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Heterobuckybowls: a theoretical study on the structure, bowl-to-bowl inversion barrier, bond length alternation, structure-inversion barrier relationship, stability, and synthetic feasibility.

Hybrid density functional theory (DFT) calculations at the B3LYP/cc-pVDZ level have been performed on a series of heterobuckybowls, 3X, C(18)X(3)H(6) (X = O, NH, CH(2), BH, S, PH, PH(3), Si, SiH(2), and AlH). The minimum energy conformations and the transition states for bowl-to-bowl inversion, where the geometry is bowl shaped, are computed and characterized by frequency calculations. The geometries of heterotrindenes, 2X, C(12)X(3)H(6) (X = O, NH, CH(2), BH, S, PH, PH(3), Si, SiH(2), and AlH), were obtained, and the bond length alternation (Delta) in the central benzenoid ring shows remarkable sensitivity as a function of substituent with a wide range of fluctuations (-0.014 to +0.092 A). The Delta computed in 2BH was found to be comparable with the highest bond alternation reported to date in benzenoid frameworks. The inversion dynamics of these heterobowls and their bowl depths were fit to a mixed quartic/quadratic function. The size of the heteroatom seems to exclusively control the bowl depth and rigidity as well as the synthetic feasibility. In contrast, the bond length alternation seems to be controlled by electronic factors and not by the size of the substituted atom either in trindenes or in heterosumanenes. The thermodynamic stability of this class of compounds is very much comparable with trithiasumanene (3S), which has been synthesized recently. The chemical hardness (eta) was measured to assess the stability of the heterosumanenes. The strain energy buildup in a sequential ring closure strategy along two synthetic routes, namely a triphenylene route and a trindene route, were explored, and the trindene route was found to be highly favorable for making such compounds compared to the triphenylene route. However, in both routes the ease of the synthetic feasibility increases as the size of the heteroatom increases.

Journal Article↗

Inversion Barrier of Corannulene. A Benchmark for Bowl-to-Bowl Inversions in Fullerene Fragments.

In a systematic ab initio study, the Hartree-Fock, B3LYP density functional, and MP2 methods are employed to calculate the bowl-to-bowl inversion barrier of corannulene (1). Basis sets ranging from a minimal basis (STO-3G) to a double polarized valence triple-zeta basis (6-311G(2d,2p)) were used. In comparison with experimental data, it was found that inclusion of dynamic electron correlation (e.g., B3LYP) and a 6-311G basis set (or other basis sets with similar complexity) are essential for quantitatively correct results. At B3LYP/6-311G, DeltaG()(298) = 44.9 kJ/mol. Thermal corrections to Gibbs energy of activation were of minor importance in the relevant range of temperatures. Inversion barriers (DeltaE()(Tot)) of the bowl-shaped fullerene fragments C(26)H(12) 4 and C(30)H(12) 5 and the chiral C(30)H(12) 6 are predicted to be 28.0, 199.4, and 277.3 kJ/mol, respectively, at B3LYP/6-311G. Predicted enthalpies of formations and strain energies are also discussed.

Journal Article↗

Simultaneous conductivity and viscosity measurements as a technique to track emulsion inversion by the phase-inversion-temperature method.

Two kinds of transitions can occur when an emulsified water-oil-ethoxylated nonionic surfactant system is cooled under constant stirring. At a water-oil ratio close to unity, a transitional inversion takes place from a water-in-oil (W/O) to an oil-in-water (O/W) morphology according to the so-called phase-inversion-temperature method. At a high water content, a multiple w/O/W emulsion changes to a simple O/W emulsion. The continuous monitoring of both the emulsion conductivity and viscosity allows the identification of several phenomena that take place during the temperature decrease. In all cases, a viscosity maximum is found on each side of the three-phase behavior temperature interval and correlates with the attainment of extremely fine emulsions, where the best compromise between a low-tension and a not-too-unstable emulsion is reached. The studied system contains Polysorbate 85, a light alkane cut oil, and a sodium chloride brine. All transitions are interpreted in the framework of the formulation-composition bidimensional map.

