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        Time-dependent phonon-assisted tunneling through a single-molecular device: Ricatti matrix approach

        Oymak, H.,Shin, D.,Hong, J. Editions de Physique 2007 Europhysics letters Vol.77 No.3

        <P>We study a tight-binding model to capture the essence of resonant transport of an electron through a single quantum-dot in the presence of both a time-periodic potential and phonon degrees of freedom. In order to solve the time-dependent Schrödinger equation we use a non-perturbative pruning technique, called Ricatti matrix method, which combines the tight-binding scheme and the Floquet theory into a two-point recursive matrix equation. Its simple-to-comprehend and easy-to-implement properties, and its capability of producing essentially exact numerical results render Ricatti matrix method promising for studying more complicated similar systems.</P>

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        Phonon–photon-assisted tunnelling through an Aharonov–Bohm ring

        Shin, Dongkwan,Oymak, H?seyin,Hong, Jongbae IOP Pub 2007 Journal of Physics, Condensed Matter Vol.19 No.22

        <P>We model a four-site tight-binding Aharonov–Bohm?(AB) ring whose sites house dispersionless Einstein phonons. The resonant tunnelling of an electron through the?AB ring in the presence of a time-periodic magnetic flux which threads the ring is investigated. The Floquet scattering approach is followed within the electron–phonon Fock space. The Ricatti matrix method, a nonperturbative pruning technique, is utilized to extract the transmission properties of the system from the time-dependent Schr?dinger equation. We observe additional satellite peaks in the total transmission graphs representing the photon-assisted tunnelling, as well as side resonances due to the phonon-assisted tunnelling. There happen to exist unusually stiff main transmission peaks that are not disturbed by the strong time-periodic magnetic flux, a finding attributed to the geometric characteristics of the?AB ring.</P>

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        Correlation of Conventional and Conformal Plan Parameters for Predicting Radiation Pneumonitis in Patients Treated with Breast Cancer

        Cem Onal,Ezgi Oymak,Ayse Kotek,Esma Efe,Gungor Arslan 한국유방암학회 2012 Journal of breast cancer Vol.15 No.3

        Purpose: The purpose of this study is to evaluate the correlation between the conventional plan parameters and dosimetric parameters obtained from conformal radiotherapy (RT) planning, and between these parameters and radiation pneumontitis (RP) incidence. Methods: Clinical and dosimetric data of 122 patients that were treated with mastectomy and adjuvant 3D conformal RT (39% received 2-field RT [2-FRT], and in addition, 61% received 4-field RT [4-FRT]) were retrospectively analyzed. Central lung depth (CLD), maximum lung depth (MLD), and lung length were measured by the conventional plan. Lung dose-volume histograms (DVH) were created with conformal planning, and the lung volumes receiving 5 to 50 Gy (V5Gy to V50Gy) were calculated. Minimum (Dmin), maximum (Dmax), and mean doses (Dmean) for the ipsilateral lung and bilateral lungs were measured by DVH. Correlations between 3D dosimetric data and 2D radiographic parameters were analyzed. Results: The conventional plan parameters did not significantly differ between 2-FRT and 4-FRT. The conformal plan Dmin, Dmax, and Dmean values were higher in 4-FRT versus 2-FRT. CLD and MLD were correlated with DVH parameter V5Gy to V45Gy values for ipsilateral, as well as bilateral lungs for 2-FRT. MLD and ipsilateral Dmean via 2-FRT planning had the strongest positive correlation (r=0.76, p<0.01). Moderate correlations existed between CLD and ipsilateral and bilateral lung V5Gy–45Gy, and between MLD and bilateral lung V5Gy–45Gy values in 2-FRT. Only four patients developed symptomatic RP, 4 with 4-FRT and one with 2-FRT. Conclusion: The conformal plan parameters were strongly correlated with dose-volume parameters for breast 2-FRT. With only 4 cases of Grade 3 RP observed, our study is limited in its ability to provide definitive guidance, however assuming that CLD is an indicator for RP, V20Gy could be used as a predictor for RP and for 2-FRT. A welldefined parameters are still required to predict RP in 4-FRT.

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