A process which results in the assembly, arrangement of constituent parts, or disassembly of a presynaptic membrane, including any proteins associated with the membrane, but excluding other cellular components. A presynaptic membrane is a specialized area of membrane of the axon terminal that faces the plasma membrane of the neuron or muscle fiber with which the axon terminal establishes a synaptic junction. [ http://www.ncbi.nlm.nih.gov/pubmed/19730411 ]