Journal Article↗

Computational evidence that the inverse kinetic isotope effect for reductive elimination of methane from a tungstenocene methyl-hydride complex is associated with the inverse equilibrium isotope effect for formation of a sigma-complex intermediate.

Calculations on [H2Si(C5H4)2]W(Me)H demonstrate that the interconversion between [H2Si(C5H4)2]W(Me)H and the sigma-complex [H2Si(C5H4)2]W(sigma-HMe) is characterized by normal kinetic isotope effects for both reductive coupling and oxidative cleavage; the equilibrium isotope effect, however, is inverse and is the origin of the inverse kinetic isotope effect for the overall reductive elimination of methane.

Journal Article↗

Oxygen and sulfur esters of "inverse substrates": different responses of amidinophenol and amidinothiophenol in the activation of the rate of tryptic hydrolysis of the inverse esters.

Kinetic parameters for the trypsin-catalyzed hydrolysis of the oxygen and sulfur "inverse substrates," p-amidinophenyl and p-amidinothiophenyl acetates and trimethylacetates, have been compared. The results suggest that both series of compounds are hydrolyzed via an identical pathway. Appreciable differences, however, were observed in the efficiency of the acylation process in both series, possibly reflecting the spatial requirements of the enzyme's active site toward these substrates. As reported previously, acceleration in deacylation by a positively charged molecule is a characteristic feature of trypsin-catalyzed hydrolysis of "inverse substrates." In the present investigation, it was shown that p-amidinothiophenol is ineffective as an activator, whereas its oxygen counterpart behaves as a potent activator toward oxygen and sulfur substrates. It is assumed that some ionic interaction between the enzyme and the ligand molecule could prevent the rate enhancement.

Acetates↗

Evaluation of atomic level mean force potentials via inverse folding and inverse refinement of protein structures: atomic burial position and pairwise non-bonded interactions.

Two atomic level knowledge-based mean force interaction potentials (KBPs), a centrosymmetric burial position term and a long-range pairwise term, were developed. These were tested by comparing multiple configurations of three structurally unrelated proteins and were found successfully to (i) discriminate native state proteins from grossly misfolded structures in inverse folding tests, (ii) rank identify, using the KBP energy/r.m.s.d. correlation, native from progressively less native-like (compact and dilated) structures generated via molecular dynamics sampling, providing an energy gradient sloping from partially unfolded structures towards near-native states in inverse refinement tests (iii) smooth the overall potential energy surface in the region of dilated non-native structures by countering local minima of the in vacuo molecular mechanical potential and (iv) serve as a local minimum detector during simulated temperature quenching studies. These atomic KBPs discriminated native from non-native structures with greater overall sensitivity than did either a residue-based pairwise interaction potential or an effective solvation potential based on atomic contact volume occupancy. The KBPs presented here are immediately useful as a tool for selecting "good refinement candidates' from an arbitrary collection of protein configurations and may play a role in dynamic computational protein refinement.

Flavodoxin↗

Gd-DTPA-enhanced short repetition time and short inversion time inversion recovery magnetic resonance imaging. Experimental and clinical assessment.

To suppress both water and fat signal while retaining the high signal of Gd-DTPA enhancement, magnetic resonance imaging (MRI) of phantoms and 28 patients with mass lesions was done using short repetition time (TR) and short inversion time inversion recovery (STIR) sequences. Optimal STIR pulse sequences of 500 to 1000/80-100/20-30 (TR/TI/TE) were determined by an experimental study. In most instances, a signal bandwidth of +/- 8 kHz was used to increase the signal-to-noise ratio. The authors measured image contrast between lesions and adjacent fatty tissue and compared postcontrast STIR and T1-weighted spin-echo (T1-W SE) images. When the signal intensity of a lesion is 80% of adjacent fatty tissue on postcontrast T1-W SE, short TR STIR images provide better tumor delineation.

Contrast Media↗

A critical analysis of linear inverse solutions to the neuroelectromagnetic inverse problem.

