Results 11 to 20 of about 35,005 (170)

Combinatorial cohomology of the space of long knots [PDF]

, 2014
The motivation of this work is to define cohomology classes in the space of knots that are both easy to find and to evaluate, by reducing the problem to simple linear algebra.
Mortier, Arnaud
core   +1 more source

Legendrian and transverse twist knots

, 2011
In 1997, Chekanov gave the first example of a Legendrian nonsimple knot type: the $m(5_2)$ knot. Epstein, Fuchs, and Meyer extended his result by showing that there are at least $n$ different Legendrian representatives with maximal Thurston--Bennequin ...
Etnyre, John B., Ng, Lenhard L., Vertesi, Vera   +2 more
core   +1 more source

The Theory of Pseudoknots

, 2012
Classical knots in $\mathbb{R}^3$ can be represented by diagrams in the plane. These diagrams are formed by curves with a finite number of transverse crossings, where each crossing is decorated to indicate which strand of the knot passes over at that ...
Henrich, Allison, Hoberg, Rebecca, Jablan, Slavik, Johnson, Lee, Minten, Elizabeth, Radovic, Ljiljana   +5 more
core   +1 more source

Knot Probabilities in Random Diagrams

, 2015
We consider a natural model of random knotting- choose a knot diagram at random from the finite set of diagrams with n crossings. We tabulate diagrams with 10 and fewer crossings and classify the diagrams by knot type, allowing us to compute exact ...
Cantarella, Jason, Chapman, Harrison, Mastin, Matt   +2 more
core   +1 more source

Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application

Advanced Materials, EarlyView.
This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong, You Zhou, Qingxiu Li, Wenyu Zhao, Sunyingyue Geng, Hangfei Li, Yan‐Bing Leng, Shirui Zhu, Guanglong Ding, Yongbiao Zhai, Ziyu Lv, Ye Zhou, Su‐Ting Han   +12 more
wiley   +1 more source

Neighbors of knots in the Gordian graph

, 2016
We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance.Comment: Accepted by American Mathematical Monthly.
Blair, Ryan, Campisi, Marion, Johnson, Jesse, Taylor, Scott A., Tomova, Maggy   +4 more
core   +1 more source

A Proof‐of‐Concept Assessment of a Novel Wearable Eyelid Muscle Device: A Pre‐Clinical Animal Cadaver Study for Eyelid Closure Restoration

Advanced Robotics Research, EarlyView.
This article introduces a soft wearable eyelid sling device incorporating a hydraulic soft artificial muscle (SAM) for achieving complete closure of an eyelid. The SAM is driven by a cam mechanism that provides a displacement profile closely matched with those of a healthy eyelid.
Patrick Pruscino, Phuoc Thien Phan, James Davies, Bibhu Sharma, Tianruo Guo, Chi Cong Nguyen, Nigel H. Lovell, Thanh Nho Do   +7 more
wiley   +1 more source

Neural Circuits between Nodose Ganglion and Pulmonary Neuroendocrine Cells Regulate Lung Inflammatory Responses

Advanced Science, EarlyView.
TRPA1+αCGRP+ sensory neurons in the nodose ganglion detect external insults such as lipopolysaccharide (LPS) and interact directly with pulmonary neuroendocrine cells (PNECs), promoting their activation and proliferation. This neural‐epithelial interaction amplifies lung inflammation.
Jie Chen, Shitao Xie, Zhekai Lin, Caiqi Zhao, Rujia Tao, Yingying Ma, Xiaoyan Chen, Renlan Wu, Qingjian Han, Pengfei Sui, Sheng Wang, Hongbin Ji, Hai Song, Xiaoming Zhang, Yangang Sun, Yuanlin Song, Xiao Su   +16 more
wiley   +1 more source

Virtual Knot Cobordism

, 2014
This paper defines a theory of cobordism for virtual knots and studies this theory for standard and rotational virtual knots and links. Non-trivial examples of virtual slice knots are given. Determinations of the four-ball genus of positive virtual knots
Kauffman, Louis H.
core   +1 more source

Population‐Based Multi‐Omics and Cohort Study Identifying Predictive Biomarkers and Therapeutic Targets for Psoriatic Disease

Advanced Science, EarlyView.
Psoriatic disease (PsD) is a chronic skin disease, with challenges in early risk stratification and drug development. Through gene‐level causal inference framework and expression level validation, combined with longitudinal cohort study, CDSN and PRSS8 have been identified as candidate biomarkers and therapeutic targets for PsD.
Tianxing Wu, Jialiang Luo, Haoyuan Qiu, Weijie Shao, Yueyang Lu, Meixuan Luo, Zhaofeng Lin, Yan Zhang, Libo Zhang, Hong Wang, Jia Zhou, Guangfeng Ruan, Peihua Cao, Daming Zuo   +13 more
wiley   +1 more source