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Articles 1 - 30 of 127
Full-Text Articles in Biomedical Engineering and Bioengineering
Interpatient Differences In Neural Recruitment Patterns During Pudendal Nerve Stimulation – A Computational Investigation, Amolak S. Jhand, Luis C. Ruiz, Nystha Baishya, Ehsan Mirzakhalili, Gaurang Shah, Priyanka Gupta, Tim M. Bruns, Scott F. Lempka
Interpatient Differences In Neural Recruitment Patterns During Pudendal Nerve Stimulation – A Computational Investigation, Amolak S. Jhand, Luis C. Ruiz, Nystha Baishya, Ehsan Mirzakhalili, Gaurang Shah, Priyanka Gupta, Tim M. Bruns, Scott F. Lempka
Medical Student Research Symposium
Bladder dysfunction impairs the quality of life for millions of individuals around the world. Common causes of bladder dysfunction include aging, trauma, and neurological disorders. Due to inadequacies in conventional treatments, neuromodulation therapies to address bladder dysfunction, such as sacral nerve stimulation, have emerged. However, patient needs still remain unmet. Pudendal nerve stimulation (PNS) has recently gained clinical interest as a promising treatment for bladder dysfunction. While PNS has been extensively investigated in preclinical settings, there is a gap in our understanding of the mechanisms of action and efficacy of PNS as limited studies of PNS have been performed on …
Differentiating Axonal From Demyelinating Neuropathies Using Multiparametric Quantitative Mri Of Peripheral Nerves, Jacob D. Baraz, Stephanie Xuan, Sadaf Saba, Xue Yang, Ryan Castoro, Yang Xuan, Alison Roth, Richard D. Dortch, Jun Li, Yongsheng Chen
Differentiating Axonal From Demyelinating Neuropathies Using Multiparametric Quantitative Mri Of Peripheral Nerves, Jacob D. Baraz, Stephanie Xuan, Sadaf Saba, Xue Yang, Ryan Castoro, Yang Xuan, Alison Roth, Richard D. Dortch, Jun Li, Yongsheng Chen
Medical Student Research Symposium
Objectives: To develop a multiparametric quantitative MRI (qMRI) method to track pathological changes in the peripheral neuropathies.
Background: Irrespective of the causes or types of polyneuropathies, peripheral nerves are mainly afflicted by two kinds of pathologies – axonal loss and demyelination. It is critical to differentiate between the two as treatments are different for the two conditions. While nerve conduction studies (NCS) have been used to differentiate the two pathologies in the distal nerves, there are no tools to probe the pathologies in the proximal peripheral nerves. This is particularly needed when distal nerves become non-responsive in NCS.
Methods: We …
Evaluation Of A Portable Gynecological Examination Table On Increasing Access To Cervical Cancer Screenings, Brennan Burrows, Giuliana Motta, Vibhasri Davuluri, Urvee Deo, Aman Tahir, Brindha Rajakumar, Jacob Blumenstein, Eliza Steinberg, Mariam Tobia, Asmita Tuladhar, Abigail Ahn
Evaluation Of A Portable Gynecological Examination Table On Increasing Access To Cervical Cancer Screenings, Brennan Burrows, Giuliana Motta, Vibhasri Davuluri, Urvee Deo, Aman Tahir, Brindha Rajakumar, Jacob Blumenstein, Eliza Steinberg, Mariam Tobia, Asmita Tuladhar, Abigail Ahn
Medical Student Research Symposium
Introduction: Cervical cancer is a preventable disease affecting millions of women worldwide, with higher prevalence and mortality in developing countries. One explanation of this disparity is due to reduced access to screenings, especially in rural communities where mobile health clinics are limited by what medical equipment they can bring. To address these barriers, an engineering team called Project MESA (Making Examinations Safe and Accessible) designed a gynecological examination table that is portable, lightweight, and easily sanitizable.
