Motivated by a question about the sensitivity of knots’ diffusive motion to the actual sequence of nucleotides placed on a given DNA, here we study a simple model of a sequence-reading diffu- sion on a stretched chain with a frozen sequence of “letters” A and B, having different interaction energies. The chain contains a single distortion - a hernia - which brings the two letters at its bottom...
Morphogenesis, the process through which genes generate form, establishes tissue scale order as a template for constructing the complex shapes of the body plan. The extensive growth required to build these ordered substrates is fueled by cell proliferation, which, naively, should disrupt order. Understanding how active morphogenetic mechanisms couple cellular and mechanical processes to...
To improve the storage capacity of the Hopfield model, we develop a version of the dreaming al-
gorithm that perpetually reinforces the patterns to be stored (as in the Hebb rule), and erases the
spurious memories (as in dreaming algorithms). For this reason, we called it Daydreaming. Day-
dreaming is not destructive and it converges asymptotically to stationary retrieval maps. When
trained on...
Morphogenesis, the process through which genes generate form, establishes tissue scale order as a template for constructing the complex shapes of the body plan. The extensive growth required to build these ordered substrates is fueled by cell proliferation, which, naively, should disrupt order. Understanding how active morphogenetic mechanisms couple cellular and mechanical processes to...
