Biological applications of bifurcation theory provide a framework for understanding the behavior of biological networks modeled as dynamical systems. In the context of a biological system, bifurcation theory describes how small changes in an input parameter can cause a bifurcation or qualitative change in the behavior of the system. The ability to make dramatic change in system output is often essential to organism function, and bifurcations are therefore ubiquitous in biological networks such as the switches of the cell cycle. (Wikipedia).
Mathematical model of a fishery
In a model of a fishery, bifurcation theory is used to understand how the fish population depends on the rate at which fish are caught. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https:
From playlist Differential Equations
Bifurcating conformal metrics with constant Q-curvature - Renato Bettiol
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From playlist Variational Methods in Geometry
Rahul Savani: Polymatrix Games Algorithms and Applications
Polymatrix games are multi-player games that capture pairwise interactions between players. They are defined by an underlying interaction graph, where nodes represent players, and every edge corresponds to a two-player strategic form (bimatrix) game. This talk will be a short survey that w
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Solving for sine with no constraints
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
How to find all of the solutions of an equation with secant
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
Solving a trigonometric equation with sine on both sides
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
Learning and Predicting Novel Metabolic Pathways through subgraph mining by Karthik Raman
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018
Use even odd identities to help solve trig equation with cosine
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Simplify Trigonometric Identities
Canalization and Evolution: Canalization and adaptation by John Reinitz
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
From Microscopics to Phenomenology: Geometric models for cell fate specification by Archishman Raju
COLLOQUIUM FROM MICROSCOPICS TO PHENOMENOLOGY: GEOMETRIC MODELS FOR CELL FATE SPECIFICATION SPEAKER: Archishman Raju (NCBS - TIFR, Bengaluru) DATE: Mon, 27 September 2021, 15:30 to 17:00 VENUE: Online Colloquium ABSTRACT Microscopic models of cell fate specification in developing embr
From playlist ICTS Colloquia
Explosive death in coupled oscillators by Manish Shrimali
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018
Geometric Models of Cell Fate Specification by Archisman Raju
DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer
From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023
Lida Kanari (2022/10/05) : A topological understanding of neuronal morphologies
Title: A topological understanding of neuronal morphologies; from single cells to detailed neuronal networks Abstract: Topological data analysis, and in particular persistent homology, has provided robust results for numerous applications, such as protein structure, cancer detection and m
From playlist AATRN 2022
How to solve a trigonometric equation when it is already solved cos
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
Neural oscillations, weak coupling and networks by Bard Ermentrout
Dynamics of Complex Systems - 2017 DATES: 10 May 2017 to 08 July 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore This Summer Program on Dynamics of Complex Systems is second in the series. The theme for the program this year is Mathematical Biology. Over the past decades, the focus o
From playlist Dynamics of Complex Systems - 2017
Theodore Vo: Canards, Cardiac Cycles, and Chimeras
Abstract: Canards are solutions of singularly perturbed ODEs that organise the dynamics in phase and parameter space. In this talk, we explore two aspects of canard theory: their applications in the life sciences and their ability to generate new phenomena. More specifically, we will use
From playlist SMRI Seminars
Andrey Shilnikov - Reconstructed rhythm-generation by neural circuits in two sea slugs
Recorded 31 August 2022. Andrey Shilnikov of Georgia State University presents "Reconstructed rhythm-generation by neural circuits in two sea slugs" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: We disclose biologically plausible co
From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond
How to solve trigonometric equations with cosecant
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
How to find all of the solutions to an equation as well as within the unit circle
๐ Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
Cardiac Arrhythmias: What can we learn from Mathematical Models for Cardiac Tissue? by Rahul Pandit
PROGRAM DYNAMICS OF COMPLEX SYSTEMS 2018 ORGANIZERS Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATE: 16 June 2018 to 30 June 2018 VENUE: Ramanujan hall for Summer School held from 16 - 25 June, 2018; Madhava hall for W
From playlist Dynamics of Complex systems 2018