Approximation of a function on the sphere using an increasing number of spherical harmonics. https://t.co/ZmTOuTZ8MT

Mathieu, M., Isomursu, A., & Ivaska, J. (2024). Positive and negative durotaxis – mechanisms and emerging concepts. Journal of Cell Science, 137(8), jcs261919. #EpithelialMechanicsReview https://t.co/yzlDLqqUju

Surface parameterization computes a diffeomorphism between a 3-D surface and a « simple » domain. Here parameterizing an elephant on a sphere and half an elephant on a disk. https://t.co/JHeFba2MkO

One cool thing about insect wing evolution is that the oldest winged insects are Mayflies (Ephemeroptera) and Dragonflies (Odonata), both of which have aquatic larval stages. Wings may have evolved from gills, meaning insects had to learn to swim before they could fly!

What is this creature

The Shapley-Folkman-Starr theorem states that the Minkowski sum « convexifies » sets. https://t.co/fHRJjd6hAc

Oldies but goldies: P. Viola, M. Jones, Rapid Object Detection using a Boosted Cascade of Simple Features, 2001. One of the first successful methods for object (and in particular) face detection, combining Haar wavelets and AdaBoost. https://t.co/ifP00wvNWk

The Fast Marching algorithms perform a front propagation on the surface. It solves in a single pass the Eikonal equation and thus computes the geodesic distance to the starting points. https://t.co/FXySBO0Rtj https://t.co/WjH45uNBln

This is WoW

How do dynamic forces influence symmetry-breaking in embryonic development? Hi, I’m @r_negi_fzjulich, and in this thread, I’d like to introduce some aspects of the interdisciplinary research on tissue dynamics.

RNA vaccines for cancer: Principles to practice https://t.co/OlpMXbdH4d

76 years ago #Today, Claude Shannon published the article 'A Mathematical Theory of Communication', cited over 100,000 times, which is rare for a scientific article and gave rise to the field of information theory.

Stein's unbiased risk estimate (SURE) is an almost magical formula that enables the computation of the mean squared error of a denoiser (used, for example, in denoising score matching) using only the noisy observation y, without requiring the clean data x. https://t.co/NwmXkmRC15

Luciano, M., Tomba, C., Roux, A., & Gabriele S. (2024). How multiscale curvature couples forces to cellular functions. Nat Rev Phys, 6, 246–268. #EpithelialMechanicsReview https://t.co/SDMcvVVlr3

Oldies but goldies: Felipe Cucker, Steve Smale, The Mathematics of Emergence, 2007. Defines a simple model of particles exhibiting flocking behaviors. Diffusion of speeds is governed by a Laplacian on the fully connected graph of points. https://t.co/dgVhWXJBV0

Mathematical modeling: part 1/2.

N. Jung, W. K. Kim, C. Hyeon, Emergence of metachronal waves in a chain of symmetrically beating filaments. arXiv [cond-mat.soft] (2024).

FORCES SHAPING THE BLASTOCYST New review from the lab @CSHLPress with beautiful illustrations from @DavidRozema https://t.co/BYiQKVJB0p

The tiny predator Lacrymaria olor owes its shape-shifting ability to an “origami-like” cellular architecture, a new Science study finds. The results offer a glimpse into geometrical control of behavior in single cells. Learn more in this week's issue: https://t.co/eZq9RMZwKt