A solution to the reparametrization of Bézier curves by sine transformation of Bemstein basis is presented. The new effective reparametrization method is given through the following procedures: educing Sine Bems...A solution to the reparametrization of Bézier curves by sine transformation of Bemstein basis is presented. The new effective reparametrization method is given through the following procedures: educing Sine Bemstein-Bézier Class-SBBC function, defining SBBC curve and discussing the relation between SBBC and Bézier curve.展开更多
<strong>Background:</strong><span style="font-family:""><span style="font-family:Verdana;"> Breast cancer is the most common cancer diagnosed worldwide, synchronous bil...<strong>Background:</strong><span style="font-family:""><span style="font-family:Verdana;"> Breast cancer is the most common cancer diagnosed worldwide, synchronous bilateral breast cancer accounts for </span><span style="font-family:Verdana;">unique</span><span style="font-family:Verdana;"> entity of the disease, particularly post-operative radiotherapy for Synchronous Bilateral Breast Cancer (SBBC) is challenging with </span><span style="font-family:Verdana;">lack</span><span style="font-family:Verdana;"> of evidence about the best irradiation technique. In this </span><span style="font-family:Verdana;">study</span></span><span style="font-family:Verdana;">,</span><span style="font-family:""><span style="font-family:Verdana;"> we tried to explore the optimum radiotherapy technique regarding the dosimetric parameters. </span><b><span style="font-family:Verdana;">Methods:</span></b><span style="font-family:Verdana;"> We recruited 15 SBBC patients in whom </span><span style="font-family:Verdana;">post-operative</span><span style="font-family:Verdana;"> radiotherapy was indicated and we established three plans for each patient using 3DCRT, IMRT </span><span style="font-family:Verdana;">and</span><span style="font-family:Verdana;"> VMAT, and then we compared the three plans as regard target volume coverage parameters and organs at risk (OAR) doses. </span><b><span style="font-family:Verdana;">Results:</span></b><span style="font-family:Verdana;"> We found that PTV coverage parameter was superior with IMRT compared with 3DCRT and VMAT in terms of Dmean (p = 0.001), D95% (p = 0.001), D</span><sub><span style="font-family:Verdana;">max</span></sub><span style="font-family:Verdana;"> (p = 0.0001), conformity index (p = 0.0001) and HI (p = 0.0001). Doses to OAR w</span></span><span style="font-family:Verdana;">ere</span><span style="font-family:""><span style="font-family:Verdana;"> not significantly different between the three techniques in </span><span style="font-family:Verdana;">cardiac</span><span style="font-family:Verdana;"> dose and LAD maximum dose, but 3DCRT was superior in LAD mean dose (p = 0.03) and lung volume receiving 20 Gy (V20) and 10 Gy (V10) (p = 0.0001), but this difference was non-significant between 3DCRT and IMRT (p = 0.4 and 0.06 respectively), while VMAT led to the highest doses to LAD and lung. </span><b><span style="font-family:Verdana;">Conclusions: </span></b><span style="font-family:Verdana;">IMRT showed the best target coverage parameters in post-operative radiotherapy for SBBC compared with 3DCRT and VMAT. For OAR doses IMRT showed comparable results with 3DCRT</span></span><span style="font-family:Verdana;">, </span><span style="font-family:Verdana;">while</span><span style="font-family:""><span style="font-family:Verdana;"> VMAT delivered </span><span style="font-family:Verdana;">a significantly higher dose</span><span style="font-family:Verdana;"> to OAR.</span></span>展开更多
基金Supported by the Science Research Foundation of Zhejiang Office of Education (20050718)
文摘A solution to the reparametrization of Bézier curves by sine transformation of Bemstein basis is presented. The new effective reparametrization method is given through the following procedures: educing Sine Bemstein-Bézier Class-SBBC function, defining SBBC curve and discussing the relation between SBBC and Bézier curve.
文摘<strong>Background:</strong><span style="font-family:""><span style="font-family:Verdana;"> Breast cancer is the most common cancer diagnosed worldwide, synchronous bilateral breast cancer accounts for </span><span style="font-family:Verdana;">unique</span><span style="font-family:Verdana;"> entity of the disease, particularly post-operative radiotherapy for Synchronous Bilateral Breast Cancer (SBBC) is challenging with </span><span style="font-family:Verdana;">lack</span><span style="font-family:Verdana;"> of evidence about the best irradiation technique. In this </span><span style="font-family:Verdana;">study</span></span><span style="font-family:Verdana;">,</span><span style="font-family:""><span style="font-family:Verdana;"> we tried to explore the optimum radiotherapy technique regarding the dosimetric parameters. </span><b><span style="font-family:Verdana;">Methods:</span></b><span style="font-family:Verdana;"> We recruited 15 SBBC patients in whom </span><span style="font-family:Verdana;">post-operative</span><span style="font-family:Verdana;"> radiotherapy was indicated and we established three plans for each patient using 3DCRT, IMRT </span><span style="font-family:Verdana;">and</span><span style="font-family:Verdana;"> VMAT, and then we compared the three plans as regard target volume coverage parameters and organs at risk (OAR) doses. </span><b><span style="font-family:Verdana;">Results:</span></b><span style="font-family:Verdana;"> We found that PTV coverage parameter was superior with IMRT compared with 3DCRT and VMAT in terms of Dmean (p = 0.001), D95% (p = 0.001), D</span><sub><span style="font-family:Verdana;">max</span></sub><span style="font-family:Verdana;"> (p = 0.0001), conformity index (p = 0.0001) and HI (p = 0.0001). Doses to OAR w</span></span><span style="font-family:Verdana;">ere</span><span style="font-family:""><span style="font-family:Verdana;"> not significantly different between the three techniques in </span><span style="font-family:Verdana;">cardiac</span><span style="font-family:Verdana;"> dose and LAD maximum dose, but 3DCRT was superior in LAD mean dose (p = 0.03) and lung volume receiving 20 Gy (V20) and 10 Gy (V10) (p = 0.0001), but this difference was non-significant between 3DCRT and IMRT (p = 0.4 and 0.06 respectively), while VMAT led to the highest doses to LAD and lung. </span><b><span style="font-family:Verdana;">Conclusions: </span></b><span style="font-family:Verdana;">IMRT showed the best target coverage parameters in post-operative radiotherapy for SBBC compared with 3DCRT and VMAT. For OAR doses IMRT showed comparable results with 3DCRT</span></span><span style="font-family:Verdana;">, </span><span style="font-family:Verdana;">while</span><span style="font-family:""><span style="font-family:Verdana;"> VMAT delivered </span><span style="font-family:Verdana;">a significantly higher dose</span><span style="font-family:Verdana;"> to OAR.</span></span>