Newton Bio Morph X

A computational framework for simulating tissue-scale mechanics of morphogenesis

The self-organised morphogenesis of multicellular organisms emerges not only from biochemical but also from mechanical processes, operating across spatial scales and producing symmetry breaking through mechanical instabilities. Yet, user-friendly computational tools for simulating tissue-scale mechanics are virtually nonexistent.

Over the years, we developed a finite element formulation and applied it to several research projects: the development of a polygonal network of creases in mammalian noses (Current Biology 2024); the drug-induced transition from chemical pre-patterning to mechanical skin folding in chicken reticulate scales (Open Biology 2025); the self-organised mechanical patterning of scales on the head and jaws of crocodiles (Nature 2025); and the patterning of scales on the top of the head of tortoises (iScience 2025). These morphogenetic processes are driven by growth and active contractility, and are influenced by the elastic and plastic properties of the tissues, as well as by their anisotropic reinforcement by fibres, multilayer interactions, and curvature.

Here, we present NewtonBioMorphX (Computer Physics Communications 2026), a GPU-accelerated, open-source application that brings together all these functionalities within a user-friendly graphical interface. Directly from the interface, you can generate geometries, define material properties, prescribe growth, add anisotropic reinforcement and active forces, visualise results in real time, and export simulations for further analysis.

In short, NewtonBioMorphX makes sophisticated mechanical modelling of morphogenesis accessible without editing or recompiling any code, for biologists and physicists alike. It is also a powerful teaching tool: you can showcase the principles of mechanical patterning, and your students can explore them hands-on themselves.

NewtonBioMorphX also includes twelve ready-to-run presets that illustrate how growth, elasticity, plasticity, fibre reinforcement, active contractility, multilayer interactions, and curvature collectively influence morphogenesis. We encourage you to work through them in order: together, they progressively introduce the major capabilities of the framework.

We hope you will enjoy using NewtonBioMorphX in your research and teaching.

GPU-Accelerated

High-performance mechanics engine running on nVidia GPUs

Interactive GUI

Easily create geometries, tune material properties, and prescribe growth rates interactively

Real-Time Rendering

Live rendering of mechanical state, tissue properties and symmetry breaking

Research & Teaching

Includes 12 ready-to-run presets designed for classroom exploration and advanced modeling

Tutorial Movie

A short movie illustrating the main functionalities of NewtonBioMorphX.

The Manual

The comprehensive user manual is available in PDF format and as an interactive online manual:

PDF User Manual

Printable, high-resolution documentation for reading offline.

Online User Manual

Comprehensive interactive documentation directly accessible in your browser.

Downloads

Get precompiled NewtonBioMorphX binaries for Windows and Linux, or access the full source code repository.

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Windows Binary
Windows 10/11 (64-bit)

Standalone executable for 64-bit Windows 10/11 systems.

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Linux Binary
Linux x86_64

Standalone executable for 64-bit Linux distributions.

Source Code
GitHub Repository

Access the complete source code on GitHub.

System Requirements
NVIDIA GPU & Driver NVIDIA GPU with CUDA support and an up-to-date NVIDIA driver (driver R560 or newer recommended).

The Original Article

Article Details

NewtonBioMorphX: a computational framework for simulating tissue-scale mechanics of morphogenesis

Ebrahim Jahanbakhsh & Michel C. Milinkovitch

Computer Physics Communications 2026

Correspondence: Michel C. Milinkovitch

Research articles using the NewtonBioMorphX code

The finite element mechanics formulations in NewtonBioMorphX have powered multiple breakthrough publications exploring biological shape transitions and developmental mechanics:

Chemical and mechanical patterning of tortoise skin scales occur in different regions of the head

Cooper, Jahanbakhsh & Milinkovitch

iScience 28, 6 (2025)

Exacerbated sonic hedgehog signalling promotes a transition from chemical pre-patterning of chicken reticulate scales to mechanical skin folding

Cooper, Jahanbakhsh, Santos Durán & Milinkovitch

Open Biology 15, 4 (2025)

Self-organized patterning of crocodile head scales by compressive folding

Santos-Durán, Cooper, Jahanbakhsh, Timin & Milinkovitch

Nature 637 : 375-383 (2025)

Mechanical positional information guides the self-organized development of a polygonal network of creases in the skin of mammalian noses

Dagenais, Jahanbakhsh, Capitan, Jammes, Reynaud, De Juan Romero, Borrell & Milinkovitch

Current Biology 24 (2024)

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NewtonBioMorphX App Icon

NewtonBioMorphX Logo & App Icon Design: Fabrice Berger & Gregory Loichot