One contribution of 7 to a theme issue '3D biological cultures and organoids'.While two-dimensional (2D) cell models and animal models have played central roles in advancing knowledge and understanding of cell biology, neither can accurately recapitulate human tissue physiology and its pharmacological response to drugs. For example, up to 50% of compounds eliciting liver injury in man do not show similar effects in animal studies [1]. Increasing awareness of these deficiencies has led to the development of a range of three-dimensional (3D) cell culture models of human tissues, which include unicellular and multicellular models based on known cellular compositions of particular human tissues, and tissue stem cell-derived organoids, collectively termed here micro-tissues. These have enormous potential for helping to elucidate human physiology, mechanisms of disease and their safe treatment [2]. Exploitation of the 3D models is limited by several major challenges. Drug discovery, cell therapy and personalized medicine applications require suites of new technologies that replicate biophysical cell growth conditions, enhance the reproduciblity of micro-tissue handling and, importantly, provide analytical options that capture the complexity of the cellular structures that can now be generated. This requires sustained interdisciplinary collaborations and innovations in the physical sciences. Indeed, many routine research methods do not easily translate from two dimensions to three.This theme issue showcases current research which aims to tackle some of the challenges associated with developing 3D tissues. The contributions come from members of a Medical Research Council (MRC) funded network, 3DBioNet, which aims to establish multidisciplinary teams of scientists from industry and academia who together possess the diverse skills needed to develop 3D micro-tissues. As explained below, the six featured articles span mathematical and computational modelling [3], bioreactor design [4], organoid development [5] and image acquisition and analysis [6].Several papers in this theme issue are devoted to perfusion bioreactors, recognizing that flow bioreactors provide a more realistic environment within which to study cells. For example, in [7], attention focuses on the use of perfusion bioreactors to assess the chemical safety and efficacy of drugs. The authors develop a mathematical/computational model that characterizes the fluid flow and solute transport in a perfusion bioreactor with a single inlet and single outlet. Numerical simulations are used to derive simple relationships between the solute concentration and shear stress experienced by cells seeded in the bioreactor and operating conditions, such as the input flow rate, and the manner in which the cells uptake the solute. In this way, Hyndman et al.[7] use their computational model to identify operating conditions that should be avoided because they would be deleterious to the cells. The computational model is then specialized to describe fluid flow and solute transport ...