High-speed plasma measurements with a plasma impedance probe.

Plasma impedance probes (PIPs) are a type of RF probe that primarily measures electron density. This work introduces two advancements: a streamlined analytical model for interpreting PIP-monopole measurements and techniques for achieving ≥1 MHz time-resolved PIP measurements. The model's improvements include introducing sheath thickness as a measurement and providing a more accurate method for measuring electron density and damping. The model is validated by a quasi-static numerical simulation, which compares the simulation with measurements, identifies sources of error, and provides probe design criteria for minimizing uncertainty. The improved time resolution is achieved by introducing higher-frequency hardware, updated analysis algorithms, and a more rigorous approach to RF calibration. Finally, the new model and high-speed techniques are applied to two datasets: a 4 kHz plasma density oscillation resolved at 100 kHz with densities ranging between 2 × 1014 and 3 × 1015 m-3, and a 150 kHz oscillation resolved at 4 MHz with densities ranging between 4 × 1014 and 6 × 1014 m-3.

Endocrine, morphometric, and ultrasonographic characterization of neck adiposity in Andalusian horses.

Equine metabolic syndrome (EMS) can be diagnosed by hormonal measurements; however, it would be important to find simpler measurements that allow easy identification of affected or at risk individuals. In horses, the dorsal neck region is one of the most frequent anatomical sites for fat deposition and neck obesity has been linked to EMS. The aim of this study was to evaluate the association of hormonal markers of obesity (leptin) and insulin resistance (insulin) with morphometric and ultrasonographic neck measurements in Andalusian horses. Plasma leptin and insulin concentrations were measured by RIA in 127 Andalusian horses. Neck circumferences (NC) were measured at 3 equidistant locations at 25%, 50%, and 75% of neck length (NC-25%, NC-50%, and NC-75%). At the same 3 locations, subcutaneous fat thickness (SFT-25%, SFT-50%, and SFT-75%) was measured ultrasonographically. In the population under study, a tendency to adiposity was confirmed by the elevated plasma leptin levels (7.47 ± 5.03 ng/mL). However, plasma insulin concentrations (4.05 ± 3.74 µIU/mL) were within normal range in most horses. Our results indicate that NC showed significant sexual dimorphism and did not correlate well with hormonal measurements. Ultrasonographic assessment of fat thickness at the base of the neck (SFT-75%) was significantly correlated with both plasma leptin and insulin and did not show differences between males and females. Thus, in the search for a single objective parameter which can be used in large populations, SFT-75% is a potential candidate and may be a meaningful parameter to predict EMS.

Eosinophilic Enteritis in Horses with Motor Neuron Disease.

BACKGROUND: Equine motor neuron disease (EMND) is a neuromuscular disorder that affects adult horses. Although EMND has been linked to vitamin E deficiency, its etiopathogenesis is poorly understood. OBJECTIVES: To describe clinical features, laboratory results, and postmortem findings in a series of young horses with motor neuron disease (MND). ANIMALS: A herd of 15 young Andalusian horses with weakness, weight loss, muscle atrophy, and muscle fasciculations related to restricted intake of green forage. METHODS: A case series is presented in which horses were subjected to a clinical examination and plasma vitamin E measurement. Five severely affected horses were euthanized for detailed postmortem examination. Muscle specimens were taken from the M. sacrocaudalis dorsalis medialis and the M. gluteus medius for histopathologic and morphometric evaluation. RESULTS: MND was diagnosed in 5 horses based on clinical signs, low serum levels of vitamin E (0.11 ± 0.05 mg/dL; normal range,: 0.3-1.5 mg/dL), changes in muscle histopathology (neurogenic atrophy), and spinal cord lesions (neuronal chromatolysis in ventral horns). An unexpected postmortem finding was the presence of intestinal inflammation (catarrhal enteritis, edema, and eosinophilic infiltrate) associated with the presence of giant ciliated protozoa in all of the horses. CONCLUSIONS: Although a mechanistic link could not be established, it is hypothesized that intestinal inflammation may have been involved in the decreased absorption of vitamin E, thus favoring the development of MND.

Nonlinear Generation of Electromagnetic Waves through Induced Scattering by Thermal Plasma.

