time to heat up domestic water: pasta pot, hot tub, etc

function of starting temperature, environmental temperature, insulation, volume/surface area

## Paper read: "The impact of mathematical modeling languages on model quality in systems biology"

    The impact of mathematical modeling languages on model quality in systems biology: A software engineering perspective
    Christopher Sch¨olzel1, Valeria Blesius, Gernot Ernst, and Andreas Dominik
    https://www.biorxiv.org/content/10.1101/2019.12.16.875260v3

Interesting refs:

- [A long journey into reproducible computational neuroscience](https://www.frontiersin.org/articles/10.3389/fncom.2015.00030/full)
- Guidelines for Reproducibly Building and Simulating Systems Biology Models
-  Is My Model Good Enough? Best Practices for Verification and Validation of Musculoskeletal Models and Simulations of Movement
- Antimony: A Modular Model Definition Language
- SimuPy: A Python Framework for Modeling and Simulating Dynamical Systems
- Systems Modeling and Programming in a Unified Environment Based on Julia
- Recent advances in biomedical simulations: a manifesto for model engineering

> [...] Guyton model, which is probably among the most complicated monolithic models in systems biology [...]

## Modia: Modelica-like in Julia

Slides: https://modiasim.github.io/Modia.jl/slides/Systems-Modeling-and-Programming-Slides.pdf

Code: https://github.com/ModiaSim/Modia.jl

Expresses a strong interest in visual representation.


## Lean / mathlib

<https://leanprover-community.github.io/>

<https://www.quantamagazine.org/building-the-mathematical-library-of-the-future-20201001/>


## Other

Had not heard of "SimScape", a component of MATLAB along side Simulink.

There is a somewhat arbitrary list of "100 theorems" used to compare systems
like Lean and Coq: <https://www.cs.ru.nl/~freek/100/>. What would a model or
physical systems equivalent include?

Interchange-like format for Modelica: <https://fmi-standard.org/>

What features should next modelthing iteration have?

- s-expr native syntax
- modularity/hierarchy
- "hybrid" (including discrete)
- input: mathml
- output: c, wasm, julia, modelica, mathml, latex, text
- some datastore, with ability to fetch code from website/API

What are the type systems and data model of computer algebra systems?