Frascoli2014 - A dynamical model of tumour immunotherapy

Short description
This is a coupled ordinary differential equation model of tumour-immune dynamics, accounting for biological and clinical factors which regulate the interaction rates of cytotoxic T lymphocytes on the surface of the tumour mass.
Format
SBML (L2V4)
Related Publication
• A dynamical model of tumour immunotherapy.
• Frascoli F, Kim PS, Hughes BD, Landman KA
• Mathematical biosciences , 7/ 2014 , Volume 253 , pages: 50-62
• Department of Mathematics, Swinburne University of Technology, VIC, Australia. Electronic address: ffrascoli@swin.edu.au.
• A coupled ordinary differential equation model of tumour-immune dynamics is presented and analysed. The model accounts for biological and clinical factors which regulate the interaction rates of cytotoxic T lymphocytes on the surface of the tumour mass. A phase plane analysis demonstrates that competition between tumour cells and lymphocytes can result in tumour eradication, perpetual oscillations, or unbounded solutions. To investigate the dependence of the dynamic behaviour on model parameters, the equations are solved analytically and conditions for unbounded versus bounded solutions are discussed. An analytic characterisation of the basin of attraction for oscillatory orbits is given. It is also shown that the tumour shape, characterised by a surface area to volume scaling factor, influences the size of the basin, with significant consequences for therapy design. The findings reveal that the tumour volume must surpass a threshold size that depends on lymphocyte parameters for the cancer to be completely eliminated. A semi-analytic procedure to calculate oscillation periods and determine their sensitivity to model parameters is also presented. Numerical results show that the period of oscillations exhibits notable nonlinear dependence on biologically relevant conditions.
Contributors
Johannes Meyer

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Curation status
Curated

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Model files

Frascoli2014.xml SBML L2V4 Representation of Frascoli2014 - A dynamical model of tumour immunotherapy 25.67 KB Preview | Download

Frascoli2014.sedml SED-ML file of Frascoli2014 - A dynamical model of tumour immunotherapy 2.54 KB Preview | Download
Frascoli2014.cps COPASI file of Frascoli2014 - A dynamical model of tumour immunotherapy 48.48 KB Preview | Download
• Model originally submitted by : Johannes Meyer
• Submitted: Aug 12, 2019 10:21:28 AM
• Last Modified: Aug 12, 2019 10:21:28 AM
Revisions
• Version: 2
• Submitted on: Aug 12, 2019 10:21:28 AM
• Submitted by: Johannes Meyer
• With comment: Automatically added model identifier BIOMD0000000787
Curator's comment:
(added: 12 Aug 2019, 10:20:18, updated: 12 Aug 2019, 10:20:18)
Reproduced plot of Figure 1B in the original publication. Model simulated and plot produced using COPASI 4.24 (Build 197).