A Mathematical Analysis of Physiological and Molecular Mechanisms that Modulate Pressure Gradients a
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@Article{IJNAMB-3-65,
author = {KATHLEEN P. WILKIE, GURJIT NAGRA, AND MILES JOHNSTON},
title = {A Mathematical Analysis of Physiological and Molecular Mechanisms that Modulate Pressure Gradients a},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2012},
volume = {3},
number = {1},
pages = {65--81},
abstract = {Perhaps the greatest paradox in the hydrocephalus field is the failure of researchers to consistently measure transmantle pressure gradients (ventricle to subarachnoid space) in either
human or animal models of the communicating form of the disorder. Without such a gradient,
conceptualization of how ventricular distention occurs is diffcult. Based on evidence from both a
mathematical model [35] and experiments in skin [51], we observed that the intraventricular injection
of anti-β_1 integrin antibodies in rat brains results in a reduction of periventricular pressures
to values below those monitored in the ventricles. In addition, many of these animals developed
hydrocephalus [30]. We conclude that the dissociation of β_1 integrins from the surrounding matrix
fibers generates pressure gradients favouring ventricular expansion suggesting a novel mechanism
for hydrocephalus development. Several issues, however, need further clarification. If hydrostatic
pressure declines in the periventricular tissues then
uid absorption must occur. Aquaporin-4
(AQP4) is a likely candidate for this absorption as it is the predominant water channel in the
brain. Indeed, when capillary function is negated, periventricular interstitial
uid pressures increase
after anti-β_1 integrin antibody administration. This suggests that capillary absorption of
parenchymal water may play a pivotal role in the generation of pressure gradients in our hydrocephalus
model. Focusing on these issues, we present two poroelastic models to investigate
the role of intramantle pressure gradients in ventriculomegaly and to determine if integrin-matrix
disassociation represents a complete causative mechanism for hydrocephalus development.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/271.html}
}
TY - JOUR
T1 - A Mathematical Analysis of Physiological and Molecular Mechanisms that Modulate Pressure Gradients a
AU - KATHLEEN P. WILKIE, GURJIT NAGRA, AND MILES JOHNSTON
JO - International Journal of Numerical Analysis Modeling Series B
VL - 1
SP - 65
EP - 81
PY - 2012
DA - 2012/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/271.html
KW - Hydrocephalus
KW - β_1 Integrins
KW - Aquaporin-4
KW - Brain Biomechanics
KW - Poroelasticity
AB - Perhaps the greatest paradox in the hydrocephalus field is the failure of researchers to consistently measure transmantle pressure gradients (ventricle to subarachnoid space) in either
human or animal models of the communicating form of the disorder. Without such a gradient,
conceptualization of how ventricular distention occurs is diffcult. Based on evidence from both a
mathematical model [35] and experiments in skin [51], we observed that the intraventricular injection
of anti-β_1 integrin antibodies in rat brains results in a reduction of periventricular pressures
to values below those monitored in the ventricles. In addition, many of these animals developed
hydrocephalus [30]. We conclude that the dissociation of β_1 integrins from the surrounding matrix
fibers generates pressure gradients favouring ventricular expansion suggesting a novel mechanism
for hydrocephalus development. Several issues, however, need further clarification. If hydrostatic
pressure declines in the periventricular tissues then
uid absorption must occur. Aquaporin-4
(AQP4) is a likely candidate for this absorption as it is the predominant water channel in the
brain. Indeed, when capillary function is negated, periventricular interstitial
uid pressures increase
after anti-β_1 integrin antibody administration. This suggests that capillary absorption of
parenchymal water may play a pivotal role in the generation of pressure gradients in our hydrocephalus
model. Focusing on these issues, we present two poroelastic models to investigate
the role of intramantle pressure gradients in ventriculomegaly and to determine if integrin-matrix
disassociation represents a complete causative mechanism for hydrocephalus development.
KATHLEEN P. WILKIE, GURJIT NAGRA, AND MILES JOHNSTON. (2012). A Mathematical Analysis of Physiological and Molecular Mechanisms that Modulate Pressure Gradients a.
International Journal of Numerical Analysis Modeling Series B. 3 (1).
65-81.
doi:
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