Table 1.
Parameter for the reference case
ParameterValueUnitsReference
n, Number of network vessels 400  Kaimovitz et al., 2005  
r, Number of network terminal vessels 79  Kaimovitz et al., 2005  
Cstr, Vessel tethering strut stiffness (Eq. C3) 2.0 N/mm3 
C1 (Eq. D5) 30.6 mm−1 Halpern et al., 1978  
C0 (Eq. D5) 4.85 kPa Halpern et al., 1978  
HD, Hematocrit 0.45  Pries et al., 1994  
η, Blood viscosity Diameter dependent  Pries et al., 1994  
L0, Length scale of metabolic decay, Eq. 6 1.0 mm Hald et al., 2012  
Ap, φp, Cp (Eq. 1) As in Table A2   Liao and Kuo, 1997  
ρm, φm, Cm (Eq. 2) As in Table A3   Liao and Kuo, 1997  
Fτmax, Kτ (Eq. 5) As in Table A4   Liao and Kuo, 1997  
qtarget 1.5 × 10−3 mm3/s Tillmanns et al., 1974  
P¯in 100 mmHg Algranati et al., 2010  
P¯out 41.7 mmHg Algranati et al., 2010  
ParameterValueUnitsReference
n, Number of network vessels 400  Kaimovitz et al., 2005  
r, Number of network terminal vessels 79  Kaimovitz et al., 2005  
Cstr, Vessel tethering strut stiffness (Eq. C3) 2.0 N/mm3 
C1 (Eq. D5) 30.6 mm−1 Halpern et al., 1978  
C0 (Eq. D5) 4.85 kPa Halpern et al., 1978  
HD, Hematocrit 0.45  Pries et al., 1994  
η, Blood viscosity Diameter dependent  Pries et al., 1994  
L0, Length scale of metabolic decay, Eq. 6 1.0 mm Hald et al., 2012  
Ap, φp, Cp (Eq. 1) As in Table A2   Liao and Kuo, 1997  
ρm, φm, Cm (Eq. 2) As in Table A3   Liao and Kuo, 1997  
Fτmax, Kτ (Eq. 5) As in Table A4   Liao and Kuo, 1997  
qtarget 1.5 × 10−3 mm3/s Tillmanns et al., 1974  
P¯in 100 mmHg Algranati et al., 2010  
P¯out 41.7 mmHg Algranati et al., 2010  

The asterisk indicates that the value of Cstr was selected such that the vessel dynamic stiffness (Eq. D6) yielded smooth variation of vessel compliance with their order and convergence in the solution for all three flow control mechanisms.

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