Generalized Models: A quick Introduction

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This is only a quick intro. if you want to know more check out the paper:

JC Massing and T Gross (2022) 'Generalized Structural Kinetic Models: A survey and guide' Frontiers in Molecular Biosciences 9, 825052.

This video presents only the most basic example of a generalized model. The method has been used in many many papers and deals elegantly with models with a very large number of variables and processes. It has been used in many different fields ranging from operations research and game theory via cell biology to ecology and social systems. It is sometimes also called strutural-kinetic modelling. In many cases generalized modelling was opened up new ways of thinking about the system under considerations, leading to high impact publications. The rest of the time its just a trick that makes your life so much easier.

CONTENTS
00:00 Introduction
00:45 Example System
02:06 Steady State
02:48 Normalization Procedure
04:27 Scale Parameters
05:30 Jacobian Matrix
05:54 Exponent Parameters
06:47 Interpretation of Parameters
09:20 Results
09:53 Final Thoughts
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remember your lectures at Bristol fondly :) regrettably was lazy learning some elements of engmaths but these videos motivate me to revisit!

thirtysixnanoseconds
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Thank you for the great video! Honestly like math ASMR! I like how your videos are really about the art of modelling, and using mathematics as a tool to think about physical systems rather than a means of formalizing what we know. Perhaps the latter sentiment, for me, stems from being mostly around biologists, but I was wondering if you could go back how would you go about really learning to think mathematically, in particular with a modelling flavor. I am currently covering the basics of mathematics, for the last three years, and am about to start with a differntial equations course. I was hoping this is where modelling will really come into placing, i.e using math to understand systems. Just hoping to get a bit of mathematical mentoring to understand the landscape ahead of me :)

ElectricTeaCup