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Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Topology of the rat mesenteric vascular network. Arterioles, capillaries, and venules are colored red, yellow, and blue, respectively.
The main feeding arteriole and the main draining venule are indicated by red and blue arrows, respectively. Secondary boundaries
are indicated by small white directional arrows.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Flow diagrams of the strategies of applying phase separation and the Fahraeus–Lindqvist effect. Strategy I: The phase separation
effect is used in each simulation step. The viscosity is updated by the hematocrit derived by the phase separation effect and the
varying diameter in each simulation step. The simulation moves to the next step until the pressure and velocity are converged in the
inner iteration. Strategy II: The simulation begins with fixed discharge hematocrits. In each simulation step, the viscosity is updated
by the fixed hematocrit and varying diameter. The gray block demonstrates the strategy finally adopted in this study, which uses
fixed hematocrits calculated by a steady state model.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
PIP on the four exemplary arteriovenous pathways shown in Fig. 5 (mean ± standard deviation). The PIP decreases from the main
feeding arteriole to the postcapillary level and remains almost constant in the venular pathway.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Four exemplary flow pathways from the main feeding arteriole to the main draining venule. The selected segments for showing PIP
are indicated by A1–A4, C1, and V1–V4, respectively.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Distribution maps of PIP (pulsatility index of pressure, (a)) and PTTP (pulse transit time of pressure, (b)). (a) The main feeding
arteriole and the main draining venule are indicated by red and blue arrows, respectively. PI P decreases in the arteriolar tree and
remains constant in the venular portion. The white arrows indicate secondary input boundaries, which are far from the feeding
arteriole but exhibit high PIP values. They influence network regions limited to two to three generations of bifurcations. (b) PTT P
continuously increases from the main feeding arteriole to the venular portion.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Distribution of the mean pressure and flow velocity against vessel diameter in arterioles and venules. Shown in the figure are mean
values for the indicated diameter range with standard deviations.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
The pressure waveforms of the selected segments on the arteriovenous pathway “A”. The waveforms are substantially damped
from the main feeding arteriole to the capillary level and remain almost unchanged in the venular section.
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Normalized PIP on the exemplary pathway “A” with input heart rates of 75, 150, 225, and 300 bpm
Date of download: 8/1/2017
Copyright © ASME. All rights reserved.
From: A One-Dimensional Mathematical Model for Studying the Pulsatile Flow in Microvascular Networks
J Biomech Eng. 2013;136(1):011009-011009-11. doi:10.1115/1.4025879
Figure Legend:
Pulsatility damping on the arteriovenous pathway “A” under different settings for Young's modulus. E1: initial modulus setting.
EA2: 200% arteriolar modulus. EA0.5: 50% arteriolar modulus. EC2: 200% capillary modulus. EC0.5: 50% capillary modulus. EV2:
200% venular modulus. EV0.5: 50% venular modulus.