Treatment Optimization Using Physical and Radiobiological Objective Functions

A Mathematical Theory of Communication

1948 • 73,365 citations

Optimization by Simulated Annealing

1983 • 42,775 citations

Equation of State Calculations by Fast Computing Machines

1953 • 34,935 citations

Information Theory and Statistical Mechanics

1957 • 12,269 citations

Iterative Solution of Nonlinear Equations in Several Variables

2000 • 6,865 citations

Iterative Solution of Nonlinear Equations in Several Variables

1971 • 4,427 citations

The Mathematics of Computerized Tomography

2002 • 2,715 citations

The use of the nitrogen mustards in the palliative treatment of carcinoma.With particular reference to bronchogenic carcinoma

1948 • 2,185 citations

Introduction to linear and nonlinear programming

1974 • 2,099 citations

Introduction to linear and nonlinear programming

1973 • 1,924 citations

The Radon Transform and Some of Its Applications

1983 • 1,852 citations

The Mathematics of Computerized Tomography

1986 • 1,744 citations

Numerical Solution of Integral Equations

1975 • 568 citations

Tumour and Normal Tissue Responses to Fractionated Non-uniform Dose Delivery

1992 • 546 citations

Dosimetric Precision Requirements in Radiation Therapy

1984 • 518 citations

[Fractionation in radiotherapy].

1972 • 487 citations

Optimization of stationary and moving beam radiation therapy techniques

1988 • 481 citations

Constrained iterative restoration algorithms

1981 • 429 citations

Methods of image reconstruction from projections applied to conformation radiotherapy

1990 • 396 citations

Fractionation in Radiotherapy

1988 • 345 citations

The generation of intensity-modulated fields for conformal radiotherapy by dynamic collimation

1992 • 345 citations

Optimisation of conformal radiotherapy dose distribution by simulated annealing

1989 • 341 citations

Solution of an integral equation encountered in rotation therapy

1982 • 319 citations

A review of electronic portal imaging devices (EPIDs)

1992 • 317 citations

Radiation Quantities and Units

1972 • 291 citations

Differential pencil beam dose computation model for photons

1986 • 286 citations

Clinically relevant optimization of 3-D conformal treatments

1992 • 279 citations

Models in radiotherapy: Volume effects

1983 • 268 citations

Maximum Entropy in Action

1991 • 202 citations

[Computer-assisted radiology].

1988 • 201 citations

An algorithm for maximizing the probability of complication-free tumour control in radiation therapy

1992 • 188 citations

An analytical solution for the dynamic control of multileaf collimators

1994 • 188 citations

Optimal Dose Distribution for Eradication of Heterogeneous Tumors

1987 • 184 citations

Heavy Particle Radiotherapy

1980 • 179 citations

Calculation and Application of Point Spread Functions for Treatment Planning with High Energy Photon Beams

1987 • 177 citations

Shaping of arbitrary dose distributions by dynamic multileaf collimation

1988 • 170 citations

Conformation radiotherapy. Rotation techniques as applied to radiography and radiotherapy of cancer.

1965 • 164 citations

Optimization of uncomplicated control for head and neck tumors

1990 • 161 citations

A generalized pencil beam algorithm for optimization of radiation therapy

1994 • 153 citations

The Physics of Three-Dimensional Radiation Therapy

1993 • 151 citations

Treatment plan optimization using linear programming

1991 • 150 citations

Design Principles and Clinical Possibilities with A New Generation of Radiation Therapy Equipment: A Review

1987 • 150 citations

The Method of Linear Programming Applied to Radiation Treatment Planning

1968 • 144 citations

On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning

1988 • 144 citations

The biological basis for conformal three-dimensional radiation therapy

1991 • 140 citations

Vorlesungen über Fouriersche Integrale

1932 • 136 citations

Faster repair of DNA double-strand breaks in radioresistant human tumor cells

1988 • 132 citations

A computational solution of the inverse problem in radiation-therapy treatment planning

1988 • 112 citations

The Physics of Three Dimensional Radiation Therapy

1993 • 112 citations

Optimization of beam weights under dose-volume restrictions

1987 • 99 citations

A new technique for radiotherapy planning using quadratic programming

1976 • 99 citations

Irradiation of Small Structures Through the Intact Skull

1974 • 98 citations

Optimization of the dose delivery in a few field techniques using radiobiological objective functions

1993 • 97 citations

A problem in rotation therapy with X Rays

1987 • 96 citations

The Importance of Genetics for the Optimization of Radiation Therapy A Hypothesis

1988 • 90 citations

Optimization of radiation therapy II: The critical-voxel model

1984 • 87 citations

Computed tomography with a linear accelerator with radiotherapy applications

1983 • 82 citations

Optimization of external beam radiation therapy

1977 • 77 citations

A constrained least‐squares optimization method for external beam radiation therapy treatment planning

1984 • 75 citations

An inverse problem in radiation therapy

1990 • 75 citations

Semi-automated radiotherapy treatment planning with a mathematical model to satisfy treatment goals

