Math, biology and nanotechnology are becoming strange, yet effective bed-fellows in the fight against cancer treatment resistance.

‘A revolutionary new approach to cancer treatment that pits a lethal combination of drugs together into a single nanoparticle has been engineered by researchers.’

By tracking the fate of individual cancer cells under pressure of chemotherapy, biologists and bioengineers at Harvard Medical School studied a network of signals and molecular pathways that allow the cells to generate resistance over the course of treatment. 




Using this information, a team of applied mathematicians led by Professor Mohammad Kohandel at the University of Waterloo, developed a mathematical model that incorporated algorithms that define the phenotypic cell state transitions of cancer cells in real-time while under attack by an anticancer agent. The mathematical simulations enabled them to define the exact molecular behavior and pathway of signals, which allow cancer cells to survive treatment over time.
They discovered that the PI3K/AKT kinase, which is often over-activated in cancers, enables cells to undergo a resistance program when pressured with the cytotoxic chemotherapy known as Taxanes, which are conventionally used to treat aggressive breast cancers. This revolutionary window into the life of a cell reveals that vulnerabilities to small molecule PI3K/AKT kinase inhibitors exist, and can be targeted if they are applied in the right sequence with combinations of other drugs.
Previously theories of drug resistance have relied on the hypothesis that only certain, 'privileged' cells can overcome therapy. The mathematical simulations demonstrate that, under the right conditions and signaling events, any cell can develop a resistance program.
"Only recently have we begun to appreciate how important mathematics and physics are to understanding the biology and evolution of cancer," said Professor Kohandel. "In fact, there is now increasing synergy between these disciplines, and we are beginning to appreciate how critical this information can be to create the right recipes to treat cancer."
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"We were inspired by the mathematical understanding that a cancer cell rewires the mechanisms of resistance in a very specific order and time-sensitive manner," said Professor Goldman. "By developing a two-in-one nanomedicine, we could ensure the cell that was acquiring this new resistance saw the lethal drug combination, shutting down the survival program and eliminating the evidence of resistance. This approach could redefine how clinicians deliver combinations of drugs in the clinic."
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Using mouse models of aggressive breast cancer, the scientists confirmed the predictions from the mathematical model that both drugs must be deterministically delivered to the same cell.
Source-Eurekalert