Department of Engineering Science Robin Cleveland 1 Engineering Science What is Engineering? What is Engineering Science at Oxford? Biomedical Ultrasound Applications 2 “Scientists discover … Engineers create” T. von Karman MOTION ENERGY STRUCTURES DESIGN CREATE 3 Motion Aerodynamics: Trains, planes and automobiles, motorbikes, rockets, sails Hydrodynamics:Boats, submarines Fluids: Oil and gas pipelines Artificial hearts DNA chips 4 Production and Manufacturing Automation Materials processing Manufacturing process 5 Energy Engines: Combustion, turbines, electric Power generation: thermal, nuclear, gas turbine, wind HVAC: Heating, ventilation, air-conditioning 6 Structures and Materials Structures: Wings, bridges, bones Micro-devices Nano-devices Materials: Steel, concrete, titanium, Kevlar, plastics, carbon fibre composites 7 WHAT PROFESSIONAL ENGINEERS DO NOT DO (FOR A LIVING) • Repair televisions • Plumbing • Building work • Install telephones • Operate lathes • Tinker with engines Engineering Science at Oxford SELECTION PROCESS Lots of applicants from many countries - need to differentiate attainment from potential Applications read by tutors from two colleges - looking for academic ability and interest engineering - minimum requirement is predicted grades = offer Applicants sit Physics Aptitude Test - compare students with different qualifications All information is used to select candidates ADMISSIONS - INTERVIEWS • Interviews at two Colleges: • first choice (might get reallocated) • second college (allocated by computer) • Interviews ~30-40 minutes • Both on the same day • Accommodation provided if necessary • Probably 15th, 16th & 17th December 2014 ACADEMIC REQUIREMENTS • Maths and Physics @ A Level (or equivalent) SUITABLE 3rd A LEVELS • Chemistry • Computing • Design & Technology • Further Maths • Economics • History/English CURRENT STANDARD OFFERS A Level : A*AA (A* in one of Maths, Physics or FM) Adv. Highers: AAA/AAB IB: 40 points (HL 776 including HL 7 in Maths & Physics) ~20 Open Offers college determined in August YEARS 1 & 2 PROVIDE • A common, broad foundation in the fundamentals of engineering analysis and design in all the major engineering disciplines ~10 HOURS/WEEK OF LECTURES Mechanical Engineering Thermodynamics & Fluid Mechanics Civil & Structural Engineering Materials Electrical & Electronic Engineering Control & Information Engineering Mathematical Methods Business/Management/Economics Design & Engineering Applications SPECIALISATIONS in 3rd and 4th year Students have a free choice of options, each of which is associated with one or two of the following specialisations: • • • • • • Biomedical Engineering Chemical Engineering Civil Engineering Electrical Engineering Information Engineering Mechanical Engineering Biomedical Ultrasound Ultrasound Imaging Shock wave lithotripsy High-intensity focused ultrasound (HIFU) 15 Biomedical Ultrasound, Biotherapy and Biopharmaceutical Laboratory PIs: Constantin Coussios, Eleanor Stride, Robert Carlisle and Robin Cleveland 16 Diagnostic ultrasound ● Imaging contrast in mechanical properties ● Imaging anatomic features ● Measuring blood flow http://www.medical.philips.com/main/products/ultrasound/image_library/ 17 Ultrasound Ø Ultrasound is defined as sound of a frequency higher than the upper limit of the human hearing range (f>20 kHz) Ø Therefore, all ultrasound is sound and the same physical principles that describe sound propagation are fully applicable to ultrasound Ø In biomedical applications megahertz ultrasound is used as it is able to penetrate through the soft tissue of the body as a wave to clinically relevant depths. With some important caveats: bone and air! Ø The motion is described by the wave equation. Ultrasound Physics – Wave Equation 2 2 ∂ p 1∂ p − 2 2 =0 2 ∂ x c0 ∂ t p: pressure (Pa) c0: sound