A review of artificial intelligence in brachytherapy
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen+4 more
wiley +1 more source
Using deep learning generated CBCT contours for online dose assessment of prostate SABR treatments
Abstract Prostate Stereotactic Ablative Body Radiotherapy (SABR) is an ultra‐hypofractionated treatment where small setup errors can lead to higher doses to organs at risk (OARs). Although bowel and bladder preparation protocols reduce inter‐fraction variability, inconsistent patient adherence still results in OAR variability.
Conor Sinclair Smith+8 more
wiley +1 more source
Estimates for singular integrals along surfaces of revolution [PDF]
We prove certain $L^p$ estimates ($1
Elliptic perturbations for Hammerstein equations with singular nonlinear term
We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite+1 more
doaj
The method for calculating singular integrals in problems of axially symmetric Stokes flows
The flow of a viscous fluid at small Reynolds numbers (Stokes flow) in a three-dimensional formulation is investigated. In this case, the inertial terms in the equations of motion can be neglected. Such flows can occur in nanotubes that can be considered
Roman Palchikov+2 more
doaj +1 more source
极大奇异积分算子的RBLO估计(A RBLO estimate for maximal singular integral operator)
Let μ be a positive Radon measure and satisfy a growth condition on Rd. Considering maximal Calderón-Zygmund singular integral operator whose kernel is k(x, y).
QUANYu-xia(全玉霞)+2 more
doaj +1 more source
Estimates for singular integrals on homogeneous groups [PDF]
We consider singular integral operators and maximal singular integral operators with rough kernels on homogeneous groups. We prove certain estimates for the operators that imply $L^p$ boundedness of them by an extrapolation argument under a sharp condition for the kernels. Also, we prove some weighted $L^p$ inequalities for the operators.
arxiv
Application of Fredholm integral equations inverse theory to the radial basis function approximation problem [PDF]
This paper reveals and examines the relationship between the solution and stability of Fredholm integral equations and radial basis function approximation or interpolation.
Renaut, Rosemary, Zhu, Shengxin
core
Weighted norm inequalities for a class of rough singular integrals
Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator.
H. M. Al-Qassem
doaj +1 more source
Monotonicity principles for singular integral equations in Clifford analysis [PDF]
Monotonicity principles can be used to get informations about nonlinear singular integral equations. These results are based on a theorem of Browder and Minty. We consider a family of monotone singular integral operators and associated nonlinear singular integral equations with Nemickii operator in Clifford analysis which has an application to the ...
arxiv