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Rulifson IC, Cao P, Miao L, Kopecky D, Huang L, White RD, Samayoa K, Gardner J, Wu X, Chen K, Tsuruda T, Homann O, Baribault H, Yamane H, Carlson T, Wiltzius J, Li Y. Identification of Human Islet Amyloid Polypeptide as a BACE2 Substrate. PLoS One 2016; 11:e0147254. [PMID: 26840340 PMCID: PMC4739698 DOI: 10.1371/journal.pone.0147254] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/19/2015] [Accepted: 01/03/2016] [Indexed: 11/19/2022] Open
Abstract
Pancreatic amyloid formation by islet amyloid polypeptide (IAPP) is a hallmark pathological feature of type 2 diabetes. IAPP is stored in the secretory granules of pancreatic beta-cells and co-secreted with insulin to maintain glucose homeostasis. IAPP is innocuous under homeostatic conditions but imbalances in production or processing of IAPP may result in homodimer formation leading to the rapid production of cytotoxic oligomers and amyloid fibrils. The consequence is beta-cell dysfunction and the accumulation of proteinaceous plaques in and around pancreatic islets. Beta-site APP-cleaving enzyme 2, BACE2, is an aspartyl protease commonly associated with BACE1, a related homolog responsible for amyloid processing in the brain and strongly implicated in Alzheimer's disease. Herein, we identify two distinct sites of the mature human IAPP sequence that are susceptible to BACE2-mediated proteolytic activity. The result of proteolysis is modulation of human IAPP fibrillation and human IAPP protein degradation. These results suggest a potential therapeutic role for BACE2 in type 2 diabetes-associated hyperamylinaemia.
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Boyle GJ, McEachran RP, Cocks DG, White RD. Electron scattering and transport in liquid argon. J Chem Phys 2015; 142:154507. [PMID: 25903897 DOI: 10.1063/1.4917258] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The transport of excess electrons in liquid argon driven out of equilibrium by an applied electric field is revisited using a multi-term solution of Boltzmann's equation together with ab initio liquid phase cross-sections calculated using the Dirac-Fock scattering equations. The calculation of liquid phase cross-sections extends previous treatments to consider multipole polarisabilities and a non-local treatment of exchange, while the accuracy of the electron-argon potential is validated through comparison of the calculated gas phase cross-sections with experiment. The results presented highlight the inadequacy of local treatments of exchange that are commonly used in liquid and cluster phase cross-section calculations. The multi-term Boltzmann equation framework accounting for coherent scattering enables the inclusion of the full anisotropy in the differential cross-section arising from the interaction and the structure factor, without an a priori assumption of quasi-isotropy in the velocity distribution function. The model, which contains no free parameters and accounts for both coherent scattering and liquid phase screening effects, was found to reproduce well the experimental drift velocities and characteristic energies.
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Tattersall WJ, Cocks DG, Boyle GJ, Buckman SJ, White RD. Monte Carlo study of coherent scattering effects of low-energy charged particle transport in Percus-Yevick liquids. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:043304. [PMID: 25974609 DOI: 10.1103/physreve.91.043304] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/30/2015] [Indexed: 06/04/2023]
Abstract
We generalize a simple Monte Carlo (MC) model for dilute gases to consider the transport behavior of positrons and electrons in Percus-Yevick model liquids under highly nonequilibrium conditions, accounting rigorously for coherent scattering processes. The procedure extends an existing technique [Wojcik and Tachiya, Chem. Phys. Lett. 363, 381 (2002)], using the static structure factor to account for the altered anisotropy of coherent scattering in structured material. We identify the effects of the approximation used in the original method, and we develop a modified method that does not require that approximation. We also present an enhanced MC technique that has been designed to improve the accuracy and flexibility of simulations in spatially varying electric fields. All of the results are found to be in excellent agreement with an independent multiterm Boltzmann equation solution, providing benchmarks for future transport models in liquids and structured systems.