This paper explores the possibilities of using linear inverse solutions to reconstruct arbitrary current distributions within the human brain. We formally prove that due to the underdetermined character of the problem, the only class of measurable current distributions that can be totally retrieved are those of minimal norm. The reconstruction of smooth or averaged versions of the currents is also explored. A solution that explicitly attempts to reconstruct averages of the current is proposed and compared with the minimum norm and the minimum Laplacian solution. In contrast to the majority of previous analysis carried out in the field, in the comparisons, we avoid the use of measures designed for the case of dipolar sources. To allow for the evaluation of distributed solutions in the case of arbitrary current distributions we use the concept of resolution kernels. Two summarizing measures, source identifiability and source visibility, are proposed and applied to the comparison. From this study can be concluded: 1) linear inverse solutions are unable to produce adequate estimates of arbitrary current distributions at many brain sites and 2) averages or smooth solutions are better than the minimum norm solution estimating the position of single point sources. However, they systematically underestimate their amplitude or strength especially for the deeper brain areas. Based on these result, it appears unlikely that a three-dimensional (3-D) tomography of the brain electromagnetic activity can be based on linear reconstruction methods without the use of a significant amount of a priori information.

Brain↗

Cartilaginous defects of the femorotibial joint: accuracy of coronal short inversion time inversion-recovery MR sequence.

PURPOSE: To retrospectively assess the diagnostic performance of the short inversion time inversion-recovery (STIR) magnetic resonance (MR) sequence for depiction and classification of articular cartilaginous lesions in femorotibial joint, with arthroscopy as reference standard. MATERIALS AND METHODS: Institutional review board did not require approval and informed consent for review of patients' records or images. All patients (and parents of underage patients) agreed to use of their data. Two musculoskeletal radiologists independently analyzed femorotibial cartilage on coronal STIR images from 84 knee MR examinations in 83 patients (48 male patients [49 knees], 35 female patients; mean age, 39.5 years). Slightly modified Outerbridge classification was used: grade 0, normal cartilage; grade 1, softening or swelling; grade 2, partial-thickness defect; grade 3, fissuring to the level of the subchondral bone; and grade 4, exposed subchondral bone. Arthroscopy performed within 15 weeks was the standard of reference. Classification for arthroscopy differed only in definition of grade 1 (softening or swelling of cartilage). Sensitivity, specificity, accuracy, positive and negative predictive values, and weighted kappa values were calculated to assess interobserver reliability. RESULTS: At arthroscopy, 212 (63%) of 336 surfaces were classified as grade 0 (normal); 37 (11%), as grade 1 abnormalities; 30 (9%), as grade 2 lesions; 25 (7%), as grade 3 lesions; and 32 (10%), as grade 4 lesions. Grades 0 and 1 were considered normal; grades 2-4, as abnormal. For detection of contour defects of the cartilaginous surface, coronal STIR MR imaging had sensitivity values of 77% and 76%, specificity values of 96% and 89%, accuracy values of 91% and 85%, positive predictive values of 86% and 70%, and negative predictive values of 92% and 91% for readers 1 and 2, respectively. Weighted kappa value was 0.63. CONCLUSION: Contour defects of femorotibial cartilage can be detected with reasonable accuracy with routine STIR sequence.

Adolescent↗

Inversion in the steady state: contrast optimization and reduced imaging time with fast three-dimensional inversion-recovery-prepared GRE pulse sequences.

PURPOSE: To evaluate the differences in contrast between 1-second delay and zero delay (for magnetization recovery) before the preparation radio-frequency pulse in three-dimensional, inversion-recovery (IR) fast gradient-echo (GRE) acquisitions. MATERIALS AND METHODS: Mathematical simulations and measurements of brain image contrast were performed with healthy volunteers and 10 patients. RESULTS: The zero-delay sequence generated T1-weighted contrast similar to that obtained with 1-second delay but was accompanied by a substantial reduction in imaging time. However, the zero delay prohibits full recovery of the longitudinal magnetization. Hence, the signal null characteristic of IR experiments is not easily observed, since it occurs (as a function of tissue T1) at very short inversion times (< 150 msec). CONCLUSION: T1-weighted contrast comparable with that of magnetization-prepared rapid GRE sequences with a 1-second delay and preparation time (TP) of 600-700 msec can be achieved in less time by using a zero delay and a shorter TP (400-500 msec).

