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Bright Lesions On Diffusion Weighted Imaging In Brain
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Fick's Law J , the net amount of material diffusing across a unit cross-section perpendicular to a direction, here chosen as  x , is proportional to the concentration gradient delta  C /delta  x  (change in concentration per unit distance): In this expression,  D  is the diffusion coefficient and is expressed in units of m²/sec. The minus sign means that the material is transported in the direction of decreasing concentration.
 
The physical process underlying the transport of material in Fick's law is the random walk  According to Einstein's law, we can expect it to end up somewhere within a sphere of radius  R  at time  t :
 
Diffusion and Magnetic Resonance
Protons in a static magnetic field When protons are placed in a static magnetic field (B 0 ), they begin to precess (i.e., their magnetic vector rotates about B 0 ).  Without special preparation, the protons (spins) precessing in a static magnetic field (B 0 ) do not produce signal because of lack of coherence between the individual precessions (they are all out of phase and hence have no net transverse component).
 
 
90° radio frequency (RF) pulse
By applying a 90° RF pulse, the frequency of which matches the frequency of precession of protons, the spins can be made to be in phase and have a net transverse component, producing signal . Dephasing After the 90° RF pulse the spins will again go out of phase, mainly because of the effect of external field inhomogeneities.
 
Rephasing For static spins, The dephasing caused by external field inhomogeneities can be eliminated with a 180° pulse. This is not possible for spins undergoing diffusion because they are not static (their position fluctuates randomly because of thermal spin motion).  The result is diffusion-related signal attenuation.
 
Pulsed Gradient Diffusion-weighted Imaging
The Stejskal-Tanner imaging sequence is used to exploit diffusion. It uses two strong gradient pulses that allow controlled diffusion weighting, according to the following equation:
Sensitization of a spin-echo  (two-dimensional Fourier transform (2DFT) imaging sequence ) to diffusion can be easily obtained by  inserting additional gradient pulses  within the sequence, according to the Stejskal-Tanner scheme.  By changing the  amplitude  G  of these gradient pulses , one can modulate the degree of diffusion weighting of the echo.
Signal intensity on a diffusion-weighted image is defined by the formula diffusion-weighted image, still contains  contributions from spin density and relaxation times T1 and T2 ;  therefore, the hyperintense lesion on a diffusion-weighted image may reflect a strong T2 effect ( T2 "shine-through" effect ) instead of reduced diffusion.
The signal intensity on diffusion-weighted images also depends on the spin density, T1, T2, TR, and TE.  To eliminate these influences and obtain pure diffusion information, we can calculate diffusion coefficient maps.  A diffusion map can be calculated by combining at least two diffusion-weighted images that are differently sensitized to diffusion but remain identical with respect to the other parameters, spin density, T1, T2, TR, and TE.
By using, for instance, the image  S 0  without diffusion weighting ( b =0) and one diffusion-weighted image ( b  > 0),  we can calculate a  D  value for each pixel  with the equation A parametric image containing these data is called a diffusion map or apparent diffusion map (ADC) . The latter term emphasizes the fact that the  D  values obtained with this procedure depend on the experimental conditions (e.g., direction of the sensitizing gradient and diffusion time delta).
 
 
The Diffusion Tensor  For an anisotropic diffusion process, the simple Stejskal-Tanner expression must be replaced by a more complicated one: where i and j can be any of the three spatial directions x, y, z in an orthogonal frame of reference.  The  b ij  terms characterize the sensitizing gradients along the i and j directions, while the  D ij  terms are defined in terms of Fick's law for anisotropic diffusion: For an anisotropic medium, differences in concentration along, say, x can lead to a net particle flux along any of the three spatial directions x, y, z, described by  D xx ,  D yx ,  D zx . Anisotropy also entails that  D xx ,  D yy ,  D zz , ... will in general be different.
Imaging Tutorial: Differential Diagnosis of Bright Lesions on Diffusion-weighted MR Images 1 Published online November 1, 2002, 10.1148/rg.e7 Tadeusz W. Stadnik, MD, PhD, Philippe Demaerel, MD, PhD, Robert R Luypaert, PhD, Christo Chaskis, MD,  Katrijn L. Van Rompaey, MD, Alex Michotte, MD  and Michel J. Osteaux, MD, PhD
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
interruption of cerebral blood flow   breakdown of energy metabolism and ion exchange   pumps  cytotoxic edema     Acute Infarction
 
 
 
relative cerebral blood volume time-to-peak map
 
 
 
 
 
 
 
 
Differential Diagnosis with Venous Stroke Differential diagnosis of arterial and venous stroke may be   impossible Hints for differential diagnosis:   Clinical presentation (typically   acute onset in arterial stroke;   in venous sinus thrombosis,   more insidious, frequently beginning   with severe headache and/or   seizures).   Early hemorrhage, especially when close to the   venous sinuses   (unusual in acute ischemic stroke).   With either   or both of the above, perform MR or computed tomography   (CT)   venography
Differential Diagnosis with Cerebritis The differential diagnosis of  early-stage cerebral abscesses   (cerebritis)  and acute infarction may be potentially   problematic --capsule identification helps
 
 
 
 
What Is the  Evolution of Acute Stroke on DW Images and ADC Maps ?   DW images . —The signal intensity on DW   images increases during the 1st week after symptom onset and   decreases thereafter; however, it  remains hyperintense for a   long period  (up to 72 days in the study by Lansberg et al This pattern is most likely the result of  two factors :  initially   to reduced diffusion  and  thereafter to increasing T2  (T2 "shine-through").   Because the DW imaging signal remains hyperintense for a long   period, it is not ideal for estimating lesion age.   ADC values . —It is accepted that  ADC standards decline rapidly   after the onset of ischemia and subsequently increase with the   "flip-flop" from dark to bright 7-10 days later  This property may be used to differentiate the lesions older   than 10 days from more acute ones
How Fast after Onset of Stroke Are Changes on DW Images and   ADC Maps Detectable ? DW images and ADC maps show changes in ischemic brain tissue   within hours  after symptom onset,  when no abnormalities are   typically seen on conventional MR images
Conclusions The signal intensity of acute stroke on DW images increases   during the 1st week after symptom onset and decreases thereafter,   but signal remains hyperintense for a long period.  The  ADC values   decline rapidly after the onset of ischemia and subsequently   increase with the " flip-flop " from dark to bright 7-10 days   later.  This property may be used to  differentiate the lesions   older than 10 days from more acute ones.
Venous Infarction
Typical Presentation on DW Images and ADC Maps Diffusion findings in human venous infarction have so far been   limited to conflicting case reports.  The  initial reports  suggested   increased to slightly  decreased ADC values with hypo- to isointensity   on DW images These findings were explained by the presence   of prominent vasogenic edema associated with mild cytotoxic   edema.  More recently , a larger series of venous infarctions   with  high signal intensity on DW images and low ADC values  were   reported The findings were attributed to cytotoxic   edema
 
