A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model

Müller, Lucas O.; Blanco, Pablo; Watanabe, Sansuke M.; Feijóo, Raúl A.

doi:10.1002/cnm.2761

Cited by 38 publications

(54 citation statements)

References 65 publications

(138 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…[12][13][14][15] Mathematical formulae are presented in detail in the Supplementary Material. The interested reader is directed to works by Blanco et al 10 11 16 and Müller et al 17 for further details.…”

Section: Mathematical Modelmentioning

confidence: 99%

Blood pressure gradients in cerebral arteries: a clue to pathogenesis of cerebral small vessel disease

2017

View full text Add to dashboard Cite

RationaleThe role of hypertension in cerebral small vessel disease is poorly understood. At the base of the brain (the ‘vascular centrencephalon’), short straight arteries transmit blood pressure directly to small resistance vessels; the cerebral convexity is supplied by long arteries with many branches, resulting in a drop in blood pressure. Hypertensive small vessel disease (lipohyalinosis) causes the classically described lacunar infarctions at the base of the brain; however, periventricular white matter intensities (WMIs) seen on MRI and WMI in subcortical areas over the convexity, which are often also called ‘lacunes’, probably have different aetiologies.ObjectivesWe studied pressure gradients from proximal to distal regions of the cerebral vasculature by mathematical modelling.Methods and resultsBlood flow/pressure equations were solved in an Anatomically Detailed Arterial Network (ADAN) model, considering a normotensive and a hypertensive case. Model parameters were suitably modified to account for structural changes in arterial vessels in the hypertensive scenario. Computations predict a marked drop in blood pressure from large and medium-sized cerebral vessels to cerebral peripheral beds. When blood pressure in the brachial artery is 192/113 mm Hg, the pressure in the small arterioles of the posterior parietal artery bed would be only 117/68 mm Hg. In the normotensive case, with blood pressure in the brachial artery of 117/75 mm Hg, the pressure in small parietal arterioles would be only 59/38 mm Hg.ConclusionThese findings have important implications for understanding small vessel disease. The marked pressure gradient across cerebral arteries should be taken into account when evaluating the pathogenesis of small WMIs on MRI. Hypertensive small vessel disease, affecting the arterioles at the base of the brain should be distinguished from small vessel disease in subcortical regions of the convexity and venous disease in the periventricular white matter.

show abstract

Section: Mathematical Modelmentioning

confidence: 99%

Blood pressure gradients in cerebral arteries: a clue to pathogenesis of cerebral small vessel disease

2017

View full text Add to dashboard Cite

show abstract

“…Furthermore, the filter performance and its identification capabilities using either flow or pressure measurements are studied. To solve the 1‐dimensional blood flow model, corresponding to the experimental network, we consider the finite volume numerical method described in literature …”

Section: Introductionmentioning

confidence: 99%

Assessment of reduced‐order unscented Kalman filter for parameter identification in 1‐dimensional blood flow models using experimental data

Caiazzo

Caforio

Montecinos

et al. 2017

Numer Methods Biomed Eng

Self Cite

View full text Add to dashboard Cite

This work presents a detailed investigation of a parameter estimation approach on the basis of the reduced-order unscented Kalman filter (ROUKF) in the context of 1-dimensional blood flow models. In particular, the main aims of this study are (1) to investigate the effects of using real measurements versus synthetic data for the estimation procedure (i.e., numerical results of the same in silico model, perturbed with noise) and (2) to identify potential difficulties and limitations of the approach in clinically realistic applications to assess the applicability of the filter to such setups. For these purposes, the present numerical study is based on a recently published in vitro model of the arterial network, for which experimental flow and pressure measurements are available at few selected locations. To mimic clinically relevant situations, we focus on the estimation of terminal resistances and arterial wall parameters related to vessel mechanics (Young's modulus and wall thickness) using few experimental observations (at most a single pressure or flow measurement per vessel). In all cases, we first perform a theoretical identifiability analysis on the basis of the generalized sensitivity function, comparing then the results owith the ROUKF, using either synthetic or experimental data, to results obtained using reference parameters and to available measurements.

show abstract

“…The arterial system is represented by a network of elastic tubes, with the LV as the inlet of the circuit and peripheral circulation as terminals. Some relevant contributions on 1D blood flow modelling can be found in recent studies …”

Section: Modelling the Effects Of Ageing On The Human Bodymentioning

confidence: 99%

Influence of ageing on human body blood flow and heat transfer: A detailed computational modelling study

Coccarelli

Hasan

Carson

et al. 2018

Numer Methods Biomed Eng

View full text Add to dashboard Cite

Ageing plays a fundamental role in arterial blood transport and heat transfer within a human body. The aim of this work is to provide a comprehensive methodology, based on biomechanical considerations, for modelling arterial flow and energy exchange mechanisms in the body accounting for age‐induced changes. The study outlines a framework for age‐related modifications within several interlinked subsystems, which include arterial stiffening, heart contractility variations, tissue volume and property changes, and thermoregulatory system deterioration. Some of the proposed age‐dependent governing equations are directly extrapolated from experimental data sets. The computational framework is demonstrated through numerical experiments, which show the impact of such age‐related changes on arterial blood pressure, local temperature distribution, and global body thermal response. The proposed numerical experiments show that the age‐related changes in arterial convection do not significantly affect the tissue temperature distribution. Results also highlight age‐related effects on the sweating mechanism, which lead to a significant reduction in heat dissipation and a subsequent rise in skin and core temperatures.

show abstract

A high‐order local time stepping finite volume solver for one‐dimensional blood flow simulations: application to the ADAN model

Cited by 38 publications

References 65 publications

Blood pressure gradients in cerebral arteries: a clue to pathogenesis of cerebral small vessel disease

Blood pressure gradients in cerebral arteries: a clue to pathogenesis of cerebral small vessel disease

Assessment of reduced‐order unscented Kalman filter for parameter identification in 1‐dimensional blood flow models using experimental data

Influence of ageing on human body blood flow and heat transfer: A detailed computational modelling study

Contact Info

Product

Resources

About