Neural correlates of inhibitory control in relation to the degree of substance use and substance-related problems – A systematic review and perspective

•Substance use disorders (SUDs) are associated with inhibitory deficits.•Review on continuous associations of inhibition-related neural activity in SUDs.•Altered inhibition-related neural activity may relate to the degree of substance use.•The specific link of inhibition-related neural activity to SUDs remains unclear.•Dimensional approaches may reveal specific links to substance-related problems.