 
 
 
 
 
 
 
 
Presumed Causes of Low and High Signal Intensity on DW Images The pathophysiologic mechanisms that lead to cerebral venous   infarction remain controversial.  Traditional models  hold that   retrograde venous pressure causes a breakdown of the blood-brain   barrier, with leakage of fluid ( vasogenic edema ) and hemorrhage   into the extracellular space. Alternatively, a pathway from venous obstruction to infarction   has been proposed wherein retrograde venous pressure decreases   cerebral blood flow, causing tissue damage in a manner similar   to that of arterial infarction
In authors opinion, a coherent model should combine these two explanations. Initial event raised venous pressure     disruption of capillary tight junctions   vasogenic   edema.  These lesions are completely reversible, provided there   is successful venous thrombolysis. Then follows cytotoxic edema   restriction of water diffusion   hyperintensity on DW images   . The mechanism may be energy failure with loss   of sodium-potassium pump activity,  However, in contrast to arterial stroke, the   "bright" lesions on DW images in venous infarction might be   more susceptible to complete recovery if successfully treated.
Cerebral blood flow of 6 mL/100g/min will   produce irreversible infarction, while the ischemic penumbra   with flow values of 7-20 mL/100g/min may be salvaged after restoration   of normal flow . In venous infarction, hypoperfusion develops   progressively. Authors suggest it probably seldom falls under   the threshold of approximately 6 mL/100g/min, since perfusion   of the affected brain tissue might still be possible at lower   flow rates if the blood drains through collateral pathways .The swollen cells not irreversibly   damaged and therefore have a potential for recovery .
Tumors
Glioma signal intensity of gliomas on DW images is variable Occasionally the gliomas are   hyperintense on DW images and show reduced ADC values (suggests   reduced volume of extracellular space) or not reduced ADC values   (suggests T2 "shine-through" effect)
 
 
 
 
 
 
 
Can the ADC Values Differentiate between Different  Grades  of   Gliomas? ADC values cannot be used  in individual cases to differentiate   glioma types reliably (the ADCs of patients with grade II astrocytoma   and glioblastoma overlap) However the  combination of routine image interpretation   and ADC values had a higher predictive value . (Kono et al) Clear distinction between the   low-grade gliomas and the embryonal tumors  (the ADC values for   low-grade gliomas were 1.33 x 10 -3  mm 2 /sec ± 0.21 (range,   1.132–1.60), for nonembryonal high-grade tumors the ADC   values were 1.22 x 10 -3  mm 2 /sec ± 0.09 (range, 1.128–1.303)   and for the group of  embryonal tumors  (primitive neuroectodermal   tumor, medulloblastoma, malignant teratoid-rhabdoid tumor) the   ADC values were low  0.72 x 10 -3  mm 2 /sec ± 0.20 (range, 0.538–0.974).(Gauvain et al)
 
Can the DW Images and/or ADC Maps Differentiate between Glioma   and Peritumoral Edema? The majority of recent studies report that DW images and/or   ADC maps  cannot distinguish neoplastic cell infiltration from   peritumoral edema  in patients with malignant glioma In 1995, Tien et al could distinguish areas of peritumoral   neoplastic cell infiltration from predominantly peritumoral   edema when abnormalities were located in the white matter aligned   in the direction of the DW gradient. However,  Recent findings   do not support the hypothesis that peritumoral neoplastic cell   infiltration can be depicted by means of ADCs or ADC maps
Metastases Typical Presentation on DW Images and ADC Maps The reported cases of metastases were isointense to slightly   hyperintense on DW images, and the calculated ADC values were   in the range 0.82–1.24 x 10 -3  mm 2 /sec In authors experience, the signal intensity of  non necrotic components   of metastases on DW images is  variable  (generally iso- or hypointense;   occasionally hyperintense). The  necrotic components of metastases   show a marked signal suppression on DW MR images and increased   ADC values
Tumor cellularity is probably a major determinant of signal   intensity  of solid components of cerebral metastases on DW images   and on ADC values.  The signal intensity of necrotic components   of cerebral metastases may be related to increased free water   ( usual presentation: low signal intensity on DW images, high   ADC values )  and/or presence of  extracellular methemoglobin  and/or   increased viscosity ( unusual presentation: high signal intensity   on DW images, low ADC values .)
 
 
 
 
 
 
 
 
 
 
In authors experience, the signal intensity of  nonnecrotic components   of metastases on DW images is  variable  (generally iso- or hypointense,   occasionally hyperintense).   The necrotic components of cerebral metastases show a marked   signal suppression on DW images and increased ADC values  ( Krabbe   et all).
Necrotic components of metastases show a marked   signal suppression on DW MR images and increased ADC values
 
 
 
 
unusual presentation: high signal intensity   on DW images, low ADC values .
 
 
 
 
 
Meningioma   signal intensity of meningiomas on DW images is  variable   (hyper-, iso-, or hypointense) Most benign meningiomas   are isointense on DW images and ADC maps Only 23%of benign meningiomas (three of 13) were slightly hyperintense   in the study of Filippi et al In the same study, four   malignant meningiomas had markedly increased signal intensity   on DW images, decreased signal intensity on ADC maps, and low   ADC values
 
 
 
 
 
 
 
 
 
