Radiobiological model

Pad6 approximant for cell surviving fractions in radiobiological modelings... 

D2. Belkic, Cell surviving fractions after irradiation novel radiobiological models with the Michaelis-Menten enzyme kinetics and the Lambert W function, J. Math. Chem. 49 (2011) 1618. 

Radioprotection. The processes of crosslinking and degradation observed in polymers irradiated in the pure state can also be observed in polymers irradiated in solution. The presence of a solvent can intervene in the reaction in several ways thus it allows increased polymer mobility, and some of the radiolytic products of the solvent may react with the polymer or with the polymer radicals, etc. The polymer-water system is of particular interest in that it provides a simple model for some radiobiological systems and can be analyzed far more readily. 

In the following paragraphs, we shall describe the known information on the reactivity of different constituents of the living cell with hydrated electrons, bearing in mind that the information described does not represent part of the mechanism of radiobiological damage. Hydrated-electron reactions may, therefore, be used in molecular radiobiology, with appropriate caution, merely as model processes for electron-transfer reactions which undoubtedly take place in the radiolysed cell. 

The biodistribution and radiotherapy data, together with required data for Lu-DOTATATE and the tumour size, were incorporated into a response model based on the linear quadratic model. This model provides data on interactions among important radiobiological parameters. 

This general type of process has been discussed with respect to the radiation chemistry of aqueous solutions (1, 7, II, 20, 22, 24, 31) organic liquids (9), gas-phase mixtures (29), a model for radiobiological sensitization (I, 6), and with respect to some apparent conflicts between steady-state radiation chemistry and pulse radiolysis (22, 24). In this paper, some examples of electron transfer in pulse radiolysis have been chosen to illustrate various features of this phenomenon. 

Section 2 briefly summarizes the most Important characteristics of typical cells and tissues and their response to conventional photon radiation. This will facilitate understanding of the particular radiobiological properties of Ion beams. It also includes an overview of the most Important systems and techniques used to quantify radiation effects on cells and tissues. The biologically relevant physical characteristics of Ion beams as compared to photon beams will be Introduced In Sect. 3. The description of the particular biological effects of Ion beams will then be presented In Sect. 4. Section 5 Introduces aspects of modeling of the radiobiological properties of Ion beam radiation. As an example for the application of Ion beams, Sect. 6 describes the use of Ion beams In tumor therapy. Finally, Sect. 7 summarizes the most Important aspects and gives some remarks on future perspectives of ion beam applications. 

Introduction - This report is for the most part based on articles selected from the 425 Included in the author s bibliographyl covering 1967. As in the two previous reports in this series no attempt has been made to cover developments in radiobiology or radiation biochemistry such as the effect of radiation on cellular kinetics or the development of a mathematical model for the biological effectiveness of radiation. ... 

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