We demonstrate the conversion of electrostatic pump waves into electromagnetic waves through nonlinear induced scattering by thermal particles in a laboratory plasma. Electrostatic waves in the whistler branch are launched that propagate near the resonance cone. When the amplitude exceeds a threshold ~5 × 10(-6) times the background magnetic field, wave power is scattered below the pump frequency with wave normal angles (~59°), where the scattered wavelength reaches the limits of the plasma column. The scattered wave has a perpendicular wavelength that is an order of magnitude larger than the pump wave and longer than the electron skin depth. The amplitude threshold, scattered frequency spectrum, and scattered wave normal angles are in good agreement with theory. The results may affect the analysis and interpretation of space observations and lead to a comprehensive understanding of the nature of the Earth's plasma environment.

Effects of two calculolytic diets on parameters of feline mineral metabolism.

OBJECTIVES: To evaluate the influence of two feline calculolytic diets on selected parameters of mineral metabolism. MATERIALS AND METHODS: Two dry commercial diets designed for struvite urolith dissolution were evaluated in 14 cats. The study was designed as a two-sequence, four-period crossover protocol with a baseline period, two 60-day "run-in" periods in which calculolytic diets (Diet 1 and Diet 2) were fed and one 30-day "wash-out" period. Data are expressed as median (range). RESULTS: Feeding the calculolytic diets for two months did not alter plasma concentrations of calcium, phosphorus, magnesium and parathyroid hormone. A significant (P < 0.05 in each case) decline in calcitriol was observed after administering both diets from 236.4 (122.4-429.6) to 170.4 (108.0-394.3) pmol/L (Diet 1) and from 278.4 (153.6-492.0) to 177.1 (87.6-392.4) pmol/L (Diet 2). Cats fed Diet 1 showed a significant increase in urine calcium concentration (from 0.3 (0.2-0.5) to 0.4 (0.3-0.7) mmol/L). Magnesium concentration in urine was significantly increased with both diets, from 1.4 (0.1-1.7) to 1.5 (1.3-2.4) mmol/L (Diet 1) and from 1.1 (0.4-1.9) to 2.0 (0.1-3.1) mmol/L (Diet 2). CLINICAL SIGNIFICANCE: Both diets resulted in an increased urinary concentration of magnesium, through different mechanisms: urine acidification (Diet 1) and increased sodium load (Diet 2).

Repeated measurements of P retention in ponies fed rations with various Ca:P ratios.

This study addresses the question of whether feeding rations rich in P for a period of up to 42 d induces a positive P balance in adult ponies. Biochemical bone markers and parathyroid hormone (PTH; intact as well as whole PTH) were measured to obtain clues as to the effect of P loading on bone metabolism. The experiment had a Latin square design. Each feeding period lasted 42 d, and there were 2 balance trials (ECP1 and ECP2) within each feeding period. Each balance trial lasted 10 d (ECP1: d 11 to 21; ECP2: d 33 to 42). Six ponies aged 2.5 to 7 yr were fed a control diet that provided P and Ca according to the requirement (Control diet: 54 mg Ca·kg BW(-1) · d(-1); 36 mg P · kg BW(-1) · d(-1)), a diet high in Ca and P (HCaHP diet: 146 mg Ca · kg BW(-1) · d(-1); 121 mg P · kg BW(-1) · d(-1)), and a diet with a high P level only and Ca fed to the requirement (HP diet: 54 mg Ca · kg BW(-1) · d(-1); 122 mg P · kg BW(-1) · d(-1)). When fed the Control diet, the ponies showed a zero P and Ca balance over the 42-d period. The HCaHP diet resulted in both P and Ca retention (about 2 g Ca and P/d; P < 0.05). Phosphorus retention (about 2 g P/d) alone was observed when ponies were fed the HP diet, but P retention was only different (P < 0.05) from the Control diet in ECP1. The excretion of P in urine was reduced by greater Ca intake (P < 0.05), and Mg absorption was reduced by high P intake (P < 0.05). Plasma P concentration was raised by high P intake. Plasma Ca levels were not affected by dietary treatment. The greater (P < 0.05) P retentions observed for the HCaHP diet during ECP1 and ECP2 and HP diet during ECP1 could not be explained by processes that could have been indicated by the bone markers or PTH values. It was concluded that dietary-P-induced retention of P in ponies does not seem to be associated with altered bone metabolism in this study.

Influence of feeding status, time of the day, and season on baseline adrenocorticotropic hormone and the response to thyrotropin releasing hormone-stimulation test in healthy horses.