Objective: This study aims to (1) evaluate whether the implementation of this device improves the clinician’s ability to perform pap smears as opposed to …
Cardio-Net: A Matlab-Based Software For The Display And Diagnostic Utilization Of Vectorcardiograms, Ali H. Mannaa, Domenico Gatti
Cardio-Net: A Matlab-Based Software For The Display And Diagnostic Utilization Of Vectorcardiograms, Ali H. Mannaa, Domenico Gatti
Medical Student Research Symposium
Background: The 12-lead technique is the standard in ECG, however alternate cardiography modalities such as vectorcardiography (VCG) exist . While the VCG modality offers unique clinical metrics and certain advantages over ECG, it is hardly utilized due to it being more difficult to obtain than ECG. Here we introduce Cardio-Net, a MATLAB-based software that uses standard 12-lead ECG data to generate and visualize VCGs. Furthermore, we demonstrate the diagnostic potential of VCG by utilizing a recurrent neural network (RNN) to accurately classify vectorcardiograms.
Methods: MATLAB version 2019b and the following toolboxes were used for data processing: Deep learning, …
Segmentation Of Intracranial Structures From Noncontrast Ct Images With Deep Learning, Evan Porter
Segmentation Of Intracranial Structures From Noncontrast Ct Images With Deep Learning, Evan Porter
Wayne State University Dissertations
Presented in this work is an investigation of the application of artificially intelligent algorithms, namely deep learning, to generate segmentations for the application in functional avoidance radiotherapy treatment planning. Specific applications of deep learning for functional avoidance include generating hippocampus segmentations from computed tomography (CT) images and generating synthetic pulmonary perfusion images from four-dimensional CT (4DCT).A single institution dataset of 390 patients treated with Gamma Knife stereotactic radiosurgery was created. From these patients, the hippocampus was manually segmented on the high-resolution MR image and used for the development of the data processing methodology and model testing. It was determined that …
Multiparametric Quantitative Acoustic Imaging Of Cervical Remodeling During Pregnancy, Yan Yan
Multiparametric Quantitative Acoustic Imaging Of Cervical Remodeling During Pregnancy, Yan Yan
Wayne State University Dissertations
The uterine cervix plays a central role in the maintenance of pregnancy and the process of parturition. Untimely cervical ripening in early gestation predisposes to preterm labor and delivery, the leading cause of infant mortality worldwide. The current approach to evaluate the status of the cervix relies on digital and sonographic examination, which indicates the morphological changes of the cervix (cervical length). Therefore, assessing cervix tissue composition changes may provide more sensitive evaluations about cervix status beyond cervical length. Photoacoustic (PA) imaging is a relatively new, non-invasive ultrasound (US) based technology that captures acoustic signals emitted by tissue components in …
Assessing Midbrain Abnormalities In Parkinson’S Disease Using Magnetic Resonance Imaging, Kiarash Ghassaban
Assessing Midbrain Abnormalities In Parkinson’S Disease Using Magnetic Resonance Imaging, Kiarash Ghassaban
Wayne State University Dissertations
Diagnosing early-stage Parkinson’s disease (PD) and its manifestations is still a clinical challenge. Previous imaging studies using iron, neuromelanin (NM) and the Nigrosome-1 (N1) measures in the substantia nigra (SN) by themselves have been unable to provide sufficiently high diagnostic performance for these methods to be adopted clinically. In this dissertation, we start by studying idiopathic PD patients at their intermediate stages of the disease to evaluate the role of global and regional iron in the major deep gray matter nuclei. Then, we only focus on the NM complex in the midbrain and how neuronal loss interact with iron overload …
The Advanced Applications For Optical Coherence Tomography In Skin Imaging, Qiuyun Xu
The Advanced Applications For Optical Coherence Tomography In Skin Imaging, Qiuyun Xu
Wayne State University Dissertations
Optical coherence tomography (OCT), based on the principle of interferometry, is a fast and non-invasive imaging modality, which has been approved by FDA for dermatologic applications. OCT has high spatial resolution up to micrometer scale compared to traditional ultrasound imaging. In addition, OCT can provide real-time cross-sectional images with 1 to 2 mm penetration depth, which makes it an ideal imaging technique to assess the skin micro-morphology and pathology without any tissue removal. Many studies have investigated the possibilities of using OCT to evaluate dermatologic conditions, such as skin cancer, dermatitis, psoriasis, and skin damages. Hence, OCT has tremendous potential …
Investigation Of Physiochemical Properties And Biocompatibility Of Amourphos Calcium Polyphosphate Hydrogel Doped With Antibiotics And Injectable Polymeric Dicalcium Phosphate Dihydrate Bone Cement, Yasaman Chehreghanianzabi
