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Figure 4 | Theoretical Biology and Medical Modelling

Figure 4

From: Regular mosaic pattern development: A study of the interplay between lateral inhibition, apoptosis and differential adhesion

Figure 4

Lateral inhibition model. Comparison between the lateral inhibition models of Collier et al. [22] that employed hexagonal cells and the models used in this work with naturally shaped cells. In both models, P d (σ) (Delta) is driven to the opposite of P n (σ) (Notch) within each cell, while cell-cell communication across contacting membranes regulates P n (σ). The length of the common border between σ and ρ is lρ, σ, which is the count of all 8-connected lattice sites between and ρ, and σ, g ( x ) = 1 ( 1 + x 2 ) , f ( x ) = x 2 ( 1 + x 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaem4zaCMaeiikaGIaemiEaGNaeiykaKIaeyypa0ZaaSaaaeaacqaIXaqmaeaacqGGOaakcqaIXaqmcqGHRaWkcqWG4baEdaahaaWcbeqaaiabikdaYaaakiabcMcaPaaacqGGSaalcqWGMbGzcqGGOaakcqWG4baEcqGGPaqkcqGH9aqpdaWcaaqaaiabdIha4naaCaaaleqabaGaeGOmaidaaaGcbaGaeiikaGIaeGymaeJaey4kaSIaemiEaG3aaWbaaSqabeaacqaIYaGmaaGccqGGPaqkaaaaaa@47BF@ and n(σ) returns the set of cells that are direct neighbors of σ.

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