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Table 1 Variable numbers

From: Cellular automaton-based model for radiation-induced bystander effects

Variable number Name
i Horizontal index of grid
j Vertical index of grid
t Time
K i,j (t) Number of radiation tracks
R i,j (t) Absorbed dose
K P i,j (K n) Probability according to a Poisson distribution when K i,j (t) is K n
(k 1,l 1) Positions of four nearest-neighbor grids surrounding grids (i,j): i.e., one of (i+1,j), (i−1,j), (i,j+1), and (i,j−1)
(k 2,l 2) Positions of four skew nearest-neighbor grids surrounding grid (i,j): that is, one of (i+1,j+1), (i−1,j+1), (i+1,j+1), and (i−1,j−1)
M w k,l Diffusion-direction constant of virtual signal through the MDP
G w k,l Diffusion-direction constant of virtual signal through the GJP
M i,j (t) Quantity of the virtual signal through the MDP
G i,j (t) Quantity of the virtual signal through the GJP
Z i,j (t) The number of DSBs
R Z i,j (t) Number of DSBs induced by radiation
M Z i,j (t) Number of DSBs induced by the virtual signal through the MDP
G Z i,j (t) Number of DSBs induced by the virtual signal through the GJP
B Z i,j (t) Number of DSBs endogenously induced by background factors
r Z i,j (t) Number of repaired DSBs
ZR P i,j (ZR n) Probability according to a Poisson distribution when M Z i,j (t) is ZR n
ZM P i,j (ZM n) Probability according to a Poisson distribution when M Z i,j (t) is ZM n
ZG P i,j (ZG n) Probability according to a Poisson distribution when G Z i,j (t) is ZG n
ZB P i,j (ZB n) Probability according to a Poisson distribution when B Z i,j (t) is ZB n
S i,j (t) State of cell grid, such as phase of the cell cycle or cell death
  1. DSB: double-strand break; GJP: gap junctional pathway; MDP: medium-mediated pathway