The present invention relates to a peptide analogue of glucagon-like peptide-1 (7-36), which is useful to prophylactically prevent, improve, or reverse the diminished cognitive function associated with these types of disorders, by increasing (or sustaining) the LTP of synaptic transmission. Moreover, sustaining LTP may find utility in the prophylaxis of neurological disease by delaying the onset of impaired cognitive processes, and could serve as a treatment, not only for the diminished cognitive function caused by neurodegeneration, but also for the dysfunctional cognitive processes associated with trauma or age.
