Before revision:  Motivated by the need to interpret dMRI experiments on skeletal muscle , and to offset the small time step limitation of classical LBM, a hybrid LBM scheme is introduced and implemented to solve the Bloch-Torrey equation in a tissue model consisting of cylindrical inclusions (representing bundles of parallel myocytes), delineated by thin permeable membranes (sarcolemma) and surrounded by an extracellular domain (endomysium) .
After revision:  Motivated by the need to interpret dMRI experiments on skeletal muscle , and to offset the small time step limitation of classical LBM, a hybrid LBM scheme is introduced and implemented to solve the Bloch-Torrey equation . A membrane boundary condition is presented which is able to accurately represent the effects of thin curvilinear membranes typically found in biological tissues .