Equine pituitary pars intermedia function can be assessed by the measurement of baseline and thyrotropin releasing hormone (TRH)-induced concentrations of adrenocorticotropic hormone (ACTH); however, these measurements may be affected by the environment. Therefore, a prospective observational study evaluated the influence of feeding, time of the day, and season on baseline and TRH-induced concentrations of ACTH in healthy horses. Baseline ACTH was measured in 50 horses before and 2 h after feeding. Six research horses were subjected to a crossover study in which 6 TRH tests were performed in 2 different seasons, March-April (MA) and July-September (JS), at 2 different times of the day, 8 AM and 8 PM, and, under 2 different conditions relative to feeding status, fasted and 2 h after feeding. Differences between fasted and fed horses were found in baseline ACTH, 17.1 ± 1.8 versus 46.1 ± 7.6 pg/mL (P = 0.003) and TRH-stimulated ACTH: 124.1 ± 21.3 versus 192.6 ± 33.1 pg/mL (P = 0.029) at 10 min, and 40.1 ± 4.9 versus 73.2 ± 13.4 pg/mL (P = 0.018) at 30 min post TRH injection. No differences were found between tests performed at different times of the day. Basal ACTH concentrations were greater in JS than in MA, 17.1 ± 1.8 versus 11.9 ± 0.6 pg/mL (P = 0.006). A seasonal influence was also found in stimulated ACTH values, which were much greater in JS 122.7 ± 36.7 versus 31.2 ± 7.4 pg/mL, at 10 min (P = 0.03) and 39.0 ± 7.2 versus 19.8 ± 3.1 pg/mL, at 30 min (P = 0.03). In addition to season, feeding is a potential confounding factor when measuring baseline or stimulated ACTH in horses. In conclusion, feeding status should be standardized for the diagnosis of equine pituitary pars intermedia dysfunction.

Vitamin E protection of obesity-enhanced vascular calcification in uremic rats.

This study aimed to determine the extent of extraskeletal calcification in uremic Zucker rats, by comparing obese and lean phenotypes, and to evaluate the influence of vitamin E (VitE) on the development of calcifications in both uremic rats and human vascular smooth muscle cells (HVSMCs) cultured in vitro. Zucker rats of lean and obese phenotypes with normal renal function [control (C); C-lean and C-obese groups] and with uremia [5/6 nephrectomy (Nx); Nx-lean and Nx-obese groups] and uremic rats treated with VitE (Nx-lean + VitE and Nx-obese + VitE groups) were studied. Uremic groups were subjected to Nx, fed a 0.9% phosphorus diet, and treated with calcitriol (80 ng/kg ip). The aortic calcium concentration was significantly higher (P < 0.05) in Nx-obese rats (10.0 ± 2.1 mg/g tissue) than in Nx-lean rats (3.6 ± 1.3 mg/g tissue). A decrease in plasma glutathione peroxidase activity was observed in Nx-obese rats compared with Nx-lean rats (217.2 ± 18.2 vs. 382.3 ± 15.5 nmol·min(-1)·ml(-1), P < 0.05). Treatment with VitE restored glutathione peroxidase activity and reduced the aortic calcium concentration to 4.6 ± 1.3 mg/g tissue. The differences in mineral deposition between Nx-lean, Nx-obese, Nx-lean + VitE, and Nx-obese + VitE rats were also evidenced in other soft tissues. In HVSMCs incubated with high phosphate, VitE also prevented oxidative stress and reduced calcium content, bone alkaline phosphatase, and gene expression of core-binding factor-α1. In conclusion, uremic obese rats develop more severe calcifications than uremic lean rats and VitE reduces oxidative stress and vascular calcifications in both rats and cultures of HVSMCs.

Electron-ion hybrid instability experiment upgrades to the Auburn Linear Experiment for Instability Studies.

The Auburn Linear EXperiment for Instability Studies (ALEXIS) is a laboratory plasma physics experiment used to study spatially inhomogeneous flows in a magnetized cylindrical plasma column that are driven by crossed electric (E) and magnetic (B) fields. ALEXIS was recently upgraded to include a small, secondary plasma source for a new dual source, interpenetrating plasma experiment. Using two plasma sources allows for highly localized electric fields to be made at the boundary of the two plasmas, inducing strong E × B velocity shear in the plasma, which can give rise to a regime of instabilities that have not previously been studied in ALEXIS. The dual plasma configuration makes it possible to have independent control over the velocity shear and the density gradient. This paper discusses the recent addition of the secondary plasma source to ALEXIS, as well as the plasma diagnostics used to measure electric fields and electron densities.