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Weir-McCall JR, White RD, Gandy SJ, Ramkumar PG, Belch JJF, Struthers AD, Houston JG. 30 Whole body contrast enhanced MRA can quantify and monitor atherosclerosis progression. BRITISH HEART JOURNAL 2015. [DOI: 10.1136/heartjnl-2015-307845.30] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
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Do TPT, Duque HV, Lopes MCA, Konovalov DA, White RD, Brunger MJ, Jones DB. Differential cross sections for electron-impact vibrational-excitation of tetrahydrofuran at intermediate impact energies. J Chem Phys 2015; 142:124306. [PMID: 25833578 DOI: 10.1063/1.4915888] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
Abstract
We report differential cross sections (DCSs) for electron-impact vibrational-excitation of tetrahydrofuran, at intermediate incident electron energies (15-50 eV) and over the 10°-90° scattered electron angular range. These measurements extend the available DCS data for vibrational excitation for this species, which have previously been obtained at lower incident electron energies (≤20 eV). Where possible, our data are compared to the earlier measurements in the overlapping energy ranges. Here, quite good agreement was generally observed where the measurements overlapped.
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Cheng Y, Brown J, Judd TC, Lopez P, Qian W, Powers TS, Chen JJ, Bartberger MD, Chen K, Dunn RT, Epstein O, Fremeau RT, Harried S, Hickman D, Hitchcock SA, Luo Y, Minatti AE, Patel VF, Vargas HM, Wahl RC, Weiss MM, Wen PH, White RD, Whittington DA, Zheng XM, Wood S. An Orally Available BACE1 Inhibitor That Affords Robust CNS Aβ Reduction without Cardiovascular Liabilities. ACS Med Chem Lett 2015; 6:210-5. [PMID: 25699151 DOI: 10.1021/ml500458t] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2014] [Accepted: 12/29/2014] [Indexed: 11/28/2022] Open
Abstract
BACE1 inhibition to prevent Aβ peptide formation is considered to be a potential route to a disease-modifying treatment for Alzheimer's disease. Previous efforts in our laboratory using a combined structure- and property-based approach have resulted in the identification of aminooxazoline xanthenes as potent BACE1 inhibitors. Herein, we report further optimization leading to the discovery of inhibitor 15 as an orally available and highly efficacious BACE1 inhibitor that robustly reduces CSF and brain Aβ levels in both rats and nonhuman primates. In addition, compound 15 exhibited low activity on the hERG ion channel and was well tolerated in an integrated cardiovascular safety model.
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Chen JJ, Liu Q, Yuan C, Gore V, Lopez P, Ma V, Amegadzie A, Qian W, Judd TC, Minatti AE, Brown J, Cheng Y, Xue M, Zhong W, Dineen TA, Epstein O, Human J, Kreiman C, Marx I, Weiss MM, Hitchcock SA, Powers TS, Chen K, Wen PH, Whittington DA, Cheng AC, Bartberger MD, Hickman D, Werner JA, Vargas HM, Everds NE, Vonderfecht SL, Dunn RT, Wood S, Fremeau RT, White RD, Patel VF. Development of 2-aminooxazoline 3-azaxanthenes as orally efficacious β-secretase inhibitors for the potential treatment of Alzheimer’s disease. Bioorg Med Chem Lett 2015; 25:767-74. [DOI: 10.1016/j.bmcl.2014.12.092] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/12/2014] [Revised: 12/23/2014] [Accepted: 12/29/2014] [Indexed: 01/25/2023]
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Dineen TA, Chen K, Cheng AC, Derakhchan K, Epstein O, Esmay J, Hickman D, Kreiman CE, Marx IE, Wahl RC, Wen PH, Weiss MM, Whittington DA, Wood S, Fremeau RT, White RD, Patel VF. Inhibitors of β-Site Amyloid Precursor Protein Cleaving Enzyme (BACE1): Identification of (S)-7-(2-Fluoropyridin-3-yl)-3-((3-methyloxetan-3-yl)ethynyl)-5′H-spiro[chromeno[2,3-b]pyridine-5,4′-oxazol]-2′-amine (AMG-8718). J Med Chem 2014; 57:9811-31. [DOI: 10.1021/jm5012676] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
