Biofluids such as blood, as well as other structured materials, exhibit rat
her complex rheological behaviour. In this paper, starting from a first-ord
er kinetic model, we developed a constitutive equation and studied its appl
icability to model biofluids. In particular, we studied the cases of simple
shear flow, hysteresis and yield stress. Model predictions were successful
ly compared with experimental data on complex materials such as blood and a
penicillin suspension.