 
Most benign   meningiomas   isointense on DW images and ADC maps On average , these  meningiomas   had an elevated ADC value  (average, 1.03 x 10 -3  mm 2 /sec ±   0.29; range, 0.62–1.80 x 10 -3  mm 2 /sec) with the  exception   of densely calcified or psammomatous meningiomas, which may   have a low ADC  (0.62 x 10 -3  mm 2 /sec). In the same study, four   malignant meningiomas  had  markedly increased signal on DW  images,   hypointense signal on ADC maps, and low ADC values  indicative   of marked restriction to water diffusion.  All these meningiomas   had T2- and T1-weighted imaging characteristics suggestive of   benign disease, including homogeneous signal intensity similar   to that of gray matter, intense homogeneous enhancement (no   cystic, necrotic, or hemorrhagic foci), smooth and distinct   margins, and no evidence of brain invasion.  Atypical or malignant   histopathologic results were not anticipated on the basis of   routine MR imaging. Tumor cellularity is probably a major determinant   of ADC values of brain tumors, although probably not the only   one
Can the DW images and ADC values differentiate between malignant   and benign meningiomas?  Considering the report of Filippi et   al ( 34 ), DW imaging is a valuable diagnostic test in the differential   diagnosis of malignant and benign meningiomas.  (Four malignant   or atypical meningiomas (World Health Organization [WHO] grades   II and III) were extremely hyperintense on the DW images ("lightbulbs")   and hypointense on the corresponding ADC maps and had markedly   decreased ADC values.  Thirteen benign meningiomas (WHO grade   I) were hyper-, iso-, or hypointense on the DW images and on   the corresponding ADC maps and had increased ADC values, with   the exception of one case of a densely calcified meningioma   (iso- to hypointense on DW images and iso- to hyperintense on   the ADC map (ADC = 0.62 x 10 -3  mm 2 /sec. In authors experience, benign   meningiomas may also show high signal intensity on DW images   and reduced ADC values.
Tumors:  Lymphoma The enhancing components of  lymphoma s are generally hyperintense   on DW images
 
 
 
 
 
The differential diagnosis of cerebral  lymphoma , metastases,   and glial tumors is frequently impossible on conventional MR   images  A large study is needed to confirm the   potential utility of DW imaging in cases of cerebral  lymphoma .
 
 
 
 
 
 
 
 
Hints for differential diagnosis: ,[object Object],[object Object],[object Object],Tumor cellularity is probably a major determinant   of ADC values of cerebral  lymphoma s
Tumors: Epidermoid Cyst
Epidermoid tumors are isointense to slightly hyperintense relative   to cerebrospinal fluid on T1-, T2-, and proton density-weighted   images It is difficult to discern the exact extension   of an Epidermoid tumor with only T1-, T2-, or proton density-weighted   imaging.  On DW images, Epidermoid tumors show high signal intensity   and are easily differentiated from cerebrospinal fluid or arachnoid   cysts  Constructive interference in the steady   state (CISS) and FLAIR sequences also depict Epidermoid tumors   in the subarachnoid spaces better than conventional SE images
The reported mean ADC value of Epidermoid tumors was 1.197   x 10 -3  mm 2 /sec. In authors experience, the ADC values   of Epidermoid cyst and gray and white matter are similar.  Therefore,   the high signal intensity of Epidermoid cysts on DW images suggests   the T2 shine-through effect.
 
 
 
 
reported mean ADC value of Epidermoid tumors   was 1.197 x 10 -3  mm 2 /sec . ADC values   of Epidermoid cyst and of gray and white matter are similar.   Therefore, the high signal intensity of epidermoid tumors on   DW images suggests the T2 shine-through effect.
 
Arachnoid cyst
 
 
 
 
Inflammation: Abscess
 
 
 
 
Differential Diagnosis of Abscess and Acute Ischemic Stroke During the initial cerebritis stage (an ill-defined subcortical   hyperintense zone on T2-weighted images associated with poorly   delineated enhancing areas within the iso- to mildly hypointense   edematous region on enhanced T1-weighted images) , the differential   diagnosis of abscess and acute ischemic stroke may be difficult.   Hints for differential diagnosis:   Clinical presentation (typically   acute onset in ischemic stroke).   Parenchymal contrast material   uptake ( unusual in subacute ischemic   stroke ).   ADC values (reported   ADC values of cerebral abscesses are ±50%   lower than   those of ischemic stroke after 8 hours).
Differential Diagnosis of Abscess and Cystic or Necrotic Tumors The differential diagnosis of intracerebral necrotic tumors   and cerebral abscesses is frequently impossible on conventional   MR images.  The DW image is a diagnostic clue in cases of a cerebral   ring-enhancing mass.  Pyogenic brain abscess has been reported   to have markedly increased signal intensity on DW images and   markedly decreased signal intensity on ADC maps, while the opposite   happens in necrotic tumors . However, Tung et al recently   reported two metastases, both squamous cell carcinomas, and   one case of radiation necrosis with markedly increased signal   intensity on DW images and a low ADC value .They speculate   that restricted diffusion in these cases was due to sterile   liquefaction necrosis.
 
 
 
 
Hints for differential diagnosis: Presentation on DW images   and ADC values.  The cystic or necrotic   components of tumors   show marked signal suppression on DW images,   similar to that   of the CSF, and the reported ADC values are   in the range of   2.2 x 10 -3  mm 2 /sec ± 0.9 and 1.65–2.62   x 10 -3  mm 2 /sec .
Conclusions DW imaging and ADC maps are useful in the differential   diagnosis of ring-enhancing cerebral masses .  The presence of   restriction on DW images and low ADC values strongly   suggest the presence of pus and abscess.  The differential diagnosis   includes acute infarction, which also shows hyperintensity on   DW images and reduced ADC values. Nevertheless, the  ring enhancement   in acute ischemic stroke is unusual, and ADC values are higher   after 8 hours .  The ring-enhancing mass with no restriction on DW images and an increase in ADC values suggest necrotic   tumor, most frequently cerebral glioma or metastasis .  For these   reasons, DW imaging and calculations of ADC values should be   performed in all cases of ring-enhancing cerebral masses.
Inflammation: Granuloma
Typical Presentation on DW Images and ADC Maps In author’s experience, the increased signal intensity on DW   images and a low ADC value are common in inflammatory granulomas
 
 
 
 
 
Differential Diagnosis of Granulomas and Nodular Cerebral Metastases The differential diagnosis of intracerebral nodular metastases   and cerebral granulomas is frequently not possible on either   conventional MR images or DW images.  Nodular metastases frequently   show high signal intensity on DW images and low ADC values (related   to high cellularity and/or hemorrhage)
 
 
 
 
 
 
 
 
 
 
Conclusions Experience with diffusion findings in cerebral granulomas is   limited . In author’s experience, the differential diagnosis   of intracerebral nodular metastases and cerebral granulomas   is frequently not possible on either conventional MR images   or DW images.
Inflammation: Encephalitis
Herpes encephalitis lesions are characterized by marked hyperintensity   on DW images and reduced ADC values . On follow-up T1- and T2-weighted   MR images, these areas demonstrate encephalomalacic change .
 
