The concept of an epigenetic landscape describing potential cellular fates arising from pluripotent cells, first advanced by Conrad Waddington, has evolved in light of experiments showing nondeterministic outcomes of regulatory processes and mathematical methods for quantifying stochasticity. In this Review, we discuss modern approaches to epigenetic and gene regulation landscapes and the associated ideas of entropy and attractor states, illustrating how their definitions are both more precise and relevant to understanding cancer etiology and the plasticity of cancerous states. We address the interplay between different types of regulatory landscapes and how their changes underlie cancer progression. We also consider the roles of cellular aging and intrinsic and extrinsic stimuli in modulating cellular states and how landscape alterations can be quantitatively mapped onto phenotypic outcomes and thereby used in therapy development.

Living cells and the extracellular matrix (ECM) can exhibit complex interactions that define key developmental, physiological and pathological processes. Here, we report a new type of directed migration—which we term ‘topotaxis’—guided by the gradient of the nanoscale topographic features in the cells’ ECM environment. We show that the direction of topotaxis is reflective of the effective cell stiffness, and that it depends on the balance of the ECM-triggered signalling pathways PI(3)K–Akt and ROCK–MLCK. In melanoma cancer cells, this balance can be altered by different ECM inputs, pharmacological perturbations or genetic alterations, particularly a loss of PTEN in aggressive melanoma cells. We conclude that topotaxis is a product of the material properties of cells and the surrounding ECM, and propose that the invasive capacity of many cancers may depend broadly on topotactic responses, providing a potentially attractive mechanism for controlling invasive and metastatic behaviour.

Significance: What new properties may result from collective cell behavior, and how may these emerging capabilities influence shaping and function of tissues, in health and disease? Here, we explored these questions in the context of epithelial branching morphogenesis. We show experimentally that, whereas individual mammary epithelial cells are incapable of sensing extremely weak gradients of a growth factor, cellular collectives in organotypic cultures exhibit reliable, gradient-driven, directional growth. This underscores a critical importance of collective cell–cell communication and computation in gradient sensing. We develop and verify a biophysical theory of such communication and identify the mechanisms by which it is implemented in the mammary epithelium, quantitatively analyzing both advantages and limitations of biochemical cellular communication in collective decision making.

Migration of neural progenitors in the complex tissue environment of the central nervous system is not well understood. Progress in this area has the potential to drive breakthroughs in neuroregenerative therapies, brain cancer treatments, and neurodevelopmental studies. To a large extent, advances have been limited due to a lack of controlled environments recapitulating characteristics of the central nervous system milieu. Reductionist cell culture models are frequently too simplistic, and physiologically more relevant approaches such as ex vivo brain slices or in situ experiments provide little control and make information extraction difficult. Here, we present a brain-on-chip model that bridges the gap between cell culture and ex vivo/in vivo conditions through recapitulation of self-organized neural differentiation. We use a new multi-layer silicone elastomer device, over the course of four weeks to differentiate pluripotent human (NTERA2) cells into neuronal clusters interconnected with thick axonal bundles and interspersed with astrocytes, resembling the brain parenchyma. Neurons within the device express the neurofilament heavy (NF200) mature axonal marker and the microtubule-associated protein (MAP2ab) mature dendritic marker, demonstrating that the devices are sufficiently biocompatible to allow neuronal maturation. This neuronal-glial environment is interfaced with a layer of human brain microvascular endothelial cells showing characteristics of the blood–brain barrier including the expression of zonula occludens (ZO1) tight junctions and increased trans-endothelial electrical resistance. We used this device to model migration of human neural progenitors in response to chemotactic cues within a brain-tissue setting. We show that in the presence of an environment mimicking brain conditions, neural progenitor cells show a significantly enhanced chemotactic response towards shallow gradients of CXCL12, a key chemokine expressed during embryonic brain development and in pathological tissue regions of the central nervous system. Our brain-on-chip model thus provides a convenient and scalable model of neural differentiation and maturation extensible to analysis of complex cell and tissue behaviors.