Table 1. Values and reference of parameters in the model.

Parameter (unit)	Description	Dimensional			Reference
		Normal	I/R	I/R with hypoxia- preconditioning
SB (0) (pg/mL)a	Initial SDF-1 in blood	48	–	–	Karp & Teo (2009) and measured
aB (pg/mL)b	Amplitude of SDF-1 concentration change	N/A	7. 94 × 104	–	Estimated
bB (h−1)	SDF-1 decay rate	N/A	0.11	–	Estimated
cB (h−1)	Control factor of SDF-1 kinetics	N/A	0.001	–	Estimated
η1	Association coefficient	N/A	0.30	–	Estimated
η2	Association coefficient	N/A	1.73	–	Estimated
η3	Association coefficient	N/A	1.00	–	Estimated
SL (0) (pg/mL)a	Initial SDF-1 in liver	278	–	–	Karp & Teo (2009) and measured
C1(cell/kg)a	Intercept for the distribution phase of MSCs	2.94 × 109 (5 × 105 dose)	–	–	Estimated
		8.82 × 109 (1.5 × 106 dose)	–	N/A
C2 (cell/kg)b	Intercept for the elimination phase of MSCs	1.12 × 105 (5 × 105 dose)	1. 31 × 105 (5 × 105 dose)	–	Estimated
		3.59 × 105 (1.5 × 106 dose)	3.38 × 105 (1.5 × 106 dose)	N/A
λ1 (h−1)a	Slope of the distribution phase of MSCs	17.52	–	–	Estimated
λ2 (h−1)b	Slope for the elimination phase of MSCs	0.10 (5 × 105 dose)	0.08 (5 × 105 dose)	–	Estimated
		0.07 (1.5 × 106 dose)	0.04 (1.5 × 106 dose)	N/A
α (h−1)a	MSC arrest rate associated with blood flow	0.64	0.71	0.72	Wang et al. (2016) and estimated
β (pgah)	MSC arrest rate associated with SDF-1/CXCR4 attraction	0.01	0.12	0.19	Estimated
γ (h−1)	MSC loss rate in organ	0.04	0.03	0.02	Wang et al. (2016) and estimated
K (cell/kg)	SDF-1/CXCR4 attraction capacity in organ	4. 63 × 106	5.29 × 106	2. 20 × 107	Estimated

Notes.

^aSame value for all organ and MSC conditions.

^bSame value for all MSC conditions.