. 2022 May 17;12(5):807. doi: 10.3390/jpm12050807

Table A1.

Full sensitivity report. This table contains the sensitivity value of $\int_{Ω} C d x$ to all the parameters used in the model. The rows are ordered in a decreasing fashion based on the absolute value of their sensitivity values.

Order	Notation	Sensitivity	Definition	Order	Notation	Sensitivity	Definition
1	$D_{C}$	2242.835	Diffusion coefficient of C	44	$δ_{T_{h}}$	− $2.87 \times 10^{- 5}$	Death rate of $T_{h}$
2	$D_{A}$	56.46447	Diffusion coefficient of A	45	$λ_{M T_{h}}$	$2.10 \times 10^{- 5}$	Activation rate of M by $T_{h}$
3	$δ_{C}$	−3.16066	Death rate of C	46	$A_{D_{N}}$	− $1.48 \times 10^{- 5}$	Independent production rate of $D_{N}$
4	$λ_{C}$	2.989047	Proliferation rate of C	47	$δ_{T_{N}}$	$1.41 \times 10^{- 5}$	Death rate of $T_{N}$
5	$α_{T_{C}}$	−0.31011	Influx rate of $T_{C}$	48	$λ_{T_{h} H}$	$1.03 \times 10^{- 5}$	Activation rate of $T_{h}$ by H
6	$D_{T_{C}}$	−0.2628	Diffusion coefficient of $T_{C}$	49	$λ_{D C}$	− $6.42 \times 10^{- 6}$	Activation rate of D by C
7	$λ_{C I L_{6}}$	0.138431	Proliferation rate of C by $I L_{6}$	50	$λ_{T_{h} I L_{12}}$	$6.27 \times 10^{- 6}$	Activation rate of $T_{h}$ by $I L_{12}$
8	$λ_{C A}$	0.107539	Proliferation rate of C by A	51	$A_{M_{N}}$	$3.50 \times 10^{- 6}$	Independent production rate of $M_{N}$
9	$δ_{C T_{C}}$	−0.06665	Inhibition rate of C by $T_{C}$	52	$λ_{T_{C} D}$	− $3.46 \times 10^{- 6}$	Activation rate of $T_{C}$ by D
10	$δ_{A}$	−0.03611	Death rate of A	53	$δ_{D_{N}}$	$3.26 \times 10^{- 6}$	Death rate of $D_{N}$
11	$λ_{A}$	0.03531	Proliferation rate of A	54	$λ_{I L_{10} D}$	$3.14 \times 10^{- 6}$	Production rate of $I L_{10}$ by D
12	$α_{M}$	0.025664	Influx rate of M	55	$δ_{T_{h} I L_{10}}$	− $1.71 \times 10^{- 6}$	Inhibition rate of $T_{h}$ by $I L_{10}$
13	$δ_{I L_{6}}$	−0.01152	Decay rate of $I L_{6}$	56	$δ_{T_{h} T_{r}}$	− $1.46 \times 10^{- 6}$	Inhibition rate of $T_{h}$ by $T_{r}$
14	$λ_{I L_{6} A}$	0.009239	Production rate of $I L_{6}$ by A	57	$λ_{D H}$	− $1.37 \times 10^{- 6}$	Activation rate of D by H
15	$λ_{I L_{6} M}$	0.007813	Production rate of $I L_{6}$ by M	58	$A_{0}$	$9.75 \times 10^{- 7}$	Carrying capacity of A
16	$α_{T_{h}}$	0.002154	Influx rate of $T_{h}$	59	$δ_{M_{N}}$	− $3.58 \times 10^{- 7}$	Death rate of $M_{N}$
17	$δ_{T_{C}}$	0.001508	Death rate of $T_{C}$	60	$λ_{I L_{12} M}$	− $3.55 \times 10^{- 7}$	Production rate of $I L_{12}$ by M
18	$α_{T_{r}}$	0.001441	Influx rate of $T_{r}$	61	$δ_{I L_{12}}$	$2.87 \times 10^{- 7}$	Decay rate of $I L_{12}$
19	$D_{D_{N}}$	−0.00094	Diffusion coefficient of $D_{N}$	62	$λ_{I L_{12} T_{h}}$	− $2.31 \times 10^{- 7}$	Production rate of $I L_{12}$ by $T_{h}$
20	$D_{N}$	−0.00094	Diffusion coefficient of N	63	$λ_{I L_{12} T_{C}}$	− $2.18 \times 10^{- 7}$	Production rate of $I L_{12}$ by $T_{C}$
