GENTEX is a whole organ model of the vascular network providing intraorgan flow heterogeneity and accounts for substrate transmembrane transport, binding, and metabolism in erythrocytes, plasma, endothelial cells, interstitial space, and cardiomyocytes.

Description

  GENTEX is a GENeric Tissue EXchange model characterizing the flow and transformation of metabolites. 
  GENTEX is a whole organ model of the vascular network providing intraorgan flow heterogeneity and 
  accounts for substrate transmembrane transport, binding, and metabolism in erythrocytes, plasma, 
  endothelial cells, interstitial space, and cardiomyocytes. 

Detailed GENTEX documentation

Equations

• Flow velocities inside the capillary:


• In a large vessel, the blood flow can be partitioned between plasma (p) flow and red blood cell (rbc) flow. The flows are given by:
  
  Fp = Fblood*(1-hLV) and Frbc = Fblood*hLV
  
  and the corresponding volumes are given by:
  Vp = Vblood*(1-hLV) and Vrbc = Vblood*hLV,
  where hLV stands for the hematocrit in the large vessel.
  
  It is easily seen that the velocities of plasma and rbcs are the same in the large vessel. (Velocity=Flow*Length/Volume).
  
  It has been noted that hematocrit inside capillaries, hc, is different then the hematocrit inside the large vessel supplying them. Since the volumes of plasma and rbc in the capillaries depend on hc, the volumes are different in the capillaries than in the large vessel. Hence the ratio of velocities must be different.
  
  Using:
  Vpcap=Vblood*(1-hc) and Vrbccap=Vblood*hc,
  
  the ratio of velocities is given by:
  RatioVel=(Frbc*L/Vrbccap)/(Fp*L/Vpcap) = hLV*(1-hc)/( (1-hLV)*hc ).
  
  If the Ratio of velocities is known, the capillary plasma hematocrit is given by:
  hc = hLV/(hLV-RatioVel*HLV +RatioVel).
• Permeant Equations:

Initial Conditions:

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Boundary Conditions:

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• Extracellular Equations:

Initial Conditions:

Boundary Conditions:

• Vascular Equations: