Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs

Abstract Introduction In this study, magnetic resonance imaging data was used to (1) model IVD‐specific gradients of glucose, oxygen, lactate, and pH; and (2) investigate possible effects of covariate factors (i.e., disc geometry, and mean apparent diffusion coefficient values) on the IVD’s microenv...

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Main Authors: Ward Shalash, Sonia R. Ahrens, Liudmila A. Bardonova, Vadim A. Byvaltsev, Morgan B. Giers
Format: Article
Language:English
Published: Wiley 2021-12-01
Series:JOR Spine
Subjects:
Online Access:https://doi.org/10.1002/jsp2.1179
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author Ward Shalash
Sonia R. Ahrens
Liudmila A. Bardonova
Vadim A. Byvaltsev
Morgan B. Giers
author_facet Ward Shalash
Sonia R. Ahrens
Liudmila A. Bardonova
Vadim A. Byvaltsev
Morgan B. Giers
author_sort Ward Shalash
collection DOAJ
description Abstract Introduction In this study, magnetic resonance imaging data was used to (1) model IVD‐specific gradients of glucose, oxygen, lactate, and pH; and (2) investigate possible effects of covariate factors (i.e., disc geometry, and mean apparent diffusion coefficient values) on the IVD’s microenvironment. Mathematical modeling of the patient’s specific IVD microenvironment could be important when selecting patients for stem cell therapy due to the increased nutrient demand created by that treatment. Materials and Methods Disc geometry and water diffusion coefficients were extracted from MRIs of 37 patients using sagittal T1‐weighted images, T2‐weighted images, and ADC Maps. A 2‐D steady state finite element mathematical model was developed in COMSOL Multiphysics® 5.4 to compute concentration maps of glucose, oxygen, lactate and pH. Results Concentration of nutrients (i.e., glucose, and oxygen) dropped with increasing distance from the cartilaginous endplates (CEP), whereas acidity levels increased. Most discs experienced poor nutrient levels along with high acidity values in the inner annulus fibrosus (AF). The disc’s physiological microenvironment became more deficient as degeneration progressed. For example, minimum glucose concentration in grade 4 dropped by 31.1% compared to grade 3 (p < 0.0001). The model further suggested a strong effect of the following parameters: disc size, AF and CEP diffusivities, metabolic reactions, and cell density on solute concentrations in the disc (p < 0.05). Conclusion The significance of this work implies that the individual morphology and physiological conditions of each disc, even among discs of the same Pfirrmann grade, should be evaluated when modeling IVD solute concentrations.
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spelling doaj.art-31aa8477c2a4452cb20acc90c83dc7e82022-12-21T23:27:08ZengWileyJOR Spine2572-11432021-12-0144n/an/a10.1002/jsp2.1179Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discsWard Shalash0Sonia R. Ahrens1Liudmila A. Bardonova2Vadim A. Byvaltsev3Morgan B. Giers4School of Chemical, Biological and Environmental Engineering Oregon State University Corvallis Oregon USASchool of Chemical, Biological and Environmental Engineering Oregon State University Corvallis Oregon USASchool of Chemical, Biological and Environmental Engineering Oregon State University Corvallis Oregon USAIrkutsk State Medical University Irkutsk RussiaSchool of Chemical, Biological and Environmental Engineering Oregon State University Corvallis Oregon USAAbstract Introduction In this study, magnetic resonance imaging data was used to (1) model IVD‐specific gradients of glucose, oxygen, lactate, and pH; and (2) investigate possible effects of covariate factors (i.e., disc geometry, and mean apparent diffusion coefficient values) on the IVD’s microenvironment. Mathematical modeling of the patient’s specific IVD microenvironment could be important when selecting patients for stem cell therapy due to the increased nutrient demand created by that treatment. Materials and Methods Disc geometry and water diffusion coefficients were extracted from MRIs of 37 patients using sagittal T1‐weighted images, T2‐weighted images, and ADC Maps. A 2‐D steady state finite element mathematical model was developed in COMSOL Multiphysics® 5.4 to compute concentration maps of glucose, oxygen, lactate and pH. Results Concentration of nutrients (i.e., glucose, and oxygen) dropped with increasing distance from the cartilaginous endplates (CEP), whereas acidity levels increased. Most discs experienced poor nutrient levels along with high acidity values in the inner annulus fibrosus (AF). The disc’s physiological microenvironment became more deficient as degeneration progressed. For example, minimum glucose concentration in grade 4 dropped by 31.1% compared to grade 3 (p < 0.0001). The model further suggested a strong effect of the following parameters: disc size, AF and CEP diffusivities, metabolic reactions, and cell density on solute concentrations in the disc (p < 0.05). Conclusion The significance of this work implies that the individual morphology and physiological conditions of each disc, even among discs of the same Pfirrmann grade, should be evaluated when modeling IVD solute concentrations.https://doi.org/10.1002/jsp2.1179finite element modelingintervertebral discmass transportmathematical modelmetabolismnutrient
spellingShingle Ward Shalash
Sonia R. Ahrens
Liudmila A. Bardonova
Vadim A. Byvaltsev
Morgan B. Giers
Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
JOR Spine
finite element modeling
intervertebral disc
mass transport
mathematical model
metabolism
nutrient
title Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
title_full Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
title_fullStr Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
title_full_unstemmed Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
title_short Patient‐specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
title_sort patient specific apparent diffusion maps used to model nutrient availability in degenerated intervertebral discs
topic finite element modeling
intervertebral disc
mass transport
mathematical model
metabolism
nutrient
url https://doi.org/10.1002/jsp2.1179
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AT vadimabyvaltsev patientspecificapparentdiffusionmapsusedtomodelnutrientavailabilityindegeneratedintervertebraldiscs
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