An Îto stochastic differential equations model for the dynamics of the MCF-7 breast cancer cell line treated by radiotherapy
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Publication:309200
DOI10.1016/j.jtbi.2016.07.035zbMath1344.92076OpenAlexW2506100295WikidataQ38755901 ScholiaQ38755901MaRDI QIDQ309200
Mohd Omar, Amin Oroji, Shantia Yarahmadian
Publication date: 7 September 2016
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2016.07.035
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Medical applications (general) (92C50)
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Cites Work
- Tumor growth modeling based on cell and tumor lifespans
- Mathematical models of the cell cycle with a view to tumor studies
- A model of tumor growth based on cell cycle kinetics
- Derivation of the tumour control probability (TCP) from a cell cycle model
- Higher-order implicit strong numerical schemes for stochastic differential equations
- A stochastic model in tumor growth
- Stochastic Gompertz model of tumour cell growth
- A mathematical model of cell cycle progression applied to the MCF-7 breast cancer cell line
- Mechanistic description of survival of irradiated cells: repair kinetics in Padé linear-quadratic or differential Michaelis-Menten model
- CALCULUS FROM THE PAST: MULTIPLE DELAY SYSTEMS ARISING IN CANCER CELL MODELLING
- On a multicompartment age-distribution model of cell growth
- Simple ODE models of tumor growth and anti-angiogenic or radiation treatment
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