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  • Closed Access
    Authors: 
    Joel B. Epstein; Crispian Scully;
    Publisher: Elsevier BV

    The clinical findings of patients with oral Kaposi's sarcoma are reviewed. These oral findings commonly included candidiasis, hairy leukoplakia, gingivitis associated with human immunodeficiency virus (HIV), periodontitis, and other symptoms, including xerostomia. The other common symptoms of HIV disease that may be of importance in leading to a diagnosis are reviewed in this patient group. Treatment by local radiotherapy or by intralesional vinblastine of these oral Kaposi's sarcomas resulted in successful palliation, with more than 50% regression of the lesions in 80% of the patients treated.

  • Publication . Conference object . Preprint . Article . Part of book or chapter of book . 2010
    Open Access English
    Authors: 
    Britt Reichborn-Kjennerud; Asad M. Aboobaker; Peter A. R. Ade; François Aubin; Carlo Baccigalupi; Chaoyun Bao; Julian Borrill; Christopher Cantalupo; Daniel Chapman; Joy Didier; +36 more
    Countries: United States, France, France, France, France

    EBEX is a NASA-funded balloon-borne experiment designed to measure the polarization of the cosmic microwave background (CMB). Observations will be made using 1432 transition edge sensor (TES) bolometric detectors read out with frequency multiplexed SQuIDs. EBEX will observe in three frequency bands centered at 150, 250, and 410 GHz, with 768, 384, and 280 detectors in each band, respectively. This broad frequency coverage is designed to provide valuable information about polarized foreground signals from dust. The polarized sky signals will be modulated with an achromatic half wave plate (AHWP) rotating on a superconducting magnetic bearing (SMB) and analyzed with a fixed wire grid polarizer. EBEX will observe a patch covering ~1% of the sky with 8' resolution, allowing for observation of the angular power spectrum from \ell = 20 to 1000. This will allow EBEX to search for both the primordial B-mode signal predicted by inflation and the anticipated lensing B-mode signal. Calculations to predict EBEX constraints on r using expected noise levels show that, for a likelihood centered around zero and with negligible foregrounds, 99% of the area falls below r = 0.035. This value increases by a factor of 1.6 after a process of foreground subtraction. This estimate does not include systematic uncertainties. An engineering flight was launched in June, 2009, from Ft. Sumner, NM, and the long duration science flight in Antarctica is planned for 2011. These proceedings describe the EBEX instrument and the North American engineering flight. 12 pages, 9 figures, Conference proceedings for SPIE Millimeter, Submillimeter, and Far-Infrared Detectors and Instrumentation for Astronomy V (2010)

  • Authors: 
    Haonan Wang; Fan Luo; Mohamed Ibrahim; Onur Kayiran; Adwait Jog;
    Publisher: IEEE

    Managing the thread-level parallelism (TLP) of GPGPU applications by limiting it to a certain degree is known to be effective in improving the overall performance. However, we find that such prior techniques can lead to sub-optimal system throughput and fairness when two or more applications are co-scheduled on the same GPU. It is because they attempt to maximize the performance of individual applications in isolation, ultimately allowing each application to take a disproportionate amount of shared resources. This leads to high contention in shared cache and memory. To address this problem, we propose new application-aware TLP management techniques for a multi-application execution environment such that all co-scheduled applications can make good and judicious use of all the shared resources. For measuring such use, we propose an application-level utility metric, called effective bandwidth, which accounts for two runtime metrics: attained DRAM bandwidth and cache miss rates. We find that maximizing the total effective bandwidth and doing so in a balanced fashion across all co-located applications can significantly improve the system throughput and fairness. Instead of exhaustively searching across all the different combinations of TLP configurations that achieve these goals, we find that a significant amount of overhead can be reduced by taking advantage of the trends, which we call patterns, in the way application's effective bandwidth changes with different TLP combinations. Our proposed pattern-based TLP management mechanisms improve the system throughput and fairness by 20% and 2x, respectively, over a baseline where each application executes with a TLP configuration that provides the best performance when it executes alone.

