Dear Rushabh,

Thanks for your interest. Have you researched what kinds of paths are often
needed in musculoskeletal models? A starting point would be to see what
OpenSim has and what is most commonly used in OpenSim models. If we support
the most common types from OpenSim, that would be a good starting point.

Jason
moorepants.info
+01 530-601-9791


On Tue, Mar 11, 2025 at 6:47 AM Rushabh Mehta <mehtarushabh2...@gmail.com>
wrote:

> Hello everyone,
>
> I have been contributing to SymPy and engaging with the community for a
> few months now. I’ve fixed bugs, participated in discussions, and opened
> issues. Thus I have gained some familiarity with the codebase, also I have
> been programming in Python for 2+ years.
>
> I'm interested in contributing to SymPy Mechanics for GSoC 2025,
> specifically under the project *"Classical Mechanics: Implement Wrapping
> Geometry and Pathways for Musculoskeletal Modeling" *as listed on the
> ideas page.
>
> I've been exploring and studying the existing WrappingCylinder and
> WrappingSphere classes, as well as the LinearPathway and ObstaclePathway. I
> believe a valuable addition would be:
>
>    1. *WrappingEllipsoid* and *WrappingCone*: These can model more
>    complex muscle wrapping geometries around bones/joints, extending the
>    current wrapping surfaces.
>    2. *GeodesicPathway*: This pathway would compute the shortest path
>    along a curved surface (any instance of a wrapping geometry) between two
>    attachment points, capturing more realistic muscle routing in biomechanical
>    models.
>
> *Implementation Plan:*
>
>    - *WrappingEllipsoid & WrappingCone:*
>       - Extend the existing WrappingGeometryBase class, ensuring all the
>       required methods are implemented.
>       - Define parametric equations for the surfaces and add methods to
>       compute geodesic lengths and end vectors.
>          - *GeodesicPathway:*
>       - Implement a general GeodesicPathway class that computes the
>       shortest path along a surface (geometry) given two attachment points.
>       - Use differential geometry principles to compute geodesic
>       equations and solve them symbolically using SymPy’s dsolve.
>       - Integrate force calculation along the geodesic (similar to
>       LinearPathway.to_loads method) so that it can be used to generate 
> equations
>       of motion with Kane/Langrange method.
>       - Ensure it can interact with any WrappingGeometry object.
>
> As with any software development endeavor, these additions will be
> accompanied by exhaustive tests, documentation and example usage.
>
> I think these additions could significantly enhance the biomechanics
> modeling capabilities of SymPy, especially for musculoskeletal simulations.
>
> I'd love to hear any feedback, especially on:
>
>    - The feasibility of computing geodesics symbolically especially in
>    more complicated scenarios using dsolve.
>    - Anything I may have overlooked.
>    - Any suggestions on aligning this work with SymPy's current design.
>
> Would this contribution align well with SymPy's current roadmap? I'm open
> to any guidance or suggestions to refine my approach.
>
> Thanks!
> Rushabh Mehta
>
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