Parsimonious modeling of skeletal muscle perfusion: Connecting the stretched exponential and fractional Fickian diffusion

Author(s):  
David A. Reiter ◽  
Fatemeh Adelnia ◽  
Donnie Cameron ◽  
Richard G. Spencer ◽  
Luigi Ferrucci

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1963
Author(s):  
Jingting Yao ◽  
Muhammad Ali Raza Anjum ◽  
Anshuman Swain ◽  
David A. Reiter

Impaired tissue perfusion underlies many chronic disease states and aging. Diffusion-weighted imaging (DWI) is a noninvasive MRI technique that has been widely used to characterize tissue perfusion. Parametric models based on DWI measurements can characterize microvascular perfusion modulated by functional and microstructural alterations in the skeletal muscle. The intravoxel incoherent motion (IVIM) model uses a biexponential form to quantify the incoherent motion of water molecules in the microvasculature at low b-values of DWI measurements. The fractional Fickian diffusion (FFD) model is a parsimonious representation of anomalous superdiffusion that uses the stretched exponential form and can be used to quantify the microvascular volume of skeletal muscle. Both models are established measures of perfusion based on DWI, and the prognostic value of model parameters for identifying pathophysiological processes has been studied. Although the mathematical properties of individual models have been previously reported, quantitative connections between IVIM and FFD models have not been examined. This work provides a mathematical framework for obtaining a direct, one-way transformation of the parameters of the stretched exponential model to those of the biexponential model. Numerical simulations are implemented, and the results corroborate analytical results. Additionally, analysis of in vivo DWI measurements in skeletal muscle using both biexponential and stretched exponential models is shown and compared with analytical and numerical models. These results demonstrate the difficulty of model selection based on goodness of fit to experimental data. This analysis provides a framework for better interpreting and harmonizing perfusion parameters from experimental results using these two different models.



2019 ◽  
Vol 123 ◽  
pp. 81-85 ◽  
Author(s):  
Tao Wang ◽  
Haobo Su ◽  
Wensheng Lou ◽  
Jianping Gu ◽  
Xu He ◽  
...  


2009 ◽  
Vol 64A (9) ◽  
pp. 968-974 ◽  
Author(s):  
D. W. Wray ◽  
S. K. Nishiyama ◽  
A. Monnet ◽  
C. Wary ◽  
S. Duteil ◽  
...  




1981 ◽  
Vol 241 (1) ◽  
pp. H85-H90 ◽  
Author(s):  
R. F. Bond ◽  
C. H. Bond ◽  
L. C. Peissner ◽  
E. S. Manning

This study was designed to evaluate 1) whether the initial compensatory skeletal muscle vascular constriction induced by hemorrhagic hypotension is primarily the result of increased adrenergic neural tone rather than circulating vasoconstrictor agents, and 2) whether the secondary skeletal muscle decompensatory vasodilation is caused by inhibitory action of prostaglandins on peripheral adrenergic nervous system. A constant-flow vascularly isolated double canine gracilis muscle preparation in which one muscle served as innervated control for the contralateral muscle was used. Dogs were subjected to standard stepwise hemorrhagic shock protocol. In series 1, perfusion pressures of control muscles were compared to denervated muscles with the result that innervated muscle perfusion pressures increased initially from 105 to 175 mmHg but subsequently fell significantly (P less than 0.05) to 147 mmHg. Only modest increases in perfusion pressures with no significant secondary fall were noted in denervated muscles. Series 2 compared innervated control perfusion pressures to pressures perfusing muscles pretreated with prostaglandin-synthesis inhibitor sodium meclofenamate (MCF). The MCF-treated muscle perfusion pressures rose to 260 mmHg where they remained without the secondary fall noted in control muscles. These data support the two hypotheses tested.



1999 ◽  
Vol 86 (3) ◽  
pp. 860-866 ◽  
Author(s):  
Jörg Hutter ◽  
Oliver Habler ◽  
Martin Kleen ◽  
Matthias Tiede ◽  
Armin Podtschaske ◽  
...  