 
 
 
Differential Diagnosis Hints for differential diagnosis  herpes encephalitis versus   infiltrative temporal lobe glial tumors:   If confirmed, the  hyper intensity   on DW images and reduced ADC   values favor the diagnosis of herpes   encephalitis .   Biological tests (polymerase chain reaction   test).   The differential diagnosis between acute ischemic stroke and   herpes encephalitis may be problematic on DW images.   Hints for differential diagnosis herpes encephalitis versus   ischemic stroke:   Clinical presentation (acute onset in ischemic   stroke, more   progressive in herpes encephalitis).   Biological   tests (polymerase chain reaction test).   Initial reports suggest that herpes encephalitis lesions are   characterized by marked hyper intensity on DW images and reduced   ADC values (48%–66%of those of normal brain parenchyma)
Hemorrhage
High signal intensity on DW images is reported  in  hyperacute   (intracellular oxyhemoglobin) and late subacute (extracellular   methemoglobin) stages  of hemorrhage . The  ADC values   decreased or normal in hyperacute stages  and  increased in the late subacute stage.
 
 
 
 
 
 
 
 
 
Differential Diagnosis with Hyperacute Ischemic Stroke The differential diagnosis of hyperacute ischemic stroke and   hemorrhage may be impossible on DW images and ADC maps alone.   Conjoint use of DW images and ADC maps with T2-weighted   SE or T2*-weighted gradient-echo and/or T2-weighted echo-planar   images, especially during the therapeutic window for thrombolysis   (up to 3 hours after onset), is mandatory in differentiating   hyperacute stroke from hyperacute hemorrhage. Hints for differential diagnosis:   hyperacute ischemic stroke   the T2-weighted SE and T2*-weighted   gradient-echo findings are   normal.   hyperacute hemorrhage, heterogeneous hyperintensity   with   a hypointense rim is seen on T2-weighted SE and T2*-weighted   gradient-echo images.
Conclusions recognition of early intracranial hemorrhage, specifically   on MR images, has become important because the primary assessment   of patients with early stroke is moving toward MR imaging and   away from CT scanning .  As DW imaging becomes integrated into   the initial emergent evaluation of patients with acute stroke, it becomes paramount to understand the manifestations   of intracranial hemorrhage on DW MR imaging specifically.  The   differential diagnosis of hyperacute ischemic stroke and hemorrhage   may be impossible on DW images and ADC maps alone.
Multiple Sclerosis
In author’s experience,  the signal intensity of  multiple sclerosis   (MS) on DW images is variable  (hyper-, iso-, or hypointense)   Gass et al reported that  enhancing lesions were   restricted  relative to white matter on  DW images , while  chronic   lesions were not .  Most studies focus on  ADC values in   MS . These studies show an  increase in ADC values in MS lesions   and perhaps also in the ADC values of normal-appearing white   matter of MS patients  . Therefore,  we can hypothesize   that the restriction in MS lesions on DW images results   from the T2 shine-through effect.
 
 
 
 
 
 
Conclusions In author’s experience, the signal intensity of MS lesions on DW   images is variable (hyper-, iso-, or hypointense).  The majority   of studies have showed increases in ADC values in MS lesions   and perhaps in the ADC values of normal-appearing white matter   of MS patients . Therefore, we can hypothesize   that the increased intensity of MS lesions on DW images is due   to the T2 shine-through effect.  Occasionally, the high-intensity   plaques on DW images (especially homogeneously enhancing lesions)   may show reduced ADC values.  Perhaps the subset of homogeneously   enhancing lesions with a low trace ADC represents a very early   enhancing lesion with marked inflammation and no substantial   demyelination .
Creutzfeld-Jakob Disease
The reported cases of sporadic Creutzfeld-Jakob disease (CJD)   showed high signal intensities in the basal ganglia (putamen   and caudate nucleus) and in the cortex on DW images .  The high   signal intensities in the basal ganglia are also prevalent on   T2-weighted and FLAIR images.  The cortical hyperintensities   are usually not visualized on T2-weighted and FLAIR images (advantage   of DW imaging)
 
 
 
Hints for differential diagnosis:   Clinical presentation (typically   acute onset in ischemic stroke).   ADC values (decreased in   acute stroke, approximately similar   to those of white matter   in CJD).   Differential Diagnosis of CJD and Acute Ischemic Stroke Differential Diagnosis of CJD, Progressive Multifocal Leukoencephalopathy, and Subacute Sclerosing Panencephalitis (SSPE) Hints for differential diagnosis:   On T2-weighetd and FLAIR images,   PML and SSPE are associated   with white matter lesions, while   CJD is not.   The high-signal-intensity cortical lesions on   DW images may   be also a hallmark of CJD.
 
The typical presentation of sporadic CJD on MR images includes   high signal intensities in the basal ganglia (putamen, caudate   nucleus) and cortex. DW imaging is more sensitive than T2- or   proton density-weighted imaging in detecting cortical abnormalities.   The DW images may provide a diagnostic clue in early detection   of CJD
Other Bright Lesions on DW Images  "When you’ve got a new hammer, everything looks like a   nail.“ Michael Brant-Zawadzki
Sustained Seizure Activity Eclampsia neuroradiologic hallmarks of eclampsia are reversible abnormalities   that appear hypoattenuating on CT studies and hyperintense on   T2-weighted MR images, in a subcortical, predominantly parietal   and occipital distribution transient increase in signal intensity and swelling   in the cortical gray matter, subcortical white matter, or hippocampus   on periictal T2-weighted images ,and   on DW images .The ADC values were reduced   by 6%–28%compared with either the normal structure opposite   the lesion Central Pontine Myelinolysis patients with central pontine myelinolysis were studied   with DW imaging 1 week after onset of tetraplegia. In both patients,   affected white matter showed hyperintensity on DW images, associated   with a decrease in ADC values
Thank you. Laxmishankar  Dixit…

