Left ventricular myocardium of heart as a 3D scheme

TL;DR

This paper proposes representing the human heart's myocardium as a 3D scheme using algebraic geometry, aiming to model fiber structures and movements within a rigorous mathematical framework.

Contribution

It introduces a novel approach of modeling the heart's myocardium as a 3D scheme based on algebraic equations, bridging geometry and cardiac structure analysis.

Findings

Potential to model myocardial fibers mathematically

Framework for analyzing fiber movements as schemes

Encourages further research into scheme-based cardiac modeling

Abstract

In this paper it will be shown that according to the scheme theory in algebraic geometry, human heart as an elastic body can be represented as a 3D scheme, on account of algebraic equations of the myocardial fibers as the local parts of the global scheme. It is possible that the fiber movements to be discussed here are identical with the so-called "myocardial fiber transactions"; however the information available to me regarding the latter is lacking in precision, that I can from no judgment in the matter. It is hoped that some enquirer may succeed shortly in this introduced scheme suggested here, which is so important in connection with the theory of schemes.