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Table 1 Table of parameters

From: Two-domain mechanics of a spherical, single chamber heart with applications to specific cardiac pathologies

Parameter

Value

Comment

Chamber Pressure

q 0  = 100 mmHg

A time-average value on the order of the chamber pressure during ventricular systole

Pericardial Pressure

q 1  = 2 mmHg

 

Extracellular Shear Modulus

G = 104 Pa

 

Ratio of Elastic Moduli

μ/G = 3

Based on Ohayan, et al. Implies Δ = Π in Eqs. 27 & 28

Active Tension

T 0 = 100 N/m 2

A time-average value on the order of systole for isolated myocytes (Chen & Varghese 2010)

Radius of Inner Chamber

a = 3.14 cm

Implies an inner chamber volume similar to the human left ventricle

Radius of Spherical Heart

b = 4.24 cm

Implies a wall thickness similar to the human left ventricle

Estimate of Coupling Parameter

K ≳ 109 − 1010 N/m 3

Based on experimental data of 5 to 6 mm displacement in canines, Eqs. 29 & 31, and Figure 3

  1. Values of chamber pressure, pericardial pressure, and active tension used are approximately time averaged over one cardiac cycle in order to discuss general trends in pressure and displacement relationships. Figures 3 and 4 assume the ratio of the intracellular Young’s modulus μ to the extracellular shear modulus G is approximately 3; while no particular value of extracellular shear modulus is assumed in these figures, a commonly accepted value is included here for reference. Analysis based on Figure 3 provides an estimate of the coupling spring constant K.