Mathematical framework for human SLE Nephritis: disease dynamics and urine biomarkers

Table 1 Initial conditions and parameter estimates that correspond to the best fit of the model to the data.

	Patient 416	Patient 444	Patient 448	Patient 491	Units
I ₀	0.1	0.1	0.1	0.1	I-units
P ₀	0.4	0.5	0.58	0.5	P-units
D ₀	1.7	3.59	0.85	0.38	D-units
A ₀	0.1	0.1	0.1	0.1	A-units
s _i	0.001-0.005	0.5-6	0.02-4.5	0.1-0.5	I-units day^-1
s _id	0.002-0.015	0.5-2	0.02-3.8	0.1-0.6	I-units day^-1
k _id	1	1	1	1	D-units
k _ip	0.025	0.015	0.01	0.003	P-units^-1 day^-1
k _pi	0.13	0.01	0.006	0.05	P-units C-units^-1 day^-1
k _pp	0.02	0.015	0.02	0.12	day^-1
k _pd	0.001	0.001	0.001	0.01	P-units D-units^-1 day^-1
μ _p	0.06	0.06	0.13	0.33	day^-1
k _dip	0.025	0.015	0.01	0.003	P-units^-1 day^-1
k _dp	0.27	0.01	0.03	0.015	D-units P-units^-1 day^-1
μ _d	0.04	0.015	0.03	0.035	day^-1
s _a	0.05-0.3	2-7	0.4-10	1-4	A-units day^-1
k _ap	0.022	0.006	0.035	0.001	A-units P-units^-1 day^-1
k _ad	0.22	0.06	0.35	0.01	A-units D-units^-1 day^-1
μ _a	2.2	2.2	2.2	2.2	day^-1
A _inf	0.45	0.45	0.45	0.45	A-units

For each patient, parameter estimates are given along with the initial conditions for the best fits of the P and D model solutions to the serial measurements of uMCP-1 and uP:C, respectively. Detailed information on parameter estimates for s_i, s_id, and s_ais included in Table 2.

ISSN: 1742-4682