Stochastic simulation | Monte Carlo methods
In probability theory, the Gillespie algorithm (or the Doob-Gillespie algorithm or Stochastic Simulation Algorithm, the SSA) generates a statistically correct trajectory (possible solution) of a stochastic equation system for which the reaction rates are known. It was created by Joseph L. Doob and others (circa 1945), presented by Dan Gillespie in 1976, and popularized in 1977 in a paper where he uses it to simulate chemical or biochemical systems of reactions efficiently and accurately using limited computational power (see stochastic simulation). As computers have become faster, the algorithm has been used to simulate increasingly complex systems. The algorithm is particularly useful for simulating reactions within cells, where the number of reagents is low and keeping track of the position and behaviour of individual molecules is computationally feasible. Mathematically, it is a variant of a dynamic Monte Carlo method and similar to the kinetic Monte Carlo methods. It is used heavily in computational systems biology. (Wikipedia).
Discrete Math - 3.1.2 Searching Algorithms
Linear search and binary search algorithms. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Make A Combination Lock - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Measuring Time Solution - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Combination Locks - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Discrete Math - 3.1.3 Sorting Algorithms
Bubble sort and insertion sort algorithms. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Jacobi, Gauss-Seidel and SOR Methods | Lecture 66 | Numerical Methods for Engineers
Iterative methods for solving the discrete Laplace equation. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?
From playlist Numerical Methods for Engineers
Hybrid Deterministic-Stochastic Modeling
Robert Nachbar explains how Mathematica and C were used to develop a hybrid deterministic-stochastic simulation engine based on differential equations and the chemical master equation. He highlights some interesting aspects of the implementation and demonstrates its use in this talk from t
From playlist Wolfram Technology Conference 2012
[Calculus] Newton's Method || Lecture 36
Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que
From playlist Calculus 1
Olivier Le Maître: Global Sensitivity Analysis in Stochastic Systems
Abstract: In this talk we first quickly present a classical and simple model used to describe flow in porous media (based on Darcy's Law). The high heterogeneity of the media and the lack of data are taken into account by the use of random permability fields. We then present some mathemati
From playlist Probability and Statistics
Epidemiological case studies on Dengue and HIV by Daniel Coombs
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
Mode-hopping in entrained biological oscillator by Sandeep Krishna
Indian Statistical Physics Community Meeting 2016 URL: https://www.icts.res.in/discussion_meeting/details/31/ DATES Friday 12 Feb, 2016 - Sunday 14 Feb, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community wh
From playlist Indian Statistical Physics Community Meeting 2016
Dynamics and Economy of Molecular Machines (Lecture 3) by Stefan Klumpp
PROGRAM STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL ORGANIZERS: Debashish Chowdhury (IIT-Kanpur, India), Ambarish Kunwar (IIT-Bombay, India) and Prabal K Maiti (IISc, India) DATE: 11 October 2022 to 22 October 2022 VENUE: Ramanujan Lecture Hall 'Fluctuation-and-noise' a
From playlist STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (2022)
Solve a System of Equations by Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System Algebraically | Algebra 2
Solving a system of equations with infinite many solutions
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
The Japanese myth of the trickster raccoon - Iseult Gillespie
Dive into the Japanese myth of the shape-shifting tanuki, as the raccoon-like creature rewards a traveling salesman for his kindness. -- On the dusty roads of a small village, a traveling salesman was having difficulty selling his wares. As he wandered the outskirts of town in the hopes
From playlist Myths from Around the World
The myth of Zeus' test - Iseult Gillespie
Dig into the myth of Baucis and Philemon, a couple who unknowingly showed the gods hospitality after their neighbors refused. -- It was dark when two mysterious, shrouded figures appeared in a hillside village. The strangers knocked on every door in town, asking for food and shelter. But
From playlist Myths from Around the World
The myth of Hades and Persephone - Iseult Gillespie
Dig into the Greek myth of Persephone, who is abducted by Hades and is only allowed to leave the underworld every spring. -- One day, Persephone was frolicking in a meadow with the nymph, Cyane. As they admired a flower, they noticed it tremble in the ground. Suddenly, the earth split, a
From playlist Myths from Around the World
Savitri and Satyavan: The legend of the princess who outwitted Death - Iseult Gillespie
Dig into the tale of Princess Savitri and her one true love, Satyavan, and the tragic prophecy that entwined their fates forever. -- Princess Savitri was benevolent, brilliant, and bright. Her grace was known throughout the land, and many princes and merchants flocked to her family’s pal
From playlist Myths from Around the World
Using two multipliers when solving a system of equations using the addition method
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Hard
The Norse myth that inspired “The Lord of the Rings” - Iseult Gillespie
Download a free audiobook version of “The Lord of the Rings: The Fellowship of the Ring“ and support TED-Ed's nonprofit mission: https://www.audible.com/ted-ed -- The dwarves were master craftspeople. One dwarf, Andvari, forged marvelous creations. He often took the form of a fish and, o
From playlist Myths from Around the World