Hypoxia is a near-universal feature of cancer, promoting glycolysis, cellular proliferation, and angiogenesis. The molecular mechanisms of hypoxic signaling have been intensively studied, but the impact of changes in oxygen partial pressure (pO 2 ) on the state of signaling networks is less clear. In a glioblastoma multiforme (GBM) cancer cell model, we examined the response of signaling networks to targeted pathway inhibition between 21% and 1% pO 2 . We used a microchip technology that facilitates quantification of a panel of functional proteins from statistical numbers of single cells. We find that near 1.5% pO 2 , the signaling network associated with mammalian target of rapamycin (mTOR) complex 1 (mTORC1)-a critical component of hypoxic signaling and a compelling cancer drug target-is deregulated in a manner such that it will be unresponsive to mTOR kinase inhibitors near 1.5% pO 2 , but will respond at higher or lower pO 2 values. These predictions were validated through experiments on bulk GBM cell line cultures and on neurosphere cultures of a human-origin GBM xenograft tumor. We attempt to understand this behavior through the use of a quantitative version of Le Chatelier's principle, as well as through a steady-state kinetic model of protein interactions, both of which indicate that hypoxia can influence mTORC1 signaling as a switch. The Le Chatelier approach also indicates that this switch may be thought of as a type of phase transition. Our analysis indicates that certain biologically complex cell behaviors may be understood using fundamental, thermodynamics-motivated principles.cancer biology | microfluidics | single-cell proteomics | brain cancer I n most solid organ cancers, increased interstitial pressure, vascular constriction, abnormal leaky blood vessels, and edema result in a hypoxic microenvironment, particularly in the center of the tumor (1-5). Hypoxia, in part by stabilizing the hypoxiainducible transcription factor (HIF), can increase the biological aggressiveness of tumors, promoting glycolysis, cellular proliferation, and angiogenesis; it can also make tumors less responsive to many therapies (6-9).Signaling through mammalian target of rapamycin (mTOR) is often a critical component of the hypoxic response (10-13). Amplification and activating mutations of receptor tyrosine kinases; mutation of phosphoinositide 3-kinase (PI3K) and its regulatory subunits; and loss of the phosphatase and tensin homolog (PTEN) tumor suppressor protein can lead to elevated growth factor-independent activation of mTOR signaling (10,14). The hypoxic microenvironment indirectly regulates mTOR, in part by regulating intracellular ATP levels (15), to promote tumor cell growth and proliferation. Such regulation can occur via activation of hypoxia-inducible factor-1α (HIF-1α)-dependent glycolysis, and by stimulating angiogenesis (16). Most models of mTOR signaling in cancer assume a continuous relationship among the level of growth factor receptor pathway signaling, and/or ATP and nutrient levels, and the degree o...