Materials on modelling phenomena with ODE/PDE

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Discussion Overview

The discussion focuses on guidance for modeling real-world phenomena using ordinary differential equations (ODE), partial differential equations (PDE), and stochastic differential equations (SDE). Participants explore resources and principles related to these modeling techniques, particularly in the context of systems biology.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks recommendations for books that address modeling real-world phenomena with ODE/PDE/SDE equations.
  • Another participant asks for clarification on the specific type of modeling being considered, emphasizing that no single book covers all topics.
  • A participant expresses interest in general principles of modeling, specifically in systems biology, and poses questions about model formulation and verification.
  • A recommendation is made for the book "Transport Phenomena" by Bird, Stewart, and Lightfoot as a useful resource.

Areas of Agreement / Disagreement

Participants generally agree on the need for specificity in modeling topics, but multiple views on the best resources and approaches remain. The discussion does not reach a consensus on the best methods for model formulation and verification.

Contextual Notes

The discussion highlights the limitations of available resources in covering all aspects of modeling and the dependence on specific applications within the broader field of systems biology.

Excoriate
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Hi,

I am looking for some guidance w.r.t modelling real world phenomena using ODE/PDE/SDE type equations. Are there books which go into the issues of modelling real world phenomena with these sorts of equations?

Thanks in advance,

Excor.
 
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What type of modeling are you looking into? Thermal modeling, electromagnetics, stress, ... etc.

Please do not say "ALL" as no book covers all of the information.

The more specific your question is the better the answer will be.

Thanks
Matt
 
Well I am more looking for general principles but I am primarily interested in the area of systems biology atm.

The questions I am interested in are things like:

1) How does one go about formulating a model?
2) How does one verify that the model is correct?
 
The best book that I can recommend is "Transport Phenomena" by Bird, Stewart, and Lightfoot.

Thanks
Matt
 
Thanks I will take a look :-).
 

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