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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
Lecture 8

  • Continuation of last time

  • Stress Tensor- applied to blood forces

  • Test




3 dimensional stresses stress tensor

Y

X

Z

3-Dimensional stresses (stress tensor)



Blood forces on ecs

y

x

z

Blood Forces on ECs

Y.C. Fung


Analysis of ec upper membrane

y

x

z

Analysis of EC upper membrane

Symmetrical

(Fluid Mosaic)


y

x

z

On surface facing

blood

On surface facing

cytosol


Static eq

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)


Stress on cell from flow

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
Fluid Pressure is omnidirectional

Hence P1=P2=P3=P4=P5 =P


Coding of probability
Coding of Probability

Integral pulse frequency modulation

Probability Pulse frequency and width Modulation


Pulse width modulator
Pulse Width Modulator

Inputs

Leaky integrator

Thresholder

Pulses

out

Reset




1/s

X2

+

1/s

X1

-

1

3


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