scholarly journals New Aspects of Fractional Bloch Model Associated with Composite Fractional Derivative

2020 ◽  
Author(s):  
Jagdev Singh ◽  
Devendra Kumar ◽  
Dumitru Baleanu
Keyword(s):  
Magnetic Resonance ◽  
Fractional Derivative ◽  
Analytic Solutions ◽  
Bloch Equation ◽  
Graphical Form ◽  
Fractional Operator ◽  
Nuclear Magnetization ◽  
Sumudu Transform ◽  
Order And Type ◽  
Magnetic Resonance Imaging Mri

This paper studies a fractional Bloch equation pertaining to Hilfer fractional operator. Bloch equation is broadly applied in physics, chemistry, nuclear magnetic resonance (NMR), magnetic resonance imaging (MRI) and many more. The sumudu transform technique is applied to obtain the analytic solutions for nuclear magnetization . The general solution of nuclear magnetization  is shown in the terms of Mittag-Leffler (ML) type function. The influence of order and type of Hilfer fractional operator on nuclear magnetization  is demonstrated in graphical form. The study of Bloch equation with composite fractional derivative reveals the new features of Bloch equation. The discussed fractional Bloch model provides crucial and applicable results to introduce novel information in scientific and technological fields.

scholarly journals Numerical Simulation for Fractional-Order Bloch Equation Arising in Nuclear Magnetic Resonance by Using the Jacobi Polynomials

2020 ◽  
Vol 10 (8) ◽  
pp. 2850 ◽  
Author(s):  
Harendra Singh ◽  
H. M. Srivastava
Keyword(s):  
Nuclear Magnetic Resonance ◽  
Magnetic Resonance ◽  
Fractional Order ◽  
Fractional Derivatives ◽  
Jacobi Polynomials ◽  
Bloch Equation ◽  
Spin Resonance ◽  
Magnetic Resonance Imaging Mri ◽  
Mean Square Errors ◽  
Nuclear Magnetic

In the present paper, we numerically simulate fractional-order model of the Bloch equation by using the Jacobi polynomials. It arises in chemistry, physics and nuclear magnetic resonance (NMR). It also arises in magnetic resonance imaging (MRI) and electron spin resonance (ESR). It is used for purity determination, provided that the molecular weight and structure of the compound is known. It can also be used for structural determination. By the study of NMR, chemists can determine the structure of many compounds. The obtained numerical results are compared and simulated with the known solutions. Accuracy of the proposed method is shown by providing tables for absolute errors and root mean square errors. Different orders of the time-fractional derivatives results are illustrated by using figures.

Top-Ten Tips for Imaging the Brachial Plexus with Ultrasound and MRI

2019 ◽  
Vol 23 (04) ◽  
pp. 405-418 ◽  
Author(s):  
James F. Griffith ◽  
Radhesh Krishna Lalam
Keyword(s):  
Magnetic Resonance Imaging ◽  
Magnetic Resonance ◽  
Brachial Plexus ◽  
Muscle Denervation ◽  
Resonance Imaging ◽  
Neural Injury ◽  
Clinical Indications ◽  
Magnetic Resonance Imaging Mri ◽  
High Level ◽  
Extensive Involvement

AbstractWhen it comes to examining the brachial plexus, ultrasound (US) and magnetic resonance imaging (MRI) are complementary investigations. US is well placed for screening most extraforaminal pathologies, whereas MRI is more sensitive and accurate for specific clinical indications. For example, MRI is probably the preferred technique for assessment of trauma because it enables a thorough evaluation of both the intraspinal and extraspinal elements, although US can depict extraforaminal neural injury with a high level of accuracy. Conversely, US is probably the preferred technique for examination of neurologic amyotrophy because a more extensive involvement beyond the brachial plexus is the norm, although MRI is more sensitive than US for evaluating muscle denervation associated with this entity. With this synergy in mind, this review highlights the tips for examining the brachial plexus with US and MRI.