Investigation Of Physiochemical Properties And Biocompatibility Of Amourphos Calcium Polyphosphate Hydrogel Doped With Antibiotics And Injectable Polymeric Dicalcium Phosphate Dihydrate Bone Cement, Yasaman Chehreghanianzabi
Wayne State University Dissertations
Amorphous calcium polyphosphate (ACPP) is an inorganic polymer ceramic. Here we use a simple method of preparing ACPP hydrogel in the presence of excess volume of water. Essentially, water availability to polyphosphate chains accelerates water molecule ingress and microstructural transformation of ACPP hydrogels. Antibiotic delivery capacity of ACPP hydrogel increases by the specific mixing and molding method, where the VCM has higher antibiotic encapsulation efficiency with the small burst release for the compressed discs. In part of this study, we investigate impact of ACPP hydrogel replacement by monomeric calcium phosphate on the quality of final product (dicalcium phosphate dihydrates (DCPD) …
Computational Analysis Of Oxidative Stress In Endothelial Dysfunction: Insights On The Role Of Tetrahydrobiopterin, Ascorbate And Glutathione, Sheetal Kedar Panday
Computational Analysis Of Oxidative Stress In Endothelial Dysfunction: Insights On The Role Of Tetrahydrobiopterin, Ascorbate And Glutathione, Sheetal Kedar Panday
Wayne State University Dissertations
Oxidative stress and endothelial dysfunction are reported in the cardiovascular and neurovascular diseases. Oxidative stress is caused due to an increase in the generation of reactive oxygen (ROS) and nitrogen species (RNS) and incapacity of antioxidant systems to eliminate ROS and RNS. Endothelial dysfunction is characterized by a reduction in nitric oxide (NO) bioavailability. NO is constitutively produced by enzyme endothelial nitric oxide synthase (eNOS). A reduction in tetrahydrobiopterin (BH4), which is an essential cofactor of eNOS, can lead to eNOS uncoupling. There is complex interplay between the ROS/RNS and antioxidant system underlying pathophysiologies of vascular diseases, however our quantitative …
Evaluation Of Far-Side Occupant Safety Based On Numerical Modeling, Syed Akhtar Imam
Evaluation Of Far-Side Occupant Safety Based On Numerical Modeling, Syed Akhtar Imam
Wayne State University Dissertations
The objective of this study was to augment the knowledge of the far-side occupant injury biomechanics in side impact vehicle crashes. Most research studies conducted to investigate the far-side occupant injuries are through the field crash data for a better understanding of human impact responses, injury mechanisms, and injury tolerance levels. The data obtained from field data is also used in the development of injury mitigation technologies, such as safety belts, airbags, etc. A field data represents the injury outcome of an automotive crash, but it doesn’t leave behind enough information for in-depth knowledge. The use of cadaver is the …
Development Of Rat Head Finite Element Model And Tissue Level Biomechanical Threshold For Traumatic Axonal Injury, Runzhou Zhou
Development Of Rat Head Finite Element Model And Tissue Level Biomechanical Threshold For Traumatic Axonal Injury, Runzhou Zhou
Wayne State University Dissertations
Traumatic brain injury (TBI) is caused by local tissue deformation at the time of trauma, leading to neurological dysfunction. In the United States alone, 2.87 million people sustain a TBI each year, of which one-fifth results in death. Traumatic axonal injury (TAI) is a well-recognized consequence of every fatal head injury and more than 85% of vehicular crash-related blunt head injuries. The most common and important pathologic feature of TBIs are multifocal changes to axons in the white matter produced by rapid head acceleration/deceleration during a traumatic event with consequent local shear/tension on neural tissue and axons contributing to secondary …
Development Of Photoacoustic Tomographic Systems For Brain Hemorrhage Detection, Karl Kratkiewicz
Development Of Photoacoustic Tomographic Systems For Brain Hemorrhage Detection, Karl Kratkiewicz
Wayne State University Dissertations
Preterm neonates (age) and/or with low birth weight (
Photoacoustic imaging (PAI) is an imaging modality which derives its contrast from differences in optical absorption coefficients of tissue through laser irradiation and acoustic detection. Therefore, PAI derives its signal directly from optical absorbers such as blood; the critical component in a hemorrhage. We discuss operation and processing methods of our Verasonics Vantage system. We then investigate thermal safety of PAI in mouse model for various laser pulse repetitions rates and illumination duration. We then develop two photoacoustic tomographic systems for eventual translation to clinic for hemorrhage detection. One system being …
Titanium Nitride Nanotube Electrodes Used In Neural Signal Recording Application And Neurotransmitter Detection, Gui Chen
