Mathematical Model of Innate and Adaptive Immunity of Sepsis: A Modeling and Simulation Study of Infectious Disease

Table 6

Definition of parameters and experimental values in full model with adaptive immunity.

Parameters	Description	Value	References
	The influx rate of CD4+ T cells to blood vessel	0.014	[52]
	CD4+ T cell carrying capacity in the blood vessel		[52]
	Degradation rate of CD4+ T cells	0.00083–0.001	[52]
	The influx rate of CD8+ T cells to blood vessel	0.0625	[52]
	CD8+ T cell carrying capacity in the blood vessel		[52]
	Degradation rate of CD8+ T cells	0.00079–0.001	[52]
	The influx rate of B cells to blood vessel	0.0122	[52]
	B cell carrying capacity in the blood vessel		[52]
	Degradation rate of B cells	0.00012–0.00016	[53, 54]
	The maximum production amount of antibody by B cells	0.00053	[49, 55, 56]
	Number of B cells at which the reaction rate is half of maximum production rate	10000	Estimated
	Degradation rate of antibody	0.0035–0.01	[57]
	Rate at which pathogens are killed by antibody	1	Estimated based on [49, 56, 57]
	Concentration of antibody which kills half of Salmonella	0.035	Estimated
	Rate at which pathogens are killed by CD4+ T cells	8	[47, 58, 59]
	Concentration of CD4+ T cells which kill half of Salmonella	0.0015	Estimated
	Rate at which binding Kupffer Cells are killed by CD8+ T cells	0.25	[59]
	Concentration of CD8+ T cells which kill half of binding antigen presenting cells	0.0015	Estimated
	Rate at which binding activated neutrophils are killed by CD8+ T cells	0.25	[59]
	Rate at which binding activated monocytes are killed by CD8+ T cells	0.25	[59]
	Rate at which CD4+ T cells bind to activated monocytes	4	[59]
	Rate at which CD8+ T cells bind to activated monocytes	4	[59]
	Activated monocyte concentration produces half occupation on T cells	0.0075	Estimated
	Rate at which B cells bind to T cells	1–10	Estimated
	B cell concentration produces half occupation on T cells	0.045	Estimated
	Rate at which binding CD4+ T cells are killed by activated monocytes	0.73–2	[60]
	Rate at which binding CD8+ T cells are killed by activated monocytes	0.73–2	[60]
	Concentration of activated monocytes which kill half of binding T cells	0.018	Estimated