Table 7. Value or expression and description of reaction terms and parameters in current paper.

Terms	Value or expression	units	Description
kapa		(s−1)	Platelets activation due to agonists; tct is the characteristic time, which can be used for adjusting the activation rate, and here we choose tct = 1s as provided Sorensen13,14; implies the reaction cannot be faster than platelets physical activation procedure and 99% platelets will be activated during the activation procedure if the agonists or shear stress is large enough tact is the characteristic time; tact is suggested to range from 0.1 s to 0.5 s considering the results by Frojmovic et al.69 and Richardson70.
Ω		(N/A)	aj refers to the concentration of ADP, TxA2 and Thrombin. Value of wj and aj,crit see Table 8
kspa		(s−1)	Platelet activation due to shear stress, τ. Expression tct,spa = 4.0 × 106 τ−2.3 was provided by Goodman21 and Hellums71.
krpd		(s−1)	Unactivated platelets–deposited activated platelets ([RP]-[APd]), deposition rate. f refers to the face of a mesh cell and is the unit normal to the face. Details about how this term is calculated are provided in Supplemental Appendix.
kra	3.0 × 10−6	(m s−1)	Constant related to krpd13,14.
kapd		(s−1)	Activated platelets-deposited activated platelets ([AP]-[APd]) deposition rate. Details about how this term is calculated are provided in Supplemental Appendix.
kaa	3.0 × 10−5	(m s−1)	Constant related to kapd13,14.
femb		s−1	Platelet embolization due to shear stress; Expression exp(−0.0095τ) was suggested by Goodman21. DiaPLT = 2.78 × 10−6 m is the hydraulic diameter of platelets.
kemb,f		s−1
τemb	30	dyne cm−2	Platelet shear embolization related constant21.
fembb		s−1	Platelet embolization in boundary due to shear stress.
τembb	To be determined, dends on bio-material.	dyne cm−2	Patelet shear embolization related constant.
PLTmax		PLT m−3	The maximum concentration of platelets in space. PLTs,max = 7 × 1010 PLTm−2 is the total capacity of the surface for platelets; DiaPLT = 2.78 × 10−6 m.
λj	2.4 × 10−8	mol PLT m−3	The amount of agonist j released per platelet.
θ	1.0	(N/A)	Platelets activation by contact.
k1,j		(s−1)	The inhibition rate constant of agonist.
spi		mol PLT−3 s	The rate constant of synthesis of an agonist.
ε	9.11 × 10−3	mol U−1	Unit conversion. From NIH units to SI units.
ϕat	3.69 × 10−15	m3 nmol−1 PLT−1 Us−1	Thrombin generation rate on the surface of activated platelets.
ϕrt	6.5 × 10−16	m3 nmol−1 PLT−1 Us−1	Thrombin generation rate on the surface of unactivated platelets.
Γ		(s−1)	Griffith’s template model for the kinetics of the heparin-catalyzed inactivation of thrombin by ATIII.
k1,T	13.333	(s−1)	A first-order rate constant.
[H]	0.1 × 106	nmol m−3	Heparin concentration, assuming specific activity of 300 U mg−1 and. molecular weight of 16 kDa14,72.
α	1.0	(N/A)	A factor to simulate a change in affinity of heparin for ATIII when it is bound to thrombin or for thrombin when it is bound to ATIII.
KAT	0.1 × 106	nmol m−3	The dissociation constant for heparin/ATIII.
KT	3.50 × 104	nmol m−3	The dissociation constant for heparin/thrombin.
S		(N/A)	Pntage of the wall (boundary) not been occupied by deposited platelets.
krpdb	To be determined, depends on bio-material.	(m s−1)	Unactivated platelet-boundary(wall) deposition rate.
kapdb	To be determined, depends on bio-material.	(m s−1)	Activated platelet-boundary(wall) deposition rate.
fstb	0.0	(s−1)	Deposited activated platelet stabilization rate.
ϕ		(N/A)	Volume fraction of deposited platelets.