Mathematical models for cellular interactions in development II. Simple and branching filaments with two-sided inputs

by: Aristid Lindenmayer

Journal of Theoretical Biology, Vol. 18, No. 3. (March 1968), pp. 300-315.

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Abstract

Continuing the presentation of a theory of growth models for filamentous organisms, the treatment is extended to cases where inputs are received by each cell from both directions along the filament, and the change of state and the output of a cell is determined by its present state and the two inputs it receives. Further symbolism is introduced to take care of branching filaments as well. Two entirely different models are constructed for a particular branching organism, resembling one of the red algae. These models are compared with reference to the number of states employed, and the presence or absence of instructions for unequal divisions and for inductive relationships among the cells. The importance of a morphogenetic control theory concerning these relationships is emphasized.

@article{citeulike:599481, abstract = {Continuing the presentation of a theory of growth models for filamentous organisms, the treatment is extended to cases where inputs are received by each cell from both directions along the filament, and the change of state and the output of a cell is determined by its present state and the two inputs it receives. Further symbolism is introduced to take care of branching filaments as well. Two entirely different models are constructed for a particular branching organism, resembling one of the red algae. These models are compared with reference to the number of states employed, and the presence or absence of instructions for unequal divisions and for inductive relationships among the cells. The importance of a morphogenetic control theory concerning these relationships is emphasized.}, author = {Lindenmayer, Aristid }, citeulike-article-id = {599481}, doi = {10.1016/0022-5193(68)90080-5}, journal = {Journal of Theoretical Biology}, keywords = {indirect}, month = {March}, number = {3}, pages = {300--315}, posted-at = {2008-07-23 12:47:16}, priority = {2}, title = {Mathematical models for cellular interactions in development II. Simple and branching filaments with two-sided inputs}, url = {http://dx.doi.org/10.1016/0022-5193(68)90080-5}, volume = {18}, year = {1968} }

RIS record

TY - JOUR ID - citeulike:599481 L3 - citeulike-article-id:599481 TI - Mathematical models for cellular interactions in development II. Simple and branching filaments with two-sided inputs JF - Journal of Theoretical Biology VL - 18 IS - 3 SP - 300 EP - 315 N2 - Continuing the presentation of a theory of growth models for filamentous organisms, the treatment is extended to cases where inputs are received by each cell from both directions along the filament, and the change of state and the output of a cell is determined by its present state and the two inputs it receives. Further symbolism is introduced to take care of branching filaments as well. Two entirely different models are constructed for a particular branching organism, resembling one of the red algae. These models are compared with reference to the number of states employed, and the presence or absence of instructions for unequal divisions and for inductive relationships among the cells. The importance of a morphogenetic control theory concerning these relationships is emphasized. KW - indirect AU - Lindenmayer, Aristid PY - 1968/03// UR - http://dx.doi.org/10.1016/0022-5193(68)90080-5 ER -

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