Repair of irradiated cells by Michaelis-Menten enzyme catalysis: the Lambert function for integrated rate equations in description of surviving fractions

DOI10.1007/s10910-014-0308-2zbMath1311.92086OpenAlexW2154822127MaRDI QIDQ2014806

Dževad Belkić

Publication date: 16 June 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0308-2

zbMATH Keywords

chemical kineticsrate equationscell repairLambert functionMichaelis-Menten enzyme catalysisdose planning systemshypofractionated radiotherapy

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (5)

The Euler \(T\) and Lambert \(W\) functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells ⋮ Quantification by the fast Padé transform of magnetic resonance spectroscopic data encoded at 1.5 T: implications for brain tumor diagnostics ⋮ All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells ⋮ Padé optimization of noise-corrupted magnetic resonance spectroscopic time signals from fibroadenoma of the breast ⋮ Survival of radiation-damaged cells via mechanism of repair by pool molecules: the Lambert function as the exact analytical solution of coupled kinetic equations

Uses Software

• WAPR
• Algorithm 443

Cites Work

• Michaelis-Menten kinetics at high enzyme concentrations
• The potential for practical improvements in cancer diagnostics by mathematically-optimized magnetic resonance spectroscopy
• Enzyme kinetics at high enzyme concentration
• On the Lambert \(w\) function
• Survival of radiation-damaged cells via mechanism of repair by pool molecules: the Lambert function as the exact analytical solution of coupled kinetic equations
• Mechanistic description of survival of irradiated cells: repair kinetics in Padé linear-quadratic or differential Michaelis-Menten model
• Real values of the W -function
• Algorithm 743: WAPR--a Fortran routine for calculating real values of the W -function
• Unnamed Item
• Unnamed Item

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