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Published byDuane Fletcher Modified over 9 years ago
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Lulu Chu & Chenhong Zhu 08-02-12 CHSL
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Rationale: Nonlinear Functional Changes in Aortic Banding Heart Failure Animal Model
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Project Objective 1 and Method Objective: To understand how functional changes in SERCA or NCX influence the Cai oscillation and the transient amplitude/frequency in a compartmental model using parametric studies and bifurcation analysis based on experimental data Method: – Identify a good minimal ODE model for Ca dynamics including targets of interest and simulate in XPP – Include realistic buffering effect in cytosol and SR (Greenstein & Winslow 2006) – Replace PMCA with NCX formulation from Luo&Rudy 1994 or Weber et al. 2001 – Parametric studies of SERCA, NCX, and determine which has a more profound impact on Ca oscillation amplitude and frequency in heart failure conditions
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Preliminary Results: Calcium Dynamics Cytosol SR SERCA Leak RyR LCC PMCA/NCX Model replication
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Preliminary Results normal Reduced SERCA Increased Extrusion Normal Cai vs vSERCA Cai vs vPMCA normal
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Project Objective 2 and Method Objective: Better understand Cai traveling wave in 1D space with the fire-diffuse-fire model and investigate how SERCA or NCX or RyR changes results in wave propagation failure. Method: – Derive a new 1D PDE for Cai which includes the buffering effect in cytosol based on rapid buffer approximation (RBA) and fluxes of interests – Implement the model using finite difference scheme in XPP or Matlab to do numerical integrations with new parameters set from the first objective – Parametric studies of SERCA and NCX functions and investigate how they change normal behavior of Cai wave speed and propagation
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Model Plan for 1D Ca Traveling Model RBA Treat all the fluxes as point sources Use finite difference method
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Anticipated Difficulties XPP numerics issue Implementation with 1D PDE model and position of Ca reaction (influx/efflux)
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