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Related Concept Videos

Parallel RLC Circuits01:14

Parallel RLC Circuits

Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
A simplified parallel RLC circuit model with a DC input source generating a step response is employed in this context. When the switch is turned on, Kirchhoff's current law is applied, leading to a second-order differential equation.
Design of Transmission Shafts01:16

Design of Transmission Shafts

The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide the selection of the shaft's material and cross-sectional dimensions, ensuring that the material's maximum shearing stress remains within the elastic limit while transmitting the desired power at the given speed. The system's power is intrinsically linked to the applied torque. The torque applied to the shaft can be calculated by reconfiguring the...
Parallel Resonance01:23

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
Lossless Lines01:23

Lossless Lines

In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi, exhibits...
NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences01:17

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...

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Implementation of a Nonlinear Microscope Based on Stimulated Raman Scattering
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Local SAR in parallel transmission pulse design.

Joonsung Lee1, Matthias Gebhardt, Lawrence L Wald

  • 1Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. goplusplus@gmail.com

Magnetic Resonance in Medicine
|November 16, 2011
PubMed
Summary
This summary is machine-generated.

A new method optimizes parallel transmission (pTx) radio frequency pulse design for magnetic resonance imaging, effectively managing specific absorption rate (SAR) constraints in human subjects. This approach significantly reduces peak local SAR, enhancing safety during scans.

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Area of Science:

  • Biomedical Engineering
  • Magnetic Resonance Imaging Physics
  • Radiofrequency Engineering

Background:

  • Managing radiofrequency power deposition, specifically local and global specific absorption rate (SAR), is critical for parallel transmission (pTx) systems in human subjects.
  • The complex spatial distribution of local SAR in pTx arrays presents challenges not seen in single-channel systems, necessitating advanced pulse design.

Purpose of the Study:

  • To propose and validate a novel pTx pulse design method that incorporates local SAR constraints within practical computation times.
  • To develop an algorithm that bounds the achievable peak local SAR for a given excitation profile fidelity.

Main Methods:

  • A compressed parameterization of local SAR distribution in numerical tissue models was utilized.
  • The method integrated local SAR constraints into pTx pulse design suitable for in vivo magnetic resonance imaging scans.
  • A 7 Tesla eight-channel transmit array and a numerical human head model were employed for performance evaluation.

Main Results:

  • The proposed method achieved significant reductions in peak local 10 g SAR (14-66%) for slice-selective and 2D selective pTx excitations.
  • Compared to designs constrained only by global SAR, the new method demonstrated superior local SAR management.
  • A trade-off was observed, with an increase in global SAR (up to 34%) being acceptable when local SAR is the dominant constraint.

Conclusions:

  • The developed pTx pulse design method effectively manages local SAR constraints in human subjects during MRI.
  • This approach offers a practical solution for enhancing safety in pTx applications where local SAR limits are critical.
  • The method provides a protocol-specific bound on peak local SAR, improving the predictability and safety of MRI procedures.