In certain aspects of the invention, a stackable device includes multiple elements stacked sequentially. A chamber is formed in each of the elements or between adjacent two of the elements, and each chamber is in fluid communication with an input channel and an output channel. The chambers are aligned with each other, and adjacent two chambers are separated from each other by a membrane. In certain aspects of the invention, a system includes at least one stackable device, each stackable device having multiple chambers; and at least one of a perfusion controller, a microformulator, and a microclinical analyzer in fluid communication with the at least one stackable device. In other aspects of the invention, the use of four microformulators, electrodes and an impedance analyzer can measure the impedance spectrum of each barrier in a multi-transwell plate.