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Table 1 Set parameters for the biomechanical heart model (SI units)

From: Sequential data assimilation for mechanical systems with complex image data: application to tagged-MRI in cardiac mechanics

 

Valve

Base

Left Vent.

Right Vent

\(C_0\)

\(85.5\cdot 10^3\)

\(28.5\cdot 10^3\)

\(5.7\cdot 10^3\)

\(5.7\cdot 10^3\)

\(C_1\)

\(1.1\cdot 10^{-1}\)

\(1.1\cdot 10^{-1}\)

\(1.1\cdot 10^{-1}\)

\(1.1\cdot 10^{-1}\)

\(C_2\)

\(57\cdot 10^3\)

\(28.5\cdot 10^3\)

\(5.7\cdot 10^3\)

\(5.7\cdot 10^3\)

\(C_3\)

\(1.1\cdot 10^{-1}\)

\(1.1\cdot 10^{-1}\)

\(1.1\cdot 10^{-1}\)

\(1.1\cdot 10^{-1}\)

\(\eta \)

\(7\cdot 10^1\)

\(7\cdot 10^1\)

\(7\cdot 10^1\)

\(7\cdot 10^1\)

\(\kappa \)

\(2\cdot 10^5\)

\(2\cdot 10^5\)

\(2\cdot 10^5\)

\(2\cdot 10^5\)

\(\alpha \)

1.5

1.5

1.5

1.5

\(\sigma _0\)

\(6.2\cdot 10^5\)

\(6.2\cdot 10^5\)

\(6.2\cdot 10^5\)

\(7.44\cdot 10^5\)

\(k_0\)

\(1.0\cdot 10^5\)

\(1.0\cdot 10^5\)

\(1.0\cdot 10^5\)

\(1.0\cdot 10^5\)

\(\mu \)

\(7\cdot 10^1\)

\(7\cdot 10^1\)

\(7\cdot 10^1\)

\(7\cdot 10^1\)

\({{\mathrm {E}}}_s\)

\(3.0\cdot 10^7\)

\(3.0\cdot 10^7\)

\(3.0\cdot 10^7\)

\(3.0\cdot 10^7\)

  1. The last five parameters concern the active part of the constitutive law, and are defined in details in [27]