Two Region BTEX Model describing serotonin uptake by lung tissue. From Jardine et al. 2013 paper based on model by Linehan et al, 1998.
Description
2 Region Axially Distributed Blood Tissue Exchange (BTEX) Model applied to analysis of serotonin uptake by lung tissue following injection into pulmonary artery. From article: - "The Uptake and Metabolism of Substrate...".by Linehan et al - In "Whole Organ Approaches to Cellular Metabolism", chp 17 - Edited by Bassingthwaighte, Goresky, Linehan, 1998 This two region BTEX model is used to compare and contrast with four region BTEX model in Jardine paper (in press). Data from Rickaby et al., 1981, 1984, and Malcorps et al. 1984. Three curve model used to fit physiological variables to three sets of data at three different concentrations simulataneously. Each separate curve has aaa, bbb, ccc, suffix on the model variable. - Example: CMpaaa(t,x): Conc curve one for mother in plasma. - CMpbbb(t,x): Conc curve two - CMpccc(t,x): Conc curve three - PSev: Passive conductance channel between ISF and Plasma. - PSxv: Concentration dependent transporter between Plasma and Extravascular region - Gxv: Extravascular consumption, can be set to zero. Multiple Indicator dilution model. 2 region model that includes serotonin tracer curves. Capillary heterogeneity is taken into account. - Based on Audi, "Heterogeneity of Capillary Transit Times", 1998 Constant infusion: - Model can accommadate constant infusion of Mother substrate into system. At time t.min the arteriol has a concentration of CMpaaa_init. When a bolus is injected then at x1.min = Cin + CMpaaa_init. Can have three different infusion rates, one for each curve. Assumption: There is no uptake of Mother in Arteriols. - Note: if just want system at a const Mother conc then modify the BCs so that: when (t=t.min) { CMvaa1 = 0; } becomes: when (t=t.min) { CMvaa1 = CMpaaa_init; } Competitve inhibitor on PSxv - Ki is the inhibitor constant (k_i/ki) , where k_i is the off rate of the reaction: ki E + I <-> EI k_i
Other models in Jardine 2013 paper:
Equations
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