6 papers
An optimization derivation of the method of conjugate gradients
David Ek, Anders Forsgren
We give a derivation of the method of conjugate gradients based on the requirement that each iterate minimizes a strictly convex quadratic on the space spanned by the previously ob…
On the existence of a short pivoting sequence for a linear program
Anders Forsgren, Fei Wang
Pivoting methods are of vital importance for linear programming, the simplex method being the by far most well-known. In this paper, a primal-dual pair of linear programs in canoni…
On the Interplay between Robustness and Dynamic Planning for Adaptive Radiation Therapy
Michelle Böck, Kjell Eriksson, Anders Forsgren
Interfractional geometric uncertainties can lead to deviations of the actual delivered dose from the prescribed dose distribution. To better handle these uncertainties during treat…
On tradeoffs between treatment time and plan quality of volumetric-modulated arc therapy with sliding-window delivery
Lovisa Engberg, Anders Forsgren
The purpose of this study is to give an exact formulation of optimization of volumetric-modulated arc therapy (VMAT) with sliding-window delivery, and to investigate the plan quali…
Increased accuracy of planning tools for optimization of dynamic multileaf collimator delivery of radiotherapy through reformulated objective functions
Lovisa Engberg, Kjell Eriksson, Anders Forsgren
The purpose of this study is to examine in a clinical setting a novel formulation of objective functions for intensity-modulated radiotherapy treatment plan multicriteria optimizat…
Robust generation of elementary flux modes
Hildur Æsa Oddsdóttir, Erika Hagrot, Veronique Chotteau +1
Elementary flux modes (EFMs) are vectors defined from a metabolic reaction network, giving the connections between substrates and products. EFMs-based metabolic flux analysis (MFA)…