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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