  • Closed Access
    Authors: 
    Gifty Gyamah Nyante; Christine Carpenter;

    Aim This study aims to explore the experiences of carers of children with cerebral palsy living in rural areas of Ghana who have received no rehabilitation services. Background Cerebral palsy is the most common chronic disability from childhood, which needs lifelong rehabilitation. Most of the population living in rural communities in Ghana have virtually no form of rehabilitation services for their chronic disabling conditions. Caring for children with disability are known to be challenging especially when coupled with environmental challenges in rural communities. Results Purposive and snowball techniques were used to recruit 12 carers, age 22 to 68 years, of children with cerebral palsy aged 7 to 15 years. Two main themes, developing personal beliefs to support the caregiving role and the demands that shape the experience of caring, emerged from six subthemes and 25 theme clusters of the narratives of the carers. The essential structure of the phenomenon demonstrated the complex interaction of personal and environmental factors in harmony with the actual demands to influence the experiences of participants positively or negatively. Positively, carers achieved coping, committed to caring, hoped for the future, and accepted the condition. However, negatively, carers described the triggering factors of feeling of despair and sorrow as frustration and lack of understanding of the condition, felt stigmatized, and perceived the child was going through pain and suffering. Conclusions Carers derived strength from their religious and spiritual beliefs to balance the demands of caregiving. Findings could be used as basis for developing interventions to support carers and inform new strategies for rehabilitation service and sensitization of community members about inclusion of children with disabilities.

  • Authors: 
    Maneeshin Y. Rajapakse; John A. Stone; Gary A. Eiceman;
    Publisher: American Chemical Society (ACS)

    A dual-shutter ion mobility spectrometer operating at atmospheric pressure and interfaced to a gas chromatograph for sample introduction has been used to study the reaction of Cl(-) with explosives. Of particular interest was an investigation of the formation of NO3(-) from the reaction of the Cl(-) with nitroglycerin (NG). The adduct NG·Cl(-) together with NO3(-) and NG·NO3(-) compose the mobility spectrum. Over the temperature range 111 to 122 °C, NG·NO3(-) is stable, but NG·Cl(-) decomposes to NO3(-) and 1,2-dinitro-3-chloropropane (DNClP). The activation energy and pre-exponential factor for this first order decomposition are 80 ± 3 kJ mol(-1) and 1.3 × 10(12) s(-1), respectively. Ab initio calculation shows that the reaction is a substitution reaction occurring over a two well potential energy profile with stable ion-molecule complexes NG·Cl(-) and DNClP·NO3(-).

  • Closed Access
    Authors: 
    Deborah A. Payne; Stephen K. Tyring; Mark G. Doherty; Dean Daya; Teh Sheng Chan;
    Publisher: Elsevier BV

    Chronic benign plasma cell tumor of the cervix, also called chronic plasma cell cervicitis, is a rare disease of unknown etiology, characterized by a heavy infiltration of plasma cells forming granulation tissue. To identify infectious agents associated with this disease, we extracted and analyzed DNA from the 17-year-old paraffin section of the original case report and from granulation tissue surgically removed from a patient at our institution with a chronic benign plasma cell tumor. The DNA from both patients was shown by a polymerase chain reaction (PCR) technique to contain a human papillomavirus 16 (HPV 16) sequence. Genomic Southern analysis of the fresh-frozen tissue confirmed the initial PCR finding. In situ hybridization further demonstrated that the HPV 16 was present in the plasma cells and not a contaminant from the surrounding epithelial tissue. The etiological role of HPV 16, an oncogenic virus associated with cervical carcinoma, in this disease is not yet clear. Our results, however, suggest that the types of cells that are infected by HPV may include cells of lymphoid origin, and that HPV may be associated with chronic benign plasma cell tumors of the cervix.

