Artery Research

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Volume 25, Issue Supplement 1, December 2019, Pages S110 - S110

P66 Mathematical Model of the Renal Microcirculation and Effects of Chronic Kidney Disease

Authors
Nikolaos Fountoulakis1, *, Karla Sanchez-Cazares2, Kim Parker2, Janaka Karalliedde3
1King’s College London
2Department of Bioengineering, Imperial College London
3Department of Vascular Biology and Inflammation, King’s College London
*Corresponding author. Email: nikolaos.fountoulakis@kcl.ac.uk
Corresponding Author
Nikolaos Fountoulakis
Available Online 17 February 2020.
DOI
10.2991/artres.k.191224.097How to use a DOI?
Abstract

Background: Diabetes is one of the leading causes of chronic kidney disease (CKD) worldwide. CKD is directly linked to increased morbidity and mortality. The role of vascular changes in diabetes and underlying mechanism of kidney disease is not well understood.

Methods: We present a mathematical model of the small arteries in the kidney incorporating anatomical and dynamic features. It consists of a symmetrical bifurcating treeself-similar in length, cross-sectional area and wave speed. Each generation is related to the previous one by the scaling factors e.g. ln + 1 = λln, this gives properties (e.g. surface area, resistance) for each generation by a priori knowledge of the renal artery. We assume the flow is one-dimensional and laminar. Vessel walls are treated as porousmedia to find the glomerulus transmural flux. Effects of compliance are introduced by a pressure-area relationship based on circumferential stress in thin vessel walls. The set of ordinary differential equations is solved numerically.

Results: The results are in accordance with physiological measurements and indicate that pressure in the vasculature is highly sensitive to changes in vessel geometry, which also affects the transmural flux in the glomerulus. Changes in the structure of the arterial wall (e.g. Young’s modulus) alter the dynamics of the flow with an increased effect in the micro-circulation.

Conclusion: This is a functional model describing the behaviour of the small vasculature in the kidney. The model is computationally inexpensive, can be used for analysis and tested with in vivo data in pathological conditions.

Copyright
© 2019 Association for Research into Arterial Structure and Physiology. Publishing services by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Artery Research
Volume-Issue
25 - Supplement 1
Pages
S110 - S110
Publication Date
2020/02/17
ISSN (Online)
1876-4401
ISSN (Print)
1872-9312
DOI
10.2991/artres.k.191224.097How to use a DOI?
Copyright
© 2019 Association for Research into Arterial Structure and Physiology. Publishing services by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Nikolaos Fountoulakis
AU  - Karla Sanchez-Cazares
AU  - Kim Parker
AU  - Janaka Karalliedde
PY  - 2020
DA  - 2020/02/17
TI  - P66 Mathematical Model of the Renal Microcirculation and Effects of Chronic Kidney Disease
JO  - Artery Research
SP  - S110
EP  - S110
VL  - 25
IS  - Supplement 1
SN  - 1876-4401
UR  - https://doi.org/10.2991/artres.k.191224.097
DO  - 10.2991/artres.k.191224.097
ID  - Fountoulakis2020
ER  -