Comparison of different treatments for oestrous induction in seasonally anovulatory mares.

The aim of this study was to evaluate the effects of different treatments for induction and synchronization of oestrus and ovulation in seasonally anovulatory mares. Fifteen mares formed the control group (C), while 26 mares were randomly assigned to three treatment groups. Group T1 (n = 11) were treated with oral altrenogest (0.044 mg/kg; Regumate(®) ) during 11 days. Group T2 (n = 7) was intravaginally treated with 1.38 g of progesterone (CIDR(®) ) for 11 days. In group T3 (n = 8), mares were also treated with CIDR(®) , but only for 8 days. All mares received PGF2α 1 day after finishing the treatment. Sonographic evaluation of follicles, pre-ovulatory follicle size and ovulation time was recorded. Progesterone and leptin levels were analysed. Results show that pre-ovulatory follicles were developed after the treatment in 88.5% of mares. However, the pre-ovulatory follicle growth was dispersal, and sometimes it was detected when treatment was not finished. While in mares treated with intravaginal device, the follicle was soon detected (1.5 ± 1.2 days and 2.3 ± 2.0 days in T2 and T3 groups, respectively), in T1 group, the pre-ovulatory follicle was detected slightly later (3.9 ± 1.6 days). The interval from the end of treatment to ovulation did not show significant differences between groups (T1 = 13.1 ± 2.5 days; T2 = 11.0 ± 3.6 days; T3 = 13.8 ± 4.3 days). The pregnancy rate was 47.4%, similar to the rate observed in group C (46.7%; p > 0.05). Initial leptin concentrations were significantly higher in mares, which restart their ovarian activity after treatments, suggesting a role in the reproduction mechanisms in mares. It could be concluded that the used treatments may be effective for oestrous induction in mares during the late phase of the seasonally anovulatory period. Furthermore, they cannot synchronize oestrus, and then, it is necessary to know the reproductive status of mares when these treatments are used for oestrous synchronization.

Plasma leptin concentration in donkeys.

BACKGROUND: Donkeys appear to be more predisposed than large breed horses to suffer from hyperlipemia. The reason for that predisposition is unknown but anorexia is a consistent feature of the disease. Leptin, a protein synthesized in fat tissue, is one of the major inhibitors of appetite in mammals. OBJECTIVE: We hypothesized that donkeys could have elevated plasma leptin concentrations compared to horses. ANIMALS AND METHODS: Blood samples were obtained from 50 donkeys for measurement of leptin, triglycerides (TGs), glucose, and insulin. Glucose/insulin ratio, modified insulin to glucose ratio, and reciprocal of the square root of insulin were calculated. Based on their body condition score (BCS), donkeys were classified as lean (n = 18), normal (n = 16), or overweight (n = 16). The results were compared with reference values from our laboratory and with a group of horses (n = 25) used as an internal control. RESULTS: Values of both leptin and TGs in donkeys were above the horse reference range and also significantly higher than those of the control horses: leptin (11.2 ± 1.7 versus 5.8 ± 0.5 µg/L, p < 0.05) and TGs (0.93 ± 0.1 versus 0.54 ± 0.1 mmol/L, p < 0.01). Overweight donkeys had leptin (19.3 ± 2.9 µg/L) and TG (1.3 ± 0.2 mmol/L) concentrations that were significantly (p < 0.01) higher than normal (9.4 ± 3.3 µg/L and 0.85 ± 0.1 mmol/L, respectively) and lean (5.5 ± 1.0 µg/L and 0.66 ± 0.1 mmol/L, respectively) donkeys. A significant positive correlation (p < 0.01) was found between BCS and leptin (r = 0.43), TGs (r = 0.46), glucose (r = 0.41), and insulin (r = 0.40). CONCLUSION: Donkeys have higher plasma leptin concentrations than horses and leptin is correlated with BCS.

Feline parathyroid hormone: validation of hormonal assays and dynamics of secretion.

