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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