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Diffusion Final

  • 1. Bright Lesions On Diffusion Weighted Imaging In Brain
  • 2.
  • 3. Fick's Law J , the net amount of material diffusing across a unit cross-section perpendicular to a direction, here chosen as x , is proportional to the concentration gradient delta C /delta x (change in concentration per unit distance): In this expression, D is the diffusion coefficient and is expressed in units of m²/sec. The minus sign means that the material is transported in the direction of decreasing concentration.
  • 4.  
  • 5. The physical process underlying the transport of material in Fick's law is the random walk According to Einstein's law, we can expect it to end up somewhere within a sphere of radius R at time t :
  • 6.  
  • 8. Protons in a static magnetic field When protons are placed in a static magnetic field (B 0 ), they begin to precess (i.e., their magnetic vector rotates about B 0 ). Without special preparation, the protons (spins) precessing in a static magnetic field (B 0 ) do not produce signal because of lack of coherence between the individual precessions (they are all out of phase and hence have no net transverse component).
  • 9.  
  • 10.  
  • 11. 90° radio frequency (RF) pulse
  • 12. By applying a 90° RF pulse, the frequency of which matches the frequency of precession of protons, the spins can be made to be in phase and have a net transverse component, producing signal . Dephasing After the 90° RF pulse the spins will again go out of phase, mainly because of the effect of external field inhomogeneities.
  • 13.  
  • 14. Rephasing For static spins, The dephasing caused by external field inhomogeneities can be eliminated with a 180° pulse. This is not possible for spins undergoing diffusion because they are not static (their position fluctuates randomly because of thermal spin motion). The result is diffusion-related signal attenuation.
  • 15.  
  • 17. The Stejskal-Tanner imaging sequence is used to exploit diffusion. It uses two strong gradient pulses that allow controlled diffusion weighting, according to the following equation:
  • 18. Sensitization of a spin-echo (two-dimensional Fourier transform (2DFT) imaging sequence ) to diffusion can be easily obtained by inserting additional gradient pulses within the sequence, according to the Stejskal-Tanner scheme. By changing the amplitude G of these gradient pulses , one can modulate the degree of diffusion weighting of the echo.
  • 19. Signal intensity on a diffusion-weighted image is defined by the formula diffusion-weighted image, still contains contributions from spin density and relaxation times T1 and T2 ; therefore, the hyperintense lesion on a diffusion-weighted image may reflect a strong T2 effect ( T2 "shine-through" effect ) instead of reduced diffusion.
  • 20. The signal intensity on diffusion-weighted images also depends on the spin density, T1, T2, TR, and TE. To eliminate these influences and obtain pure diffusion information, we can calculate diffusion coefficient maps. A diffusion map can be calculated by combining at least two diffusion-weighted images that are differently sensitized to diffusion but remain identical with respect to the other parameters, spin density, T1, T2, TR, and TE.
  • 21. By using, for instance, the image S 0 without diffusion weighting ( b =0) and one diffusion-weighted image ( b > 0), we can calculate a D value for each pixel with the equation A parametric image containing these data is called a diffusion map or apparent diffusion map (ADC) . The latter term emphasizes the fact that the D values obtained with this procedure depend on the experimental conditions (e.g., direction of the sensitizing gradient and diffusion time delta).
  • 22.  
  • 23.  
  • 24. The Diffusion Tensor For an anisotropic diffusion process, the simple Stejskal-Tanner expression must be replaced by a more complicated one: where i and j can be any of the three spatial directions x, y, z in an orthogonal frame of reference. The b ij terms characterize the sensitizing gradients along the i and j directions, while the D ij terms are defined in terms of Fick's law for anisotropic diffusion: For an anisotropic medium, differences in concentration along, say, x can lead to a net particle flux along any of the three spatial directions x, y, z, described by D xx , D yx , D zx . Anisotropy also entails that D xx , D yy , D zz , ... will in general be different.
  • 25. Imaging Tutorial: Differential Diagnosis of Bright Lesions on Diffusion-weighted MR Images 1 Published online November 1, 2002, 10.1148/rg.e7 Tadeusz W. Stadnik, MD, PhD, Philippe Demaerel, MD, PhD, Robert R Luypaert, PhD, Christo Chaskis, MD, Katrijn L. Van Rompaey, MD, Alex Michotte, MD and Michel J. Osteaux, MD, PhD
  • 26.
  • 27. interruption of cerebral blood flow  breakdown of energy metabolism and ion exchange pumps  cytotoxic edema    Acute Infarction
  • 28.  
  • 29.  
  • 30.  
  • 31. relative cerebral blood volume time-to-peak map
  • 32.  
  • 33.  
  • 34.  
  • 35.  
  • 36.  
  • 37.  
  • 38.  
  • 39.  
  • 40. Differential Diagnosis with Venous Stroke Differential diagnosis of arterial and venous stroke may be impossible Hints for differential diagnosis: Clinical presentation (typically acute onset in arterial stroke; in venous sinus thrombosis, more insidious, frequently beginning with severe headache and/or seizures). Early hemorrhage, especially when close to the venous sinuses (unusual in acute ischemic stroke). With either or both of the above, perform MR or computed tomography (CT) venography
  • 41. Differential Diagnosis with Cerebritis The differential diagnosis of early-stage cerebral abscesses (cerebritis) and acute infarction may be potentially problematic --capsule identification helps
  • 42.  
  • 43.  
  • 44.  
  • 45.  
  • 46. What Is the Evolution of Acute Stroke on DW Images and ADC Maps ? DW images . —The signal intensity on DW images increases during the 1st week after symptom onset and decreases thereafter; however, it remains hyperintense for a long period (up to 72 days in the study by Lansberg et al This pattern is most likely the result of two factors : initially to reduced diffusion and thereafter to increasing T2 (T2 "shine-through"). Because the DW imaging signal remains hyperintense for a long period, it is not ideal for estimating lesion age. ADC values . —It is accepted that ADC standards decline rapidly after the onset of ischemia and subsequently increase with the "flip-flop" from dark to bright 7-10 days later This property may be used to differentiate the lesions older than 10 days from more acute ones
  • 47. How Fast after Onset of Stroke Are Changes on DW Images and ADC Maps Detectable ? DW images and ADC maps show changes in ischemic brain tissue within hours after symptom onset, when no abnormalities are typically seen on conventional MR images
