This chapter is based on the premise that conceptual models from mainstream and subcultural explanations of deviance should be integrated into extended models that distinguish between the universal and culturally specific aspects of theories. This strategic approach has been used in a series of analyses attempting to extend Elliott and Associates' Integrated Social Control (ISC) model to drug use and delinquency among Puerto Rican youth. This chapter summarizes these analyses and amplifies them by considering in greater depth how the theoretical assumptions and methodological approaches to the notion of accumulation may be integrated with mainstream approaches. Individual sub-sections examine: mainstream and subcultural explanations of drug use; application of the ISC model to Puerto Rican youth; and interrelationships between acculturation and ISC factors in explanation of Puerto Rican drug use and delinquency. Figures, tables, references