失われた数理モデリングの芸術
The Lost Art of Mathematical Modelling
機械学習の急速な発展を踏まえ、数理生物学におけるモデリングの現状を批判し、創造的なモデル構築の重要性を魚の遊泳を例に論じた論文。
著者: Linnéa Gyllingberg, Abeba Birhane, David J. T. Sumpter
分類: q-bio.OT, cs.LG, nlin.AO, physics.bio-ph
原文アブストラクト
We provide a critique of mathematical biology in light of rapid developments in modern machine learning. We argue that out of the three modelling activities -- (1) formulating models; (2) analysing models; and (3) fitting or comparing models to data -- inherent to mathematical biology, researchers currently focus too much on activity (2) at the cost of (1). This trend, we propose, can be reversed by realising that any given biological phenomena can be modelled in an infinite number of different ways, through the adoption of an open/pluralistic approach. We explain the open approach using fish locomotion as a case study and illustrate some of the pitfalls -- universalism, creating models of models, etc. -- that hinder mathematical biology. We then ask how we might rediscover a lost art: that of creative mathematical modelling. This article is dedicated to the memory of Edmund Crampin.