Results 41 to 50 of about 17,391 (302)
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
A Discrete Schwarzian Derivative via Circle Packing [PDF]
There exists an extensive and fairly comprehensive discrete analytic function theory which is based on circle packing. This paper introduces a faithful discrete analogue of the classical Schwarzian derivative to this theory and develops its basic ...
Kenneth Stephenson
core +1 more source
Circle Packing and the Math of Social Distancing [PDF]
What is the maximum number of people to be allowed in a certain area to practice social distancing during COVID-19? Scientists recommend that people keep at least two meters away from each other, then we can imagine each person to be at the center of a ...
Nguyen, My
core
Discretization-Based Solution Approaches for the Circle Packing Problem [PDF]
The problem of packing a set of circles into the smallest surrounding container is considered. This problem arises in different application areas such as automobile, textile, food, and chemical industries. The so-called circle packing problem can be cast
Kocuk, Burak, Taşpınar, Rabia
core +3 more sources
Packing Unequal Circles into a Minimum-Radius Circle Using r-Algorithm
Two approaches to employ the Shor’s r-algorithm for solving a problem of packing unequal circles into a minimum-radius circle are studied. The first approach uses multistart of the r-algorithm with a step dichotomy from a set of feasible starting points.
Bohdan Zadorozhnyi +4 more
doaj +1 more source
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
The Various Radii Circle Packing Problem in a Triangle
Malfatti’s problem is the problem of fitting three circles into a triangle such that they are tangent to each other and each circle is also tangent to a pair of the triangle’s sides.
Ching-Shoei Chiang, Yi-Ting Chiang
doaj +1 more source
Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
wiley +1 more source
Unimodular Hyperbolic Triangulations: Circle Packing and Random Walk [PDF]
We show that the circle packing type of a unimodular random plane triangulation is parabolic if and only if the expected degree of the root is six, if and only if the triangulation is amenable in the sense of Aldous and Lyons [1].
Omer Angel +3 more
core +2 more sources
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source