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Epstein O, Bryan MC, Cheng AC, Derakhchan K, Dineen TA, Hickman D, Hua Z, Human JB, Kreiman C, Marx IE, Weiss MM, Wahl RC, Wen PH, Whittington DA, Wood S, Zheng XM, Fremeau RT, White RD, Patel VF. Lead optimization and modulation of hERG activity in a series of aminooxazoline xanthene β-site amyloid precursor protein cleaving enzyme (BACE1) inhibitors. J Med Chem 2014; 57:9796-810. [PMID: 25389560 DOI: 10.1021/jm501266w] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
The optimization of a series of aminooxazoline xanthene inhibitors of β-site amyloid precursor protein cleaving enzyme 1 (BACE1) is described. An early lead compound showed robust Aβ lowering activity in a rat pharmacodynamic model, but advancement was precluded by a low therapeutic window to QTc prolongation in cardiovascular models consistent with in vitro activity on the hERG ion channel. While the introduction of polar groups was effective in reducing hERG binding affinity, this came at the expense of higher than desired Pgp-mediated efflux. A balance of low Pgp efflux and hERG activity was achieved by lowering the polar surface area of the P3 substituent while retaining polarity in the P2' side chain. The introduction of a fluorine in position 4 of the xanthene ring improved BACE1 potency (5-10-fold). The combination of these optimized fragments resulted in identification of compound 40, which showed robust Aβ reduction in a rat pharmacodynamic model (78% Aβ reduction in CSF at 10 mg/kg po) and also showed acceptable cardiovascular safety in vivo.
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Shepley MM, Smith JA, Sadler BL, White RD. The business case for building better neonatal intensive care units. J Perinatol 2014; 34:811-5. [PMID: 25359412 DOI: 10.1038/jp.2014.174] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 05/05/2014] [Revised: 08/14/2014] [Accepted: 08/19/2014] [Indexed: 02/08/2023]
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White RD, Weir-McCall JR, Budak MJ, Waugh SA, Munnoch DA, Sudarshan TAP. Contrast-enhanced magnetic resonance lymphography in the assessment of lower limb lymphoedema. Clin Radiol 2014; 69:e435-44. [PMID: 25064763 DOI: 10.1016/j.crad.2014.06.007] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2014] [Revised: 06/03/2014] [Accepted: 06/09/2014] [Indexed: 10/25/2022]
Abstract
Chronic lower limb lymphoedema is a debilitating condition that may occur as a primary disorder or secondary to other conditions. Satisfactory visualization of the lymphatic vessels to aid diagnosis and surgical planning has been problematic. Historically, direct lymphography was used to visualize lymphatic vessels, although the significant surgical risks involved led to this being largely abandoned as a technique. Technetium-99m lymphoscintigraphy has been the mainstay of diagnosis for over two decades, but is hampered by inherently poor temporal and spatial resolution and limited anatomical detail. Contrast-enhanced magnetic resonance lymphography (MRL) is a relatively new technique that shows early promise in the evaluation of chronic lymphoedema. This article provides the procedural technique for lower limb MRL at both 1.5 and 3 T, discusses pathophysiology and classifications of lymphoedema, provides an overview of relevant lower limb lymphatic anatomy using MRL imaging, compares the various techniques used in the diagnosis of lower limb lymphoedema, shows common pathological MRL imaging findings, and describes alternative uses of MRL. Utilization of this technique will allow more accurate diagnosis and classification of patients suffering from lymphoedema.
