Droplet interface bilayers (DIBs) are stabilized water-in-oil emulsions developed as a simplified replica of cellular membranes. They represent the primary architecture of these biological systems: a double layer of phospholipids. Phospholipids are amphiphilic molecules, where their hydrophobic fatty acid chains are electrically insulating compared to their hydrophilic headgroups holding electrical charges. This profile facilitates their self-assembly property forming a lipid monolayer at a polar-nonpolar interface and defining its electrostatic properties. For DIBs, these monolayers are formed on the surrounding surface of aqueous droplets in an oil reservoir. The lipid membrane is then formed at the adhered interface of two lipid-coated droplets.DIBs equilibrium is described by the balance of surface tensions and membrane electrophysiology. In fact, surface tension is a dominant force in emulsion systems and the balance between monolayer and membrane tensions governs the favorability of membrane formation influencing its size and activities. Furthermore, DIBs are semi-permeable allowing for the variable and controllable formation of conductive pathways, whereas the difference in dielectric permittivity between the insulating hydrophobic inner region and the electrically charged outer surfaces leads to a capacitor-like behavior. Thus, DIBs are electrically analogous to a capacitor and a resistor in parallel. This well-established representation of lipid membranes is the basis for the electrical characterization techniques developed herein, while advantageously utilizing the complexity of DIB systems. In this dissertation, novel membrane electrophysiology characterization techniques are developed and implemented based on these soft membranous systems. First, the effect of membrane electrocompression on lipids packing is investigated through advanced energy calculations. Then, tracking changes in cross-membrane electrostatics allows for the real-time characterization of nanoparticles surface interaction prior to membrane deterioration. Finally, an unprecedented multiphysics model simulates the response of networks of membranes under electrical manipulations. This dissertation re-enforces DIBs advantages in studying membrane mechanics, specifically through their coupled electrical-emulsion properties.