  • 48. Conclusions The signal intensity of acute stroke on DW images increases during the 1st week after symptom onset and decreases thereafter, but signal remains hyperintense for a long period. The ADC values decline rapidly after the onset of ischemia and subsequently increase with the " flip-flop " from dark to bright 7-10 days later. This property may be used to differentiate the lesions older than 10 days from more acute ones.
  • 50. Typical Presentation on DW Images and ADC Maps Diffusion findings in human venous infarction have so far been limited to conflicting case reports. The initial reports suggested increased to slightly decreased ADC values with hypo- to isointensity on DW images These findings were explained by the presence of prominent vasogenic edema associated with mild cytotoxic edema. More recently , a larger series of venous infarctions with high signal intensity on DW images and low ADC values were reported The findings were attributed to cytotoxic edema
  • 51.  
  • 52.  
  • 53.  
  • 54.  
  • 55.  
  • 56.  
  • 57.  
  • 58.  
  • 59.  
  • 60. Presumed Causes of Low and High Signal Intensity on DW Images The pathophysiologic mechanisms that lead to cerebral venous infarction remain controversial. Traditional models hold that retrograde venous pressure causes a breakdown of the blood-brain barrier, with leakage of fluid ( vasogenic edema ) and hemorrhage into the extracellular space. Alternatively, a pathway from venous obstruction to infarction has been proposed wherein retrograde venous pressure decreases cerebral blood flow, causing tissue damage in a manner similar to that of arterial infarction
  • 61. In authors opinion, a coherent model should combine these two explanations. Initial event raised venous pressure  disruption of capillary tight junctions  vasogenic edema. These lesions are completely reversible, provided there is successful venous thrombolysis. Then follows cytotoxic edema  restriction of water diffusion  hyperintensity on DW images . The mechanism may be energy failure with loss of sodium-potassium pump activity, However, in contrast to arterial stroke, the "bright" lesions on DW images in venous infarction might be more susceptible to complete recovery if successfully treated.
  • 62. Cerebral blood flow of 6 mL/100g/min will produce irreversible infarction, while the ischemic penumbra with flow values of 7-20 mL/100g/min may be salvaged after restoration of normal flow . In venous infarction, hypoperfusion develops progressively. Authors suggest it probably seldom falls under the threshold of approximately 6 mL/100g/min, since perfusion of the affected brain tissue might still be possible at lower flow rates if the blood drains through collateral pathways .The swollen cells not irreversibly damaged and therefore have a potential for recovery .
  • 64. Glioma signal intensity of gliomas on DW images is variable Occasionally the gliomas are hyperintense on DW images and show reduced ADC values (suggests reduced volume of extracellular space) or not reduced ADC values (suggests T2 "shine-through" effect)
  • 65.  
  • 66.  
  • 67.  
  • 68.  
  • 69.  
  • 70.  
  • 71.  
  • 72. Can the ADC Values Differentiate between Different Grades of Gliomas? ADC values cannot be used in individual cases to differentiate glioma types reliably (the ADCs of patients with grade II astrocytoma and glioblastoma overlap) However the combination of routine image interpretation and ADC values had a higher predictive value . (Kono et al) Clear distinction between the low-grade gliomas and the embryonal tumors (the ADC values for low-grade gliomas were 1.33 x 10 -3 mm 2 /sec ± 0.21 (range, 1.132–1.60), for nonembryonal high-grade tumors the ADC values were 1.22 x 10 -3 mm 2 /sec ± 0.09 (range, 1.128–1.303) and for the group of embryonal tumors (primitive neuroectodermal tumor, medulloblastoma, malignant teratoid-rhabdoid tumor) the ADC values were low 0.72 x 10 -3 mm 2 /sec ± 0.20 (range, 0.538–0.974).(Gauvain et al)
  • 73.  
  • 74. Can the DW Images and/or ADC Maps Differentiate between Glioma and Peritumoral Edema? The majority of recent studies report that DW images and/or ADC maps cannot distinguish neoplastic cell infiltration from peritumoral edema in patients with malignant glioma In 1995, Tien et al could distinguish areas of peritumoral neoplastic cell infiltration from predominantly peritumoral edema when abnormalities were located in the white matter aligned in the direction of the DW gradient. However, Recent findings do not support the hypothesis that peritumoral neoplastic cell infiltration can be depicted by means of ADCs or ADC maps
  • 75. Metastases Typical Presentation on DW Images and ADC Maps The reported cases of metastases were isointense to slightly hyperintense on DW images, and the calculated ADC values were in the range 0.82–1.24 x 10 -3 mm 2 /sec In authors experience, the signal intensity of non necrotic components of metastases on DW images is variable (generally iso- or hypointense; occasionally hyperintense). The necrotic components of metastases show a marked signal suppression on DW MR images and increased ADC values
  • 76. Tumor cellularity is probably a major determinant of signal intensity of solid components of cerebral metastases on DW images and on ADC values. The signal intensity of necrotic components of cerebral metastases may be related to increased free water ( usual presentation: low signal intensity on DW images, high ADC values ) and/or presence of extracellular methemoglobin and/or increased viscosity ( unusual presentation: high signal intensity on DW images, low ADC values .)
  • 77.  
  • 78.  
  • 79.  
  • 80.  
  • 81.  
  • 82.  
  • 83.  
  • 84.  
  • 85.  
  • 86.  
  • 87. In authors experience, the signal intensity of nonnecrotic components of metastases on DW images is variable (generally iso- or hypointense, occasionally hyperintense). The necrotic components of cerebral metastases show a marked signal suppression on DW images and increased ADC values ( Krabbe et all).
  • 88. Necrotic components of metastases show a marked signal suppression on DW MR images and increased ADC values
  • 89.  
  • 90.  
  • 91.  
  • 92.  
  • 93. unusual presentation: high signal intensity on DW images, low ADC values .
  • 94.  
  • 95.  
  • 96.  
  • 97.  
  • 98.  
  • 99. Meningioma signal intensity of meningiomas on DW images is variable (hyper-, iso-, or hypointense) Most benign meningiomas are isointense on DW images and ADC maps Only 23%of benign meningiomas (three of 13) were slightly hyperintense in the study of Filippi et al In the same study, four malignant meningiomas had markedly increased signal intensity on DW images, decreased signal intensity on ADC maps, and low ADC values
  • 100.  
  • 101.  
  • 102.  
  • 103.  