Acute normovolemic hemodilution (ANH) is efficient in reducing allogenic blood transfusion needs during elective surgery. Tissue oxygenation is maintained by increased cardiac output and oxygen extraction and, presumably, a more homogeneous tissue perfusion. The aim of this study was to investigate blood flow distribution and oxygenation of skeletal muscle. ANH from hematocrit of 36 ± 3 to 20 ± 1% was performed in 22 splenectomized, anesthetized beagles (17 analyzed) ventilated with room air. Normovolemia was confirmed by measurement of blood volume. Distribution of perfusion within skeletal muscle was determined by using radioactive microspheres. Tissue oxygen partial pressure was assessed with a polarographic platinum surface electrode. Cardiac index (3.69 ± 0.79 vs. 4.79 ± 0.73 l ⋅ min−1 ⋅ m−2) and muscle perfusion (4.07 ± 0.44 vs. 5.18 ± 0.36 ml ⋅ 100 g−1 ⋅ min−1) were increased at hematocrit of 20%. Oxygen delivery to skeletal muscle was reduced to 74% of baseline values (0.64 ± 0.06 vs. 0.48 ± 0.03 ml O2 ⋅ 100 g−1 ⋅ min−1). Nevertheless, tissue [Formula: see text] was preserved (27.4 ± 1.3 vs. 29.9 ± 1.4 Torr). Heterogeneity of muscle perfusion (relative dispersion) was reduced after ANH (20.0 ± 2.2 vs. 13.9 ± 1.5%). We conclude that a more homogeneous distribution of perfusion is one mechanism for the preservation of tissue oxygenation after moderate ANH, despite reduced oxygen delivery.





2006 ◽  
Vol 100 (2) ◽  
pp. 465-473 ◽  
Author(s):  
Jefferson C. Frisbee

As obese Zucker rats (OZR) manifesting the metabolic syndrome exhibit enhanced vascular adrenergic constriction and potentially an enhanced adrenergic activity vs. lean Zucker rats (LZR), this study tested the hypothesis that OZR exhibit an improved tolerance to progressive hemorrhage. Preliminary experiments indicated that, corrected for body mass, total blood volume was reduced in OZR vs. LZR. Anesthetized LZR and OZR had a cremaster muscle prepared for in situ videomicroscopy and had renal, splanchnic, hindlimb, and skeletal muscle perfusion monitored with flow probes. Arterial pressure, arteriolar reactivity to norepinephrine, and tissue/organ perfusion were monitored after either infusion of phentolamine or successive withdrawals of 10% total blood volume. Phentolamine infusion indicated that regional adrenergic tone under control conditions differs substantially between LZR and OZR, whereas with hemorrhage OZR exhibit decompensation in arterial pressure before LZR. Renal, distal hindlimb, and skeletal muscle perfusion decreased more rapidly and to a greater extent in OZR vs. LZR after hemorrhage. In contrast, hemorrhage-induced reductions in splanchnic perfusion in OZR lagged behind those in LZR, although a similar maximum reduction was ultimately attained. With increasing hemorrhage, cremasteric arteriolar tone increased more in OZR than LZR, and this increase in active tone was entirely due to an elevated adrenergic contribution. Norepinephrine-induced arteriolar constriction was greater in OZR vs. LZR under control conditions and during hemorrhage, with arterioles from OZR demonstrating early closure vs. LZR. These results suggest that a combination of reduced blood volume and elevated peripheral adrenergic constriction contribute to impaired hemorrhage tolerance in OZR.



Diabetes ◽  
2000 ◽  
Vol 49 (5) ◽  
pp. 768-774 ◽  
Author(s):  
A. D. Baron ◽  
M. Tarshoby ◽  
G. Hook ◽  
E. N. Lazaridis ◽  
J. Cronin ◽  
...  


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