Mathematical model explains why metastasis can occur even when cancer is caught early

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The concept of survival of the fittest most often applies to the competition that occurs within and between animal species, but evolutionary pressures can be found elsewhere—even in a cancerous tumour.

Cancer researchers have come to understand tumours not as lumps of identical cells, but rather as diverse, dynamic populations unto themselves. And, like individuals within animal populations, cells within tumours compete with one another, some thriving, some failing.

In a new study, researchers from the University of Pennsylvania have crafted a mathematical model to understand the dynamics at play as cancerous tumours grow and spread. Setting their model into action, Jimmy Qian, a rising senior in the Vagelos Scholars Program in the Molecular Life Sciences, and Erol Akçay, an assistant professor of biology in the School of Arts and Sciences, were able to explain a somewhat paradoxical observation, that mutations that lead to metastasis—the spread of cancer to sites distant from the primary tumour—often arise early, rather than late, in a tumour history.

Reporting in the journal PLOS ONE, Qian and Akçay suggest that incorporating evolutionary and ecological theory into cancer biology may help guide more effective treatment plans.

“In the public consciousness it often seems like cancer is this big, unitary disease that we need to beat somehow, like polio, which it isn’t,” says Akçay. “Each cancerous tumour is a community of essentially different ‘species’ doing different things.”

“Understanding how cancer evolves,” adds Qian, “may help us to predict which lineage will come to dominate in a tumour and, possibly, preemptively treat that to minimize the chance for drug resistance. Or, if we can predict what sort of evolutionary mechanisms cause metastasis, we can try to tackle that before metastasis even starts.”

Cancer cells don’t simply dwell and reproduce amidst normal cells; they actively modify the environment around them to make it more conducive to their own growth. This process may entail enhancing blood-vessel formation or altering the structure and metabolism of nearby cells. Cultivation of the so-called tumour microenvironment, or tumour niche, isn’t limited to neighboring tissues, however. Metastasis arises when malignant cells secrete factors through the bloodstream to distant sites in the body as a way of readying new spaces for cancer to grow.

“It’s like humans. We prepare our kids by creating college funds and things like that,” Qian says.

“Cancer is doing the same thing. It’s preparing a distant site that its kids will one day migrate to.”

To Qian and Akçay, steeped in theoretical evolutionary biology and ecology theory, this feature of cancer’s spread presented interesting questions: Assuming that cancer cells must sacrifice some of their own resources to prepare these distant areas of the body, how would such a lineage compete with others that cultivated areas closer to the primary tumour? And what about “cheating” lineages that didn’t contribute to constructing the tumour niche, and therefore used fewer resources?

Imagining a primary tumour, the researchers crafted a model tumour composed of four types of cancer cells: producers that help construct the tumour’s immediate microenvironment; producers that help construct distant, pre-metastatic sites by secreting various molecules; producers that do both of these tasks (and bear twice the cost in resources); and cheaters, which do not contribute to niche construction (and thus sacrifice fewer resources).

Setting up competitive interactions among these various cancer cell subsets and running simulations, the researchers observed that, when tumours were small, producers that contributed to the formation of pre-metastatic niches were more likely to “win” because there were fewer competitors around to overtake them. But once the tumours grew in size, more mutations arose, and thus the pool of competitors increased.

“The mutants that contribute to pre-metastatic niches are more likely to arise in bigger tumours, but are less likely to establish themselves in those tumours,” Akçay says. “That’s the tradeoff.”

“This would predict that some smaller tumours are actually more likely to lead to metastasis,” Qian says, a finding supported by recent observations showing that, indeed, cancer-cell mutations that arise early are more likely to be the source of metastatic disease.

“It happens a lot,” Qian notes, “that by the time a lot of patients identify the primary tumour, there are already the seeds of metastasis elsewhere in the body. So even if you successfully treat the primary tumour, the metastases could take more years to grow and well up later.” While concerning, the study does suggest that cancer therapies may benefit from considering a tumour as an ecosystem, one with clashing and cooperating populations of cells that could be manipulated to a patient’s benefit.

“I think you can bring a lot of ecological and evolutionary theory to bear in designing treatments,” Akçay says.

“There are people who are looking at optimal treatment schedules for controlling the expansions of cell populations and trying to disrupt the dynamics that would allow cancerous and metastatic tumours to grow.

“We’re not there yet—our model is still trying to understand the basic idea—but I think ideas like that can eventually find their way into treatment design.”


Paper: Jimmy J. Qian et al, Competition and niche construction in a model of cancer metastasis, PLOS ONE(2018). DOI: 10.1371/journal.pone.0198163

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The ONA Editor curates oncology news, views and reviews from Australia and around the world for our readers. In aggregated content, original sources will be acknowledged in the article footer.

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