  • 104.  
  • 105.  
  • 106.  
  • 107.  
  • 108.  
  • 109.  
  • 110. Most benign meningiomas  isointense on DW images and ADC maps On average , these meningiomas had an elevated ADC value (average, 1.03 x 10 -3 mm 2 /sec ± 0.29; range, 0.62–1.80 x 10 -3 mm 2 /sec) with the exception of densely calcified or psammomatous meningiomas, which may have a low ADC (0.62 x 10 -3 mm 2 /sec). In the same study, four malignant meningiomas had markedly increased signal on DW images, hypointense signal on ADC maps, and low ADC values indicative of marked restriction to water diffusion. All these meningiomas had T2- and T1-weighted imaging characteristics suggestive of benign disease, including homogeneous signal intensity similar to that of gray matter, intense homogeneous enhancement (no cystic, necrotic, or hemorrhagic foci), smooth and distinct margins, and no evidence of brain invasion. Atypical or malignant histopathologic results were not anticipated on the basis of routine MR imaging. Tumor cellularity is probably a major determinant of ADC values of brain tumors, although probably not the only one
  • 111. Can the DW images and ADC values differentiate between malignant and benign meningiomas? Considering the report of Filippi et al ( 34 ), DW imaging is a valuable diagnostic test in the differential diagnosis of malignant and benign meningiomas. (Four malignant or atypical meningiomas (World Health Organization [WHO] grades II and III) were extremely hyperintense on the DW images ("lightbulbs") and hypointense on the corresponding ADC maps and had markedly decreased ADC values. Thirteen benign meningiomas (WHO grade I) were hyper-, iso-, or hypointense on the DW images and on the corresponding ADC maps and had increased ADC values, with the exception of one case of a densely calcified meningioma (iso- to hypointense on DW images and iso- to hyperintense on the ADC map (ADC = 0.62 x 10 -3 mm 2 /sec. In authors experience, benign meningiomas may also show high signal intensity on DW images and reduced ADC values.
  • 112. Tumors: Lymphoma The enhancing components of lymphoma s are generally hyperintense on DW images
  • 113.  
  • 114.  
  • 115.  
  • 116.  
  • 117.  
  • 118. The differential diagnosis of cerebral lymphoma , metastases, and glial tumors is frequently impossible on conventional MR images A large study is needed to confirm the potential utility of DW imaging in cases of cerebral lymphoma .
  • 119.  
  • 120.  
  • 121.  
  • 122.  
  • 123.  
  • 124.  
  • 125.  
  • 126.  
  • 127.
  • 129. Epidermoid tumors are isointense to slightly hyperintense relative to cerebrospinal fluid on T1-, T2-, and proton density-weighted images It is difficult to discern the exact extension of an Epidermoid tumor with only T1-, T2-, or proton density-weighted imaging. On DW images, Epidermoid tumors show high signal intensity and are easily differentiated from cerebrospinal fluid or arachnoid cysts Constructive interference in the steady state (CISS) and FLAIR sequences also depict Epidermoid tumors in the subarachnoid spaces better than conventional SE images
  • 130. The reported mean ADC value of Epidermoid tumors was 1.197 x 10 -3 mm 2 /sec. In authors experience, the ADC values of Epidermoid cyst and gray and white matter are similar. Therefore, the high signal intensity of Epidermoid cysts on DW images suggests the T2 shine-through effect.
  • 131.  
  • 132.  
  • 133.  
  • 134.  
  • 135. reported mean ADC value of Epidermoid tumors was 1.197 x 10 -3 mm 2 /sec . ADC values of Epidermoid cyst and of gray and white matter are similar. Therefore, the high signal intensity of epidermoid tumors on DW images suggests the T2 shine-through effect.
  • 136.  
  • 138.  
  • 139.  
  • 140.  
  • 141.  
  • 143.  
  • 144.  
  • 145.  
  • 146.  
  • 147. Differential Diagnosis of Abscess and Acute Ischemic Stroke During the initial cerebritis stage (an ill-defined subcortical hyperintense zone on T2-weighted images associated with poorly delineated enhancing areas within the iso- to mildly hypointense edematous region on enhanced T1-weighted images) , the differential diagnosis of abscess and acute ischemic stroke may be difficult. Hints for differential diagnosis: Clinical presentation (typically acute onset in ischemic stroke). Parenchymal contrast material uptake ( unusual in subacute ischemic stroke ). ADC values (reported ADC values of cerebral abscesses are ±50% lower than those of ischemic stroke after 8 hours).
  • 148. Differential Diagnosis of Abscess and Cystic or Necrotic Tumors The differential diagnosis of intracerebral necrotic tumors and cerebral abscesses is frequently impossible on conventional MR images. The DW image is a diagnostic clue in cases of a cerebral ring-enhancing mass. Pyogenic brain abscess has been reported to have markedly increased signal intensity on DW images and markedly decreased signal intensity on ADC maps, while the opposite happens in necrotic tumors . However, Tung et al recently reported two metastases, both squamous cell carcinomas, and one case of radiation necrosis with markedly increased signal intensity on DW images and a low ADC value .They speculate that restricted diffusion in these cases was due to sterile liquefaction necrosis.
  • 149.  
  • 150.  
  • 151.  
  • 152.  
  • 153. Hints for differential diagnosis: Presentation on DW images and ADC values. The cystic or necrotic components of tumors show marked signal suppression on DW images, similar to that of the CSF, and the reported ADC values are in the range of 2.2 x 10 -3 mm 2 /sec ± 0.9 and 1.65–2.62 x 10 -3 mm 2 /sec .
  • 154. Conclusions DW imaging and ADC maps are useful in the differential diagnosis of ring-enhancing cerebral masses . The presence of restriction on DW images and low ADC values strongly suggest the presence of pus and abscess. The differential diagnosis includes acute infarction, which also shows hyperintensity on DW images and reduced ADC values. Nevertheless, the ring enhancement in acute ischemic stroke is unusual, and ADC values are higher after 8 hours . The ring-enhancing mass with no restriction on DW images and an increase in ADC values suggest necrotic tumor, most frequently cerebral glioma or metastasis . For these reasons, DW imaging and calculations of ADC values should be performed in all cases of ring-enhancing cerebral masses.
  • 156. Typical Presentation on DW Images and ADC Maps In author’s experience, the increased signal intensity on DW images and a low ADC value are common in inflammatory granulomas
  • 157.  
  • 158.  
  • 159.  
  • 160.  
  • 161.  
  • 162. Differential Diagnosis of Granulomas and Nodular Cerebral Metastases The differential diagnosis of intracerebral nodular metastases and cerebral granulomas is frequently not possible on either conventional MR images or DW images. Nodular metastases frequently show high signal intensity on DW images and low ADC values (related to high cellularity and/or hemorrhage)
