Matrix-algebra-based calculations of the time evolution of the binary spin-bath model for magnetization transfer

► Modeling of magnetization transfer is achieved employing matrix algebra. ► A polynomial interpolation technique allows for efficient computation. ► The time evolution of the binary spin-bath model is calculated without unwarranted simplifications. ► Digitized RF pulse envelopes as generated on an MR scanner are considered during simulations. ► Application to magnetization transfer experiments in agar gel and human brain yields agreement with published data.