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Table 1 ISEA CELL axioms and consequences of dysregulated CELL actions.

From: Computational investigation of epithelial cell dynamic phenotype in vitro

Axiom

Precondition

Action

Dysregulated action

Observed morphological changes

1

CELLS only

DIE

Do nothing

None (p > 0); unchecked growth (p = 0)

2

LUMINAL SPACE only

DIE

Do nothing

None (p ≥ 0)

3

MATRIX only

DIVIDE non-directionally

Do nothing

None (p ≥ 0)

4

1 CELL and LUMINAL SPACES; no MATRIX

Produce and deposit MATRIX

Do nothing

None (p ≥ 0)

5

≥ 2 CELLS and LUMINAL SPACE; no MATRIX

DIE

Do nothing

Increased CELL population; nested CELL CLUSTERS in CYST LUMEN (p < 1)

6

≥ 1 CELL and MATRIX; no LUMINAL SPACE

DIVIDE directionally

DIVIDE in a random direction

Increased CELL population; nested CELL CLUSTERS in CYST LUMEN (p < 1)

7

MATRIX and ≥ 2 LUMINAL SPACES; no CELLS

DIVIDE directionally

DIVIDE in a random direction

None (p ≥ 0)

8

CELLS, MATRIX, and ≥ 2 adjacent LUMINAL SPACES

DIVIDE directionally

N/A

N/A

9

2 CELLS, MATRIX, and LUMINAL SPACE; POLARIZING condition*

POLARIZE

N/A

N/A

10

DEPOLARIZING condition

DEPOLARIZE

N/A

N/A

11

All other configurations

Do nothing

N/A

N/A

12

POLARIZING condition; 1 MATRIX

Move and replace the neighboring MATRIX

Do nothing

Frequently irregular, nonconvex CYST shape (p < 1)

  1. Each axiom's precondition takes into consideration the six objects adjacent to the decision-making CELL. In dysregulated state, the normal CELL action applies with probability p; the dysregulated CELL action applies with probability 1 - p. Exploration of Axioms 8–11 was beyond the scope of this study. Axiom 12 is used only by ISEA2.
  2. * Two CELL neighbors separate MATRIX on one side from LUMINAL SPACE on the other side. A POLARIZED CELL has noncontiguous MATRIX neighbors.