Biomechanics:
What is Biomechanics?
Apply principles from classical mechanics to study the movement of living systems
From your muscles and bones to your tendons and ligaments – Biomechanics analyzes how different body parts work together to produce movement.
Kinetics: deals with forces that cause motion only
Kinematics: deals objects solely in terms of their position, velocity, and acceleration
Kinetics quantities: force, torque (Moment of force), power, and work
Kinematics quantities: time, position, displacement (distance), velocity (speed), and acceleration
Applications of biomechanics:
Musculoskeletal disorders: Assessing joint forces and mechanics in conditions like osteoarthritis to understand pain mechanisms and design appropriate treatment strategies.
Gait analysis: Studying walking patterns to identify imbalances or abnormalities in patients with neurological conditions, joint pain, or musculoskeletal disorders, allowing for tailored interventions.
Prosthetics design: Utilizing biomechanical principles to design prosthetic limbs that mimic natural movement patterns and optimize function.
Sports medicine: Evaluating athletic movements to identify biomechanical factors contributing to injuries and optimize performance.
Cardiovascular disease: Studying blood flow dynamics in arteries to assess the risk of cardiovascular events and design interventions for conditions like atherosclerosis.
Bioinstrumentation:
Bioinstrumentation is the application of electronics and measurement principles to develop devices used in diagnosis and treatment of disease
What do biomedical engineers do in bioinstrumentation?
Invent, design, build, and test devices for use in medicine, provide training to use such devices, overseeing maintenance, and take measurements + give data for diagnosis
Measurement Systems:
Input → Sensor → Processor → Receiver → Output
Clinic Input: Temperature, oxygen saturation, blood pressure, biopotentials
Lab input: pH, glucose, light absorbance, blood cell counts, fluorescence
Sensor: detects the physiological parameter and converts the input parameter into a signal, usually an electrical voltage or current, varies in a predictable and reliable way with changes in the input
Processor: modify the received signal, eg; signal amplification; filter to remove unwanted information; comparison to signals from previous measurements or control signals
Receiver: display, store or communicate the signal in interpretable way (usually a digital readout)
Type of Sensors:
Thermal | Sensing element: Thermocouple, thermistor
Mechanical | Strain gauge, piezoelectric sensor
Electrical | Electrode
Chemical | Electrode
Optical | Photoiodide, photomultiplier
Ohm’s Law: I = ΔV/R or ΔV = iR
ΔV = potential difference or voltage drop across an ideal conductor
I = current, amperes (amp)
R = resistance of the conductor (ohm, 1V/amp)
Circuit analysis:
For a circuit consisting of a single resistor and voltage source, Ohm’s law can be applied
For analyzing circuits containing multiple sensors: use Kirchoff’s current and voltage law (Sum of N|n-1 i = 0 and Sum of N|n-1 V = 0)
Thermal Sensors:
Thermocouple: fusing two dissimilar metals to produce two junctions, records voltage difference depends on temperature
Thermistors: Homogeneous composites of dissimilar metals; records resistance difference as temperature varies
Use electric resistance formula: Rt = Ro*e^B(1/T - 1/To)
Mechanical Sensors:
Measures: Force, pressure (force over an area), strain
Eg Gait analysis, pulse detection, voice + blood pressure monitoring etc
Strain gauge: a sensor whose resistance varies with applied force
Tension causes resistance increase, while compression causes decrease
It converts force, pressure, tension, weight, etc., into a change in electrical resistance which can then be measured
Uses piezoelectric materials (pressure), when a piezoelectric element is placed under pressure, polarized ions within the crystal deform and generate electric charge
Electrical Sensors:
In biological applications, electrodes are often used to detect the electric potential generated by cellular ionic currents.
The electrodes can range in size from micro-sized probes to larger adhesive pads
All cells have resting membrane potential caused by the difference in ion concentrations
Bioelectric signals: the electric potential generated by cell membrane potential, ( called action potential), mainly generated by muscle and nerve cells (ionic conductor Na, K, Cl)
E.g. action potentials in excitable cells such as neurons and muscle cells; electrocardiograph (ECG) measures the electrical activity of cardiac muscle cells; measure brain activity
Types of signals:
Electrocardiogram (ECG) in Heart 0.5-4mV and 0.05-150Hz
Electroencephalogram (EEG) in Brain 5-300uV and 0.5-150Hz
Electromyogram (EMG) in Muscles 1-10mV and 0-10 kHz
Chemical sensors: measure the presence and concentration of specific chemicals: ions/gasses, chemical/biochemical agents
ISE: Ion selective electrode
ISE acquires specificity from membranes that are permeable to a particular ion species. For eg. Glass ISEs selective to H+, used in pH meters
A working cell consists of an ISE, reference electrode and a voltmeter
These sensors produce a potential or voltage, that is proportional to ion concentration, also called as potentiometric sensors
Amperometric sensor: current is proportional to the concentration of the species generating the current (Use a Clark O2 sensor)
Optical Sensor: able to detect light in the visible, infrared, or ultraviolet regions of the electromagnetic spectrum, wavelengths from 10 nanometers to 1 millimeter
Photodiodes: a light-sensitive semiconductor diode. It produces current when it absorbs photons. Made of semiconductor materials such as silicon (Si) or gallium arsenide (GaAs), like a finger pulse oximeter
Photomultiplier: amplify weak light signals through a series of processes involving a photocathode, dynodes, and an anode; offer high sensitivity
Commonly found in UV spectrometers in research labs
Bioimaging:
Bioimaging relates to methods that non-invasively visualize structures and biological processes, examples: ultrasound, CT using x-rays, OCT, and MRI
Ultrasound:
Ultrasound is based on the propagation of high-frequency sound waves through tissue
Ultrasound imaging is fast: structure and function can be recorded from rapidly moving tissues and provide real-time imaging (e.g. heart beat; internal bleeding; localize internal injuries)
Ultrasound imaging:
1. Producing a sound wave by piezoelectric transducer
Piezoelectric crystals: convert the electrical pulses from the transmitter to acoustic pulses and reconvert received echoes from targets into electrical signals.
