Mathematical chemistry | Molecular topology | Topology | Molecular geometry
The circuit topology of a folded linear polymer refers to the arrangement of its intra-molecular contacts. Examples of linear polymers with intra-molecular contacts are nucleic acids and proteins. Proteins fold via formation of contacts of various nature, including hydrogen bonds, disulfide bonds, and beta-beta interactions. Contacts in the genome are established via protein bridges including CTCF and cohesins and are measured by technologies including Hi-C. Circuit topology categorises the topological arrangement of these physical contacts, that are referred to as hard contacts. Furthermore, chains can fold via knotting (or formation of "soft" contacts). Circuit topology uses a similar language to categorise both "soft" and "hard" contacts, and provides a full description of a folded linear chain. A simple example of a folded chain is a chain with two hard contacts. For a chain with two binary contacts, three arrangements are available: parallel, series and crossed. For a chain with n contacts, the topology can be described by an n by n matrix in which each element illustrates the relation between a pair of contacts and may take one of the three states, P, S and X. Multivalent contacts can also be categorised in full or via decomposition into several binary contacts. Similarly, circuit topology allows for classification of the pairwise arrangements of chain crossings and tangles, thus providing a complete 3D description of folded chains. Circuit topology has implications for folding kinetics and molecular evolution and has been applied to engineer polymers including protein origami. Circuit topology along with contact order and size are determinants of folding rate of linear polymers. The topology of the cellular proteome and natural RNA reflect evolutionary constraints on biomolecular structures. Topology landscape of biomolecules can be characterized and evolution of molecules can be studied as transition pathways within the landscape. (Wikipedia).
Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist Topology
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
What Is Network Topology? | Types of Network Topology | BUS, RING, STAR, TREE, MESH | Simplilearn
In this video on Network Topology, we will understand What is Network topology, the role of using topology while designing a network, Different types of Topologies in a Network. Network topology provides us with a way to configure the most optimum network design according to our requiremen
From playlist Cyber Security Playlist [2023 Updated]🔥
Computer Networks. Part Four: LAN Topology
This is fourth in a series about computer networks. The word topology refers to the layout and wiring of a local area network. This video describes the main layouts including the bus, the star, the ring and the mesh, in terms of their advantages and disadvantages. It also describes the
From playlist Computer Networks
Topology 1.3 : Basis for a Topology
In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Electrical Engineering: Ch 3: Circuit Analysis (9 of 37) Mesh Analysis with Voltage Sources
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the general concept using mesh analysis of calculating circuits with current sources. Next video in this series can be seen at: https://youtu.be/kHeeOUUIYoI
From playlist ELECTRICAL ENGINEERING 3 CIRCUIT ANALYSIS
In this video, I define connectedness, which is a very important concept in topology and math in general. Essentially, it means that your space only consists of one piece, whereas disconnected spaces have two or more pieces. I also define the related notion of path-connectedness. Topology
From playlist Topology
Series and Parallel Circuits | Electricity | Physics | FuseSchool
Series and Parallel Circuits | Electricity | Physics | FuseSchool There are two main types of electrical circuit: series and parallel. In a series circuit the components are connected end-to-end, one after the other.They make a simple loop for the current to flow round. In a parallel ci
From playlist PHYSICS: Electricity
8ECM Public Lecture: Kathryn Hess
From playlist 8ECM Public Lectures
Topological pumping: from the Quantized Hall Effect to circuit QED by David Carpentier
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
An intro to the core protocols of the Internet, including IPv4, TCP, UDP, and HTTP. Part of a larger series teaching programming. See codeschool.org
From playlist The Internet
Neural manifolds - The Geometry of Behaviour
This video is my take on 3B1B's Summer of Math Exposition (SoME) competition It explains in pretty intuitive terms how ideas from topology (or "rubber geometry") can be used in neuroscience, to help us understand the way information is embedded in high-dimensional representations inside
From playlist Summer of Math Exposition Youtube Videos
Xie Chen - Symmetry Protected Topological Phases - IPAM at UCLA
Recorded 02 September 2021. Xie Chen of the California Institute of Technology presents "Symmetry Protected Topological Phases" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Abstract: This talk will give a brief introduction to symmetry protected topologica
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Kathryn Hess (6/27/17) Bedlewo: Topology meets neuroscience
I will present an overview of applications of topology to neuroscience on a wide range of scales, from the level of neurons to the level of brain regions. In particular I will describe collaborations in progress with the Blue Brain Project on topological analysis of the structure and funct
From playlist Applied Topology in Będlewo 2017
Modeling Batteries Using Simulink and Simscape
Learn about equivalent circuits and why you’d want to use them. In this video, you will learn to: - Use equivalent circuits to represent the dynamic behavior of a battery cell. - Identify how to parameterize the equivalent circuit based on measurement data using parameter estimation. -
From playlist Hybrid Electric Vehicles
A System for Analog Filter Design, Realization, and Verification Using Mathematica and SystemModeler
Analog filters are an essential part of modern electronics; however, their design, realization and verification can be arduous and time consuming. This paper describes a Mathematica and SystemModeler platform for automated, fast analog filter design and simulation. The platform consists of
From playlist Wolfram Technology Conference 2013
Many ways to lose your mind: Dimensions of robustness in noisy ... by Upi Bhalla
Information processing in biological systems URL: https://www.icts.res.in/discussion_meeting/ipbs2016/ DATES: Monday 04 Jan, 2016 - Thursday 07 Jan, 2016 VENUE: ICTS campus, Bangalore From the level of networks of genes and proteins to the embryonic and neural levels, information at var
From playlist Information processing in biological systems
Lukasz Fidkowski - Floquet topological phases and QCA - IPAM at UCLA
Recorded 01 September 2021. Lukasz Fidkowski of the University of Washington presents "Floquet topological phases and QCA" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Abstract: We discuss topological phenomena beyond the zero temperature equilibrium sett
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Marcy Robertson: Expansions, completions and automorphisms of welded tangled foams
SMRI Seminar: Marcy Robertson (University of Melbourne) Abstract: Welded tangles are knotted surfaces in R^4. Bar-Natan and Dancso described a class of welded tangles which have "foamed vertices" where one allows surfaces to merge and split. The resulting welded tangled foams carry an alg
From playlist SMRI Seminars
Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-ac-analysis/v/ee-kvl-frequency-domain Impedance of two elements in series is a complex number. Impedance terminology: reactance,
From playlist Electrical engineering