Arterial System Lecture Block 10

Arterial System Bioengineering 6000 CV Physiology

Vascular Structure/Function

Arterial System Bioengineering 6000 CV Physiology Functional Overview

Arterial System Bioengineering 6000 CV Physiology

Vessel Structure

Aorta Vena Cava Venule Diameter 25 mm 4 mm 5 mm 30 mm 30 µm 8 µm 20 µm

Wall 2 mm 1 mm 0.5 mm 1.5 mm 6 µm 0.5 µm 1 µm thickness

Endothelium

Elastic tissue

Smooth Muscle

Fibrous Tissue

Arterial System Bioengineering 6000 CV Physiology Aortic Compliance • Factors: – age 20--24 yrs – athersclerosis 300 • Effects – more pulsatile flow 200 dV 30--40 yrs C = – more cardiac work dP 50-60 yrs – not

Laplace’s Law 100 70--75 yrs

(thin-walled cylinder): Volume [%] T = wall tension P = pressure T = Pr r = radius

For thick wall cylinder 100 150 200 P = pressure Pr Pressure [mm Hg] σ = wall stress r = radius = Tension Wall Stress w = wall thickness w [dyne/cm] [dyne/cm2] 2 x 105 10 x 105 Capillary 15-70 1.5 x 105

Arterial System Bioengineering 6000 CV Physiology

Arterial Hydraulic Filter

Arterial System Bioengineering 6000 CV Physiology Arterial System as Hydraulic Filter

Arterial Cardiac Pressure • Pulsatile --> Output t Physiological smooth flow t Ideal • Cardiac energy conversion

Cardiac • Reduces total Output Arterial cardiac work Pressure t Pulsatile t Challenge

Cardiac Output Arterial Pressure t Filtered t Reality

Arterial System Bioengineering 6000 CV Physiology

Elastic Recoil in

Arterial System Bioengineering 6000 CV Physiology Effects of Vascular Resistance and Compliance

Arterial System Bioengineering 6000 CV Physiology

Cardiac Output vs. Runoff

Arterial Pressure/Flow

Arterial System Bioengineering 6000 CV Physiology Basic Pressure Equations

Mean arterial pressure: which we can approximate as

with ! Ps = systolic pressure

! Pd = diastolic pressure

Total peripheral resistance is

with ! Pa =

! Pra =

! Qr = runoff flow into (=Qh at equilibrium)

If we assume Pra=0

Arterial System Bioengineering 6000 CV Physiology

Time Course of Arterial Flow

Cardiac We can estimate change in arterial volume as: output Runoff flow

Arterial volume (1) change

Arterial compliance we define as (2)

Which we differentiate w.r.t time to get (3)

Substituting (1) into (3), we get (4)

or (5)

Arterial System Bioengineering 6000 CV Physiology Arterial Pressure Response to Cardiac Output

• Stable pressure determined by flow and peripheral resistance

• Increase in CO or Rp

both increase pressure Increase in Qh (CO) or Rp • Pressure always Small Compliance

changes to force CO to P2 equal runoff flow Large Compliance P • Compliance affects rate 1 but not final values Arterial Pressure Arterial

Time

Arterial System Bioengineering 6000 CV Physiology

Pressure and Age (Compliance)

Mean Pressure Pressure

Arterial System Bioengineering 6000 CV Physiology Peripheral Pressure

• Pressure wave velocity

– vp = k/C

– vp increases along the arteries and with age • Pressure wave pulse amplitude grows with distance from – reflection/superposition – decrease in C – dispersion

Arterial System Bioengineering 6000 CV Physiology

Venous System

Arterial System Bioengineering 6000 CV Physiology Venous System

• Venous volume – Large volume, low pressure system – Reservoir of blood (50% of total volume) – Blood loss covered by venous system • , drinking (blood doning) • Venous flow – Skeletal muscle activity – Valves – Breathing – Paristaltic contractions in venules

Arterial System Bioengineering 6000 CV Physiology

Venous Valves

• Muscle pump • Unidirectional flow • Vericose veins

Arterial System Bioengineering 6000 CV Physiology Measurement

Arterial System Bioengineering 6000 CV Physiology

Measuring : Catheters

• Liquid column and external manometer – frequency response of transducer and fluid column – calibration and zeroing – motion artifacts • Manometer-tipped catheters – higher frequency response – less motion artifact

Arterial System Bioengineering 6000 CV Physiology Auscultatory Blood Pressure Method

• Effect of arm position • Alternate measurement locations (leg) • Pressure varies during the day (lowest during sleep) • Psychological bias in measurements (in subject and operator)

Arterial System Bioengineering 6000 CV Physiology

Automated Pressure Measurement

Ausculatory

Oscillometric

Arterial System Bioengineering 6000 CV Physiology Measuring Blood Flow

• Ultrasound flowmeter (velocity) • Electromagnetic flowmeter (velocity) • Thermal dilution • Functional MRI (diffusion or oxygenation)

Arterial System Bioengineering 6000 CV Physiology

Measuring Blood Flow II

• Bioelectric impedance (plethysmography) • Light (pulse oxymetry)

Finger artery Lightproof casing Bone

To device

Elastomer ring

Arterial System Bioengineering 6000 CV Physiology