  • Authors: 
    Julia Müller; Anke Karl; Claudia Denke; Fabienne Mathier; Jennifer Dittmann; Nicolas Rohleder; Christine Knaevelsrud;
    Publisher: Informa UK Limited

    Chronic pain (CP) and posttraumatic stress disorder (PTSD) are both frequent and often comorbid in refugees. To date, few controlled trials have studied the efficacy of treatments targeting this comorbidity; no treatment guidelines yet exist. The authors examined the feasibility and efficacy of short-term cognitive behavioural biofeedback (BF) addressing CP in traumatised refugees. The sample comprised 11 severely traumatised refugees with CP and PTSD (mean age = 36 years, SD = 6), who underwent assessment with the Mini International Neuropsychiatric Interview, Posttraumatic Diagnostic Scale, Pain Disability Index, and Visual Rating Scale. Additionally, coping with pain and psychotherapy tolerance were assessed. Acceptance of BF was high. Pre-post effects were small to medium for increased pain management and associated heart rate reactivity but large for coping with pain. The results encourage further research to confirm whether BF is indicated as a treatment component, but not a stand-alone treatment, for traumatised refugees with comorbid CP and PTSD.

  • Open Access English
    Authors: 
    Nicky J. Newton; Jamila Bookwala;
    Publisher: Oxford University Press

    Abstract Models of aging, such as the successful aging framework outlined by Rowe & Kahn (1987; 2015) should be holistic, necessitating the inclusion of health, psychosocial factors, and social connectedness. Even at the oldest ages, life expectancy and rates of survival are increasing, yet these longer lives are accompanied with disease and disability, especially among women (Crimmins & Beltrán-Sánchez, 2010); thus, maximizing health and well-being during these post-retirement years, which can often span decades, is a high priority. However, models of age-related change, such as those relating to age-related transitions, are predominantly based on men’s experiences; less is known about how women navigate later life (Calasanti, 2010; Kim & Moen, 2002). The presentations in this symposium provide quantitative and qualitative data from women of a broad age range concerning their experiences of aging, with the shared theme of social relationships. Sherman examines the relationship between personality and social support for well-being outcomes in Native American, African American, and European American women (Mage = 57). Conceptualizing aging as the quintessential life transition, Newton outlines the diverse themes of physical, psychological, and social aging from interviews with older women (Mage = 72). Fuller and Toyama find that for older women (Mage = 80), friendships mattered more than family, and counting on neighbors could even be detrimental in terms of life satisfaction and stress. Taken together, these presentations provide a varied picture of what it means for women to ‘age well’, suggesting nuanced ways in which we might conceptualize theories of aging for women.

  • Closed Access
    Authors: 
    R. Knystautas; John H.S. Lee; Joseph E. Shepherd; Andrzej Teodorczyk;
    Publisher: Elsevier BV

    Abstract We report results on flame acceleration and transition to detonation of benzene–air mixtures at room temperature. Flame acceleration experiments were carried out in a 150-mm-diameter, 3.6-m-long steel tube. The entire length of the tube is filled with circular orifice plates (blockage or obstructed area ratio of 0.43) spaced one diameter apart. The fuel concentration was varied between 1.7% and 5% by volume of benzene in the fuel–air mixture. Three regimes of propagation were observed: (1) a turbulent deflagration with typical flame speeds less than 100 m/s, (2) a “choking” regime with the flame speed corresponding to the speed of sound of the combustion products, 700 to 900 m/s, and (3) a quasi-detonation regime with a wave speed ranging from 50% to 100% of the Chapman-Jouguet value. Transition from turbulent deflagration to the choking regime occurs at an equivalence ratio of Φ = 0.65 (1.8% C6H6) and Φ = 1.8 (4.8% C6H6) on the lean and rich sides, respectively. Transition from the choking to the quasi-detonation regime is observed at Φ = 0.88 (2.4% C6H6) on the lean side and Φ = 1.6 (4.3% C6H6) on the rich side. Detonation cell widths were measured using a small charge (8 to 50 g) of solid explosive for direct initiation of the detonation in both the 150-mm-diameter tube and a larger 300-mm-diameter, 18-m-long, steel tube. Sooted foils are used for determining the cell size, which was 66 mm for a stoichiometric composition. A detailed chemical reaction scheme was used to carry out numerical solutions of the idealized Zel’dovich–von Neumann–Doring (ZND) model. The cell widths were approximately 20 times larger than the computed reaction zone lengths. The ZND model was used to examine the effects of initial temperature and dilution by steam and nitrogen, and the effects of adding hydrogen.

