Symbol

Variables, parameters, and constants

Values

 
  M
 
  A
 
  N
 
  E
 
  I

                               Dependent variables
 
   Initial population size of H. pylori living in the mucus
 
   Initial size of H. pylori adherent population
 
   Initial concentration of nutrients
 
   Initial concentration of effectors
 
   Initial host response level

 
 
10¹ mm^-3
 
0.0 mm^-3
 
10^-5 mm^-3
 
10¹ mm^-3
 
0.0 unit

 
  m_M
 
  m_A
 
  g_M
 
  g_A
 
  r
  _
  g_M
  _
  g_A
 
  a
 
  d
 
  a
 
  K
 
  c
 
  b
 
  t
 
  h
 
  k₁
 
  k₂
 
  k₃
 
  b

                             Parameters and constants
 
   Rate H. pylori is lost due to shedding of mucus layer  
 
   Rate H. pylori is lost due to sloughing of epithelial cells  
 
   Proportionate amount of nutrient to M 
 
   Proportionate amount of nutrient to A 
 
   Average growth rate of H. pylori population 
 
   Growth rate of M population = r · g_M  
 
   Growth rate of A population = r · g_A  
 
   Rate (proportion) constant for migration of M to A 
 
   Migration rate of A to M 
 
   Growth yield constant between N and H. pylori (scalar)
 
   Carrying capacity of the A population 
 
   Maximal production of effectors by H. pylori 
 
   Amount of nutrients produced proportional to effectors 
 
   Monitors presence of nutrient 
 
   Rate effectors are depleted by epithelial cell interaction 
 
   Growth rate of host response  
 
   Capacity of host response (maximal host response level)  
 
   Proportion of M(t) population affecting I(t) 
 
   Percentage host response effects nutrient release (scalar)

 
 
0.85 d^-1 
 
0.33 d^-1 
 
0.93 
 
0.07 
 
16.66 d^-1
 
15.5 d^-1 
 
1.2 d^-1 
 
0.001 d^-1
 
0.5 mm^-3 d^-1
 
1.6
 
2100 mm^-3
 
1.007 d^-1
 
0.1 mm^-3
 
50 mm^-3 d^-1
 
0.1199 mm^-3 d^-1
 
5.0 ´ 10^-6 mm^-3 d^-1 
 
80 units of I(t) 
 
0.01 
 
100