Dynamic modeling for shear stress induced ATP release from vascular endothelial cells

Qin, Kai; Chen, Xiang; Xu, Zhenshan; Cao, Liguo; Ge, Shuzhi Sam; Jiang, Zong Lai

doi:10.1007/s10237-007-0088-8

Cited by 29 publications

(30 citation statements)

References 26 publications

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“…The model for NO production in a parallel flow chamber was based on earlier work, previously published by our group (1). Two models for adenine nucleotide production were used in the current study: a model developed by John and Barakat (2) and a model developed by Qin et al (3). The latter model was developed by fitting experimental results obtained by Yamamoto et al (4).…”

Section: Comparing Model Simulation and Experimental Results To Studymentioning

confidence: 99%

Comparing Model Simulation and Experimental Results to Study the Dependence on Shear Stress of NO, ATP and ADP Production from Endothelial Cells

et al. 2016

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The concentrations of nitric oxide (NO) and adenine nucleotides (ATP, ADP) produced by cultured endothelial cells (ECs) in a parallel-plate flow chamber apparatus in response to changes in shear stress were compared to predictions generated by mathematical simulation. The model for NO production in a parallel flow chamber was based on earlier work, previously published by our group (1). Two models for adenine nucleotide production were used in the current study: a model developed by John and Barakat (2) and a model developed by Qin et al (3). The latter model was developed by fitting experimental results obtained by Yamamoto et al (4). The models were used to investigate the effect of changes in wall shear stress on production and transport of the three chemical species. In addition, experimental results using apyrase, which catalyses the hydrolysis of ATP to ADP and then to AMP, were compared to predictions of the simulations.*Comparisons of the mathematical simulations with the experimental observations indicate that a component of the EC's NO production is dependent upon the total nucleotide concentration at the EC surface. The inclusion of apyrase in both the experiments and in the mathematical model results in a decrease in the shear stress-dependentThe original version of this chapter was inadvertently published with an incorrect chapter pagination 518 and DOI 10.1007/978-3-319-32703-7_100. The page range and the DOI has been re-assigned. The correct page range is 524 and the DOI is 10.1007/978-3-319-32703-7_101. The erratum to this chapter is available at DOI: 10.1007/978-3-319-32703-7_260 production of NO. The greatest effect of apyrase on the rate of NO production was observed at the lower range of shear stress considered in our studies.The results of the simulation are useful in explaining experimental observations obtained using a parallel-plate chamber and expanding on the significant role of ATP autocrine stimulation in shear-dependent NO production by ECs.

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Section: Comparing Model Simulation and Experimental Results To Studymentioning

confidence: 99%

Comparing Model Simulation and Experimental Results to Study the Dependence on Shear Stress of NO, ATP and ADP Production from Endothelial Cells

et al. 2016

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“…Although dynamic modelling for shear stress induced ATP release was proposed recently by us [11] , the static ATP modelling is still used in the current investigation so as to compare the result of the new calcium dynamic model with that of the previous calcium dynamic models [6,9] . The static ATP model by John and Barakat [8] has been applied in previous investigations [9] ; however, the new static ATP release model proposed in this paper results in better fitting of experimental data reported in Ref.…”

Section: Discussionmentioning

confidence: 99%

“…Other parameters required in calculations are from Refs. [8,11], they are also listed in Table 1. For the purpose of comparison between the existing models and the new static ATP model, we also fit the experimental data using linear and nonlinear static ATP models in Ref.…”

Section: Static Models For Shear Stress Induced Atp Releasementioning

confidence: 98%

A mathematical model for ATP-mediated calcium dynamics in vascular endothelial cells induced by fluid shear stress

Chen

Cao

et al. 2008

Appl. Math. Mech.-Engl. Ed.

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In consideration of the mechanism for shear-stress-induced Ca 2+ influx via ATP(adenosine triphosphate)-gated ion channel P2X4 in vascular endothelial cells, a modified model is proposed to describe the shear-stress-induced Ca 2+ influx. It is affected both by the Ca 2+ gradient across the cell membrane and extracellular ATP concentration on the cell surface. Meanwhile, a new static ATP release model is constructed by using published experimental data. Combining the modified intracellular calcium dynamics model with the new ATP release model, we establish a nonlinear Ca 2+ dynamic system in vascular endothelial cells. The ATP-mediated calcium response in vascular endothelial cells subjected to shear stresses is analyzed by solving the governing equations of the integrated dynamic system. Numerical results show that the shear-stress-induced calcium response predicted by the proposed model is more consistent with the experimental observations than that predicted by existing models.

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“…(20), (31), (32), the convection and diffusion equation (4) and the ordinary differential equations (19), (22) and (23) can be solved numerically. The computer code developed for partial differential equation (4) was based on a twostage corrected Euler formulation with a central difference approximation in y direction and an upwind scheme in x direction, which is similar to those used in the literature (John and Barakat 2001;Qin et al 2008). The well-known RungeKutta method (Stoer and Bulirsch 1993) was used for the computation of the ordinary differential equations (19), (22) and (23).…”

Section: Assumptionmentioning

confidence: 99%

Dynamic modeling for flow-activated chloride-selective membrane current in vascular endothelial cells

Qin

Chen

Cao

2010

Biomech Model Mechanobiol

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In this paper, a dynamic model is proposed to quantify the relationship between fluid flow and Cl(-)-selective membrane current in vascular endothelial cells (VECs). It is assumed that the external shear stress would first induce channel deformation in VECs. This deformation could activate the Cl(-) channels on the membrane, thus allowing Cl(-) transport across the membrane. A modified Hodgkin-Huxley model is embedded into our dynamic system to describe the electrophysiological properties of the membrane, such as the Cl(-)-selective membrane current (I), voltage (V) and conductance. Three flow patterns, i. e., steady flow, oscillatory flow, and pulsatile flow, are applied in our simulation studies. When the extracellular Cl(-) concentration is constant, the I-V characteristics predicted by our dynamic model shows strong consistency with the experimental observations. It is also interesting to note that the Cl(-) currents under different flow patterns show some differences, indicating that VECs distinguish among and respond differently to different types of flows. When the extracellular Cl(-) concentration keeps constant or varies slowly with time (i.e. oscillates at 0.02 Hz), the convection and diffusion of Cl(-) in extracellular space can be ignored and the Cl(-) current is well captured by the modified Hodgkin-Huxley model alone. However, when the extracellular Cl(-) varies fast (i.e., oscillates at 0.2 Hz), the convection and diffusion effect should be considered because the Cl(-) current dynamics is different from the case where the convection-diffusion effect is simply ignored. The proposed dynamic model along with the simulation results could not only provide more insights into the flow-regulated electrophysiological behavior of the cell membrane but also help to reveal new findings in the electrophysiological experimental investigations of VECs in response to dynamic flow and biochemical stimuli.

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Dynamic modeling for shear stress induced ATP release from vascular endothelial cells

Cited by 29 publications

References 26 publications

Comparing Model Simulation and Experimental Results to Study the Dependence on Shear Stress of NO, ATP and ADP Production from Endothelial Cells

Comparing Model Simulation and Experimental Results to Study the Dependence on Shear Stress of NO, ATP and ADP Production from Endothelial Cells

A mathematical model for ATP-mediated calcium dynamics in vascular endothelial cells induced by fluid shear stress

Dynamic modeling for flow-activated chloride-selective membrane current in vascular endothelial cells

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