Wayne State University Dissertations
Electrode probes are devices widely used for stimulating and recording neural cell signals in the neuroscience field, which can convert the ion potential generated by electrochemical activities into an electronic potential that can be measured by the external instrument systems. A stable neural interface that effectively communicates with the nervous system via electrode is much important for the robust recording and the long-term monitoring of the activity of the neural signals. These probes are designed to minimize tissue damage for superior signal quality. Each probe’s mechanical, geometric, and electrical characteristics are precise and highly reproducible for consistent, high-quality results. There …
In Vitro Atherosclerosis Disease Model Via The Ring Stacking Method, Cameron Brandon Pinnock
In Vitro Atherosclerosis Disease Model Via The Ring Stacking Method, Cameron Brandon Pinnock
Wayne State University Dissertations
Creation of an in vitro atherosclerotic disease model using the novel Ring Stacking Method. Singular self-assembling tissue rings made up smooth muscle cells and fibrin hydrogel are stacked on one another to create a tissue engineered vessel. These biologically engineered blood vessels are then seeded with endothelial cells via combined static rotational and dynamic bioreactor in order to create a functional intima layer. Early stage atherosclerosis was induced via the addition of oxidized low-density lipoproteins (ox-LDL) to the fibrin hydrogel that creates the media layer of the engineered vessel. After the creation of the intima layer the engineered vessel was …
Development Of A Novel Cardiac Ischemia-Reperfusion Model In The Axolotl, Jeremy Tolentino Llaniguez
Development Of A Novel Cardiac Ischemia-Reperfusion Model In The Axolotl, Jeremy Tolentino Llaniguez
Wayne State University Dissertations
The Center for Disease Control’s National Center for Health Statistics data for mortality from diseases of the heart show the age-adjusted death rate has fallen from almost 600 deaths in the 1950s to just over 190 deaths per 100,000 U.S. residents today. With the recognized limitations of pharmacotherapy of myocardial infarction (MI), cell-based therapies have been undergoing rapid development and clinical testing. However, there is still no consensus about cell types, delivery routes, dosing and treatment schedules and pretreatment conditioning of cells prior to administration. Furthermore, a fundamental question remains unanswered about the reasons for the poor capacity for myocardial …
Incorporating Cardiac Substructures Into Radiation Therapy For Improved Cardiac Sparing, Eric Daniel Morris
Incorporating Cardiac Substructures Into Radiation Therapy For Improved Cardiac Sparing, Eric Daniel Morris
Wayne State University Dissertations
Growing evidence suggests that radiation therapy (RT) doses to the heart and cardiac substructures (CS) are strongly linked to cardiac toxicities, though only the heart is considered clinically. This work aimed to utilize the superior soft-tissue contrast of magnetic resonance (MR) to segment CS, quantify uncertainties in their position, assess their effect on treatment planning and an MR-guided environment.
Automatic substructure segmentation of 12 CS was completed using a novel hybrid MR/computed tomography (CT) atlas method and was improved upon using a 3-dimensional neural network (U-Net) from deep learning. Intra-fraction motion due to respiration was then quantified. The inter-fraction setup …
Spatiotemporal Release Of Growth Factors In A Biomaterial-Focused Organotypic Spinal Cord Injury Model, Elizabeth Mays
Spatiotemporal Release Of Growth Factors In A Biomaterial-Focused Organotypic Spinal Cord Injury Model, Elizabeth Mays
Wayne State University Dissertations
Over 17,000 people per year in the United States sustain a spinal cord injury (SCI) for which there is no gold standard of care and life-long complications. SCI is a complex wound environment with various growth factors (GFs), cellular activity, and scar formation at various timepoints. For example, basic fibroblast growth factor (bFGF) is released immediately to protect local support cells, namely oligodendrocytes (OLs). Brain derived neurotrophic factor (BDNF) has peak expression at 2-3 days in mice and 5-7 days in humans, and aids axonal growth across the injury site. Incidentally this is around the same time as M1 macrophage …
Communication Of Deaf People Based On Myoware Muscle Sensor, Mohamad Ataya
Communication Of Deaf People Based On Myoware Muscle Sensor, Mohamad Ataya
Research Opportunities for Engineering Undergraduates (ROEU) Program 2018-19
The current project aims to create a product that enhances communication of deaf people. The developed product has the following features:
• a muscle sensor that transcribes sign language into actual letters
• a voice detector that translates speech into actual words
• the ability to receive and send emergency alerts.