  • Open Access
    Authors: 
    Lars Ruthotto; Eldad Haber;
    Publisher: Springer Science and Business Media LLC
    Project: NSF | Fast Algorithms for Solvi... (1522599)

    Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of multivariate functions and the output of image processing algorithms as solutions to certain PDEs. Posing image processing problems in the infinite dimensional setting provides powerful tools for their analysis and solution. Over the last few decades, the reinterpretation of classical image processing problems through the PDE lens has been creating multiple celebrated approaches that benefit a vast area of tasks including image segmentation, denoising, registration, and reconstruction. In this paper, we establish a new PDE-interpretation of a class of deep convolutional neural networks (CNN) that are commonly used to learn from speech, image, and video data. Our interpretation includes convolution residual neural networks (ResNet), which are among the most promising approaches for tasks such as image classification having improved the state-of-the-art performance in prestigious benchmark challenges. Despite their recent successes, deep ResNets still face some critical challenges associated with their design, immense computational costs and memory requirements, and lack of understanding of their reasoning. Guided by well-established PDE theory, we derive three new ResNet architectures that fall into two new classes: parabolic and hyperbolic CNNs. We demonstrate how PDE theory can provide new insights and algorithms for deep learning and demonstrate the competitiveness of three new CNN architectures using numerical experiments. 9 pages, 4 figures, 1 table

Include:
487,718 Research products, page 1 of 48,772
  • Closed Access
    Authors: 
    Joel B. Epstein; Crispian Scully;
    Publisher: Elsevier BV

    The clinical findings of patients with oral Kaposi's sarcoma are reviewed. These oral findings commonly included candidiasis, hairy leukoplakia, gingivitis associated with human immunodeficiency virus (HIV), periodontitis, and other symptoms, including xerostomia. The other common symptoms of HIV disease that may be of importance in leading to a diagnosis are reviewed in this patient group. Treatment by local radiotherapy or by intralesional vinblastine of these oral Kaposi's sarcomas resulted in successful palliation, with more than 50% regression of the lesions in 80% of the patients treated.

  • Publication . Conference object . Preprint . Article . Part of book or chapter of book . 2010
    Open Access English
    Authors: 
    Britt Reichborn-Kjennerud; Asad M. Aboobaker; Peter A. R. Ade; François Aubin; Carlo Baccigalupi; Chaoyun Bao; Julian Borrill; Christopher Cantalupo; Daniel Chapman; Joy Didier; +36 more
    Countries: United States, France, France, France, France

    EBEX is a NASA-funded balloon-borne experiment designed to measure the polarization of the cosmic microwave background (CMB). Observations will be made using 1432 transition edge sensor (TES) bolometric detectors read out with frequency multiplexed SQuIDs. EBEX will observe in three frequency bands centered at 150, 250, and 410 GHz, with 768, 384, and 280 detectors in each band, respectively. This broad frequency coverage is designed to provide valuable information about polarized foreground signals from dust. The polarized sky signals will be modulated with an achromatic half wave plate (AHWP) rotating on a superconducting magnetic bearing (SMB) and analyzed with a fixed wire grid polarizer. EBEX will observe a patch covering ~1% of the sky with 8' resolution, allowing for observation of the angular power spectrum from \ell = 20 to 1000. This will allow EBEX to search for both the primordial B-mode signal predicted by inflation and the anticipated lensing B-mode signal. Calculations to predict EBEX constraints on r using expected noise levels show that, for a likelihood centered around zero and with negligible foregrounds, 99% of the area falls below r = 0.035. This value increases by a factor of 1.6 after a process of foreground subtraction. This estimate does not include systematic uncertainties. An engineering flight was launched in June, 2009, from Ft. Sumner, NM, and the long duration science flight in Antarctica is planned for 2011. These proceedings describe the EBEX instrument and the North American engineering flight. 12 pages, 9 figures, Conference proceedings for SPIE Millimeter, Submillimeter, and Far-Infrared Detectors and Instrumentation for Astronomy V (2010)