2. Receiving the echoes
3. Image display
The magnitude of the transduced voltages indicates the strength of echoes
The spatial location of each echo is determined by the time of flight (the time it takes between the generation of the pulse and reception of the echo
T = 2d/c (d = travel distance, c= speed of pulse, t = time of flight)
X-Rays:
Were discovered by Wilhelm Conrad Rontgen in 1895, a form of electromagnetic radiation with wavelength of 0.1 nm
They have high energy and can pass through most objects, including the body
E = hv = hc/wavelength
Two properties made x-ray useful for imaging
Human body is translucent to x-rays of correct wavelength and energy
X-rays can expose photographic film to be recorded
Formation of medical x-ray image:
X-ray intensity is decreased as x ray passes the body structure. Form like a shadow
During development of the film, silver halide particles in the film will absorb the transmitted light, convert to silver and appear as black gains.
Lighter film where body is denser; darker film when body is light
Attenuation of x-rays
Beer’s Law: I = Io e^-μx
X = thickness of the material, μ = linear attenuation coefficient, Io = Intensity input, I = intensity output
HLV: thickness of a given tissue that attenuates 50% of incident x-ray = ln2/μ
Applications of x-rays:
Provide good contrast when there is a difference in density between two materials, like soft tissue and air, bone and soft tissue etc
How about a digestive system that is composed of structures that do not vary greatly in x-ray absorption?
Swallow a dense element such as barium to generate more brighter x-ray; or introduce air bubble to make the tract black
CT (Computed tomography)
Algorithmic method applied to x-ray imaging: take x-ray images at many different angles and use these images to construct 3-D image of the body
Whereas contrast of CT is limited in soft tissue, CT is quite versatile for imaging the head, lungs, abdomen, pelvis, and extremities
Magnetic Resonance Imaging (MRI):
MRI is a type of diagnostic test that can create detailed images of nearly every structure and organ inside the body, including the organs, bones, muscles and blood vessels.
MRI scanners create images of the body using a large magnet and radio waves.
To produce ‘signal’, the MRI scanner interacts with protons in water and fat in the body.
No ionizing radiation is produced during an MRI exam, unlike X-rays.
Physics of MRI:
Free protons within molecules of the body are randomly oriented, spinning on a North-South magnetic field
Protons aligned in scanner with the axis of the magnetic field within the bore
A radiofrequency pulse is applied to excite the protons, aligning them at an angle to the magnetic field and spin in phase with each other, creating resonance
After a few milliseconds and removal of radiofrequency pulse, the excited protons relax, giving off radiofrequency signals
Two kinds of relaxing occur:
Realignment of protons with the magnetic field
Dephasing of spinning protons (loss of resonance)
Two types of signal can be detected
T1 signal relates to the speed of realignment with the magnetic field, the more quickly the protons realign, the greater the signal
T2 signal relates to the speed of proton spin dephasing - the slower the dephasing the greater the T2 signal
Tissue differentiation - Fat vs Water
Protons in fat realign quickly with high energy to produce high T1 signal, which would highlight fat tissues in the body
Protons in water dephase slowly, used to produce T2 weighted images that highlight water in tissues of the body
Comparison between imaging modalities:
X-rays:
Main characteristics: A photograph or image obtained through x-rays
Advantages: Fast and easy method of imaging
Disadvantages: Superposition of structures creates difficulties for interpretation, it cannot pass from the bone
Spatial Resolution: High
Contrast: Low
Application: Anatomical
Cost: Low cost
Radiation source and type: X-rays (ionizing)
CT:
Main characteristics: A method of examining body organs by scanning them with x-rays and using a computer to construct series of cross-sectional images
Advantages: Tomographic acquisition eliminates the superposition of images of overlapping structures
Disadvantages: high dose per examination
Spatial Resolution: High
Contrast: High
Application: Anatomical, Functional
Cost: Intermediate cost
Radiation source and type: x-rays (ionizing)
MRI:
Main characteristics: A method which uses magnetic signals to create image “slices” of the human body
Advantages: No short term effects are observed and variable thickness of any plane
Disadvantages: Strong magnetic field disturb activated implants, patients exists large time in B so claustrophobia disease may occur
Spatial Resolution: High
Contrast: High
Application: Anatomical, Functional
Cost: Intermediate Cost
Radiation source and type: Electric and Magnetic fields (Non-ionizing)
Ultrasound:
Main characteristics: A method which use of high-frequency sound to make image internal structures by signals from different densities tissues
Advantages: ultrasound scanning is noninvasive (no needles or injections) and ultrasound is widely available, easy-to-use
Disadvantages: Operator dependent and imaging limited to vascular compartment, difficult image of bone and lungs
Spatial Resolution: High
Contrast: N/A
Application: Anatomical, Functional
Cost: Low cost
Radiation source and type: Sound waves (Non-ionizing)