Large amounts of renewable generation are participating into network-constrained electricity networks. The uncertainty and volatility associated to renewable resources are imposing new challenges for power system operation. Additionally, the integration of demand response resources represent a new challenge, creating new complexities in the power system operation. The operation decisions in power markets use a combined optimal power flow and unit commitment to dispatch economically generation units under security restrictions. This paper constructs a model to include demand response in the optimal power flow under wind power uncertainty. The model is formulated as a mixed-integer linear quadratic problem and evaluated through Monte-Carlo simulations. The uncertainty in wind power forecasting is captured by a large number of scenarios around a trajectory bid by the wind power generator. The proposed model is tested on the standard IEEE 39-bus system including numerical results that show substantial benefits.