Quantifying Enlargement of Brain Cerebrospinal Fluid Spaces: A Differential Equation Approach to Clinical Outcome in Melancholia

2020 ◽  
Vol 38 ◽  
pp. 92-96
Author(s):  
Anisha Das
Author(s):  
Pankaj Arora ◽  
Kanica Rawat ◽  
Rajiv Azad ◽  
Kehkashan Chouhan

Abstract Objective Aim of this study is to evaluate the effect of craniospinal interventions on cerebrospinal fluid (CSF) flow hydrodynamics and study the correlation of postoperative changes in flow alteration with clinical outcome. Materials and Methods Fifty patients who underwent various craniospinal procedures were studied using conventional and phase-contrast magnetic resonance imaging (PCMRI) protocol. CSF flow quantification was performed at cerebral aqueduct, foramen magnum, C2–3, and D12–L1 vertebral levels with site showing maximal alteration of CSF flow dynamics considered as the region of interest. Velocity encoding was kept at 20 cm/s. Patients with pathology atcraniovertebral junction were considered separately (group I) from others (group II) due to different flow dynamics. Follow-up scans were performed after an interval of 1 month for temporal evaluation of changes in CSF flow dynamics. Results Patients in both groups showed a significant change in peak CSF velocity postoperatively (mean change of 1.34 cm/s in group I and 0.28 cm/s in group II) with bidirectional improvement in flow on cine-phase-contrast qualitative images. Regional pain (82%) and headache (46%) were seen in most of the patients preoperatively. Postoperatively clinical symptoms improved in 59.5%, static in 26.2%, and worsened in 14.3%. In both the groups, an improvement in clinical symptomatology had significant correlation with mean changes in peak CSF velocity postoperatively (p = 0.04 in both groups). Conclusion PCMRI can effectively evaluate changes in CSF flow noninvasively both pre- and postoperatively. This may have potential role in determining clinical outcome and prognosis of patients undergoing procedures in craniospinal axis.


2005 ◽  
Vol 18 (1) ◽  
pp. 24-33 ◽  
Author(s):  
Victoria G. Dunne ◽  
Shermina Bhattachayya ◽  
Michael Besser ◽  
Caroline Rae ◽  
Julian L. Griffin

2003 ◽  
Vol 49 (4) ◽  
pp. 216-223 ◽  
Author(s):  
Fabian Esamai ◽  
Jan Ernerudh ◽  
Helena Janols ◽  
Susanne Welin ◽  
Christina Ekerfelt ◽  
...  

2021 ◽  
Vol 2103 (1) ◽  
pp. 012158
Author(s):  
N V Larionov

Abstract The model of a single-emitter laser generating in the regime of small number of photons in the cavity mode is theoretically investigated. Based on a system of equations for different moments of the field operators the analytical expressions for mean photon number and photon number variance are obtained. Using the master equation approach the differential equation for the phase-averaged quasi-probability Q is derived. For some limiting cases the exact solutions of this equation are found.


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