Mathematical models for cellular interactions in development I. Filaments with one-sided inputs Export

@article{citeulike:599479, abstract = {A theory is proposed for the development of filamentous organisms, based on the assumptions that the filaments are composed of cells which undergo changes of state under inputs they receive from their neighbors, and the cells produce outputs as determined by their state and the input they receive. Cell division is accounted for by inserting two new cells in the filament to replace a cell of a specified state and input. Thus growing filaments are obtained which exhibit various developmental patterns, like constant apical pattern, non-dividing apical zone, and banded patterns. In this first part of this study the inputs are considered to pass only in one direction along the filament. Formal set-theoretical statement of the assumptions, and of some of the theorems derivable from them, is included.}, author = {Lindenmayer, Aristid}, citeulike-article-id = {599479}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0022-5193(68)90079-9}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6WMD-4F1J831-8T/2/f1714ccd055f55499c564e2c2b5490c8}, doi = {10.1016/0022-5193(68)90079-9}, journal = {Journal of Theoretical Biology}, keywords = {classic, l-system, representation, tissue}, month = {March}, number = {3}, pages = {280--299}, posted-at = {2008-08-08 10:52:06}, priority = {2}, title = {Mathematical models for cellular interactions in development I. Filaments with one-sided inputs}, url = {http://dx.doi.org/10.1016/0022-5193(68)90079-9}, volume = {18}, year = {1968} }

TY - JOUR ID - citeulike:599479 L3 - citeulike-article-id:599479 N2 - A theory is proposed for the development of filamentous organisms, based on the assumptions that the filaments are composed of cells which undergo changes of state under inputs they receive from their neighbors, and the cells produce outputs as determined by their state and the input they receive. Cell division is accounted for by inserting two new cells in the filament to replace a cell of a specified state and input. Thus growing filaments are obtained which exhibit various developmental patterns, like constant apical pattern, non-dividing apical zone, and banded patterns. In this first part of this study the inputs are considered to pass only in one direction along the filament. Formal set-theoretical statement of the assumptions, and of some of the theorems derivable from them, is included. IS - 3 JF - Journal of Theoretical Biology EP - 299 TI - Mathematical models for cellular interactions in development I. Filaments with one-sided inputs VL - 18 SP - 280 KW - classic KW - l-system KW - representation KW - tissue AU - Lindenmayer, Aristid PY - 1968/03// UR - http://dx.doi.org/10.1016/0022-5193(68)90079-9 ER -