Titanium Nitride Nanotube Electrode, Gui Chen, Marcella Gatti
Titanium Nitride Nanotube Electrode, Gui Chen, Marcella Gatti
Research Opportunities for Engineering Undergraduates (ROEU) Program 2018-19
This project presents a corrosion-resistant and high capacity implantable TiN nanotube electrode to work as a neural probe. Smaller electrode size allows for reduced tissue damage while the nanopore morphology of the TiN gives a larger surface area and stability to the electrode. The electrode offers improved biocompatibility, reduced tissue damage, reduced cost, and increased usability over time.
Utilizing Immunopet To Measure Tumor Response To Treatment In Breast Cancer, Brooke Mcknight
Utilizing Immunopet To Measure Tumor Response To Treatment In Breast Cancer, Brooke Mcknight
Wayne State University Dissertations
With a broad spectrum of therapies available for treating breast cancer, the need for personalized medicine tailoring the cure according to phenotype is evident. Such an approach may be fully realized with the development of quantitative imaging technologies for disease detection, staging and diagnosis, without increasing patient burden. Immuno-positron emission tomography (PET) combines the targeted specificity of antibodies with the sensitivity of PET for whole body imaging by targeting molecular features amplified in lesions. ImmunoPET probes targeting different antigens and their utility to measure response to treatment were explored. 89Zr-trastuzumab was employed as a surrogate readout of Src inhibition after …
Optimization Of Underbody Blast Energy-Attenuating Seat Mechanisms Using Modified Madymo Hybrid Iii And Human Body Models, Kelly Erin Bryan Bosch
Optimization Of Underbody Blast Energy-Attenuating Seat Mechanisms Using Modified Madymo Hybrid Iii And Human Body Models, Kelly Erin Bryan Bosch
Wayne State University Dissertations
Energy attenuating (EA) blast seats, although not new to the market, have not been fully characterized with respect to energy attenuation capability and the resulting effects on occupant protection. EA seats utilize stroking mechanisms to absorb energy and reduce the vertical forces imparted on the occupant’s pelvis and lower spine complex. Although a variety of EA seats are available on the market, the fundamental question behind how to optimize the force and deflection rates of the EA mechanisms to effectively reduce occupant injury has not yet been answered. Using modeling and simulation techniques, this research developed a tool to determine …
Celiac Disease: A Physiological Overview And Possible Future Work With Emphasis On Raman Spectroscopy, Katlyn Curtin Mehne
Celiac Disease: A Physiological Overview And Possible Future Work With Emphasis On Raman Spectroscopy, Katlyn Curtin Mehne
Wayne State University Theses
Celiac Disease is a condition whereby ingesting Gluten causes an autoimmune reaction in the intestines with adverse effects throughout the body. Although statistic analysis estimates that 1% of the general population is affected by this condition, the diagnosis and treatment research lacks in key areas of understanding. This is a summary of current research and physiological information on the impact of Celiac Disease. In the last twenty years, Raman Spectroscopy assisted in diagnosis and treatment of various other ailments. In this case, Raman Spectroscopy can be used to research immunological cells involved in Celiac Disease and further research.
Development Of A Novel Ultrasound/Photoacoustic Tomography System For Breast Cancer Imaging Using Full-Ring Illumination Mode, Suhail Salem Alshahrani
Development Of A Novel Ultrasound/Photoacoustic Tomography System For Breast Cancer Imaging Using Full-Ring Illumination Mode, Suhail Salem Alshahrani
Wayne State University Dissertations
Breast cancer is a significant health problem, not only in the United States but globally. In the last year, breast cancer was the second leading cause of cancer deaths in the United States. In addition, the incidence rates of invasive and in situ female breast cancer increased in all age classes between 1975 and 2014. Early detection is a critical component in effectively managing this disease. One of the challenges of early detection of breast cancer lies in the availability and accuracy of diagnostic imaging. Several modalities for early detection are currently available and in use. One of the most …
Optical Coherence Tomography Application To Alopecia In The Scalp, Elizabeth Melcher
Optical Coherence Tomography Application To Alopecia In The Scalp, Elizabeth Melcher
Research Opportunities for Engineering Undergraduates (ROEU) Program 2017-18
Alopecia is the loss of hair, whether it be from the scalp or other regions of the body. Current techniques used to best diagnose and track alopecia are often invasive, requiring a biopsy for results. The use of the OCT, or optical coherence tomography, could drastically improve a patient’s experience in undergoing a diagnosis while proving accurate results. The objective of this study is to develop diagnostic algorithms for the rapid, non-invasive diagnosis of alopecia with OCT. The first step is collecting OCT images of a healthy scalp to understand the anatomical structures with the imaging technique.