Use of Magnetic Resonance Imaging (MRI) to Determine the 3D Geometry in the Human Rectum

Endoscopy ◽  
2004 ◽  
Vol 36 (10) ◽  
Author(s):  
BP McMahon ◽  
JB Frøkjær ◽  
A Bergmann ◽  
DH Liao ◽  
E Steffensen ◽  
...  
Keyword(s):  
Magnetic Resonance Imaging ◽  
Magnetic Resonance ◽  
Resonance Imaging ◽  
3D Geometry ◽  
Human Rectum ◽  
Magnetic Resonance Imaging Mri

Role of Cardiac MRI in Detecting Familial Hypertrophic Cardiomyopathy: Review

2016 ◽  
Vol 1 (1) ◽  
pp. 4
Author(s):  
Marymol Koshy ◽  
Bushra Johari ◽  
Mohd Farhan Hamdan ◽  
Mohammad Hanafiah
Keyword(s):  
Hypertrophic Cardiomyopathy ◽  
Magnetic Resonance ◽  
Genetic Disorder ◽  
Familial Hypertrophic Cardiomyopathy ◽  
Non Invasive ◽  
Wide Range ◽  
Proper Diagnosis ◽  
Magnetic Resonance Imaging Mri ◽  
Potential Use

Hypertrophic cardiomyopathy (HCM) is a global disease affecting people of various ethnic origins and both genders. HCM is a genetic disorder with a wide range of symptoms, including the catastrophic presentation of sudden cardiac death. Proper diagnosis and treatment of this disorder can relieve symptoms and prolong life. Non-invasive imaging is essential in diagnosing HCM. We present a review to deliberate the potential use of cardiac magnetic resonance (CMR) imaging in HCM assessment and also identify the risk factors entailed with risk stratification of HCM based on Magnetic Resonance Imaging (MRI).

CT and MRI imaging of glomus tumors of the temporal bone

2018 ◽  
pp. 26-32
Author(s):  
E. A. Stepanova ◽  
М. V. Vishnyakova ◽  
V. I. Sambulov ◽  
I. Т. Mukhamedov
Keyword(s):  
Magnetic Resonance ◽  
Diagnostic Imaging ◽  
Temporal Bone ◽  
Glomus Tumor ◽  
Magnetic Resonance Tomography ◽  
Mri Imaging ◽  
Glomus Tumors ◽  
Magnetic Resonance Imaging Mri ◽  
Temporal Bone Tumor ◽  
Ct And Mri

Glomus tumor is one of the most common temporal bone tumors. Most of them are benign and locally invasive, some are occasionally able to metastasize and have signs of malignancy. Diagnostic imaging is necessary before treatment. Computer tomography (CT) is traditionally used as a primary method of diagnosis, to recognize changes in the temporal bone. Role of magnetic resonance imaging (MRI) in temporal bone tumor diagnosis is not definitively determined.Purpose. To assess the possibilities of computer and magnetic resonance tomography, to develop an algorithm for the application of diagnostic imaging methods in the diagnosis of glomus tumors of the temporal bone.Material and methods. The article presents the experience of diagnosing 30 patients with glomus tumors.Results. The tympanic form of the glomus tumor was observed in 11 cases (37%), tympano-yugular in 19 cases (63%). CT and MRI data totally coincided in cases of small tumors (type A and B). In the presence of extended forms CT ability of assessing bone invasion, involvement of the internal carotid artery, internal jugular vein, and dural sinuses was lower than the MRI.

Magnetic resonance imaging in study of lungs

2019 ◽  
pp. 10-23
Author(s):  
T. A. Akhadov ◽  
S. Yu. Guryakov ◽  
M. V. Ublinsky
Keyword(s):  
Magnetic Resonance Imaging ◽  
Magnetic Resonance ◽  
Medical Society ◽  
Resonance Imaging ◽  
Iodinated Contrast ◽  
Long Time ◽  
Women And Children ◽  
Magnetic Resonance Imaging Mri ◽  
A Current ◽  
Lung Mri

For a long time, there was a need to apply magnetic resonance imaging (MRI) technique for lung visualization in clinical practice. The development of this method is stimulated by necessity of the emergence of an alternative to computed tomography, especially when radiation and injection of iodine-containing contrast agents are contraindicated or undesirable, for example, in pregnant women and children, people with intolerance to iodinated contrast. One of the reasons why lung MRI is still rarely used is lack of elaborated standardized protocols that would be adapted to clinical needs of medical society. This publication is a current literature review on the use of MRI in lung studies.

Sign in / Sign up

Export Citation Format

Share Document