speed (m/s) Right traveling p(t, x) = f (t − x / c0 ) + g(t + x / c0 ) Left traveling Plane progressive wave p(t, x) = f (t − x / c0 ) Intensity p2RM S I= ⇢0 c 0 Power/Area (W/m2) ρ0: density (kg/m3) 19 Speed of Sound, Frequency and Wavelength Ø In many cases sound consists of harmonic waves (sinusoids). Ø The waveform is characterised by one of these properties: f frequency, T period or λ wavelength : c λ = cT = f Ø For air c = 340 m/s, if f =1 kHz, T=1 ms, λ=0.3 m Ø For water/tissue c = 1500 m/s if f=1 MHz, T=1 µs, λ=1.5 mm € Reflection and Transmission – Normal Incidence • Plane interface Pressure coefficients Z2 − Z1 R= Z2 + Z1 2Z2 T= Z2 + Z1 Z1=ρ1c1 Z2=ρ2c2 Incident p=f(t-x/c0) Reflected R•f(t+x/c0) Transmitted T•f(t-x/c0) • Z is the specific acoustic impedance • Z=p/u equivalent to V/I in electrical circuits 21 Sound Speed and Impedance Material Velocity (mm/µs) Impedance(MRayl) Water 1.48 1.48 Blood 1.57 1.61 Liver 1.55 1.65 Kidney 1.56 1.62 Muscle 1.58 1.70 Fat 1.45 1.40 Soft tissue 1.54 1.63 Dense bone 4.10 7.8 Air 0.33 0.0004 22 Impedance Mismatch Specular reflection in the body: Pressure reflection: Energy reflection: Pulse-echo imaging is based on the use of reflected echoes to locate impedance mismatch Soft-tissue: Tissue - bone: Tissue - air: R<0.01 R=0.61 R=-0.9995 23 Impedance Mismatch Soft-tissue: R<0.01 Tissue - bone: R~0.6 Tissue - air: R=-0.9995 24 Oblique Incidence Specular Reflection sin θ i = sin θ r Snell’s Law Z1 y Z2 θR θT θI x sin θ i sin θ t = c1 c2 Rayleigh Reflection Coefficient Z 2 cosθ t − Z1 / cosθ i R= Z 2 cosθ t + Z1 / cosθ i ( c) cosθ t = 1− c2 1 2 sin 2 θ i Total Internal Reflection Ø For c1<c2 , there exists a critical angle θc such that, when θi > θc, cosθ t is imaginary. This critical angle is given by: sin θ C ≡ Ø Ø c1 c2 ; θ C is the "critical angle" Beyond the critical angle the magnitude of the reflection coefficient is €unity. All the incident energy is reflected. This is a condition of total internal reflection. Attenuation: Absorption + Scattering Transmit Receive Absorption: conversion to heat Scattering: energy re-directed out of direction of propagation Plane wave p(x) = p0 e (f )x Attenuation coefficient α (f) Np/m 27 Attenuation In tissue attenuation increases linearly with frequency ↵(f ) = ↵1 f and then report α1 measured at 1 MHz and extrapolate Typical attenuation in soft tissue: Kidney Fat Muscle Skin “Average” 3.7 Np/m/MHz 7.2 Np/m/MHz 15 Np/m/MHz 38 Np/m/MHz 5.8 Np/m/MHz 28 Pulse-Echo Imaging A- Mode Display Electronic System 1 Echo 3 Arrives at Transducer A 3 ‘time’ translated into ‘distance’ via d = ct/2 B C 3 2 D 29 From Goldberg & Kimmelmann (1988) Early Developments Howery's B-29 Ultrasonic Tomographic System Annotated "Image" of the Neck Adapted from Szabo (2004) Milestone Imaging Systems Radar Equipment! J. Reid J.J. Wild Early Mechanically Scanned System Early Phased Array System "HP 70020A" Axial resolution – two targets Transducer Pulses well separated 0 10 20 30 40 Pulses begin to overlap 0 10 20 30 40 Targets non resolved 0 10 20 32 30 40 Axial resolution - improves with higher frequency 2 targets are resolved if: difference in echo time > pulse duration Pulse duration ~ one period Axial resolution inversely proportional to frequency 33 Attenuation affects imaging depth Freq (MHz) λ (mm) Att. coeff. (Np/m) Imaging depth (cm) 2.0 0.75 11.6 20 3.5 0.45 20.3 11 5 0.30 29 8 7.5 0.20 43.5 6 10 0.15 58 4 Wavelength: Frequency ↔ Attenuation ↔ Imaging depth Imaging depth is usually on the order of 400 wavelengths (echo 1%). 