21	$C_{0}$	0.000541	Carrying capacity of C	64	$D_{I L_{12}}$	$9.50 \times 106 - 8$	Diffusion coefficient of $I L_{12}$
22	$D_{T_{r}}$	−0.00044	Diffusion coefficient of $T_{r}$	65	$λ_{T_{h} D}$	$7.78 \times 10^{- 8}$	Activation rate of $T_{h}$ by D
23	$δ_{I L_{10}}$	−0.00039	Decay rate of $I L_{10}$	66	$λ_{T_{r} D}$	$6.93 \times 10^{- 8}$	Activation rate of $T_{r}$ by D
24	$λ_{I L_{10} C}$	0.000386	Production rate of $I L_{10}$ by C	67	$δ_{D}$	− $3.70 \times 10^{- 8}$	Death rate of D
25	$λ_{T_{C} I L_{12}}$	−0.00035	Activation rate of $T_{C}$ by $I L_{12}$	68	$δ_{H}$	− $1.49 \times 10^{- 8}$	Decay rate of H
26	$D_{M}$	−0.00034	Diffusion coefficient of M	69	$λ_{H M}$	$8.05 \times 10^{- 9}$	Production rate of H by M
27	$λ_{I L_{10} T_{r}}$	0.000319	Production rate of $I L_{10}$ by $T_{r}$	70	$λ_{H T_{C}}$	$5.35 \times 10^{- 9}$	Production rate of H by $T_{C}$
28	$δ_{M}$	−0.00029	Death rate of M	71	$λ_{H C}$	$5.00 \times 10^{- 9}$	Production rate of H by C
29	$λ_{I L_{10} M}$	0.00024	Production rate of $I L_{10}$ by M	72	$δ_{D C}$	$3.46 \times 10^{- 9}$	Activation rate of D by C
30	$λ_{I L_{10} T_{h}}$	0.00018	Production rate of $I L_{10}$ by $T_{h}$	73	$λ_{I L_{12} D}$	− $2.50 \times 10^{- 9}$	Production rate of $I L_{12}$ by D
31	$λ_{I L_{10} T_{C}}$	0.000153	Production rate of IL₁₀ by $T_{C}$	74	$λ_{H N}$	$4.23 \times 10^{- 10}$	Production rate of H by N
32	$D_{T_{h}}$	−0.00015	Diffusion coefficient of $T_{h}$	75	$λ_{H D}$	$1.96 \times 10^{- 10}$	Production rate of H by D
33	$D_{I L_{6}}$	0.000126	Diffusion coefficient of $I L_{6}$	76	$δ_{N}$	$1.14 \times 10^{- 11}$	Death rate of N
34	$A_{T_{N}}$	− $9.73 \times 10^{- 5}$	Independent production rate of $T_{N}$	77	$D_{H}$	$1.90 \times 10^{- 13}$	Diffusion coefficient of H
35	$α_{D_{N}}$	$9.34 \times 10^{- 5}$	Influx rate of $D_{N}$	78	$α_{N C}$	$8.36 \times 10^{- 15}$	C to N conversion fraction
36	$δ_{T_{C} T_{r}}$	$8.92 \times 10^{- 5}$	Inhibition rate of $T_{C}$ by $T_{r}$	79	$T_{C}^{*}$	− $3.56 \times 10^{- 16}$	$T_{C}$ influx source
37	$D_{D}$	$8.69 \times 10^{- 5}$	Diffusion coefficient of D	80	$M^{*}$	$3.44 \times 10^{- 17}$	M influx source
38	$δ_{T_{C} I L_{10}}$	$7.88 \times 10^{- 5}$	Inhibition rate of $T_{C}$ by $I L_{10}$	81	$T_{h}^{*}$	$2.87 \times 10^{- 18}$	$T_{h}$ influx source
39	$λ_{I L_{6} D}$	$7.41 \times 10^{- 5}$	Production rate of $I L_{6}$ by D	82	$T_{r}^{*}$	$2.47 \times 10^{- 18}$	$T_{r}$ influx source
40	$D_{I L_{10}}$	− $5.72 \times 10^{- 5}$	Diffusion coefficient of $I L_{10}$	83	$D_{N}^{*}$	− $8.55 \times 10^{- 20}$	$D_{N}$ influx source
41	$λ_{M I L_{10}}$	$5.35 \times 10^{- 5}$	Activation rate of M by $I L_{10}$
42	$δ_{T_{r}}$	− $4.66 \times 10^{- 5}$	Death rate of $T_{r}$
43	$λ_{M I L_{12}}$	$3.41 \times 10^{- 5}$	Activation rate of M by $I L_{12}$