  • Authors: 
    Haonan Wang; Fan Luo; Mohamed Ibrahim; Onur Kayiran; Adwait Jog;
    Publisher: IEEE

    Managing the thread-level parallelism (TLP) of GPGPU applications by limiting it to a certain degree is known to be effective in improving the overall performance. However, we find that such prior techniques can lead to sub-optimal system throughput and fairness when two or more applications are co-scheduled on the same GPU. It is because they attempt to maximize the performance of individual applications in isolation, ultimately allowing each application to take a disproportionate amount of shared resources. This leads to high contention in shared cache and memory. To address this problem, we propose new application-aware TLP management techniques for a multi-application execution environment such that all co-scheduled applications can make good and judicious use of all the shared resources. For measuring such use, we propose an application-level utility metric, called effective bandwidth, which accounts for two runtime metrics: attained DRAM bandwidth and cache miss rates. We find that maximizing the total effective bandwidth and doing so in a balanced fashion across all co-located applications can significantly improve the system throughput and fairness. Instead of exhaustively searching across all the different combinations of TLP configurations that achieve these goals, we find that a significant amount of overhead can be reduced by taking advantage of the trends, which we call patterns, in the way application's effective bandwidth changes with different TLP combinations. Our proposed pattern-based TLP management mechanisms improve the system throughput and fairness by 20% and 2x, respectively, over a baseline where each application executes with a TLP configuration that provides the best performance when it executes alone.

  • Closed Access
    Authors: 
    Gifty Gyamah Nyante; Christine Carpenter;

    Aim This study aims to explore the experiences of carers of children with cerebral palsy living in rural areas of Ghana who have received no rehabilitation services. Background Cerebral palsy is the most common chronic disability from childhood, which needs lifelong rehabilitation. Most of the population living in rural communities in Ghana have virtually no form of rehabilitation services for their chronic disabling conditions. Caring for children with disability are known to be challenging especially when coupled with environmental challenges in rural communities. Results Purposive and snowball techniques were used to recruit 12 carers, age 22 to 68 years, of children with cerebral palsy aged 7 to 15 years. Two main themes, developing personal beliefs to support the caregiving role and the demands that shape the experience of caring, emerged from six subthemes and 25 theme clusters of the narratives of the carers. The essential structure of the phenomenon demonstrated the complex interaction of personal and environmental factors in harmony with the actual demands to influence the experiences of participants positively or negatively. Positively, carers achieved coping, committed to caring, hoped for the future, and accepted the condition. However, negatively, carers described the triggering factors of feeling of despair and sorrow as frustration and lack of understanding of the condition, felt stigmatized, and perceived the child was going through pain and suffering. Conclusions Carers derived strength from their religious and spiritual beliefs to balance the demands of caregiving. Findings could be used as basis for developing interventions to support carers and inform new strategies for rehabilitation service and sensitization of community members about inclusion of children with disabilities.