Low Cost Waist Line Circumference Health Management Belt, Raghav Talreja
Low Cost Waist Line Circumference Health Management Belt, Raghav Talreja
Research Opportunities for Engineering Undergraduates (ROEU) Program 2017-18
One third of the American population is obese or near obese, and $150 billion is spent in weight management. Current devices to monitor weight are expensive, and niche products are designed for health enthusiasts. This project investigates user needs, development and commercialization steps for a low cost health management belt.
Developing Vascular Graft From Adipose-Derived Stem Cells, Ashley C. Apil
Developing Vascular Graft From Adipose-Derived Stem Cells, Ashley C. Apil
Research Opportunities for Engineering Undergraduates (ROEU) Program 2017-18
This project aims to differentiate adipose-derived stem cells into fibroblasts through the addition of platelet-derived growth factor (PDGF) into the culture media. Differentiation protocol will be optimized, then successful differentiation will be verified through PCR analysis. The ASC-fibroblasts will then be seeded into a ring construct as outlined by the protocol by Lam et al. The ring constructs will be tensile tested and analyzed through histology to characterize their strength and cellularity.
Characterization Of Electroactive Nanofibers For Nerve Regeneration, Jean-Yves Azar
Characterization Of Electroactive Nanofibers For Nerve Regeneration, Jean-Yves Azar
Research Opportunities for Engineering Undergraduates (ROEU) Program 2017-18
In the event of peripheral nerve injury, loss of function may occur as the result of a severed nerve. Hollow nerve gap conduits are used to provide a protected environment for nerves to reconnect and regain function, although therapies for nerve gaps larger than 3 cm lack a stable environment for nerves to reconnect. Development of a nerve guide conduit filler has been proposed to mimic the cell’s microenvironment. This would lead to increased functional regeneration. We are aiming to create a biomaterial to act as a filler for the hollow nerve gap conduits to promote functional regeneration of the …
Engineering Hyaluronic Acid Carbon Nanotube Nanofibers: A Peripheral Nerve Interface To Electrically Stimulate Regeneration, Elisabeth M. Steel
Engineering Hyaluronic Acid Carbon Nanotube Nanofibers: A Peripheral Nerve Interface To Electrically Stimulate Regeneration, Elisabeth M. Steel
Wayne State University Dissertations
Peripheral nerve injuries annually affect hundreds of thousands of people globally. Current treatments like the gold standard autograft and commercially available nerve guide conduits (NGC) are insufficient to repair long gap peripheral nerve injuries. NGCs can aid recovery but lack key microenvironment cues that promote nerve regeneration. We hypothesized that providing topographical, mechanical, and electrical guidance cues through a nanofibrous composite biopolymer would result in improved neuron growth metrics using an in vitro model. We embedded hydrophilic carbon nanotubes (CNT) within hyaluronic acid (HA) nanofibers by electrospinning. The aims of this study were (1) to define the topographical, nanomechanical, and …
Study Of Mri Signal In The Presence Of Discrete Spherical Magnetic Particles, Paul Kokeny
Study Of Mri Signal In The Presence Of Discrete Spherical Magnetic Particles, Paul Kokeny
Wayne State University Dissertations
Simulating signal behavior in Magnetic Resonance imaging (MRI) is often a necessary step in being able to understand how signal relates to certain physiological parameters. One such parameter of interest in the body is magnetic susceptibility since it is related to iron content. The bulk magnetic susceptibility of an object is a property that describes how magnetized it becomes when placed in an external magnetic field. When the bulk susceptibility of an object arises from the presence of discrete magnetic inclusions, the MRI phase signal inside the object can no longer be determined analytically by assuming it has a continuous …