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Updated: Jun 17, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Biosupersymmetry.
1Department of Theoretical Chemistry, Faculty of Chemistry, A. Mickiewicz University of Poznań, ul. Grunwaldzka 6, Poznań, Poland. Marcin@rovib.amu.edu.pl
Biological growth, modeled by Gompertz and West-Brown-Enquist functions, exhibits space-like supersymmetric quantum mechanics properties. This reveals a quantum basis for biological growth and drug-induced transformations.
Area of Science:
- Theoretical Physics
- Mathematical Biology
- Quantum Mechanics
Background:
- Biological growth models like Gompertz and West-Brown-Enquist functions are widely used.
- Quantum mechanics principles are typically applied to subatomic particles, not macroscopic biological systems.
- The concept of supersymmetry in physics involves symmetries between fermions and bosons.
Purpose of the Study:
- To explore biological growth within the framework of space-like supersymmetric quantum mechanics.
- To identify potential quantum mechanical analogues for biological processes.
- To investigate the relationship between quantum effects and drug-induced biological changes.
Main Methods:
- Applying space-like supersymmetric quantum mechanics to Gompertz and West-Brown-Enquist growth functions.
- Analyzing the fermion-boson conversion analogy in biological systems.
- Investigating growth-regression transformations under drug influence.
Main Results:
- Demonstrated that biological growth can be described using space-like supersymmetric quantum mechanics.
- Identified a biological analogue for the fermion-boson conversion effect: growth-regression transformation.
- Showed this transformation can occur under constant concentration of cycle-non-specific drugs.
Conclusions:
- Biological growth exhibits macroscopic quantum phenomena with space-like supersymmetric properties.
- These findings establish a novel link between quantum mechanics and biology/medicine.
- Suggests potential for new therapeutic strategies based on quantum principles.
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