Influence of cell-to-cell variability on spatial pattern formation

Greese, Bettina; Wester, Katja; Bensch, Robert; Ronneberger, Olaf; Timmer, Jens; Huulskamp, M.; Fleck, Christian

doi:10.1049/iet-syb.2011.0050

Cited by 11 publications

(43 citation statements)

References 55 publications

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“…Various modifications have been proposed to adapt Delaunay triangulations to specific biological systems, resulting in different neighborhood graphs (Jaromczyk and Toussaint, 1992; Raymond et al, 1993). Pairs of neighbors can be defined by the edges present in the modified triangulation, such that each trichome is assigned a set of (mostly six) neighbors (Figure 1A, right) (Greese et al, 2012). Similar definitions of neighbors on graphs have been used elsewhere (Shapiro et al, 1985; Tanemura et al, 1991; Raymond et al, 1993; Duyckaerts et al, 1994; Eglen and Willshaw, 2002).…”

Section: Quantitative Characterization Of Noisy Point Patternsmentioning

confidence: 99%

“…Similar definitions of neighbors on graphs have been used elsewhere (Shapiro et al, 1985; Tanemura et al, 1991; Raymond et al, 1993; Duyckaerts et al, 1994; Eglen and Willshaw, 2002). For trichomes, the neighborhood concept has been used to restrict commonly used tessellation-based methods to the local scale that is important for developmental patterning systems (Greese, 2011; Greese et al, 2012). …”

Section: Quantitative Characterization Of Noisy Point Patternsmentioning

confidence: 99%

“…The anisotropy is related to the ratio of the principal axes of the ellipse (red lines). Reproduced with permisson from Greese et al (2012) © The Institution of Engineering and Technology. (B) Construction of an autocorrelogram for a simple pattern containing three points.…”

Section: Quantitative Characterization Of Noisy Point Patternsmentioning

confidence: 99%

“…For each individual trichome, the distance to its neighbors, the angle between pairs of adjacent neighbors, and the anisotropy of the neighbors' distribution can be measured (Greese et al, 2012). The local anisotropy can be described using the eigenvalues of the inertia tensor (Goldstein et al, 2002).…”

Section: Quantitative Characterization Of Noisy Point Patternsmentioning

confidence: 99%

“…Stomata are an example of a biological realization of a planar point pattern (see Box 1) (Larkin et al, 1997; Torii, 2012). Another prominent example for such a pattern from the plant kingdom are epidermal hairs, called trichomes, for which the regularity of the patterning process has been studied (Greese et al, 2012). The spatial distribution of trichomes is regulated by a genetic network and involves cell-to-cell communication.…”

Section: Introductionmentioning

confidence: 99%

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Quantification of variability in trichome patterns

2014

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While pattern formation is studied in various areas of biology, little is known about the noise leading to variations between individual realizations of the pattern. One prominent example for de novo pattern formation in plants is the patterning of trichomes on Arabidopsis leaves, which involves genetic regulation and cell-to-cell communication. These processes are potentially variable due to, e.g., the abundance of cell components or environmental conditions. To elevate the understanding of regulatory processes underlying the pattern formation it is crucial to quantitatively analyze the variability in naturally occurring patterns. Here, we review recent approaches toward characterization of noise on trichome initiation. We present methods for the quantification of spatial patterns, which are the basis for data-driven mathematical modeling and enable the analysis of noise from different sources. Besides the insight gained on trichome formation, the examination of observed trichome patterns also shows that highly regulated biological processes can be substantially affected by variability.

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