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Lecture 8. Continuation of last time Stress Tensor- applied to blood forces Test. Mechanical Models. Voigt solution. Y. X. Z. 3-Dimensional stresses (stress tensor). Stress components @ Equilibrium. y. x. z. Blood Forces on ECs. Y.C. Fung. y. x. z.
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Lecture 8 • Continuation of last time • Stress Tensor- applied to blood forces • Test
Y X Z 3-Dimensional stresses (stress tensor)
y x z Blood Forces on ECs Y.C. Fung
y x z Analysis of EC upper membrane Symmetrical (Fluid Mosaic)
y x z On surface facing blood On surface facing cytosol
y x z Static Eq
y x z On surface facing blood Define We need membrane tension as f(t)
y x z (if Tx= 0 @ x=0)
For t = 1 N/m2 , L= 10 mm, h = 10 nm Stress on cell from flow @ x = -L 0 L For L= 1 cm, sxx= 106
Fluid Pressure is omnidirectional Hence P1=P2=P3=P4=P5 =P
Coding of Probability Integral pulse frequency modulation Probability Pulse frequency and width Modulation
Pulse Width Modulator Inputs Leaky integrator Thresholder Pulses out Reset
1/s X2 + 1/s X1 - 1 3