  • Authors: 
    Maneeshin Y. Rajapakse; John A. Stone; Gary A. Eiceman;
    Publisher: American Chemical Society (ACS)

    A dual-shutter ion mobility spectrometer operating at atmospheric pressure and interfaced to a gas chromatograph for sample introduction has been used to study the reaction of Cl(-) with explosives. Of particular interest was an investigation of the formation of NO3(-) from the reaction of the Cl(-) with nitroglycerin (NG). The adduct NG·Cl(-) together with NO3(-) and NG·NO3(-) compose the mobility spectrum. Over the temperature range 111 to 122 °C, NG·NO3(-) is stable, but NG·Cl(-) decomposes to NO3(-) and 1,2-dinitro-3-chloropropane (DNClP). The activation energy and pre-exponential factor for this first order decomposition are 80 ± 3 kJ mol(-1) and 1.3 × 10(12) s(-1), respectively. Ab initio calculation shows that the reaction is a substitution reaction occurring over a two well potential energy profile with stable ion-molecule complexes NG·Cl(-) and DNClP·NO3(-).

  • Closed Access
    Authors: 
    Deborah A. Payne; Stephen K. Tyring; Mark G. Doherty; Dean Daya; Teh Sheng Chan;
    Publisher: Elsevier BV

    Chronic benign plasma cell tumor of the cervix, also called chronic plasma cell cervicitis, is a rare disease of unknown etiology, characterized by a heavy infiltration of plasma cells forming granulation tissue. To identify infectious agents associated with this disease, we extracted and analyzed DNA from the 17-year-old paraffin section of the original case report and from granulation tissue surgically removed from a patient at our institution with a chronic benign plasma cell tumor. The DNA from both patients was shown by a polymerase chain reaction (PCR) technique to contain a human papillomavirus 16 (HPV 16) sequence. Genomic Southern analysis of the fresh-frozen tissue confirmed the initial PCR finding. In situ hybridization further demonstrated that the HPV 16 was present in the plasma cells and not a contaminant from the surrounding epithelial tissue. The etiological role of HPV 16, an oncogenic virus associated with cervical carcinoma, in this disease is not yet clear. Our results, however, suggest that the types of cells that are infected by HPV may include cells of lymphoid origin, and that HPV may be associated with chronic benign plasma cell tumors of the cervix.

  • Authors: 
    Julia Müller; Anke Karl; Claudia Denke; Fabienne Mathier; Jennifer Dittmann; Nicolas Rohleder; Christine Knaevelsrud;
    Publisher: Informa UK Limited

    Chronic pain (CP) and posttraumatic stress disorder (PTSD) are both frequent and often comorbid in refugees. To date, few controlled trials have studied the efficacy of treatments targeting this comorbidity; no treatment guidelines yet exist. The authors examined the feasibility and efficacy of short-term cognitive behavioural biofeedback (BF) addressing CP in traumatised refugees. The sample comprised 11 severely traumatised refugees with CP and PTSD (mean age = 36 years, SD = 6), who underwent assessment with the Mini International Neuropsychiatric Interview, Posttraumatic Diagnostic Scale, Pain Disability Index, and Visual Rating Scale. Additionally, coping with pain and psychotherapy tolerance were assessed. Acceptance of BF was high. Pre-post effects were small to medium for increased pain management and associated heart rate reactivity but large for coping with pain. The results encourage further research to confirm whether BF is indicated as a treatment component, but not a stand-alone treatment, for traumatised refugees with comorbid CP and PTSD.

  • Open Access English
    Authors: 
    Nicky J. Newton; Jamila Bookwala;
    Publisher: Oxford University Press

    Abstract Models of aging, such as the successful aging framework outlined by Rowe & Kahn (1987; 2015) should be holistic, necessitating the inclusion of health, psychosocial factors, and social connectedness. Even at the oldest ages, life expectancy and rates of survival are increasing, yet these longer lives are accompanied with disease and disability, especially among women (Crimmins & Beltrán-Sánchez, 2010); thus, maximizing health and well-being during these post-retirement years, which can often span decades, is a high priority. However, models of age-related change, such as those relating to age-related transitions, are predominantly based on men’s experiences; less is known about how women navigate later life (Calasanti, 2010; Kim & Moen, 2002). The presentations in this symposium provide quantitative and qualitative data from women of a broad age range concerning their experiences of aging, with the shared theme of social relationships. Sherman examines the relationship between personality and social support for well-being outcomes in Native American, African American, and European American women (Mage = 57). Conceptualizing aging as the quintessential life transition, Newton outlines the diverse themes of physical, psychological, and social aging from interviews with older women (Mage = 72). Fuller and Toyama find that for older women (Mage = 80), friendships mattered more than family, and counting on neighbors could even be detrimental in terms of life satisfaction and stress. Taken together, these presentations provide a varied picture of what it means for women to ‘age well’, suggesting nuanced ways in which we might conceptualize theories of aging for women.

