Table 1 Values of the model parameters.

From: Experimental and Theoretical Investigation of Multispecies Oral Biofilm Resistance to Chlorhexidine Treatment

hbn

Description

Value

Unit

Reference

c0,Hmax,d0,Qmax

Characteristic molecule concentration

8.24 × 10−3

kg/m3

28

c 2

Maximum growth rate for the susceptible

3 × 10−6

s −1

 

c 3

Maximum death rate for the susceptible

6.5 × 10−2

s −1

 

c 4

Maximum growth rate for the persister

3 × 10−7

s −1

 

c 12

Maximum death rate for the persister

6 × 10−4

s −1

 

c 5

Maximum EPS production rate

3.5 × 10−3

s −1

 

c7,c8

Maximum nutrient consumption or antimicrobial consumption rate

1.0 × 10−7

s −1

 

c A

QS molecule production rate

6 × 10−7

s −1

 

c q

Growth factor production rate

1.0 × 10−5

s −1

 

r a

Decaying rate of effective antibiotics

1.0 × 10−6

s −1

 

bsp,bps

Conversion rate between the persister and the susceptible

1.5 × 10−7

..

4

r bs

Natural death rate of susceptible bacteria

2.0 × 10−7

s −1

 

r dp

Dead bacteria recycling rate into EPS

2.2 × 10−6

s −1

 

D pr

Hinson constant

0.007

 

29

k 3

Monod constant

3.5 × 10−3

kg/m3

4

k2,k8

Monod constant

3.5 × 10−4

kg/m3

30

k 9

Monod constant

6.6 × 10−3

kg/m3

31

k 12

Monod constant

6.0 × 10−7

kg/m3

 

k Q

Monod constant

2.5 × 10−3

kg/m3

 

S max

Carrying capacity for the susceptible bacteria

0.08

  

P max

Carrying capacity for the persister bacteria

0.018

  

E max

Carrying capacity for EPS

0.15

  
  1. Some values of the model parameters or their orders of magnitude are adopted from the literature, whose sources are referenced. Most of the model parameters are obtained by fitting the model to the experiment results in26 and32.