Figure 14
From: Passive and active ventricular elastances of the left ventricle
Dynamic equilibrium of a myocardial element. Dynamic equilibrium of a myocardial element. Element mass m
e
= ρ(2r1dθ1)(2r2dθ2)h = (ρh)(4r1r2dθ1θ2) = ρhA
e
= m
s
A
e
; dσ
i
= (dP
el
)(r
i
) / (2h), (i = 1, 2); dP
el
is the incremental elastic-recoil pressure. For dynamic equilibrium of the myocardial element, m
e
+ 2(dσ1)(2r2dθ2h) + 2(dσ2)(2r1dθ1h) - A
e
dP
LV
= 0, or m
e
+ A
e
dP
el
- A
e
dP
LV
= 0. For our LV spherical geometry model, r1 = r2 and dσ1 = dσ2.