34 One Dimensional Array http://www.ndk.com/en/sensor/ultrasonic/basic02.html € Focussed Arrays Arrays can be focused by adding time delays that simulate a curved wavefront. τn [ = 2 r − (x r − x n ) + z r2 c ]+ t r = distance from origin to focal point xn = distance from origin to center of nth element (np) to = constant delay added to avoid negative delays o Focal Volume Approximations Cigar shaped with -6dB dimensions: L-6dB D l-6dB F F : focal length D: transducer diameter Example f = 3.5 MHz l-6dB = 1 mm D=3.0 cm L-6dB = 16 mm F=7.0 cm 37 Doppler: Concepts • Doppler Equation: – f is frequency transmitted – v is velocity of blood – c is sound of speed in medium 38 Doppler Shift • f = 2- 10 MHz • v=0-5 m/s fD=0 - 15 kHz fDis maximised when blood flow is parallel with ultrasound beam fD=0 when blood flow is perpendicular to ultrasound beam 39 Lithotripsy Coupling liquid Semi-ellipsoidal reflector Spark source + 40 p+=40 MPa map13aug:si187z20xp0.6 30 Pressure (MPa) • Extracorporeal shock waves focused onto the stone • 75% of cases in the US • Day surgery • Typically with mild sedation • 1000-4000 SWs at 1-2 Hz (30-90 minutes) • Some discomfort - pain in 10% of patients • Some soreness at shock wave entry site • Hematuria for 1-2 days • Retreatment required in 30 to 50% of cases Kidney stone 20 T+=0.8 µs 10 0 rt=30 ns -10 p-=-10 MPa 0 1 40 2 Time (µs) 3 4 Storz Modulith SLX–F2 Electromagnetic Lithotripter 41 Stone Disintegration 42 42 Ellipsoidal Reflector Ray theory f d KZK equation High Intensity Focused Ultrasound Ultrasound Source Skin Liver Tumor § Frequency ~ 1 MHz § Pressure 10 MPa ~ 100 atm § Duration ~ 10s 44 Not physical therapy § Frequency ~ 1 MHz § Pressure < 1 atm § Duration ~ 30s 45 Focal Region for a Therapy Transducer Normalized Pressure 1 0.8 0.6 0.4 0.2 0 -6 Example f = 1 MHz D=6.4 cm F=6.3 cm l-6dB = 1.5 mm L-6dB = 10 mm -2 0 2 4 6 20 30 Radial Distance (mm) 1 Normalized Pressure Sonic Concepts Model H101 Focal length: 63 mm Aperture: 64 mm Driven at 1 MHz in water -4 0.8 0.6 0.4 0.2 0 -30 -20 -10 0 10 Axial Distance (mm) Heat Deposition by Ultrasound n By conservation of energy, intensity lost due to absorption must go into heat. For a plane harmonic wave dI dz = 2 α( f ) I qs = − where I is the acoustic intensity, α is the attenuation coefficient, which is a function of frequency. Qs has units W/m3. If all heat changes the local temperature then the change in energy: E = mcV T Where cv is the specific heat of the tissue Neglected: conduction and convection (perfusion by blood). Temperature Rise by Ultrasound E = ⇢ V cV t T qs = t ⇢cV T t For tissue cV=4000 J/kg/K Lesion Beef Liver US beam direction 49 Applications of HIFU • Opthamology – FDA approval 1985 • Cancer – Liver, kidney, prostate, breast, brain, skin… • Non Cancer – Uterine fibroids, liver surgery, BPH, … • Trauma Care – Acoustic hemostasis through vessel occlusion • Transcutaneous • Intraoperative HAIFU ‘JC-Tumor Therapy System’ 50 Clinical HIFU at Churchill Hospital Liver cancer trial Superior /Dome 2 days Pre-HIFU 1 day post-HIFU Plane of surgical resection R L Inferior / Free edge Plane of histological slice 51 Conclusions: the future of biomedical ultrasound • Ultrasound is cheap, portable, presents no risk to the user and little or no risk to the patient. • Ultrasound imaging has become widely accepted in the clinical arena providing real-time structural information but can’t penetrate bone or air. • Shock wave lithotripsy is first line treatment for kidney stones. • Ultrasound therapy is emerging for soft-tissue ablation. 53 An Engineering Science degree will allow you to create, by design: Lego Boats Running shoes Cars Trucks Artificial Limbs Power plants Aircraft Planes Motorcycles Pneumatic Drills Baseballs Surgical Tools Golf clubs Heart Valves Robots Breweries Pumps Spacecraft Bicycles Buildings Pipe lines Submarines Trains Jet Engines Ultrasound Scanners Satellites Drug delivery Rockets 54 55 Freq (MHz) λ (mm) Att. coeff. (Np/m) Imaging depth (cm) 2.0 0.75 11.6 20 3.5 0.45 20.3 11 5 0.30 29 8 7.5 0.20 43.5 6 10 0.15 58 4
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