  • 163.  
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  • 173. Conclusions Experience with diffusion findings in cerebral granulomas is limited . In author’s experience, the differential diagnosis of intracerebral nodular metastases and cerebral granulomas is frequently not possible on either conventional MR images or DW images.
  • 175. Herpes encephalitis lesions are characterized by marked hyperintensity on DW images and reduced ADC values . On follow-up T1- and T2-weighted MR images, these areas demonstrate encephalomalacic change .
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  • 180. Differential Diagnosis Hints for differential diagnosis herpes encephalitis versus infiltrative temporal lobe glial tumors: If confirmed, the hyper intensity on DW images and reduced ADC values favor the diagnosis of herpes encephalitis . Biological tests (polymerase chain reaction test). The differential diagnosis between acute ischemic stroke and herpes encephalitis may be problematic on DW images. Hints for differential diagnosis herpes encephalitis versus ischemic stroke: Clinical presentation (acute onset in ischemic stroke, more progressive in herpes encephalitis). Biological tests (polymerase chain reaction test). Initial reports suggest that herpes encephalitis lesions are characterized by marked hyper intensity on DW images and reduced ADC values (48%–66%of those of normal brain parenchyma)
  • 182. High signal intensity on DW images is reported in hyperacute (intracellular oxyhemoglobin) and late subacute (extracellular methemoglobin) stages of hemorrhage . The ADC values  decreased or normal in hyperacute stages and increased in the late subacute stage.
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  • 192. Differential Diagnosis with Hyperacute Ischemic Stroke The differential diagnosis of hyperacute ischemic stroke and hemorrhage may be impossible on DW images and ADC maps alone. Conjoint use of DW images and ADC maps with T2-weighted SE or T2*-weighted gradient-echo and/or T2-weighted echo-planar images, especially during the therapeutic window for thrombolysis (up to 3 hours after onset), is mandatory in differentiating hyperacute stroke from hyperacute hemorrhage. Hints for differential diagnosis: hyperacute ischemic stroke the T2-weighted SE and T2*-weighted gradient-echo findings are normal. hyperacute hemorrhage, heterogeneous hyperintensity with a hypointense rim is seen on T2-weighted SE and T2*-weighted gradient-echo images.
  • 193. Conclusions recognition of early intracranial hemorrhage, specifically on MR images, has become important because the primary assessment of patients with early stroke is moving toward MR imaging and away from CT scanning . As DW imaging becomes integrated into the initial emergent evaluation of patients with acute stroke, it becomes paramount to understand the manifestations of intracranial hemorrhage on DW MR imaging specifically. The differential diagnosis of hyperacute ischemic stroke and hemorrhage may be impossible on DW images and ADC maps alone.
  • 195. In author’s experience, the signal intensity of multiple sclerosis (MS) on DW images is variable (hyper-, iso-, or hypointense) Gass et al reported that enhancing lesions were restricted relative to white matter on DW images , while chronic lesions were not . Most studies focus on ADC values in MS . These studies show an increase in ADC values in MS lesions and perhaps also in the ADC values of normal-appearing white matter of MS patients . Therefore, we can hypothesize that the restriction in MS lesions on DW images results from the T2 shine-through effect.
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  • 202. Conclusions In author’s experience, the signal intensity of MS lesions on DW images is variable (hyper-, iso-, or hypointense). The majority of studies have showed increases in ADC values in MS lesions and perhaps in the ADC values of normal-appearing white matter of MS patients . Therefore, we can hypothesize that the increased intensity of MS lesions on DW images is due to the T2 shine-through effect. Occasionally, the high-intensity plaques on DW images (especially homogeneously enhancing lesions) may show reduced ADC values. Perhaps the subset of homogeneously enhancing lesions with a low trace ADC represents a very early enhancing lesion with marked inflammation and no substantial demyelination .
  • 204. The reported cases of sporadic Creutzfeld-Jakob disease (CJD) showed high signal intensities in the basal ganglia (putamen and caudate nucleus) and in the cortex on DW images . The high signal intensities in the basal ganglia are also prevalent on T2-weighted and FLAIR images. The cortical hyperintensities are usually not visualized on T2-weighted and FLAIR images (advantage of DW imaging)
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  • 208. Hints for differential diagnosis: Clinical presentation (typically acute onset in ischemic stroke). ADC values (decreased in acute stroke, approximately similar to those of white matter in CJD). Differential Diagnosis of CJD and Acute Ischemic Stroke Differential Diagnosis of CJD, Progressive Multifocal Leukoencephalopathy, and Subacute Sclerosing Panencephalitis (SSPE) Hints for differential diagnosis: On T2-weighetd and FLAIR images, PML and SSPE are associated with white matter lesions, while CJD is not. The high-signal-intensity cortical lesions on DW images may be also a hallmark of CJD.
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  • 210. The typical presentation of sporadic CJD on MR images includes high signal intensities in the basal ganglia (putamen, caudate nucleus) and cortex. DW imaging is more sensitive than T2- or proton density-weighted imaging in detecting cortical abnormalities. The DW images may provide a diagnostic clue in early detection of CJD
  • 211. Other Bright Lesions on DW Images "When you’ve got a new hammer, everything looks like a nail.“ Michael Brant-Zawadzki
  • 212. Sustained Seizure Activity Eclampsia neuroradiologic hallmarks of eclampsia are reversible abnormalities that appear hypoattenuating on CT studies and hyperintense on T2-weighted MR images, in a subcortical, predominantly parietal and occipital distribution transient increase in signal intensity and swelling in the cortical gray matter, subcortical white matter, or hippocampus on periictal T2-weighted images ,and on DW images .The ADC values were reduced by 6%–28%compared with either the normal structure opposite the lesion Central Pontine Myelinolysis patients with central pontine myelinolysis were studied with DW imaging 1 week after onset of tetraplegia. In both patients, affected white matter showed hyperintensity on DW images, associated with a decrease in ADC values