Table 3. Parameter values of the model.

parameter	meaning	value
kP	pneumococcal population growth rate	7.90E-01	fitted
Pmax	maximal number of bacterials	7.50E+03	fitted
kPN	bacterial clearance by neutrophils	5.98E-04	fitted
kPM	bacterial clearance by macrophages	6.67E-03	fitted
kEU	epithelial cells growth rate	9.39E-02	fitted
kEUP	bacterial attachment to epithelial cells	4.33E-07	fitted
kEA	epitelial cells activation rate	6.79E-07	fitted
dE	epithelial cell degradation rate	1.52E-02	fitted
kCEA	cytokine production by epithelial cells	3.13E+03	fitted
kCMA	cytokine production by macrophages	1.09E-04	fitted
Nmax	maximal number of neutrophils	1.80E+06	set
kNC	neutrophil recruitment rate	1.33E+03	fitted
dNP	bacterial-induced neutrophil death rate	1.05E-09	fitted
kDNP	debris from bacterial-induced neutrophil death	4.26E-12	fitted
kDN	debris from neutrophil death	2.42E-08	fitted
kDEA	debris from epithelial cell death	3.81E-04	fitted
dD	debris degradation rate	4.62E-06	fitted
kMAD	removal of debris by macrophages	1.21E-11	fitted
kMAC	macrophage recruitment rate by IL-6	6.33E+02	fitted
dM	macrophage degradation rate	5.93E-01	fitted
n	maximum number of bacteria per M, N	1.00E+02	set
dC	IL-6 clearance rate	2.01E+02	fitted
dN	neutrophil degradation rate	2.48E+00	fitted
kM	constant	8.30E+01	fitted
PN	neutrophile production	5.18E-05	set
PC	cytokine production	7.83E+01	set
PM	macrophage production	2.12E+04	set
tPneu	inhalation time	1.67E-02	set
InfFactor	rate of bacterials colonizing after inhalation	1.00E-03	set
tABIO	injection time for antibioticum	1.00E-01	set
kAmp	antibiotic effect factor of Ampicillin	2.00E+03	fitted
kMox	antibiotic effect factor of Moxifloxacin	6.00E+02	fitted
$k_{\text{Amp}}^{\text{Delay}}$	delay of antibiotic effect	9.00E-02	fitted
$k_{\text{Mox}}^{\text{Delay}}$	delay of antibiotic effect	9.76E-02	fitted
dAmp	clearance of antibioticum	7.00E+00	fitted
dMox	clearance of antibioticum	7.00E+00	fitted