This paper describes a stochastic approach to nematodynamics in a specific case. We start front the director equation derived front the Leslie-Erichsen theory for a monodomain and we assume that the shear rate is a random function of time. This assumption is a simple way to account for the occurrence of noise in the velocity field produced by any thermal or mechanical fluctuations. We show that this approach provides a new framework allowing for the description of transient rheology upon flow inception in low molecular weight nematic liquid crystals. A bidimensional model in which the director stays in the shear plane is developed and compared to experimental data for the tumbling nematic formed by the dissolution of a side-chain polymer in 5CB.