Turing Pattern

Can morphodynamic feedback generate complex body shapes like that of a long and thin flatworm? Introduction During flatworm development and regeneration, morphogens like diffusible Wnt ligands self-organize concentration gradients that contribute to tissue morphogenesis, differentiation and the establishment of the body axes.

How to stop tissue growth at a specific size? Introduction The growth and regeneration of organisms into complex shapes remains largly an open question. This model page presents the reproduction of a theoretical study of Kaity et al.

The formation of a flat and thin leaf presents a developmentally challenging problem, requiring intricate regulation of adaxial–abaxial …

A diffusible small-RNA-based Turing system dynamically coordinates organ polarity. Introduction The formation of a flat and thin leaf presents a developmentally challenging problem, requiring intricate regulation of top-bottom (adaxial-abaxial) polarity.

This example model demonstrates how to obtain consistent results in physical units together with the freedom to choose arbitrary lattice and time discretizations. Introduction Often, one starts to build a model with a particular lattice size and time scaling.

Pattern formation is robust to noise. Introduction Morpheus can also simulate ODE and PDE models with noise. One example (in the GUI menu Examples → ODE → LateralSignaling.xml) with coupled noisy ODE systems is explained in M0004.