Pattern Formation — Graph — sahil.science

Finding Auxin transport model for leaf venation

How can a graph-based model of auxin transport, with non-polar (undirected) membrane edges, still produce directional vein patterns in a leaf?
In what sense does the steady-state behavior of this discrete auxin transport model satisfy Murray's Law for branching transport networks?

Finding Modeling the emergence of polarity patterns for the intercellular transport of auxin in plants

Why can ordered, tissue-wide auxin transport patterns emerge without a pre-existing auxin concentration gradient?
What role does molecular noise play in helping cells establish coordinated PIN polarization across a tissue?

Finding Turing-like mechanism in a stochastic reaction-diffusion model recreates three dimensional vascular patterning of plant stems

How does coupling a Turing-like reaction-diffusion instability with longitudinal efflux of a regulatory molecule generate three-dimensional vascular bundle patterns in plant stems?