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The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments

Hirt, Bartholom�us V.; Wattis, Jonathan A.D.; Preston, Simon P.; Laughton, Charles A.

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Authors

Bartholom�us V. Hirt

JONATHAN WATTIS jonathan.wattis@nottingham.ac.uk
Professor of Applied Mathematics

Simon P. Preston

Charles A. Laughton



Abstract

The pentacyclic acridinium salt RHPS4 displays anti-tumour properties in vitro as well as in vivo and is potentially cell-cycle specific. We have collected experimental data and formulated a compartmental model using ordinary differential equations to investigate how the compound affects cells in each stage of the cell cycle. In addition to a control case in which no drug was used, we treated colorectal cancer cells with three different concentrations of the drug and fitted simulations from our models to experimental observations. We found that RHPS4 caused a concentration-dependent, marked cell death in treated cells, which is best modelled by allowing the rate parameters corresponding to cell death to be sigmoidal functions of time. We have shown that the model is “identifiable”, meaning that, at least in principle, the parameter values can be determined from observable quantities. We find that at low concentrations RHPS4 primarily affects the cells in the G2/M phase, and that the drug has a delayed effect with the delay decreasing at larger doses. Since the drug diffuses into the nucleus, the observed delayed effect of the compound is unexpected and is a novel finding of our research into this compound.

Citation

Hirt, B. V., Wattis, J. A., Preston, S. P., & Laughton, C. A. (2012). The effects of a telomere destabilising agent on cancer cell-cycle dynamics - integrated modelling and experiments. Journal of Theoretical Biology, 295, https://doi.org/10.1016/j.jtbi.2011.10.038

Journal Article Type Article
Publication Date Feb 21, 2012
Deposit Date Apr 4, 2014
Publicly Available Date Apr 4, 2014
Journal Journal of Theoretical Biology
Print ISSN 0022-5193
Electronic ISSN 0022-5193
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 295
DOI https://doi.org/10.1016/j.jtbi.2011.10.038
Public URL https://nottingham-repository.worktribe.com/output/709331
Publisher URL http://www.sciencedirect.com/science/article/pii/S0022519311005613

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