Beyond Strict Physics: Using Poiseuille’s Law as a Practical Framework to Optimize and Personalize Cementoplasty

<b>Background/Objectives:</b> Poiseuille's law describes the influence of radius, length, viscosity, and pressure on the flow of Newtonian fluids. Although bone cement is a non-Newtonian, shear-thinning, and polymerizing material that does not comply with this law in any predictive or quantitative sense, its qualitative principles may offer a didactic framework for understanding factors that affect injectability during cementoplasty. The objective of this Technical Note is to provide an educational and conceptual interpretation of Poiseuille's law as it relates to trocar selection, cement behavior, and procedural planning. <b>Methods:</b> This work presents theoretical calculations based on the r<sup>4</sup>/L component of Poiseuille's equation, using manufacturer-specified internal radii for commonly used trocars. Relative flow rates were computed as r<sup>4</sup>/L ratios normalized to a 13-gauge, 15 cm trocar. Conceptual viscosity profiles illustrate qualitative differences among cements over time. A representative, fully anonymized clinical example is provided to illustrate the integration of these conceptual principles into practice. No experimental measurements were performed. <b>Results:</b> Theoretical calculations show that trocar radius has the strongest influence on theoretical flow, with an exponential effect (r<sup>4</sup>), whereas increasing trocar length proportionally reduces flow. Conceptual viscosity curves demonstrate the rapid rise in viscosity during polymerization and highlight the importance of timing and cement selection. The clinical example illustrates how trocar choice, access planning, and cement viscosity are adapted to lesion morphology and cortical integrity. <b>Conclusions:</b> Poiseuille's law cannot model or predict bone cement behavior and has no procedural or clinical validity in cementoplasty. Its use in this Technical Note is strictly educational, providing a qualitative framework to illustrate general relationships between equipment characteristics, viscosity evolution, and resistance during injection, without offering clinical guidance or implying any impact on procedural planning, safety, or outcomes.

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Journal
Journal of Personalized Medicine
Published
2026-01-08
DOI
https://doi.org/10.3390/jpm16010041
Primary Topic
Orthopaedic implants and arthroplasty
Type
article
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article

Beyond Strict Physics: Using Poiseuille’s Law as a Practical Framework to Optimize and Personalize Cementoplasty

Natalia Gorelik, J P Pelage, Vincent Habouzit, Sylvain Grange et al.
Journal of Personalized Medicine
Orthopaedic implants and arthroplasty
article

Beyond Strict Physics: Using Poiseuille’s Law as a Practical Framework to Optimize and Personalize Cementoplasty

Natalia Gorelik, J P Pelage, Vincent Habouzit, Sylvain Grange, Rémi Grange, Maxime Pastor, Nicolas Stacoffe, L.J. Boucher
article en

Abstract

<b>Background/Objectives:</b> Poiseuille's law describes the influence of radius, length, viscosity, and pressure on the flow of Newtonian fluids. Although bone cement is a non-Newtonian, shear-thinning, and polymerizing material that does not comply with this law in any predictive or quantitative sense, its qualitative principles may offer a didactic framework for understanding factors that affect injectability during cementoplasty. The objective of this Technical Note is to provide an educational and conceptual interpretation of Poiseuille's law as it relates to trocar selection, cement behavior, and procedural planning. <b>Methods:</b> This work presents theoretical calculations based on the r<sup>4</sup>/L component of Poiseuille's equation, using manufacturer-specified internal radii for commonly used trocars. Relative flow rates were computed as r<sup>4</sup>/L ratios normalized to a 13-gauge, 15 cm trocar. Conceptual viscosity profiles illustrate qualitative differences among cements over time. A representative, fully anonymized clinical example is provided to illustrate the integration of these conceptual principles into practice. No experimental measurements were performed. <b>Results:</b> Theoretical calculations show that trocar radius has the strongest influence on theoretical flow, with an exponential effect (r<sup>4</sup>), whereas increasing trocar length proportionally reduces flow. Conceptual viscosity curves demonstrate the rapid rise in viscosity during polymerization and highlight the importance of timing and cement selection. The clinical example illustrates how trocar choice, access planning, and cement viscosity are adapted to lesion morphology and cortical integrity. <b>Conclusions:</b> Poiseuille's law cannot model or predict bone cement behavior and has no procedural or clinical validity in cementoplasty. Its use in this Technical Note is strictly educational, providing a qualitative framework to illustrate general relationships between equipment characteristics, viscosity evolution, and resistance during injection, without offering clinical guidance or implying any impact on procedural planning, safety, or outcomes.

Journal of Personalized MedicineVol. 16(1)
Inserm (FR), McGill University Health Centre (CA), Royal Victoria Hospital (CA), Centre Hospitalier Universitaire de Montpellier (FR), Hôpital Lyon Sud (FR), Hôpital Lapeyronie (FR), Centre Hospitalier Universitaire de Saint-Étienne (FR), Université Jean Monnet (FR)
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Openalex Percentile: Top 94%
Orthopaedic implants and arthroplasty
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