Using probability and rules of interaction to simulate the spin relaxation in a MRI
John L. Haller
Abstract
A computer code is written that simulates the relaxation back to thermal equilibrium of an ensemble of particles after a pi/2 pulse. Beginning with Bloch's equations the exponential relaxation behavior is discussed and the transition into a step by step process (from the continuous process) is made such that it is possible for the computer code to simulate the action. An analysis of Boltzmann's factor is offered and serves as the link between the temperature of the ensemble and the parameter that is used to determine if a spin is in the up state or the down state. The specifics of the code are discussed and the spins are shown to follow the rules of interaction governed by the physical collisions that can take place. Lastly, graphs of the simulation are provided and a discussion of its usefulness is given.
Create a lesson
Related papers
Direct correlation of intravoxel incoherent motion imaging based on implicit neural representations and histopathology in pediatric Wilms tumors: can it differentiate between subtypes?
G. C. Arends, M. Fitski, J. Harbers et al.
Photoacoustic imaging of human brain function through intact adult skulls
Yilin Luo, Rui Cao, Manxiu Cui et al.
BOLD PSF: Impact of k-space trajectories and timing on the depiction of T2* contrast
Maria Engel, Lars Kasper, Klaas P Pruessmann
Personalized Physiological-Model-Based Neural Network for Glucose Forecasting in Type 1 Diabetes
Yaowen Zhang, Shuhao Que, Ying Wang
Automated carotid artery atherosclerotic inflammation segmentation in PET using MSR-Net
Ran Li, Abhinav K. Jha, Jie Zheng et al.
Separating active irradiation from passive outcome learning in radiotherapy: a finite-model computational benchmark
Yuntao Wang