  • Closed Access
    Authors: 
    R. Knystautas; John H.S. Lee; Joseph E. Shepherd; Andrzej Teodorczyk;
    Publisher: Elsevier BV

    Abstract We report results on flame acceleration and transition to detonation of benzene–air mixtures at room temperature. Flame acceleration experiments were carried out in a 150-mm-diameter, 3.6-m-long steel tube. The entire length of the tube is filled with circular orifice plates (blockage or obstructed area ratio of 0.43) spaced one diameter apart. The fuel concentration was varied between 1.7% and 5% by volume of benzene in the fuel–air mixture. Three regimes of propagation were observed: (1) a turbulent deflagration with typical flame speeds less than 100 m/s, (2) a “choking” regime with the flame speed corresponding to the speed of sound of the combustion products, 700 to 900 m/s, and (3) a quasi-detonation regime with a wave speed ranging from 50% to 100% of the Chapman-Jouguet value. Transition from turbulent deflagration to the choking regime occurs at an equivalence ratio of Φ = 0.65 (1.8% C6H6) and Φ = 1.8 (4.8% C6H6) on the lean and rich sides, respectively. Transition from the choking to the quasi-detonation regime is observed at Φ = 0.88 (2.4% C6H6) on the lean side and Φ = 1.6 (4.3% C6H6) on the rich side. Detonation cell widths were measured using a small charge (8 to 50 g) of solid explosive for direct initiation of the detonation in both the 150-mm-diameter tube and a larger 300-mm-diameter, 18-m-long, steel tube. Sooted foils are used for determining the cell size, which was 66 mm for a stoichiometric composition. A detailed chemical reaction scheme was used to carry out numerical solutions of the idealized Zel’dovich–von Neumann–Doring (ZND) model. The cell widths were approximately 20 times larger than the computed reaction zone lengths. The ZND model was used to examine the effects of initial temperature and dilution by steam and nitrogen, and the effects of adding hydrogen.

  • Open Access
    Authors: 
    Lars Ruthotto; Eldad Haber;
    Publisher: Springer Science and Business Media LLC
    Project: NSF | Fast Algorithms for Solvi... (1522599)

    Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of multivariate functions and the output of image processing algorithms as solutions to certain PDEs. Posing image processing problems in the infinite dimensional setting provides powerful tools for their analysis and solution. Over the last few decades, the reinterpretation of classical image processing problems through the PDE lens has been creating multiple celebrated approaches that benefit a vast area of tasks including image segmentation, denoising, registration, and reconstruction. In this paper, we establish a new PDE-interpretation of a class of deep convolutional neural networks (CNN) that are commonly used to learn from speech, image, and video data. Our interpretation includes convolution residual neural networks (ResNet), which are among the most promising approaches for tasks such as image classification having improved the state-of-the-art performance in prestigious benchmark challenges. Despite their recent successes, deep ResNets still face some critical challenges associated with their design, immense computational costs and memory requirements, and lack of understanding of their reasoning. Guided by well-established PDE theory, we derive three new ResNet architectures that fall into two new classes: parabolic and hyperbolic CNNs. We demonstrate how PDE theory can provide new insights and algorithms for deep learning and demonstrate the competitiveness of three new CNN architectures using numerical experiments. 9 pages, 4 figures, 1 table