Mathematical, Computational Modeling Sciences Center, Arizona State University, Tempe, Arizona, United States of America.
PLoS One. 2011;6(12):e28576. doi: 10.1371/journal.pone.0028576. Epub 2011 Dec 14.
As tumors outgrow their blood supply and become oxygen deprived, they switch to less energetically efficient but oxygen-independent anaerobic glucose metabolism. However, cancer cells maintain glycolytic phenotype even in the areas of ample oxygen supply (Warburg effect). It has been hypothesized that the competitive advantage that glycolytic cells get over aerobic cells is achieved through secretion of lactic acid, which is a by-product of glycolysis. It creates acidic microenvironment around the tumor that can be toxic to normal somatic cells. This interaction can be seen as a prisoner's dilemma: from the point of view of metabolic payoffs, it is better for cells to cooperate and become better competitors but neither cell has an incentive to unilaterally change its metabolic strategy. In this paper a novel mathematical technique, which allows reducing an otherwise infinitely dimensional system to low dimensionality, is used to demonstrate that changing the environment can take the cells out of this equilibrium and that it is cooperation that can in fact lead to the cell population committing evolutionary suicide.
当肿瘤生长超出其血液供应并变得缺氧时,它们会转而采用能量效率较低但不依赖氧气的无氧葡萄糖代谢。然而,癌细胞即使在氧气供应充足的区域也能维持糖酵解表型(Warburg 效应)。据推测,糖酵解细胞相对于需氧细胞获得的竞争优势是通过分泌乳酸实现的,乳酸是糖酵解的副产物。它在肿瘤周围产生酸性微环境,对正常体细胞有毒。这种相互作用可以看作是囚徒困境:从代谢收益的角度来看,细胞合作并成为更好的竞争者是更好的选择,但没有一个细胞有动力单方面改变其代谢策略。在本文中,使用了一种新颖的数学技术,该技术可以将原本无限维的系统降低到低维,用于证明改变环境可以使细胞摆脱这种平衡,而实际上是合作可以导致细胞群体进行进化自杀。