Repair processes and cell survival

Laurie, Jean; Orr, J. S.; Foster, C. J.

doi:10.1259/0007-1285-45-533-362

Cited by 41 publications

(10 citation statements)

References 22 publications

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“…As has been shown in the development of several models (23)(24)(25) and as recently reviewed by Goodhead (26), repair saturation can also explain very effectively the shoulder on survival curves. Evidence exists at high doses that repair of double strand breaks shows the characteristics of saturation (27).…”

mentioning

confidence: 76%

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Lethal and Potentially Lethal Lesions Induced by Radiation --- A Unified Repair Model

Curtis¹

1986

Radiation Research

437

214

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mentioning

confidence: 76%

“…where 1 nPL(t') an_d 2 nPL(t') are given by equations (25) and (27), respectively. This is immediately integrated to give…”

Section: The Condition Ismentioning

confidence: 99%

Lethal and Potentially Lethal Lesions Induced by Radiation --- A Unified Repair Model

Curtis¹

1986

Radiation Research

437

214

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“…Staying still within chemical kinetics, one of the alternatives to the IMM model is to conceive the damage repair as being mediated by the so-called pool repair molecules from the cell environment [56,[115][116][117][118][119][120]. To proceed, let the set of quan- Pool substances p can be both repair molecules and lesions.…”

Section: Cell Repair By Pool Repair Molecules From the Cell Environmentmentioning

confidence: 99%

“…As such they are optimal for dose planning systems in conventional and non-conventional radiotherapy at small and large doses per fraction, respectively. In the IMM and PRL models, the corresponding systems of the kinetic equations for the concentrations of radiation lesions, that yield the dose-effect curves, have previously been reduced to a linear-logarithmic [54,55] (1971, 1991), and a linear-exponential [56] (1972) transcendental equation.…”

Section: Introductionmentioning

confidence: 99%

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The Euler T and Lambert W functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells

Belkić

2018

J Math Chem

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Recently, the Euler T and Lambert W transcendental functions found useful applications in cellular radiobiology. Specifically, these functions appeared in mathematical modeling of cell survival after irradiation using the formalism of chemical kinetics. An example is a mechanistic inclusion of cell repair through enzyme catalysis in the Michaelis-Menten formalism, where the concentration of radiation lesions is given by the Lambert function. This function also appears in cell surviving fractions in an alternative aspect of chemical kinetics when lesion repair is carried out by the so-called pool repair molecules without passing through enzyme catalysis. Moreover, even with no reference to chemical kinetics at all, both the Lambert and Euler functions emerge in the framework of the cell repair dynamics described by delayed differential equations. The Euler function is also encountered within the cell blocking mechanism of damage repair in analogy with the counting coincidence correction for the dead time of the radiation detecting instruments. Presently, we analyze the overall usefulness of the Lambert and Euler functions in radiotherapy with a goal of motivating a further exploration of this analytical methodology in mechanistic radiobiological models for cell survival. The main reason for pursuing this pathway is in its unified mechanistic concept of cell surviving fractions valid at all doses from low through intermediate to high radiation exposures. With this advance, no artificial cut-off doses are needed any longer for empirical connections of the intermediate and high dose regimens in mathematical modelings. This is particularly important in radiotherapy because the clinically most frequently used linear-quadratic model is inadequate at high doses. High doses are of main relevance to stereotactic radiotherapy for treatment of localized tumors by efficaciously administering relatively large doses per fraction in a small number of fractions within only a few days. Such a non-conventional treatment schedule is advantageous both for the patient and hospitals' cost effectiveness, especially relative to conventional radiotherapy, which uses small doses (2 Gy) per fraction within a month long period.

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Actions of radiation on living cells in the “post-bystander” era

Mothersill

Seymour

Experientia Supplementum

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Repair processes and cell survival

Cited by 41 publications

References 22 publications

Lethal and Potentially Lethal Lesions Induced by Radiation --- A Unified Repair Model

Lethal and Potentially Lethal Lesions Induced by Radiation --- A Unified Repair Model

The Euler T and Lambert W functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells

Actions of radiation on living cells in the “post-bystander” era

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