A sense structure may include sense amplifiers each having measuring and reference terminals for receiving a measuring and a reference current, respectively, output circuitry for providing an output voltage based upon the measuring and reference currents, and voltage regulating circuitry in cascode configuration for regulating a voltage at the measuring and reference terminals. The regulating circuitry may include measuring and regulating transistors and a reference regulating transistor having a first conduction terminal coupled with the measuring terminal and with the reference terminal, respectively, a second conduction terminal coupled with the output circuitry and a control terminal coupled with a biasing terminal. Biasing circuitry is for providing a biasing voltage to the biasing terminal, and common regulating circuitry is for regulating the biasing voltage. Each sense amplifier may also include local regulating circuitry for regulating the biasing voltage applied to the biasing terminal.