Brain↗

Infectious liver foci in leukemia: comparison of short-inversion-time inversion-recovery, T1-weighted spin-echo, and dynamic gadolinium-enhanced MR imaging.

PURPOSE: To assess the performances of three different magnetic resonance (MR) imaging techniques in the evaluation of patients with leukemia and suspected hepatic candidiasis. MATERIALS AND METHODS: Twelve patients with acute leukemia and definite or clinically suspected hepatic candidiasis were imaged at 1.0 T with a T1-weighted spin-echo (SE) technique, a short-inversion-time inversion-recovery (STIR) fat-suppression technique, and a dynamic gadolinium-enhanced fast low-angle shot (FLASH) technique. The conspicuity of hepatic lesions was evaluated semiquantitatively and ranked on a three-point scale. RESULTS: Multiple liver lesions were seen as high-signal-intensity foci with the STIR sequence; other sequences showed equivocal results. In the semiquantitative evaluation, STIR was significantly (P < .001) superior to both T1-weighted SE and contrast-enhanced FLASH techniques. Multiple red blood cell transfusions affected lesion conspicuity. CONCLUSION: STIR imaging is recommended as the MR technique of choice at 1.0 T in the evaluation of infectious liver foci in patients with acute leukemia.

Acute Disease↗

Improved MR venography: use of fast short inversion time inversion-recovery technique in evaluation of venous angiomas.

Eleven patients (five female and six male, aged 6-67 years) with venous angiomas underwent axial and coronal T1-weighted and fast short inversion time inversion-recovery (STIR) magnetic resonance (MR) imaging to assess the full extent of the malformations. Images were assessed subjectively by the authors in a nonblinded study. In all patients, fast STIR images depicted more anatomic detail than did T1-weighted images and depicted venous angiomas more clearly than did contrast material-enhanced CT scans but did not help discrimination of arteries and veins.

Adolescent↗

Orbital pseudotumors: value of short inversion time inversion-recovery MR imaging.

PURPOSE: To evaluate magnetic resonance (MR) signal intensities of orbital pseudotumors on short inversion time inversion-recovery (STIR) images and to predict the effect of treatment. MATERIALS AND METHODS: Sequential MR examinations were performed in 17 patients with orbital pseudotumors, before and after treatment. All patients underwent MR imaging with T1- and T2-weighted spin-echo or fast spin-echo sequences, and STIR sequences with two 0.5-T systems. Quantitatively and qualitatively, the differences in signal intensities among three therapeutic response groups (good, mild, and no responses) were analyzed for each pulse sequence. RESULTS: Quantitatively, both contrast and contrast-to-noise ratio on STIR images corresponded well to the results of response to therapy for all background markers; contrast and contrast-to-noise ratio values in the good response group were the largest, while those in the no response group were the smallest (P < .0001). Qualitatively, the signal intensities of the lesions in the good response group were interpreted as hyperintense to the cerebral cortex in 14 (93%) or 11 (73%) of 15 lesions by two observers, respectively, while in the no response group, both observers assessed 16 (89%) of 18 lesions as hypo- or isointense to the muscle (P < .0001). CONCLUSION: STIR images showed a variety of signal intensities in the lesions, and the signal intensities on the STIR images helped predict the response to the therapy in orbital pseudotumors.

Adult↗

Juvenile idiopathic inflammatory myopathy: exercise-induced changes in muscle at short inversion time inversion-recovery MR imaging.

