000000341 001__ 341
000000341 005__ 20260312081915.0
000000341 0247_ $$2DOI$$a10.6083/M4SQ8XCB
000000341 037__ $$aETD
000000341 245__ $$aExact ensemble dynamics for spike-timing-dependent plasticity
000000341 260__ $$bOregon Health and Science University
000000341 269__ $$a2008
000000341 336__ $$aThesis
000000341 502__ $$bM.S.
000000341 520__ $$aSpike‑timing‑dependent plasticity (STDP) describes activity‑dependent synaptic changes driven by the relative timing of pre‑ and postsynaptic spikes and is a fundamental mechanism of neural plasticity. Synaptic weight dynamics under STDP can be modeled as a stochastic Markov process governed by a master equation. While previous work approximated equilibrium behavior using a truncated Fokker–Planck equation, this approach is not always accurate. This study shows that when jump moments satisfy specific polynomial conditions, the Kramers–Moyal expansion yields closed‑form recurrences for synaptic weight moments. Applying this method to an antisymmetric STDP model yields exact equilibrium moments, which are validated through simulations across a broad parameter range.
000000341 540__ $$fCC BY
000000341 542__ $$fIn copyright - single owner
000000341 650__ $$aSynapses$$026704
000000341 650__ $$aNeuronal Plasticity$$022857
000000341 650__ $$aMarkov Chains$$021846
000000341 6531_ $$akramers-moyal expansion
000000341 6531_ $$asynaptic weights
000000341 6531_ $$astochastic approaches
000000341 6531_ $$ahebbian plasticity
000000341 6531_ $$afokker-planck equation
000000341 691__ $$aSchool of Medicine$$041369
000000341 692__ $$aDepartment of Science and Engineering$$041447
000000341 7001_ $$aAdrian, Frank$$uOregon Health and Science University$$041354
000000341 7201_ $$aLeen, Todd$$uOregon Health and Science University$$041354$$7Personal$$eAdvisor
000000341 8564_ $$9a0ff03f2-b0f1-4880-a99c-c125f0a075b7$$s1755731$$uhttps://digitalcollections.ohsu.edu/record/341/files/342_etd.pdf$$ePublic$$262767b2ba79311c4135584af9b0bfcad$$31
000000341 905__ $$a/rest/prod/ng/45/1h/51/ng451h51g
000000341 909CO $$ooai:digitalcollections.ohsu.edu:341$$pstudent-work
000000341 956__ $$aGet Accessible Copy$$uhttps://ohsu.libwizard.com/f/requestaccessibledocument
000000341 980__ $$aTheses and Dissertations