A system and urine sensing devices for and method of monitoring kidney function is disclosed, wherein acute kidney injury (AKI). Namely, a kidney function monitoring system provides a portable urine monitor system that can provide real-time and continuous feedback about urine output and/or level of at least one urinary component (e.g., sodium). The kidney function monitoring system further comprises at least one urine sensing device, wherein the urine sensing device comprises a digital weight scale, a stand onto which a urine collection vessel can be positioned, and an interface between the digital weight scale and the stand that transfers the force of the stand and contents of the urine collection vessel to the digital weight scale. Further, the portable monitoring device comprises an adaptive and modular self-learning algorithm for the real-time assessment of AKI risk.