterns are obtained for both unloaded and loaded coils. RF fields with a high level of homogeneity are obtained in the unloaded case and a limit to the level of homogeneity attainable is observed in the loaded case.

AFT3 as a new therapeutic target for skin field cancerization in antagonism with compromised Notch/CSL signaling

Les interactions épithélio-mésenchymateuses jouent un rôle important dans le contrôle du développement normal de la peau, son homéostasie et sa tumorigenèse. Les fibroblastes dermiques (DFs) représentent la catégorie cellulaire la plus abondante dans le stroma et leur rôle est de plus en plus considéré. En ce qui concerne particulièrement la tumorigenèse, des facteurs diffusibles produits par les fibroblastes entourant les tumeurs épithéliales, appelés 'fibroblastes associés au cancer (CAF)', interagissent au niveau de l'inflammation impliquée directement ou indirectement dans la signalisation paracrine, entre le stroma et les cellules épiéliales cancéreuses. Le risque de cancer de la peau augmente de façon exponentielle avec l'âge. Comme un lien probable entre les deux, la sénescence des fibroblastes résulte de la production du sécrétome favorisant la sénescence (SMS), un groupe de facteurs diffusibles induisant une stimulation paracrine de la croissance, l'inflammation et le remodelage de la matrice. De façon fort intéressante, l'induction de ces gènes est aussi une caractéristique des CAFs. Cependant, le lien entre les deux événements cellulaires sénescence et activation des CAFs reste en grande partie inexploré. L'ATF3 (Activating Transcription Factor 3) est un facteur de transcription induit en réponse au stress, dont les fonctions sont hautement spécifiques du type cellulaire. Bien qu'il ait été découvert dans notre laboratoire en tant que promoteur de tumeurs dans les kératinocytes, ses fonctions biologique et biochimique dans le derme n'ont pas encore été étudiées. Récemment, nous avons constaté que, chez la souris, l'abrogation de la voie de signalisation de Notch/CSL dans les DFs, induisait la formation de tumeurs kératinocytaires multifocales. Ces dernières proviennent de la cancérisation en domaine, un phénomène associé à une atrophie du stroma, des altérations de la matrice et de l'inflammation. D'autres études ont montré que CSL agissait comme un régulateur négatif de gènes impliqués dans sénescence des DFs et dans l'activation des CAFs. Ici, nous montrons que la suppression ou l'atténuation de l'expression de ATF3 dans les DFs induit la sénescence et l'expression des gènes liés aux CAFs, de façon similaire à celle déclenchée par la perte de CSL, tandis que la surexpression de ATF3 supprime ces changements. Nous émettons l'hypothèse que ATF3 joue un rôle suppresseur dans l'activation des CAFs et dans la progression des tumeurs kératinocytaires, en surmontant les conséquences de l'abrogation de la voie de signalisation Notch/CSL. En concordance avec cette hypothèse, nous avons constaté que la perte de ATF3 dans les DFs favorisait la tumorigénicité des kératinocytes via le contrôle négatif de cytokines, des enzymes de la matrice de remodelage et de protéines associées au cancer, peut-être par liaison directe des effecteurs de la voie Notch/CSL : IL6 et les gènes Hes. Enfin, dans les échantillons cliniques humains, le stroma sous-jacent aux lésions précancéreuses de kératoses actiniques montre une diminution significative de l'expression de ATF3 par rapport au stroma jouxtant la peau normale. La restauration de l'expression de ATF3 pourrait être utilisée comme un outil thérapeutique en recherche translationnelle pour prévenir ou réprimer le processus de cancérisation en domaine. - Epithelial-mesenchymal interactions play an important role in control of normal skin development, homeostasis and tumorigenesis. The role of dermal fibroblasts (DFs) as the most abundant cell type in stroma is increasingly appreciated. Especially during tumorigenesis, fibroblasts surrounding epithelial tumors, called Cancer Associated Fibroblasts (CAFs), produce diffusible factors (growth factors, inflammatory cytokines, chemokines and enzymes, and matrix metalloproteinases) that mediate inflammation either directly or indirectly through paracrine signaling between stroma and epithelial cancer cells. The risk of skin cancer increases exponentially with age. As a likely link between the two, senescence of fibroblasts results in production of the senescence-messaging-secretome (SMS), a panel of diffusible factors inducing paracrine growth stimulation, inflammation, and matrix remodeling. Interestingly, induction of these genes is also a characteristic of Cancer Associated Fibroblasts (CAFs). However, the link between the two cellular events, senescence and CAF activation is largely unexplored. ATF3 is a key stress response transcription factor with highly cell type specific functions, which has been discovered as a tumor promoter in keratinocytes in our lab. However, the biological and biochemical function of ATF3 in the dermal compartment of the skin has not been studied yet. Recently, we found that compromised Notch/CSL signaling in dermal fibroblasts (DFs) in mice is a primary cause of multifocal keratinocyte tumors called field cancerization associated with stromal atrophy, matrix alterations and inflammation. Further studies showed that CSL functions as a negative regulator of genes involved in DFs senescence and CAF activation. Here, we show that deletion or silencing of the ATF3 gene in DFs activates senescence and CAF-related gene expression similar to that triggered by loss of CSL, while increased ATF3 suppresses these changes. We hypothesize that ATF3 plays a suppressing role in CAF activation and keratinocyte tumor progression, overcoming the consequences of compromised Notch/CSL signaling. In support of this hypothesis, we found that loss of ATF3 in DFs promotes tumorigenic behavior of keratinocytes via negative control of cytokines, matrix-remodeling enzymes and cancer-associated proteins, possibly through direct binding to Notch/CSL targets, IL6 and Hes genes. On the other hand, in human clinical samples, stromal fields underlying premalignant actinic keratosis lesions showed significantly decreased ATF3 expression relative to stroma of flanking normal skin. Restoration of ATF3, which is lost in cancer development, may be used as a therapeutic tool for translational research to prevent or suppress the field cancerization process.