Lecture 13 Microfluidics handout(1)

Lecture 13 Microfluidics handout(1) - Microfluidics Dr....

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Microfluidics Dr. Molly Frame October 19, 2011
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The Cardiovascular System
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Microcirculation - <200μm diameter Muscle preparation – Dr. M. Boerghold Cross-sectional area increases Aorta = 7.2 cm 2
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Cross-sectional area in the CV system 4500 cm 2 400cm 2 7.2 cm 2
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Large systemic artery wall Large vessels >200μm diameter
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Microcirculation <200μm diameter 25 μm diameter arteriole Endothelial layer Vascular smooth muscle layer Dye injected into endothelial cell diffuses to the connected EC through gap junctions. Dye filled smooth muscle cell does not diffuse as readily. Images: Roger Adamson, Michael Davis, Brian Duling
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Blood flowing in small arterioles Fluorescently labeled red blood cell used as a flow marker
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Mechanical responses to force Rigid body Elastic body Plastic body Fluid body
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What makes fluid flow? Ohm’s Law: V = i R P1 - P2 = P = Q x TPR Flow is the driving force against resistance P 1 P 2 Q
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Fluid movement Fluids move from high pressure to low pressure Gravity is the primary driving force Niagara Falls
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Fluid movement Fluids move from high pressure to low pressure P1 P2
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Blood Pressure
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Hydrostatic Pressure P 1 P 2 P = P 1 -P 2 •Dynamic (axial) pressure driving force in tube •keeps blood flowing P vascular P interstitial P = P vascular interstitial •transmural pressure •static pressure driving force out of tube •edema formation
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Single phase fluid Newtonian fluids pieces of fluid (fluid elements) are continuous with each other without empty spaces in-between.
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Calculating Flow Q, flow, ml/min = cm 3 /min P, torr = mmHg = dyn/cm 2 = 0.73 cmH 2 0 R, dyn*s/cm 5 V, cm/s A, cm 2 HR, beats/min SV, ml/beat Q = P/R Q = V x A Q = HR x SV
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Poiseuille’s Law = Q = ( P)r 4 /8 l Q = P/R, R = 8 l/ r 4 or , viscosity of the fluid, cP l, length of the tube, cm r 2 , cross-sectional area, r in cm 8/r 2 , a fudge factor assuming a parabolic velocity profile P1 P2 r l
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Faster fluids in the centerline .
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Entry length, l e The entry length is the distance from the entrance where the centerline velocity has reached 99% of its Poiseuille flow value.
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This note was uploaded on 11/28/2011 for the course BME 100 taught by Professor Dr.frame during the Spring '11 term at SUNY Stony Brook.

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Lecture 13 Microfluidics handout(1) - Microfluidics Dr....

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