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Exponential Functions
 
An exponential function is a function of the form
f(x) = ax
where a is a fixed, positive constant, called the base of the exponential function.
Exponential functions are used to express dynamic processes, also in MRI.
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  Basics:
Exponential Functions
   by en.wikipedia.org    
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Radiology  (2) Open this link in a new window
T1 WeightedInfoSheet: - Sequences - 
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Every tissue in the human body has its own T1 and T2 value. This term is used to indicate an image where most of the contrast between tissues is due to differences in the T1 value.
This term may be misleading in that the potentially important effects of tissue density differences and the range of tissue T1 values are ignored.
If the machine parameters are chosen, so that TR less than T1 (typically under 500 ms) and TE less than T2 (typically under 30 ms), a power series expansion of the exponential functions and then neglecting second and higher order terms yields
Mxy = Mxy0 TR/T1
thus the expression becomes independent of T2 and yields the condition for T1 weighting. Therefore a T1 contrast is approached by imaging with a short TR, compared to the longest tissue T1 of interest and short TE, compared to tissue T2 (to reduce T2 contributions to image contrast). Due to the wide range of T1 and T2 and tissue density values that can be found in the body, an image that is T1 weighted for some tissues may not be so for others.
Lesions with short T1 are (bright in T1 weighted sequences):
fat (lipoma, dermoid)
sub-acute haemorrhage (metHb)
paramagnetic agent (Gd, pituitary)
protein-containing fluid (colloid cyst)
metastatic melanoma (melanotic).
 
Images, Movies, Sliders:
 MRI Orbita T1  Open this link in a new window
    
 MRI Liver In Phase  Open this link in a new window
    
 Sagittal Knee MRI Images T1 Weighted  Open this link in a new window
 MRI - Anatomic Imaging of the Ankle 2  Open this link in a new window
    
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• View the DATABASE results for 'T1 Weighted' (56).Open this link in a new window

 
Further Reading:
  Basics:
A paired dataset of T1- and T2-weighted MRI at 3 Tesla and 7 Tesla
Thursday, 27 July 2023   by www.nature.com    
A practical guideline for T1 reconstruction from various flip angles in MRI
Saturday, 1 October 2016   by journals.sagepub.com    
Accurate T1 Quantification Using a Breath-hold Inversion Recovery TrueFISP Sequence
2003   by rsna2003.rsna.org    
  News & More:
T1rho-prepared balanced gradient echo for rapid 3D T1rho MRI
Monday, 1 September 2008   by www.ncbi.nlm.nih.gov    
Possible New MRI Marker for Multiple Sclerosis Progression
Wednesday, 29 August 2007   by www.medpagetoday.com    
T1-weighted Phase Sensitive Inversion Recovery for Imaging Multiple Sclerosis Lesions in the Cervical Spinal Cord(.pdf)
   by www.healthcare.siemens.com    
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