Direct modeling of blood flow through the vascular network of the germinal matrix

Botkin, Nikolai D.; Kovtanyuk, Andrey E.; Turova, Varvara; Sidorenko, Irina; Lampe, Renée

doi:10.1016/j.compbiomed.2017.11.010

Cited by 15 publications

(33 citation statements)

References 38 publications

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“…For a gestational age of 23 weeks, the numerically computed resistance of the capillary level decreased from 4.8 × 10 8 Pa s m −3 to 4.3 × 10 8 Pa s m −3 (Figure 4A ) after accounting for the GM . This drop was in agreement with the mathematically predicted drop ( 42 ) from 8 × 10 8 Pa s m −3 to 6.9 × 10 8 Pa s m −3 [second value was calculated as ( RES GM −1 + RES B −1 ) −1 with RES GM = 51.5 × 10 8 Pa s m −3 and RES B = 8 × 10 8 Pa s m −3 , see Table 4 from the article ( 42 )] in a 6-edge topology model of the capillary network including GM . Furthermore, accounting for the GM can change blood flow in individual vessels up to 13.5%.…”

Section: Discussionsupporting

confidence: 91%

“…Future work will include accounting for red blood cells distributions and more realistic 3D topologies of microcirculatory networks using approaches like those described in ( 47 ). Additional improvements can also be achieved by using real data sets presenting spatial architectures of cerebral vessel trees ( 48 ), network topologies of the capillary system ( 42 ), effects of penetrating vessel occlusions ( 49 ), and other hematological parameters relevant for the description of immature brain of preterm infants.…”

Section: Limitations and Further Workmentioning

confidence: 99%

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Modeling Cerebral Blood Flow Dependence on Carbon Dioxide and Mean Arterial Blood Pressure in the Immature Brain With Accounting for the Germinal Matrix

et al. 2018

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Intraventricular hemorrhage (IVH) is one of the most critical complications in the development of preterm infants. The likelihood of IVH is strongly associated with disturbances in cerebral blood flow (CBF) and with microvascular fragility in the germinal matrix (GM). The CBF value and its reactivity to changes in arterial carbon dioxide pressure (pCO2) and mean arterial blood pressure (MABP) are relevant indicators in the clinical assessment of preterm infants. The objective of the present study is mathematical modeling of the influence of pCO2 and MABP on CBF in immature brain, based on clinical data collected from 265 preterm infants with 23–30 gestational weeks. The model was adapted to the peculiarities of immature brain by taking into account the morphological characteristics of the GM capillary network and vascular reactivity, according to gestational and postnatal age. An analysis of model based values of CBF and its reactivity to changes in MABP and pCO2 was performed separately for each gestational week and for the first two days of life both for preterm infants with and without IVH. The developed model for the estimation of CBF was validated against equivalent experimental measurements taken from the literature. A good agreement between the estimated values of CBF, as well as its reaction on changes in MABP and pCO2 and the equivalent values obtained in experimental studies was shown.

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Section: Discussionsupporting

confidence: 91%

Section: Limitations and Further Workmentioning

confidence: 99%

Modeling Cerebral Blood Flow Dependence on Carbon Dioxide and Mean Arterial Blood Pressure in the Immature Brain With Accounting for the Germinal Matrix

et al. 2018

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“…Linear elastic material properties were assumed for both layers, with elastic constants taken from the literature. The forces exerted on vessel walls—hydrostatic pressure and shear stress—were derived using the mathematical model 8 , 9 , 23 based on the clinically measured values of MAP and pCO 2 . For each clinical measurement, the FEM was employed to calculate the von Mises stresses exerted on GM and non- GM capillaries.…”

Section: Discussionmentioning

confidence: 99%

“…The velocity of blood flow near the capillary wall can be evaluated as a function of the vessel’s radius 23 as: …”

Section: Methodsmentioning

confidence: 99%

“…The former exerts a force that is orthogonal to the vessel wall and imposes a circumferential stress (hoop stress) on the vessel, whereas the latter arises from the frictional drag and shear stress from flowing blood, being parallel to the endothelium in the direction of blood flow. The biomechanical forces acting on individual capillaries were estimated using a mathematical model of the cerebral blood flow ( CBF ) 8 , 9 , 23 . The model is based on records of mean arterial pressure ( MAP ) and partial pressure of carbon dioxide ( pCO 2 ) collected during the clinical monitoring of 254 preterm infants with the gestational age ranging from 23 to 30 WG .…”

Section: Introductionmentioning

confidence: 99%

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Assessing haemorrhage-critical values of cerebral blood flow by modelling biomechanical stresses on capillaries in the immature brain

Sidorenko

Turova

Botkin

et al. 2020

Sci Rep

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The development of intraventricular haemorrhages ( IVH ) in preterm newborns is triggered by a disruption of the vessels responsible for cerebral microcirculation. Analysis of the stresses exerted on vessel walls enables the identification of the critical values of cerebral blood flow ( CBF ) associated with the development of IVH in preterm infants. The purpose of the present study is the estimation of these critical CBF values using the biomechanical stresses obtained by the finite element modelling of immature brain capillaries. The properties of the endothelial cells and basement membranes employed were selected on the basis of published nanoindentation measurements using atomic force microscopes. The forces acting on individual capillaries were derived with a mathematical model that accounts for the peculiarities of microvascularity in the immature brain. Calculations were based on clinical measurements obtained from 254 preterm infants with the gestational age ranging from 23 to 30 weeks, with and without diagnosis of IVH . No distinction between the affected and control groups with the gestational age of 23 to 26 weeks was possible. For infants with the gestational age of 27 to 30 weeks, the CBF value of 17.03 ml/100 g/min was determined as the critical upper value, above which the likelihood of IVH increases.

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A computational model for cardiovascular hemodynamics and protein transport phenomena

Ilie

2021

Health Technol.

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Direct modeling of blood flow through the vascular network of the germinal matrix

Cited by 15 publications

References 38 publications

Modeling Cerebral Blood Flow Dependence on Carbon Dioxide and Mean Arterial Blood Pressure in the Immature Brain With Accounting for the Germinal Matrix

Modeling Cerebral Blood Flow Dependence on Carbon Dioxide and Mean Arterial Blood Pressure in the Immature Brain With Accounting for the Germinal Matrix

Assessing haemorrhage-critical values of cerebral blood flow by modelling biomechanical stresses on capillaries in the immature brain

A computational model for cardiovascular hemodynamics and protein transport phenomena

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