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Chiari L, Duque HV, Jones DB, Thorn PA, Pettifer Z, da Silva GB, Limão-Vieira P, Duflot D, Hubin-Franskin MJ, Delwiche J, Blanco F, García G, Lopes MCA, Ratnavelu K, White RD, Brunger MJ. Differential cross sections for intermediate-energy electron scattering from α-tetrahydrofurfuryl alcohol: excitation of electronic-states. J Chem Phys 2014; 141:024301. [PMID: 25028013 DOI: 10.1063/1.4885856] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We report on measurements of differential cross sections (DCSs) for electron impact excitation of a series of Rydberg electronic-states in α-tetrahydrofurfuryl alcohol (THFA). The energy range of these experiments was 20-50 eV, while the scattered electron was detected in the 10°-90° angular range. There are currently no other experimental data or theoretical computations against which we can directly compare the present measured results. Nonetheless, we are able to compare our THFA DCSs with earlier cross section measurements for Rydberg-state electronic excitation for tetrahydrofuran, a similar cyclic ether, from Do et al. [J. Chem. Phys. 134, 144302 (2011)]. In addition, "rotationally averaged" elastic DCSs, calculated using our independent atom model with screened additivity rule correction approach are also reported. Those latter results give integral cross sections consistent with the optical theorem, and supercede those from the only previous study of Milosavljević et al. [Eur. Phys. J. D 40, 107 (2006)].
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Duque HV, Chiari L, Jones DB, Pettifer Z, da Silva GB, Limão-Vieira P, Blanco F, García G, White RD, Lopes MCA, Brunger MJ. Intermediate-energy differential and integral cross sections for vibrational excitation in α-tetrahydrofurfuryl alcohol. J Chem Phys 2014; 140:214306. [PMID: 24908007 DOI: 10.1063/1.4879779] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023] Open
Abstract
Differential and integral cross section measurements, for incident electron energies in the 20-50 eV range, are reported for excitation of several composite vibrational modes in α-tetrahydrofurfuryl alcohol (THFA). Optimisation and frequency calculations, using GAUSSIAN 09 at the B3LYP/aug-cc-pVDZ level, were also undertaken for the two most abundant conformers of THFA, with results being reported for their respective mode classifications and excitation energies. Those calculations assisted us in the experimental assignments of the composite features observed in our measured energy loss spectra. There are, to the best of our knowledge, no other experimental or theoretical data currently available in the literature against which we can compare the present results.
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Szewczyk-Bieda MJ, White RD, Budak MJ, Ananthakrishnan G, Brunton JN, Sudarshan TA. A whiff of trouble: tumours of the nasal cavity and their mimics. Clin Radiol 2014; 69:519-28. [PMID: 24525221 DOI: 10.1016/j.crad.2013.12.004] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/11/2013] [Revised: 12/06/2013] [Accepted: 12/10/2013] [Indexed: 12/28/2022]
Abstract
A range of disease entities can affect the nasal cavity, often presenting with variable and non-specific symptoms. There is considerable overlap between the clinical and radiological features of neoplastic and non-neoplastic entities. The nasal cavity is often included in routine imaging of the brain, middle ear, skull base, and paranasal sinuses and should be included as a critical review area. The definitive diagnosis is in most cases confirmed by histopathological analysis. However, this review highlights the role of imaging in identifying nasal cavity disease, eliciting features of aggressive or indolent behaviour, and helping to narrow the differential diagnosis, thus facilitating a systematic approach when reviewing the nasal cavity.
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White RD, Holdaway BB, Moody JD, Chang Y. Chronic Caffeine Administration Attenuates Vascular Injury-Induced Neointimal Hyperplasia in Rats. JOURNAL OF CAFFEINE RESEARCH 2013; 3:163-168. [PMID: 24761282 DOI: 10.1089/jcr.2013.0020] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
Background: Inflammation is considered to be a major initiator to angioplasty-induced vascular restenosis. Proinflammatory cytokines stimulate vascular smooth muscle cell (VSMC) migration and proliferation leading to neointimal hyperplasia. It has been reported that chronic caffeine use suppresses the production of proinflammatory cytokine TNF-α (tumor necrosis factor Alpha) and alters adenosine receptor expression in human neutrophils, indicating that caffeine may attenuate vascular injury-induced inflammation and subsequent neointimal hyperplasia. Our current study was designed to test the hypothesis that chronic caffeine treatment decreases vascular injury-induced neointimal hyperplasia by suppressing VSMC migration and proliferation. Methods and Results: The experiments were carried out using both in vivo (rat carotid artery injury model) and in vitro (VSMCs isolated from rat aorta) models. Male Sprague-Dawley rats that received chronic caffeine treatment (10 and 20 mg/kg per day, through oral gavage) showed a significant decrease in neointimal hyperplasia when compared to rats that received vehicle. To understand the underlying mechanisms, we tested if caffeine inhibits fetal bovine serum (FBS)-induced VSMC migration and proliferation. We found that caffeine substantially suppressed FBS-induced VSMC migration and proliferation. The attenuation of FBS-stimulated cell migration is dose dependent. Conclusion: Together, our results suggest that chronic treatment with high concentrations of caffeine attenuates vascular injury-induced neointimal hyperplasia by suppressing smooth muscle cell migration and proliferation in rats.
