A computational catheter device including at least one lumen, pressure sensor(s), external sensor(s), a signal modeler, and a signal analyzer is provided. The pressure sensor generates a pressure signal for a dynamic body system, whereas the external sensor determines the fundamental frequency caused by cardiovascular pulsation or external oscillator. The signal modeler uses catheter location and the fundamental frequency to generate a predicted signal. This predicted signal may be compared to the actual pressure signal by the signal analyzer to generate a calibration. This calibration may include any of a measure of perivascular state, a waveform output which causes standing waves within the dynamic body system, a boundary condition for safe operations, and an indication of abnormal physiology for assistance in catheter navigation. The catheter device may also include an actuator which uses the calibration to achieve homeostasis by fluxing fluids and/or guiding catheter movements.
