Combinatorics

Combinatorial biology

In biotechnology, combinatorial biology is the creation of a large number of compounds (usually proteins or peptides) through technologies such as phage display. Similar to combinatorial chemistry, compounds are produced by biosynthesis rather than organic chemistry. This process was developed independently by Richard A. Houghten and H. Mario Geysen in the 1980s. Combinatorial biology allows the generation and selection of the large number of ligands for high-throughput screening. Combinatorial biology techniques generally begin with large numbers of peptides, which are generated and screened by physically linking a gene encoding a protein and a copy of said protein. This could involve the protein being fused to the M13 minor coat protein pIII, with the gene encoding this protein being held within the phage particle. Large libraries of phages with different proteins on their surfaces can then be screened through automated selection and amplification for a protein that binds tightly to a particular target. (Wikipedia).

Combinatorial biology
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Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 1) by Greg Blekherman

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Large deviations for random hives and the spectrum of the sum of two random.. by Hariharan Narayanan

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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The Tropical Limit of String Theory and Feynman Integrals by Piotr Tourkine

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Circular Fence Posets and Associated Polytopes with Unexpected Symmetry by Mohan Ravichandran

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 4) by Greg Blekherman

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study o

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Newton Polytopes and parameter estimation in reaction networks by Nidhi Kaihnsa

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Generalizing GKZ secondary fan using Berkovich geometry by Tony Yue Yu

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Geometry of tropical varieties with a view toward applications (Lecture 1) by Omid Amini

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Introduction to Chemical Biology 128. Lecture 02. Common Tools in Chemical Biology.

UCI Chem 128 Introduction to Chemical Biology (Winter 2013) Lec 02. Introduction to Chemical Biology --Common Tools in Chemical Biology View the complete course: http://ocw.uci.edu/courses/chem_128_introduction_to_chemical_biology.html Instructor: Gregory Weiss, Ph.D. License: Creative Co

From playlist Chem 128: Intro to Chem Biology

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Ellen Vitercik: "How much data is sufficient to learn high-performing algorithms?"

Deep Learning and Combinatorial Optimization 2021 "How much data is sufficient to learn high-performing algorithms?" Ellen Vitercik - Carnegie Mellon University Abstract: Algorithms often have tunable parameters that have a considerable impact on their runtime and solution quality. A gro

From playlist Deep Learning and Combinatorial Optimization 2021

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7. The Importance of Development in Evolution

Principles of Evolution, Ecology and Behavior (EEB 122) Development is responsible for the complexity of multicellular organisms. It helps to map the genotype into the phenotype expressed by the organism. Development is responsible for ancient patterns among related organisms, and many

From playlist Evolution, Ecology and Behavior with Stephen C. Stearns

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Emil Saucan (7/29/22): Discrete Morse Theory, Persistent Homology and Forman-Ricci Curvature

Abstract: It was observed experimentally that Persistent Homology of networks and hypernetworks schemes based on Forman's discrete Morse Theory and on the 1-dimensional version of Forman's Ricci curvature not only both perform well, but they also produce practically identical results. We s

From playlist Applied Geometry for Data Sciences 2022

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Introduction to Chemical Biology 128. Lecture 01. Introduction/What is Chemical Biology?

UCI Chem 128 Introduction to Chemical Biology (Winter 2013) Lec 01. Introduction to Chemical Biology -- Introduction/What is Chemical Biology? View the complete course: http://ocw.uci.edu/courses/chem_128_introduction_to_chemical_biology.html Instructor: Gregory Weiss, Ph.D. License: Crea

From playlist Chem 128: Intro to Chem Biology

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Research Working Session: Thursday, Apr. 28, 2022 [Molecular Computing]

This is a research session on Molecular Computing. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram here: https://www.twitch.tv/stephen_wolfram/ Follow us on our o

From playlist Science and Research Livestreams

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21. Development 1

MIT 7.013 Introductory Biology, Spring 2011 View the complete course: http://ocw.mit.edu/7-013S11 Instructor: Hazel Sive Professor Sive discusses cell types and explains how they differentiate. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses a

From playlist MIT 7.013 Introductory Biology, Spring 2011

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Introduction to Chemical Biology 128. Lecture 04. Combinatorial Chemistry and Biology.

UCI Chem 128 Introduction to Chemical Biology (Winter 2013) Lec 04. Introduction to Chemical Biology -- Combinatorial Chemistry and Biology View the complete course: http://ocw.uci.edu/courses/chem_128_introduction_to_chemical_biology.html Instructor: Gregory Weiss, Ph.D. License: Creativ

From playlist Chem 128: Intro to Chem Biology

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Anthea Monod (2/11/21): Tropical geometry of phylogenetic tree spaces

Title: Tropical geometry of phylogenetic tree spaces Abstract: BHV (Billera Holmes Vogtmann) space is a well-studied moduli space of phylogenetic trees that appears in many scientific disciplines, including computational biology, computer vision, combinatorics, and category theory. Speye

From playlist AATRN 2021

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10/18/18 Konstantin Mischaikow

A Combinatorial/Algebraic Topological Approach to Nonlinear Dynamics

From playlist Fall 2018 Symbolic-Numeric Computing

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Singular Hodge Theory for Combinatorial Geometries by Jacob Matherne

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Combinatorial chemistry