1989 • 72 citations

Optimal Radiation Beam Profiles Considering Uncertainties in Beam Patient Alignment

1993 • 70 citations

A unified approach to the optimization of brachytherapy and external beam dosimetry

1991 • 66 citations

Optimization of X-ray Treatment Planning by Computer Judgement

1967 • 59 citations

Accomplishments in cancer research, 1984

1987 • 57 citations

Maximum entropy in action : a collection of expository essays

1991 • 56 citations

Properties of an algorithm for solving the inverse problem in radiation therapy

1990 • 55 citations

A problem in rotation therapy with x-rays: Dose distributions with an axis of symmetry

1987 • 55 citations

Specification of dose delivery in radiation therapy

1997 • 55 citations

Random search algorithm (RONSC) for optimization of radiation therapy with both physical and biological end points and constraints

1992 • 53 citations

Nuclear Particles in Cancer Treatment

1981 • 53 citations

Semiautomatic Optimization of External Beam Radiation Treatment Planning

1974 • 51 citations

Radiotherapeutic computed tomography with scanned photon beams

1987 • 50 citations

Extraction of pencil beam kernels by the deconvolution method

1988 • 50 citations

Rotation therapy using a novel high-gradient filter.

1982 • 48 citations

Acquisition of the effective lateral energy fluence distribution for photon beam dose calculations by convolution models

1991 • 46 citations

Selection of suitable beam orientations in radiation therapy using entropy and Fourier transform measures

1992 • 46 citations

Computer Optimization of 4 MeV Treatment Planning

1965 • 45 citations

Review: Diseases with DNA Damage-Processing Defects

1988 • 43 citations

Constrained simulated annealing for optimized radiation therapy treatment planning

1990 • 40 citations

Inverse Monte Carlo analysis

1981 • 40 citations

The clinical value of different treatment objectives and degrees of freedom in radiation therapy optimization

1993 • 40 citations

Optimization of proton and heavy ion therapy using an adaptive inversion algorithm

1989 • 36 citations

Physical and Biologic Aspects on the Optimum Choice of Radiation Modality

1982 • 35 citations

Optimal design of radiation compensators

1990 • 34 citations

Radiotherapy Treatment Design Using Mathematical Programming Models

1985 • 33 citations

An interactive beam‐weight optimization tool for three‐dimensional radiotherapy treatment planning

1992 • 32 citations

A Gradient Method of Optimizing External-Beam Radiotherapy Treatment Plans

1978 • 32 citations

Radiation therapy planning and optimization studied as inverse problems

1991 • 32 citations

Optimal treatment levels in cancer therapy

1972 • 32 citations

Automatic variation of field size and dose rate in rotation therapy

1977 • 31 citations

Pseudo optimization of radiotherapy treatment planning

1976 • 28 citations

The effect on minimum tumor dose of restricting target-dose inhomogeneity in optimized three-dimensional treatment of lung cancer

1991 • 28 citations

Software for linear and non-linear optimization in external radiotherapy

1982 • 28 citations

Magazin for naturvidenskaberne.

1823 • 27 citations

On a problem in radiotherapy: Questions of non‐negativity

1989 • 25 citations

Benefit, risk, and optimization by roc analysis in cancer radiotherapy

1985 • 24 citations

The statistical prognosis in radiation therapy. A study of optimal dosage in relation to physical and biologic parameters for epidermoid cancer.

1960 • 22 citations

Theoretical considerations in the optimisation of dose distribution in radiation therapy

1969 • 21 citations

Non-standard ct scanners: Their role in radiotherapy

1990 • 21 citations

Optimization of radiation therapy planning using physical and biological objective functions

1992 • 20 citations

Relation between local cure and dose-time-volume factors in interstitial implants

1985 • 20 citations

Photon field quantities and units for kernel based radiation therapy planning and treatment optimization

1992 • 19 citations

Integration of Multi-Modality Imaging for Use in Radiation Therapy Treatment Planning

1987 • 19 citations

Heavy Particle Radiotherapy

1981 • 17 citations

Automation of Radiation Treatment Planning. V—Calculation and Visualisation of the Total Treatment Volume

1965 • 17 citations

Correction of a measured distribution for the finite extension of the detector.

1981 • 16 citations

A 3-Dimensional Beam Scanning System for Particle Radiation Therapy

1977 • 15 citations

Therapy planning and dosimetry for the pion applicator at the Swiss Institute for Nuclear Research (SIN)

1979 • 13 citations

3‐D dose‐volume compensation using nonlinear least‐squares regression technique

1991 • 12 citations

The compleat oncologist: Franz Buschke Lecture

1982 • 12 citations

Optimization of dose-time factors for a tumor and multiple associated normal tissues

1987 • 9 citations

Computation of optimal radiation treatment plans

1977 • 9 citations

The field integrated dose modification (FIDM): Three typical clinical applications of a new irradiation technique

1988 • 8 citations

Computer - Assisted Conformation Radiotherapy

1990 • 6 citations

Nuclear Particles in Cancer Treatment

1981 • 5 citations

[Principles of optimization of irradiation planning].

1975 • 1 citations