We model the dynamics of formation of intercellular secretory lumens. Using conservation laws, we quantitatively study the balance between paracellular leaks and the build-up of osmotic pressure in the lumen. Our model predicts a critical pumping threshold to expand stable lumens. Consistently with experimental observations in bile canaliculi, the model also describes a transition between a monotonous and oscillatory regime during luminogenesis as a function of ion and water transport parameters. We finally discuss the possible importance of regulation of paracellular leaks in intercellular tubulogenesis.osmoregulation | membrane pumps | lumens | tissue mechanics | E pithelial lumens are ubiquitous in organs. They originate from cavities or tubes surrounded by one (seamless lumen) or multiple cells (1). Ions and other bioactive molecules are secreted into the cavities and, if the lumen is open, flow with the physiological medium. The creation of the lumens orginates from several classes of morphogenetic events (1). In the case of closed lumens (such as acini, blastocytes, canaliculi), ion secretion into the forming cavity creates an osmotic pressure. This results in the passive transport of water into the lumen (most often mediated by aquaporins), which constitutes a major driving component for lumen expansion. This osmotic pressure hypothesis was experimentally proposed in the 1960s (2-4). The expansion is mechanically restrained by periluminal tension. In the case of multicellular lumens (eg: cysts (5-7)), tension results from the contraction of the cells surrounding the lumen. In the case of the intercellular domain, the tension arises from the cortical actin layer surrounding the cavity (8). Fig. 1a illustrates a lumen separating adjacent membranes between two primary rat hepatocytes (liver cells). The contact area between both cells presents an intercellular cleft of around 30-50 nm (9) that accommodates transcellular proteins, adhesion proteins and peptidoglycans. The development of the lumen occurs within 5 to 6 hours. In vivo, closed lumens eventually merge into a network of tubules called canaliculi (2µm diameter and 500 µm long). We recently showed that the shape of these lumen is controlled by the balance of osmotic pressure and anisotropic cortical tension (10). Hepatocyte doublets can be used as meaningful simplified surrogates to study lumen formation (8,11,12). In this instance functional canaliculi grow as spherical caps spanning part of the intercellular space. The simple geometry of the system constitutes an appealing case for quantitative studies.However, this process is rather generic for many kinds of lumen such as Ciona Notochord lumen (1,13,14) or kidney lumens(15). Fig. 1b-c also shows that the steady shape of the lumen depends on the secretory activity, which is boosted by the addition of Ursodeoxycholic acid (UDCA). The growth of the lumen can either be monotonous (Fig. 1c) or pulsatile ( Fig.1d) depending on the periluminal tension and secretory activity. A steady secretion in a closed ...