How Do Aquatic Plants Direct Where Other Stalks Grow?

How do quasicrystals grow?

Using molecular simulations, we show that the aperiodic growth of quasicrystals is controlled by the ability of the growing quasicrystal nucleus to incorporate kinetically trapped atoms into the solid phase with minimal rearrangement. In the system under investigation, which forms a dodecagonal quasicrystal, we show that this process occurs through the assimilation of stable icosahedral cluster...

Cell growth: How to grow and where to grow

Root hairs provide a model system for studying tip growth in plants. The recent cloning of genes required for tip growth has shed new light on the link between ionic regulation, cell wall assembly and the cytoskeleton in cell growth.

Where Do We Grow From Here?

How straight do axons grow?

Detailed growth paths of embryonic frog and chick axons were measured as the axons elongated in dispersed cultures on acid-rinsed glass surfaces. Mathematical analyses demonstrate that, under these conditions, axons do not grow randomly but tend to grow straight. Growth cones appear to actively alternate sides--right and left from the straight line of growth--and the growth cone neck exhibits a...

How do random Fibonacci sequences grow?

We study the random Fibonacci sequences defined by F1 = F2 = F̃1 = F̃2 = 1 and for n ≥ 1, Fn+2 = Fn+1 ± Fn (linear case) and F̃n+2 = |F̃n+1 ± F̃n| (non-linear case), where each ± sign is independent and either + with probability p or − with probability 1 − p (0 < p ≤ 1). Our main result is that the exponential growth of Fn for 0 < p ≤ 1, and of F̃n for 1/3 ≤ p ≤ 1 is almost surely given by ∫ ∞ 0 log ...