Validated assays for quantification of intact parathyroid hormone (I-PTH) are no longer available. Moreover, the third-generation PTH assay that only detects the whole PTH molecule (W-PTH) has never been tested in cats. The work presented here is aimed to validate a commercially available assay for measurement of I-PTH and W-PTH in cats and to study the dynamics of PTH secretion in healthy cats. Our results show that both assays are reliable for the measurement of feline PTH. In healthy adult cats W-PTH concentration (15.1 ± 1.6 pg/mL) was greater (P < 0.001) than I-PTH concentration (9.1 ± 0.7 pg/mL). The dynamics of PTH secretion in response to changes in extracellular calcium (Ca(2+)) were investigated in 13 cats by studying PTH-Ca(2+) curves. PTH-Ca(2+) curves were obtained by intravenous infusion of disodium ethylenediaminetetraacetic acid and CaCl(2). PTH was measured using both I-PTH and W-PTH assays. During hypocalcemia a sigmoidal curve that was similar when measured with I-PTH or W-PTH was obtained. The maximal PTH concentration in response to hypocalcemia was greater with W-PTH (179.6 ± 41.9 pg/mL) than with I-PTH (67.6 ± 10.5 pg/mL; P = 0.01). However, hypercalcemia resulted in an equivalent PTH inhibition, with both assays yielding PTH concentrations as follows: W-PTH = 4.0 ± 0.4 pg/mL and I-PTH = 4.9 ± 0.3 pg/mL (NS). Parameters of the feline PTH-Ca(2+) curve are similar to what has been previously reported in dogs.

Comparación del tiempo operatorio y complicaciones entre la pieloplastia laparoscópica convencional y robótica / Comparison of the Operation Time and Complications between Conventional and Robotic-Assisted Laparoscopic Pyeloplasty

Objetivo: Comparar los diferentes tiempos en que podemos dividir la pieloplastia laparoscópica convencional y robótica. Comparar la tasa de complicaciones entre ambos procedimientos. Material y métodos: Estudio retrospectivo de los pacientes diagnosticados de estenosis de la unión pieloureteral tratados mediante pieloplastia laparoscópica convencional y robótica con más de un año de seguimiento. Se han grabado y revisualizado todas las intervenciones. Se han medido los diferentes tiempos en que podemos dividir la pieloplastia. Se han recogido todas las complicaciones peri y postoperatorias presentadas por los pacientes. Se aplicaron las pruebas no paramétricas de Kolmogorov-Smirnov y la U de Mann-Whitney para muestras independientes utilizando un nivel de significación de 0.05. Resultados: Han sido válidos 50 pacientes, 33 tratados con laparoscopia convencional y 17 mediante laparoscopia robótica. El tiempo de sutura, tiempo total de la intervención y la estancia hospitalaria han sido menores con una diferencia estadísticamente significativa en la pieloplastia robótica. La pieloplastia robótica ha presentado menor porcentaje de complicaciones (76,5% vs. 48,5%). Las complicaciones más frecuentes fueron las infecciones urinarias, en relación al doble J. Se han producido 2 reestenosis en la laparoscopia convencional y 1 en la robótica. Tasa de éxitos del 93,9% para la laparoscopia convencional y de 94,1% para la robótica. Conclusiones: Aunque la tasa de éxitos es similar en ambos procedimientos, la pieloplastia robótica es un procedimiento más rápido y tiene menos tasas de complicaciones que la laparoscopia convencional (AU)

Objective: To compare the different times into which the convention and robotic-assisted laparoscopic pyeloplasty can be divided. To compare the rate of complications between both procedures. Material and methods: A retrospective study was performed of the patients diagnosed of pyeloureteral junction stenosis and treated with convention and robotic laparoscopic pyeloplasty with more than one year of follow-up. All of the interventions were recorded and visualized. The different times in which the pyeloplasty can be divided were measured. All of the peri- and post-operative complications that occurred by the patients were collected. The non-parametric tests of Kolmogorov-Smirnov and Mann-Whitney U-Test for independent samples were applied using a significance level of 0.05. Results: A total of 50 patients were validated. Thirty three were treated with convention laparoscopy and 17 with robotic laparoscopy. The suture time, total intervention time and time of hospital stay were lower with a statistically significant difference in the robotic-assisted pyeloplasty. The robotic pyeloplasty had a lower percentage of complications (76.5% vs 48.5%). The most frequent complications were urinary infections, in relationship to the double J. Two restenoses occurred in the conventional laparoscopy and one in the robotic-assisted. Success rate was 93.9% for the conventional laparoscopy and 94.1% for the robotic-assisted one. Conclusions: Although the success rate is similar in both procedures, the robotic pyeloplasty is a very fast procedure and has lower rates of complications than the conventional laparoscopy (AU)

[Comparison of the operation time and complications between conventional and robotic-assisted laparoscopic pyeloplasty]. / Comparación del tiempo operatorio y complicaciones entre la pieloplastia laparoscópica convencional y robótica.

