Journal: Bulletin of Mathematical Biology
Article Title: Modelling Radiation Cancer Treatment with a Death-Rate Term in Ordinary and Fractional Differential Equations
doi: 10.1007/s11538-023-01139-2
Figure Lengend Snippet: Comparison of computation time for the death-rate model with either a hyperbolic tangent \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\hat{H}}(t)$$\end{document} H ^ ( t ) function or a Heaviside H ( t ) function, and the impulsive (start/stop) model. Parameter fitting of the exponential growth model to patient 5 data was performed 100 times and the average total time and CPU time per fit are reported. Best-fitting parameters are also listed along with the frequency of occurrence (consensus)
Article Snippet: To numerically simulate both ODE and FDE models, we use the same solver for consistency, namely the FDE solver fde12 in MATLAB (Garrappa ), which implements a predictor–corrector algorithm (Diethelm et al. ).
Techniques: Comparison