Does anyone know about brusselators?

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Discussion Overview

The discussion revolves around the brusselator, a mathematical model described by differential equations, and its applications in stochastic processes. Participants share their experiences with coding the brusselator, express varying levels of expertise, and discuss the challenges associated with understanding and implementing the model.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant claims to be the potential expert on brusselators but expresses reluctance to help due to a lack of recent experience.
  • Another participant humorously misinterprets the term "brusselator" as related to persuading children to eat vegetables.
  • A participant mentions having written a brusselator program for a class using the Gillespie direct method, indicating a practical application of the model.
  • Some participants express that their engagement with the brusselator was limited to homework assignments, with little personal interest in the topic.
  • One participant reflects on their long career without prior knowledge of the brusselator, highlighting a lack of exposure to the concept.
  • Another participant shares a nostalgic connection to the brusselator from a childhood book, indicating a long-standing curiosity despite limited understanding.
  • Discussion includes technical details about Gillespie's method and its suitability for stochastic systems, noting that standard numerical methods may not apply.
  • One participant offers to revisit their code if a new thread on coding the brusselator is initiated, showing willingness to contribute.
  • Another participant indicates they are currently focused on their dissertation and manuscript, suggesting a lack of availability for further discussion.
  • A participant expresses regret about starting the thread but shows openness to helping if a new coding thread is created.

Areas of Agreement / Disagreement

Participants express varying levels of familiarity and interest in the brusselator, with no clear consensus on expertise or the necessity of further discussion. Some participants are willing to help, while others feel less inclined or lack the necessary knowledge.

Contextual Notes

Participants mention limitations in their understanding of the brusselator and its mathematical foundations, as well as the specific challenges associated with implementing it in programming environments like Mathematica.

jackmell
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I just maybe realized something: out of the what, 2 million people in PF I may be the expert on brusselators. Surely it ain't so Jack. And I won't bore many of you reading this trying to explain what a brusselator is.

Well, someone in PF is asking me for help and I don't feel like it. I feel bad about it. It's not easy. I mean the brusselator. It would take lots of work for me to even review it as it's been a few years since I've worked on it. Got other things to do. Still I feel bad about it.

Surely I'm not the brusselator expert in here.
 
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Brusselator? Is that what you use to "persuade" kids who don't want to eat their vegetables?
 
jtbell said:
Brusselator? Is that what you use to "persuade" kids who don't want to eat their vegetables?

Ok, I'm sorry. I should have explained. It's a differential equation and what I'm sayin' is that well, if nobody else can do it out of the millions of PF members, and I'm the only one (with Mathematica code that runs nicely), then maybe I might feel a little obligated to at least just look into it. There are some very smart people in the DE forum though.
 
I had to write a brusselator program for my stochastic processes class last semester using the Gillespie direct method.
 
Pythagorean said:
I had to write a brusselator program for my stochastic processes class last semester using the Gillespie direct method.

Hello Pythagorean,

And you weren't interested in the Red Bull speed ball huh? Neural stuff, no? But I digress.

I seem to have lost the PM I received asking for help. I guess I deleted it thinking it was the same person who asked me a few months ago. Maybe though it wasn't.

Anyway, I would have asked you if you would have been willing to help someone with it but I don't remember who the person was. I really barely understand it; enough to write code for the Turing patterns to emerge, some other nice GUI stuff.

How about if anyone else asks me, I'll suggest to them they contact you or anyone else replying to this thread that is familiar with it. In that way I can help.
 
I'm no expert, really. The brusselator wasn't that engaging for me, it was just a homework assignment and the assignment as a whole was more focused on studying Gillespie's stochastic sumulation algorithm (ssa).
 
I have lived my entire life (> 50 years) and worked my entire engineering career without knowing what a brusselator is, nor even hearing the term until I read this thread. Thankfully, also, I was never forced to write a brusselator program using the direct Gillespie method either. Gillespie? Wasn't he the sheriff over in Sparta, Mississippi a while back?
 
Pythagorean said:
I'm no expert, really.

I mean me neither dude. I heard about them when I was a young boy. I had this Popular Science book on mathematics and it briefly mentioned the elusive "simultaneous system of non-linear partial-differential equations" and I was intrigued. It took me most of my life to find out what they actually were and since I live in a constant state of barely understanding the math I work on, these are no exceptions. :)
 
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SteamKing said:
I have lived my entire life (> 50 years) and worked my entire engineering career without knowing what a brusselator is, nor even hearing the term until I read this thread. Thankfully, also, I was never forced to write a brusselator program using the direct Gillespie method either. Gillespie? Wasn't he the sheriff over in Sparta, Mississippi a while back?

It (Gillespie's method) is actually a pretty slick way of solving stochastic systems. If you want to do it explicity, you can't use your standard Runge-Kutta and/or Euler methods. The statistics don't work out. In stochastic systems, the step size goes as sqrt(dt) rather than dt :bugeye:.
 
  • #10
well I mean if you guys wanted to start a brand-new thread about it and stuff, I might be willing to dig-up some of my code. I don't know so much about the statistics but I recall using only the build-in methods and techniques of NDSolve in Mathematica to generate all sorts of Turing patterns in 2D, and I guess I did some other things as well, mostly illustrating nicely the results in different formats.

I stopped working on it a few years ago because I didn't see anything new I could contribute.
 
  • #11
I'm good; I have a dissertation and a manuscript to put my effort into, currently.
 
  • #12
Pythagorean said:
dissertation

Good to hear that. Make something happen! :)
 
  • #13
I guess I made a mistake starting this thread. I'm sorry. It's not that much work and at least now I know who it is so if they are willing to start a brand-new thread on coding the Brusselator in Mathematica in the coding forum, I'll help if I can.

Guess we can't just delete the whole thing right?
 
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