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Some Quantum Gravity (QG) theories, aiming at unifying general relativity andquantum mechanics, predict an energy-dependent modified dispersion relation forphotons in vacuum leading to a Violation of Lorentz Invariance (LIV). One wayto test these theories is to monitor TeV photons time-of-flight emitted bydistant, highly energetic and highly variable astrophysical sources such asflaring active galactic nuclei. Only one time-lag detection was reported sofar. We have recently shown however that significant intrinsic time-lags shouldarise from in situ blazar emission processes at TeV energies and shouldconsequently interfere with LIV searches. In this contribution we will reviewhow intrinsic time delays and LIV-induced propagation effects cansimultaneously impact blazars' observed spectral energy distributions andlightcurves. Using a time-dependent approach, we provide predictions on bothcontributions for various cases in the frame of a standard one zonesynchrotron-self-Compton (SSC) model. We will also introduce hints and methodson how to disentangle intrinsic time delays from extrinsic ones in order tohighlight LIV effects.

Modeling intrinsic time-lags in flaring blazars in the context of Lorentz Invariance Violation searches