So this would be something to measure brain waves, similar to an EKG?
If so, the circuit requirements are then very demanding. Very high gain, fully differential amps, low noise.
Designing such a high performance circuit was done, but the complexity was astronomical. Back in the 1980s I saw an all transistor EKG unit, it contained over 500 discrete transistors. To prevent board leakage, it had Teflon inserts where the critical discrete components were mounted.
Also, it required about half an hour of power up for thermal stabilization. Followed by a nulling procedure.
Opamps, integrate very high performance, thermally matched components. Leakage and parasitics constrained within the package, orders of magnitude better than what a discrete design can achieve.
If a microcontroller is included, then self-nulling and tuning are possible.
Nowadays, but I should mention that I've not yet seen one personally, there is an analog front end, which feeds the signal into a precision ADC.
All the conditioning and analysis is performed in the digital domain.