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Results tagged with simulation
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user 6358
Simulation is the imitation of the operation of a real-world process or system over time.
7
votes
Accepted
Michaelis–Menten kinetics using Tau-Leaping
Hack #1: add 10^-100 to the argument of PoissonDistribution. This won't appreciably affect the rates, but will prevent PoissonDistribution[0] from occurring.
This reveals another potential problem: …
- 20.4k
6
votes
Speeding up the Kuramoto model on a random graph
There are probably other improvements to be had, but the first thing I noticed is passing a bunch of InterpolatingFunctions out from a[l,t] seems inefficient. This calculates more in a[l,t] and speed …
- 20.4k
6
votes
Simple Birth Death Process
I just did this in class today using @IstvánZachar's GillespieSSA function from this answer. Load that, then:
ClearAll[n];
reactions = {n -> 2 n, n -> Null};
b0 = 3;
d0 = 2;
rates = {b0, d0};
init = …
- 20.4k
12
votes
Multiple reflections of a laser beam in a triangle
Instead of thinking too hard, we can let NDSolve take care of it, using WhenEvent to handle the reflections.
First, set up 3 lines to define the arena:
{m1, b1} = {2, 0};
{m2, b2} = {-1, 1};
{m3, b …
- 20.4k