Optimal fractionation in radiotherapy with multiple normal tissues

F Saberian, A Ghate, M Kim - … medicine and biology: a journal of …, 2016 - academic.oup.com
The goal in radiotherapy is to maximize the biological effect (BE) of radiation on the tumour
while limiting its toxic effects on healthy anatomies. Treatment is administered over several …

Spatiotemporally optimal fractionation in radiotherapy

F Saberian, A Ghate, M Kim - INFORMS Journal on …, 2017 - pubsonline.informs.org
We present a spatiotemporally integrated formulation of the optimal fractionation problem
using the standard log-linear-quadratic survival model. Our objective is to choose a fluence …

[PDF][PDF] Novel results on a fixed function and their application based on the best approximation of the treatment plan for tumour patients getting intensity modulated …

P Dhawana, J Kaura, V Gupta - Proceedings of the Estonian …, 2019 - researchgate.net
In the present paper, we extend the concept of contraction in a new manner by introducing D-
contraction defined on a family F of bounded functions. We also introduce a new notion of a …

A model predictive control approach for discovering nonstationary fluence-maps in cancer radiotherapy fractionation

A Ajdari, A Ghate - 2016 Winter Simulation Conference (WSC), 2016 - ieeexplore.ieee.org
We consider an optimization problem in radiotherapy, where the goal is to maximize the
biological effect on the tumor of radiation intensity profiles across multiple treatment …

[PDF][PDF] Strong convergence theorems of common fixed points for a uniformly closed asymptotically family of countable quasi-Lipschitz mappings in Hilbert spaces

A Perveen, S Kausar, W Nazeer - Open Journal of Mathematical Analysis, 2019 - pisrt.org
Strong convergence theorems of common fixed points for a uniformly closed asymptotically
family of countable quasi-Lipschitz map Page 1 Article Strong convergence theorems of common …

[PDF][PDF] Strong convergence theorems of non-convex hybrid algorithm for quasi-Lipschitz mappings

W Nazeer, SM Kang, M Munir, S Kausar - J. Comput. Anal. Appl, 2018 - eudoxuspress.com
The aim of this paper is to introduce a new non-convex hybrid algorithm for a family of
countable quasi-Lipschitz mappings. We establish strong convergence theorems of common …

[PDF][PDF] Strong convergence theorems for a non-convex hybrid method for quasi-Lipschitz mappings and applications

W Nazeer, SM Kang, M Munir, S Kausar - J. Comput. Anal. Appl, 2018 - researchgate.net
In this note, the strong convergence theorems of a non-convex hybrid iteration algorithm
corresponding to Noor iterative scheme about common fixed points for a uniformly closed …

[PDF][PDF] Non-convex hybrid algorithms for a family of countable quasi-lipschitz mappings corresponding to Khan iterative process and applications

W Nazeer, M Munir, AR Nizami, S Kausar… - J. Appl. Math …, 2017 - academia.edu
In this note we establish a new non-convex hybrid iteration algorithm corresponding to Khan
iterative process [4] and prove strong convergence theorems of common fixed points for a …

Convex and dynamic optimization with learning for adaptive biologically conformal radiotherapy

F Saberian - 2015 - digital.lib.washington.edu
The research objective of this dissertation is to apply convex and dynamic optimization
methods to establish a rigorous mathematical framework called Adaptive Biologically …

[PDF][PDF] On iterative approach to common fixed points of nonexpansive mappings in Hilbert spaces.

MS Ahmad, W Nazeer, SM Kang… - Journal of …, 2019 - eudoxuspress.com
On iterative approach to common fixed points of nonexpansive mappings in Hilbert spaces.
Page 144 On iterative approach to common fixed points of nonexpansive mappings in Hilbert …