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White RD, Ingram S, Moss JG, Pace N, Chakraverty S. Mortality reporting in interventional radiology: experience of a pilot audit with the Scottish Audit of Surgical Mortality. Clin Radiol 2013; 68:1065-9. [PMID: 23810694 DOI: 10.1016/j.crad.2013.05.072] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2013] [Revised: 04/28/2013] [Accepted: 05/08/2013] [Indexed: 01/04/2023]
Abstract
AIM To describe the initial pilot phase of the 2009 Scottish Audit of Surgical Mortality (SASM), which includes outcomes and difficulties that arose during any interventional radiology (IR) procedure performed on patients in this audit over an 18 month period. MATERIALS AND METHODS Approximately 40 consultant interventional radiologists from all units in Scotland elected to participate in the audit. Each response was then peer reviewed after anonymisation of the patient and institution. If a relevant ACON (area for consideration or area of concern) was generated, this was checked by one of the other reviewers before communication with the original reporting radiologist and colleagues. There was then a right of reply by the reporting unit before formal documentation was sent out. RESULTS Initial results were analysed after 18 months period, during which time 95 forms relating to deaths of surgical inpatients were sent to interventional radiologists identified as having been involved in an IR procedure at some time during the patient's admission. Seventy-one forms had been returned by July 2010, of which 46 had gone through the entire SASM process. From these, 10 ACONs were attributed. Anonymised case vignettes and reports from these were used as educational tools. CONCLUSION Involvement with SASM is a useful process. Significant safety issues and learning points were identified in the pilot. The majority of ACONs identified by the audit were in patients who had undergone percutaneous biliary interventions.
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Abstract
The objective of the study was to perform a literature review on the health consequences of working rotating shifts and implications for structural design. A literature search was performed in June 2012 and a selection of the most relevant peer-review articles was included in the present review. Shift workers are more likely to suffer from a circadian sleep disorder characterized by sleepiness and insomnia. Shift work is associated with decreased productivity, impaired safety, diminished quality of life and adverse effects on health. Circadian disruption resulting from rotating shift work has also been associated with increased risk for metabolic syndrome, diabetes, cardiovascular disease and cancer. This article summarizes the known health effects of shift work and discusses how light can be used as a countermeasure to minimize circadian disruption at night while maintaining alertness. In the context of the lighted environment, implications for the design of newborn intensive care units are also discussed.
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Abstract
This is the eighth edition of the Recommended Standards for Newborn ICU Design. It contains substantive changes in recommendations for patient room size and feeding preparation areas, and a number of refinements of previous Recommended Standards with respect to family space, hand hygiene, lighting and other aspects of the newborn intensive care unit (NICU) design.
