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 |