You are viewing the site in preview mode

Skip to main content

Table 4 Model variables and parameters

From: Design and engineering of a transmissible antiviral defense

Notation Description Values
Variables   
V Density of vaccine (free particles)  
M Density of helper virus (free particles)  
L Density of lethal virus (free particles)  
H u Density of uninfected cells  
H VS Density of cells infected with vaccine but still sensitive to lethal virus  
H VR Density of cells infected with vaccine and resistant to lethal virus  
H M Density of cells infected with helper  
H VMS Density of cells infected with vaccine and helper but still sensitive to lethal virus  
H VMR Density of cells infected with vaccine and helper and resistant to lethal virus  
Functions   
G Density-adjusted growth factor for all cells [ =1−(H u +H M +H VS +H VR +H VMS +H VMR )/C]  
Parameters   
k V Adsorption rate of vaccine to uninfected cells (mL/min) 5×10−9
k M Adsorption rate of helper virus to all cells that it infects (mL/min) 5×10−9
k L Adsorption rate of lethal virus to all cells that it infects cells (mL/min) 5×10−10
r u Intrinsic growth rate of uninfected cells (/min) 0.033
r V Intrinsic growth rate of vaccine-infected cells (/min) 0.033
r M Intrinsic growth rate of helper-infected cells (/min) 0.03
r VM Intrinsic growth rate of cells infected with vaccine and helper (/min) 0.025
c Rate of conversion to T5 resistance by vaccine-infected cells (/min) 0.1, 0.001
b M Rate at which helper-infected cells produce helper (/min) 0.5
b VM Rate at which vaccine-infected, helper-infected cells produce vaccine (/min) 0.7
b MV Rate at which vaccine-infected, helper-infected cells produce helper (/min) 0.006
b L Burst size of a cell infected with lethal virus 200
τ Time after infection that a cell infected with the lethal virus dies (min) 30
C Carrying capacity of environment 1×109
  1. Values of b V , b VM , and b MV and r M and r VM , are for helper M13KO7 and are per minute; these and corresponding values for wild-type M13 are given per hour in Table 2. The value of c=0.001 is in reasonable agreement with the data; the value of c=0.1 is used to show the possible benefit of engineering this parameter value