PURPOSE: To study the effect of exercise on short inversion time inversion-recovery (STIR) magnetic resonance (MR) images of thigh muscles in children with juvenile idiopathic inflammatory myopathy. MATERIALS AND METHODS: Thirty-two MR studies were performed in 19 patients with juvenile idiopathic inflammatory myopathy who performed stair-stepping exercise for up to 10 minutes (mean, 5.7 minutes). Baseline T1-weighted (n = 32) and STIR (n = 32) images and STIR images immediately (n = 32) and at 30 (n = 24) and 60 (n = 29) minutes after exercise were obtained at 0.5 T. Four radiologists graded STIR signal intensity changes, in observer performance experiments in which they were blinded to the order of image acquisition in relation to exercise. RESULTS: Changes in muscle signal intensity were observed on STIR images obtained immediately after exercise in 20 of 32 (63%) studies. The mean signal intensity score immediately after exercise (1.7 +/- 1.0 [SD]) increased compared with the mean baseline score (1.4 +/- 1.1) (P = .0005) and resolved by 30 minutes after exercise. The magnitude of exercise-induced changes correlated with the amount of work performed (r = 0.51, P = .003) but not with disease activity or baseline signal intensity when the changes were corrected for work (r < 0.17, P > .35). Radiologists demonstrated moderate to substantial agreement in the grading of signal intensity changes after exercise (kappa = 0.60-0.84). CONCLUSION: In patients with juvenile idiopathic inflammatory myopathy, stair-stepping exercise induces signal intensity changes on STIR MR studies of muscle for approximately 30 minutes after exercise, in a distribution that may mimic active muscle inflammation.

Adolescent↗

Inverse problem in optical diffusion tomography. I. Fourier-Laplace inversion formulas.

We consider the inverse problem of reconstructing the absorption and diffusion coefficients of an inhomogeneous highly scattering medium probed by diffuse light. Inversion formulas based on the Fourier-Laplace transform are used to establish the existence and uniqueness of solutions to this problem in planar, cylindrical, and spherical geometries.

Fourier Analysis↗

Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition.

We continue our study of the inverse scattering problem for diffuse light. In particular, we derive inversion formulas for this problem that are based on the functional singular-value decomposition of the linearized forward-scattering operator in the slab, cylindrical, and spherical geometries. Computer simulations are used to illustrate our results in model systems.

Models, Theoretical↗

Nonspecificity of short inversion time inversion recovery (STIR) as a technique of fat suppression: pitfalls in image interpretation.

Short inversion time inversion recovery (STIR) and the rapid acquisition with relaxation enhancement (RARE) version of STIR are commonly used pulse sequences that are sensitive enough to detect a broad range of pathologic conditions. In addition to suppressing the signal from fat, the STIR sequence achieves additive T1-weighted, T2-weighted, and proton density-weighted contrast to facilitate lesion conspicuity [1, 2]. Fat suppression with STIR sequences is based on short T1 relaxation rates and therefore is not tissue specific. The signal from any tissue with a short T1, similar to that of fat, may be nulled as well. The signal from tissues that accumulate paramagnetic contrast agents also may be suppressed with STIR sequences when an appropriate degree of T1 shortening results.

Adipose Tissue↗

Staging of malignant lymphoma with three-station black-blood fast short-inversion time inversion recovery (STIR).

PURPOSE: The purpose of this study was to assess the usefulness of three-station black-blood fast short-inversion time inversion recovery (STIR) imaging in detecting and staging malignant lymphoma. METHODS: Seventeen patients with malignant lymphoma were examined with a 1.5T imager. The findings and stagings determined with three-station black-blood fast STIR imaging were compared with reference standards (e.g., computed tomography [CT] findings and clinical stagings). RESULTS: Three-station black-blood fast STIR imaging provided a fat-suppressed T2-weighted imaging contrast with fewer flow artifacts and revealed nodal involvement as well as bone marrow and spleen involvement to an extent comparable with CT. Especially notable was the excellent specificity (94%) of this imaging technique. Regarding disease staging, significant agreement was observed between clinical staging (k=0.60) and staging as evaluated by three-station black-blood fast STIR, although the detection of lymphadenopathy in the thorax was relatively poor. The average time required for this imaging was approximately 30 min. CONCLUSION: Three-station black-blood fast STIR MR imaging may be useful as a staging tool for malignant lymphoma because this imaging technique reveals lymphoma lesions, which determine the staging, without radiation exposure or the use of contrast agents.

Adult↗