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        ON THE EQUATION (5<sup>m</sup> - 1) = 5<sup>n</sup> - 1

        Faye, Bernadette,Luca, Florian,Tall, Amadou Korean Mathematical Society 2015 대한수학회보 Vol.52 No.2

        Here, we show that the title equation has no positive integer solutions (m, n), where ${\phi}$ is the Euler function.

      • KCI등재

        ON THE EQUATION Φ(5m − 1) = 5ⁿ − 1

        Bernadette Faye,Florian Luca,Amadou Tall 대한수학회 2015 대한수학회보 Vol.52 No.2

        Here, we show that the title equation has no positive integer solutions (m, n), where Φ is the Euler function.

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        Fabrication of Polymerase Chain Reaction Plastic Lab-on-a-Chip Device for Rapid Molecular Diagnoses

        Kieu The Loan Trinh,Hainan Zhang,강동진,강성현,Ben D. Tall,이내윤 대한배뇨장애요실금학회 2016 International Neurourology Journal Vol.20 No.S1

        Purpose: We aim to fabricate a thermoplastic poly(methylmethacrylate) (PMMA) Lab-on-a-Chip device to perform continuous- flow polymerase chain reactions (PCRs) for rapid molecular detection of foodborne pathogen bacteria. Methods: A miniaturized plastic device was fabricated by utilizing PMMA substrates mediated by poly(dimethylsiloxane) interfacial coating, enabling bonding under mild conditions, and thus avoiding the deformation or collapse of microchannels. Surface characterizations were carried out and bond strength was measured. The feasibility of the Lab-on-a-Chip device for performing on-chip PCR utilizing a lab-made, portable dual heater was evaluated. The results were compared with those obtained using a commercially available thermal cycler. Results: A PMMA Lab-on-a-Chip device was designed and fabricated for conducting PCR using foodborne pathogens as sample targets. A robust bond was established between the PMMA substrates, which is essential for performing miniaturized PCR on plastic. The feasibility of on-chip PCR was evaluated using Escherichia coli O157:H7 and Cronobacter condimenti, two worldwide foodborne pathogens, and the target amplicons were successfully amplified within 25 minutes. Conclusions: In this study, we present a novel design of a low-cost and high-throughput thermoplastic PMMA Lab-on-a- Chip device for conducting microscale PCR, and we enable rapid molecular diagnoses of two important foodborne pathogens in minute resolution using this device. In this regard, the introduced highly portable system design has the potential to enable PCR investigations of many diseases quickly and accurately.

      • SCIESCOPUSKCI등재

        Fabrication of Polymerase Chain Reaction Plastic Lab-on-a-Chip Device for Rapid Molecular Diagnoses

        Trinh, Kieu The Loan,Zhang, Hainan,Kang, Dong-Jin,Kahng, Sung-Hyun,Tall, Ben D.,Lee, Nae Yoon Korean Continence Society 2016 International Neurourology Journal Vol.20 No.1

        <P><B>Purpose:</B></P><P>We aim to fabricate a thermoplastic poly(methylmethacrylate) (PMMA) Lab-on-a-Chip device to perform continuous- flow polymerase chain reactions (PCRs) for rapid molecular detection of foodborne pathogen bacteria.</P><P><B>Methods:</B></P><P>A miniaturized plastic device was fabricated by utilizing PMMA substrates mediated by poly(dimethylsiloxane) interfacial coating, enabling bonding under mild conditions, and thus avoiding the deformation or collapse of microchannels. Surface characterizations were carried out and bond strength was measured. The feasibility of the Lab-on-a-Chip device for performing on-chip PCR utilizing a lab-made, portable dual heater was evaluated. The results were compared with those obtained using a commercially available thermal cycler.</P><P><B>Results:</B></P><P>A PMMA Lab-on-a-Chip device was designed and fabricated for conducting PCR using foodborne pathogens as sample targets. A robust bond was established between the PMMA substrates, which is essential for performing miniaturized PCR on plastic. The feasibility of on-chip PCR was evaluated using <I>Escherichia coli</I> O157:H7 and <I>Cronobacter condimenti</I>, two worldwide foodborne pathogens, and the target amplicons were successfully amplified within 25 minutes.</P><P><B>Conclusions:</B></P><P>In this study, we present a novel design of a low-cost and high-throughput thermoplastic PMMA Lab-on-a-Chip device for conducting microscale PCR, and we enable rapid molecular diagnoses of two important foodborne pathogens in minute resolution using this device. In this regard, the introduced highly portable system design has the potential to enable PCR investigations of many diseases quickly and accurately.</P>

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