OBJECTIVE: To compare the different times into which the convention and robotic-assisted laparoscopic pyeloplasty can be divided. To compare the rate of complications between both procedures. MATERIAL AND METHODS: A retrospective study was performed of the patients diagnosed of pyeloureteral junction stenosis and treated with convention and robotic laparoscopic pyeloplasty with more than one year of follow-up. All of the interventions were recorded and visualized. The different times in which the pyeloplasty can be divided were measured. All of the peri- and post-operative complications that occurred by the patients were collected. The non-parametric tests of Kolmogorov-Smirnov and Mann-Whitney U-Test for independent samples were applied using a significance level of 0.05. RESULTS: A total of 50 patients were validated. Thirty three were treated with convention laparoscopy and 17 with robotic laparoscopy. The suture time, total intervention time and time of hospital stay were lower with a statistically significant difference in the robotic-assisted pyeloplasty. The robotic pyeloplasty had a lower percentage of complications (76.5% vs 48.5%). The most frequent complications were urinary infections, in relationship to the double J. Two restenoses occurred in the conventional laparoscopy and one in the robotic-assisted. Success rate was 93.9% for the conventional laparoscopy and 94.1% for the robotic-assisted one. CONCLUSIONS: Although the success rate is similar in both procedures, the robotic pyeloplasty is a very fast procedure and has lower rates of complications than the conventional laparoscopy.

Upgrades to the Auburn linear experiment for instability studies.

The Auburn linear experiment for instability studies (ALEXIS) is a laboratory plasma physics experiment that is designed to investigate the role of spatially non-uniform E × B drifts using a magnetized cylindrical plasma column. This paper discusses the recent upgrades to the ALEXIS device, including improvements to the plasma source, gas management systems, and diagnostic suite.

Spontaneous electromagnetic emission from a strongly localized plasma flow.

Laboratory observations of electromagnetic ion-cyclotron waves generated by a localized transverse dc electric field are reported. Experiments indicate that these waves result from a strong E×B flow inhomogeneity in a mildly collisional plasma with subcritical magnetic field-aligned current. The wave amplitude scales with the magnitude of the applied radial dc electric field. The electromagnetic signatures become stronger with increasing plasma ß, and the radial extent of the power is larger than that of the electrostatic counterpart. Near-Earth space weather implications of the results are discussed.

Liver transplanted patients with donors older than 60 years require more hospital resources.

BACKGROUND: The increasing utilization of organs from older donors to fulfill the increasing demand for transplantation has been associated with an increased complication rate and shorter graft survival. Nevertheless, few studies have evaluated the impact of these donors on resource utilization. We sought to evaluate hospital resource utilization during the first year after liver transplantation among patients receiving a liver from a donor >60 years versus a younger donor. METHODS: This prospective study evaluated 149 consecutive liver transplantations performed in our center between 2000 and 2005. We divided the patients into 2 groups according to the donor's age; group A <60 and group B, ≥ 60 years. The follow-up was for the first year. Herein we have reported data related to resource utilization, such as number and length of stay hospitalizations, length of ICU stay; surgical and diagnostic procedures including ultrasounds, cholangiography, computed tomography or magnetic resonance imaging, as well as external consultations. RESULT: Group B patient required a greater number of hospitalizations (2.7 ± 2.4 vs 1.7 ± 1.5; P = .006), and a longer length of initial stay (37.5 ± 20.9 vs 27.8 ± 17.5 days; P = .012). There were no differences between groups concerning diagnostic and surgical procedures or external consultations. CONCLUSION: Patients transplanted from donors >60 years required more hospital resources in the first year after transplantation.

Linear decomposition method for approximating arbitrary magnetic field profiles by optimization of discrete electromagnet currents.

A method for approximating arbitrary axial magnetic field profiles for a given solenoidal electromagnet coil array is described. The method casts the individual contributions from each coil as a truncated orthonormal basis for the space within the array. This truncated basis allows for the linear decomposition of an arbitrary profile function, which returns the appropriate currents for each coil to best reproduce the desired profile. We present the mathematical details of the method along with a detailed example of its use. The results from the method are used in a simulation and compared with magnetic field measurements.