James E East

3 weeks ago | nature.com | Eoghan J. Mulholland |Hayley L. Belnoue-Davis |Aik Seng Ng |Kim S. Midwood |Neesha Dedi |Rachel A. Ridgway | +6 more

AbstractIn homeostasis, counterbalanced morphogen signalling gradients along the vertical axis of the intestinal mucosa regulate the fate and function of epithelial and stromal cell compartments. Here, we use a disease-positioned mouse and human tissue to explore the consequences of pathological BMP signalling dysregulation on epithelial-mesenchymal interaction.

Aug 28, 2024 | fis.tu-dresden.de | James E East |Western Sydney |Victoria Gould |Craig Miller

For a semigroup (Formula presented.) whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right- (Formula presented.)), the right diameter of (Formula presented.) is a parameter that expresses how ‘far apart’ elements of (Formula presented.) can be from each other, in a certain sense.

Aug 28, 2024 | fis.tu-dresden.de | Peter Cameron |James E East |Western Sydney |Des Fitzgerald

For a positive integer n, the full transformation semigroup Tn consists of all self maps of the set {1, …, n} under composition. Any finite semigroup S embeds in some Tn, and the least such n is called the (minimum transformation) degree of S and denoted µ(S). We find degrees for various classes of finite semigroups, including rectangular bands, rectangular groups and null semigroups. The formulae we give involve natural parameters associated to integer compositions.