Probability Of Post-radiation Complications Research Articles

Aggregation method for determination of parameters of mathematical models

Two mathematical models for calculation of the probability of post-radiation complications in normal tissues are considered. The first model provides calculation of the probability of post-radiation complications within the entire dose and tissue volume range. The second model is approximative. It can be used for calculation of the probability of post-radiation complications that does not exceed 50%. Methods for determination of parameters of the mathematical models are described. These methods are based on solution of extremal problems. An original method for determination of three parameters of the mathematical models is suggested. It is based on solution of a complex automatization problem using aggregated clinical information. The method includes straightforward enumeration of values of the aggregation parameter p and solution of an extremal problem for determination of the other two parameters. This study was supported by the Russian Foundation for Basic Research, project No. 05-01-00326.

Synthesis of radiological models and radiological constants. Part 4: Synthesis of population-phenomenological models and the Lyman model

The goal of this work was to synthesize Lyman mathematical models (MM), which describe the probability of post-radiation complications (PRC) in tissue subjected to radiation therapy with given scheme of dose fractionating (DF), and population-phenomenological (PP) MMs PP3 and PP4, which describe equivalent DF schemes for a fixed PRC value. Construction of synthesized MMs (SMMs) becomes possible only on the basis of several assumptions requiring further clinical validation. Synthesized MMs can be used for determination of the optimal dynamic conditions of irradiation of malignant tumors. These conditions include the optimal physical plan of irradiation and the optimal time scheme of its implementation. Synthesis of MMs leads to determination of radiological invariants (constants), which can become a basis for a new branch of medical science, quantitative radiology.

Synthesis of radiological models and radiological invariants (constants). Part 3: Synthesis of population-phenomenological models and Klepper model

The goal of this work was to synthesize Klepper mathematical models (MM), which describes the probability of post-radiation complications (PRC) in tissue subjected to radiation therapy with given scheme of dose fractionating (DF), and population-phenomenological (PP) MMs PP3 and PP4, which describe equivalent DF schemes for a fixed PRC value. Construction of synthesized MMs (SMMs) becomes possible only on the basis of several assumptions requiring further clinical validation. Synthesized MMs can be used for determination of the optimal dynamic conditions of irradiation of malignant tumors. These conditions include the optimal physical plan of irradiation and the optimal time scheme of its implementation. Synthesis of MMs leads to determination of radiological invariants (constants), which can become a basis for a new branch of medical science, quantitative radiology.

Synthesis of radiological models and radiological invariants (Constants). Part 2

The goal of this work was to synthesize a mathematical model (MM) on the basis of Klepper and Lyman MMs, which describe the probability of post-radiation complications (PRC) in tissue subjected to radiation therapy with given scheme of dose fractionating (DF), and the LQ-model, which describes equivalent DF schemes for a fixed PRC value. Construction of synthesized MMs (SMMs) becomes possible only on the basis of several assumptions requiring further clinical validation. Synthesized MMs can be used for determination of the optimal dynamic conditions of irradiation of malignant tumors. These conditions include the optimal physical plan of irradiation and the optimal time scheme of its implementation. Synthesis of MMs leads to determination of radiological invariants (constants), which can become a basis for a new branch of medical science, quantitative radiology.

Approximate Methods for Calculating the Probability of Post-radiation Complications. Generalized Poisson–Klepper–LQ Method

Approximate Methods for Calculating the Probability of Post-radiation Complications. Generalized Poisson–Klepper–LQ Method

Approximate Methods for Calculating Probability of Post-radiation Complications. Poisson–Klepper–LQ Methods

Approximate Methods for Calculating Probability of Post-radiation Complications. Poisson–Klepper–LQ Methods

Approximate Methods for Calculating Probability of Post-radiation Complications. 1. Method for Approximate Calculation of Probability of Post-radiation Complications. 2. Method for Calculation of Equivalent Conditions of Irradiation

Approximate Methods for Calculating Probability of Post-radiation Complications. 1. Method for Approximate Calculation of Probability of Post-radiation Complications. 2. Method for Calculation of Equivalent Conditions of Irradiation

Methods of Transition from Nonuniform Dose Distribution in Tissue to Adequate Dose of Uniform Irradiation with the Same Probability of Post-radiation Complications

Methods of Transition from Nonuniform Dose Distribution in Tissue to Adequate Dose of Uniform Irradiation with the Same Probability of Post-radiation Complications

Probability of Cell Death in Tissues, Integral Cellularity, and Probability of Post-radiation Complications in Tissues

Probability of Cell Death in Tissues, Integral Cellularity, and Probability of Post-radiation Complications in Tissues

Interactive determination of the parameters of mathematical models used for planning of radiation therapy of malignant tumors. Part 1. mathematical models for calculating the tolerant doses, adequate doses, and the probability of post-radiation complications in normal organs and tissues

Interactive determination of the parameters of mathematical models used for planning of radiation therapy of malignant tumors. Part 1. mathematical models for calculating the tolerant doses, adequate doses, and the probability of post-radiation complications in normal organs and tissues

Interactive Determination of Parameters of Mathematical Models for Planning of Radiation Therapy of Malignant Tumors. Part 2. Method of Local Tuning of Mathematical Model Parameters for Calculating Tolerant Doses and Probability of Post-radiation Complications in Normal Organs and Tissues of the Human Body

Interactive Determination of Parameters of Mathematical Models for Planning of Radiation Therapy of Malignant Tumors. Part 2. Method of Local Tuning of Mathematical Model Parameters for Calculating Tolerant Doses and Probability of Post-radiation Complications in Normal Organs and Tissues of the Human Body

Nonuniform dose distribution in normal organs and tissues during radiation therapy of malignant tumors

1. The probability of postradiation complications caused by the same total dose is lower in case of the uniform dose distribution.

A method of calculation of the probability of postradiation complications in organs and tissues as a function of irradiation volume and patterns of dose fractioning

A method of calculation of the probability of postradiation complications in organs and tissues as a function of irradiation volume and patterns of dose fractioning