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Mazumder R, Choi S, Raterman B, Clymer BD, Kolipaka A, White RD. Diffusion tensor imaging of formalin fixed infarcted porcine hearts: a comparison between 3T and 1.5T. J Cardiovasc Magn Reson 2013. [PMCID: PMC3560070 DOI: 10.1186/1532-429x-15-s1-w34] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/02/2022] Open
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Ness KF, Robson RE, Brunger MJ, White RD. Transport coefficients and cross sections for electrons in water vapour: comparison of cross section sets using an improved Boltzmann equation solution. J Chem Phys 2012; 136:024318. [PMID: 22260590 DOI: 10.1063/1.3675921] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
This paper revisits the issues surrounding computation of electron transport properties in water vapour as a function of E/n(0) (the ratio of the applied electric field to the water vapour number density) up to 1200 Td. We solve the Boltzmann equation using an improved version of the code of Ness and Robson [Phys. Rev. A 38, 1446 (1988)], facilitating the calculation of transport coefficients to a considerably higher degree of accuracy. This allows a correspondingly more discriminating test of the various electron-water vapour cross section sets proposed by a number of authors, which has become an important issue as such sets are now being applied to study electron driven processes in atmospheric phenomena [P. Thorn, L. Campbell, and M. Brunger, PMC Physics B 2, 1 (2009)] and in modeling charged particle tracks in matter [A. Munoz, F. Blanco, G. Garcia, P. A. Thorn, M. J. Brunger, J. P. Sullivan, and S. J. Buckman, Int. J. Mass Spectrom. 277, 175 (2008)].
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Nicoletopoulos P, Robson RE, White RD. Fluid-model analysis of electron swarms in a space-varying field: nonlocality and resonance phenomena. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:046404. [PMID: 22680583 DOI: 10.1103/physreve.85.046404] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/29/2011] [Indexed: 06/01/2023]
Abstract
The physically based, benchmarked fluid model developed by Robson et al. [R. E. Robson, R. D. White, and Z. Lj. Petrovic, Rev. Mod. Phys. 77, 1303 (2005)] and extended to analyze electron swarms in a spatially homogeneous electric field under conditions corresponding to the Franck-Hertz experiment [P. Nicoletopoulos and R. E. Robson, Phys. Rev. Lett. 100, 124502 (2008)] is generalized to investigate the nonlocal response and resonance phenomena associated with electrons subject to an externally prescribed, spatially varying electrostatic field. Analytic expressions are first derived for the mean velocity, energy, and heat flux of electrons in a harmonically varying field, and expressions are then given for fields with more general spatial dependences. Numerical examples are given for both benchmark model cross sections and a real gas.
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Philippa BW, White RD, Robson RE. Analytic solution of the fractional advection-diffusion equation for the time-of-flight experiment in a finite geometry. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:041138. [PMID: 22181118 DOI: 10.1103/physreve.84.041138] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/30/2011] [Indexed: 05/31/2023]
Abstract
A general analytic solution to the fractional advection diffusion equation is obtained in plane parallel geometry. The result is an infinite series of spatial Fourier modes which decay according to the Mittag-Leffler function, which is cast into a simple closed-form expression in Laplace space using the Poisson summation theorem. An analytic expression for the current measured in a time-of-flight experiment is derived, and the sum of the slopes of the two respective time regimes on logarithmic axes is demonstrated to be -2, in agreement with the well-known result for a continuous time random-walk model. The sensitivity of current and particle number density to the variation of experimentally controlled parameters is investigated in general, and the results applied to analyze selected experimental data.
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White RD, Robson RE. Multiterm solution of a generalized Boltzmann kinetic equation for electron and positron transport in structured and soft condensed matter. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:031125. [PMID: 22060346 DOI: 10.1103/physreve.84.031125] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2011] [Revised: 08/04/2011] [Indexed: 05/31/2023]
Abstract
In this paper, we generalize the semiclassical Boltzmann kinetic equation for dilute gases to consider highly nonequilibrium electrons and positrons in soft condensed matter, accounting rigorously for all types of interactions, including positronium formation, and allowing for both coherent and incoherent scattering processes. The limitations inherent in the seminal paper of Cohen and Lekner [M. H. Cohen and J. Lekner, Phys. Rev. 158, 305 (1967); Y. Sakai, J. Phys. D 40, R441 (2007)] are avoided by solving the kinetic equation using a "multiterm" spherical harmonic representation of the velocity distribution function, as well as formulating a necessarily nonperturbative treatment of nonconservative collisional processes such as positronium formation. Numerical calculations of transport properties are carried out for a Percus-Yevick model of a hard-sphere system, and for positrons in liquid argon. New phenomena are predicted, including structure-induced negative conductivity and anisotropic diffusion.
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