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. Author manuscript; available in PMC: 2014 Apr 7.
Published in final edited form as: J Theor Biol. 2012 Dec 7;322:17–32. doi: 10.1016/j.jtbi.2012.11.018

Table 3.

Parameters describing rates of growth and interaction

Parameter Value Units Description
kb 1.5 h−1 Decay rate of bacteria
kbg 0.9 h−1 Growth rate of bacteria (varies for different bacteria)
kbma 1.8 (ma-units)−1h−1 Rate of bacterial destruction by activated macrophages
kbna 1.8 (na-units)−1h−1 Rate of bacterial destruction by activated neutrophils
kc 1 h−1 Cytokine decay rate
kca 0.1 h−1 Anti-inflammatory cytokine decay rate
kcamad 48 ma-units/d-units Relative effectiveness of d and ma in producing ca
kcamana 0.25 ma-units/na-units Relative effectiveness of na and ma in producing ca
kcap 0 or 0.04 ca-units/h Production rate of ca by inflammatory cells
kcaQ 1 ma-units Constant controlling how quickly production of ca saturates
kcma 0.2 (ma-units)−1h−1 Rate at which macrophages produce cytokines
kcna 0.05 (na-units)−1h−1 Rate at which neutrophils produce cytokines
kd 0.02 h−1 Rate of decay of damage/DAMPs
kdc 0.35 (d-units)/h Rate of damage/DAMP production by cytokines
kecnab 0.25 na-units/b-units Relative effectiveness of b and na in killing ec
kecnac 0.5 na-units/c-units Relative effectiveness of c and na in killing ec
km 0.12 h−1 Resting macrophage decay rate
kma 0.05 h−1 Activated macrophage decay rate
kmb 0.1 (106 bacteria/cm3)−1h−1 Rate of macrophage activation by bacteria
kmc 0.076 (c-units)−1h−1 Rate of macrophage activation by inflammatory cytokines
kmd 0.02 (d-units)−1h−1 Rate of macrophage activation by DAMPs
kna 0.05 h−1 Activated neutrophil decay rate
knc 0.04 (c-units)−1h−1 Rate of neutrophil activation by inflammatory cytokines
knd 0.018 (d-units)−1h−1 Rate of neutrophil activation by DAMPs
kNO 2 h−1 Decay rate of nitric oxide
kNOma 1×105 (NO-units)h−1(ma-units)q1 Rate at which activated macrophages induce NO production
kNOna 1×105 (NO-units)h−1(na-units)q1 Rate at which activated neutrophils induce NO production
kp 0.25 h−1 Rate of proliferation of epithelial cells
kpp 0-0.25 h−1 Destruction rate of bacteria by peptides in breast-milk
kRca 1 Anti-inflammatory cytokine effect on damage/DAMP production
kZec 0.03 (ec-units)−1h−1 Rate of increase of ZO1 by epithelial cells
kZect 2 (ec-units)−1 Rate of change of ZO1 induced by ec growth or decay
kZN 0.75 (NO-units)−1h−1 Rate of destruction of tight junction protein, ZO1, by NO