Fractional-order modelling of cancer cell population dynamics affected by radiation.
3/5 보강
OpenAlex 토픽 ·
Fractional Differential Equations Solutions
Mathematical Biology Tumor Growth
Cancer and biochemical research
We present a fractional model for cell cycle progression using the Caputo fractional-order derivative.
APA
Bishwajit Sarma, Haimonti Dutta, Ujjal Das (2026). Fractional-order modelling of cancer cell population dynamics affected by radiation.. Computational biology and chemistry, 122, 108924. https://doi.org/10.1016/j.compbiolchem.2026.108924
MLA
Bishwajit Sarma, et al.. "Fractional-order modelling of cancer cell population dynamics affected by radiation.." Computational biology and chemistry, vol. 122, 2026, pp. 108924.
PMID
41610567 ↗
Abstract 한글 요약
We present a fractional model for cell cycle progression using the Caputo fractional-order derivative. An in-depth analysis of the existence, uniqueness, non-negativity, and boundedness of the solution has been carried out. Finally, the model has been applied to two cell lines: MCF-7 (Breast cancer) and A549 (Lung cancer). By combining the suggested mathematical model with experimental findings, Markov Chain Monte Carlo (MCMC) sampling was used to estimate model parameters within a Bayesian framework. The MCF-7 and A549 cell lines show almost the same values for the transition from the GM phase to the G phase, with rates of 0.2h and 0.189h, respectively, according to the calculated transition rates. On the other hand, MCF-7 cells undergo a faster transition from the G phase to the S phase, with a rate of 0.159h as opposed to 0.095h in A549 cells. To assess how well MCMC investigated the posterior and generated reliable parameter values, trace plots have been used as a diagnostic tool.
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