Mathematical Institute and OCCAM University of Oxford

Paul C Bressloff

Description

Niveau: Supérieur, Master
On the master equation approach to stochastic neurodynamics Paul C Bressloff Mathematical Institute and OCCAM, University of Oxford January 18, 2010 Paul C Bressloff On the master equation approach to stochastic neurodynamics

• wilson-cowan equations


• master equation


• nk


• homogeneous networks labelled


• state transition


• transition rate

Sujets

• Master equation
• State transition table

Informations

• Publié par: profil-mupheg-2012
• Nombre de lectures: 6
• Langue: English

Extrait

Onthemasterequationapproachtostochasticneurodynamics PaulCBressloff MathematicalInstituteandOCCAM,UniversityofOxford aPlu January18,2010 CrBselsffonOhteamtsreqeauitnoparpaohcottsohcsaitcenruoydanimsc

raPt.IMasterequation luaPCBressloffnOtehmasterequationapproachototschasticoruendynamics

MasterequationI ConsiderMhomogeneousnetworkslabelledk=1,...M,eachcontainingN identicalneurons Assumethateachneuroncanbeinoneoftwostates,quiescentoractiveie.in theprocessofgeneratinganactionpotential. Supposethatintheinterval[t,t+Δt)therearen k (t)activeneuronsinthekth population Definepopulationactivityintermsofthefractionofactiveneuronsaccordingto aPluCrB u (N) (t)= n k (t) . k N selsffonOhteamtsreqeauitnoparpaohcottsohcsaitcenruoydanimsc