Morphological and Topological Transformation of Liposomes

2002 ◽  
pp. 435-446
Author(s):  
H. Hotani ◽  
F. Nomura ◽  
S. Takeda ◽  
T. Inaba ◽  
K. Takiguchi ◽  
...  
Keyword(s):  
Topological Transformation

Computational Capacity of Complex Memcapacitive Networks

2021 ◽  
Vol 17 (2) ◽  
pp. 1-25
Author(s):  
Dat Tran ◽  
Christof Teuscher
Keyword(s):  
Power Consumption ◽  
Small World ◽  
Fading Memory ◽  
Reservoir Computing ◽  
Topological Transformation ◽  
Trade Off ◽  
Topological Structures ◽  
Computational Capacity ◽  
Computational Capability ◽  
Comparable Performance

Emerging memcapacitive nanoscale devices have the potential to perform computations in new ways. In this article, we systematically study, to the best of our knowledge for the first time, the computational capacity of complex memcapacitive networks, which function as reservoirs in reservoir computing, one of the brain-inspired computing architectures. Memcapacitive networks are composed of memcapacitive devices randomly connected through nanowires. Previous studies have shown that both regular and random reservoirs provide sufficient dynamics to perform simple tasks. How do complex memcapacitive networks illustrate their computational capability, and what are the topological structures of memcapacitive networks that solve complex tasks with efficiency? Studies show that small-world power-law (SWPL) networks offer an ideal trade-off between the communication properties and the wiring cost of networks. In this study, we illustrate the computing nature of SWPL memcapacitive reservoirs by exploring the two essential properties: fading memory and linear separation through measurements of kernel quality. Compared to ideal reservoirs, nanowire memcapacitive reservoirs had a better dynamic response and improved their performance by 4.67% on three tasks: MNIST, Isolated Spoken Digits, and CIFAR-10. On the same three tasks, compared to memristive reservoirs, nanowire memcapacitive reservoirs achieved comparable performance with much less power, on average, about 99× , 17×, and 277×, respectively. Simulation results of the topological transformation of memcapacitive networks reveal that that topological structures of the memcapacitive SWPL reservoirs did not affect their performance but significantly contributed to the wiring cost and the power consumption of the systems. The minimum trade-off between the wiring cost and the power consumption occurred at different network settings of α and β : 4.5 and 0.61 for Biolek reservoirs, 2.7 and 1.0 for Mohamed reservoirs, and 3.0 and 1.0 for Najem reservoirs. The results of our research illustrate the computational capacity of complex memcapacitive networks as reservoirs in reservoir computing. Such memcapacitive networks with an SWPL topology are energy-efficient systems that are suitable for low-power applications such as mobile devices and the Internet of Things.

Mathematical Analysis on Helicoids Architectural Form

2013 ◽  
Vol 790 ◽  
pp. 273-277
Author(s):  
Zhong Yi ◽  
Cheng Zhi Yuan
Keyword(s):  
Mathematical Analysis ◽  
Mathematical Theory ◽  
Architecture Design ◽  
Curved Surfaces ◽  
Mathematical Transformation ◽  
Geometric Figure ◽  
Topological Transformation ◽  
Architectural Form ◽  
Geometric Figures ◽  
Architecture Modeling

In a sense, architecture may be called as a geometric figure. Although architectural forms are very different, the form from one kind of architecture to another kind of architecture is equivalent to one kind of mathematical transformation in view of mathematics; for example, the transformation between a cube architecture and a spherical architecture belongs to a topological transformation. Currently, many sculptural features appear in the architecture design, which may be called as the nonlinear architecture. Curves and curved surfaces are widely used in the architecture modeling. Moreover, functional spaces are divided inside the architecture shell according to requirements. Architects are inclined to use a mathematical theory especially the geometrical knowledge in an architecture design. However, architects can not imagine many artistic geometric figures in geometry. Besides, such wonderful geometric figures always include some miraculous mathematical and physical properties.

Topological transformation of a trefoil knot into a [2]catenane

2017 ◽  
Vol 46 (47) ◽  
pp. 16474-16479 ◽  
Author(s):  
Thirumurugan Prakasam ◽  
Rana A. Bilbeisi ◽  
Roberto El-Khoury ◽  
Loïc J. Charbonnière ◽  
Mourad Elhabiri ◽  
...  
Keyword(s):  
Thermodynamic Investigation ◽  
Topological Transformation ◽  
Trefoil Knot

Kinetic and thermodynamic investigation of topological transformation of a trefoil knot into a [2]catenane in water.

scholarly journals Stone–Wales defects preserve hyperuniformity in amorphous two-dimensional networks

2021 ◽  
Vol 118 (3) ◽  
pp. e2016862118
Author(s):  
Duyu Chen ◽  
Yu Zheng ◽  
Lei Liu ◽  
Ge Zhang ◽  
Mohan Chen ◽  
...  
Keyword(s):  
2D Materials ◽  
Single Layer ◽  
Salient Feature ◽  
Density Fluctuations ◽  
Wave Number ◽  
Static Structure Factor ◽  
Two Dimensional ◽  
Static Structure ◽  
Topological Transformation ◽  
Amorphous Graphene

Disordered hyperuniformity (DHU) is a recently discovered novel state of many-body systems that possesses vanishing normalized infinite-wavelength density fluctuations similar to a perfect crystal and an amorphous structure like a liquid or glass. Here, we discover a hyperuniformity-preserving topological transformation in two-dimensional (2D) network structures that involves continuous introduction of Stone–Wales (SW) defects. Specifically, the static structure factor S(k) of the resulting defected networks possesses the scaling S(k)∼kα for small wave number k, where 1≤α(p)≤2 monotonically decreases as the SW defect concentration p increases, reaches α≈1 at p≈0.12, and remains almost flat beyond this p. Our findings have important implications for amorphous 2D materials since the SW defects are well known to capture the salient feature of disorder in these materials. Verified by recently synthesized single-layer amorphous graphene, our network models reveal unique electronic transport mechanisms and mechanical behaviors associated with distinct classes of disorder in 2D materials.

scholarly journals Topological transformation of liposomes by a membrane-affecting domain of recombinant human erythropoietin

2010 ◽  
Vol 20 (1) ◽  
pp. 24-30 ◽  
Author(s):  
Stefanie Strobach ◽  
Renate Kunert ◽  
Johannes Stadlmann ◽  
Paul Messner ◽  
Eva Sevcsik ◽  
...  
Keyword(s):  
Recombinant Human Erythropoietin ◽  
Topological Transformation ◽  
Human Erythropoietin
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