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Biomathematical modeling for diluted drugs.

S Chattopadhyay¹

¹Department of Zoology, BKC College, Calcutta, India.

Medical Hypotheses

|June 5, 2003

Summary

Homeopathic preparations, even at extreme dilutions beyond molecular presence, can induce physiological effects. This is explained by a mathematical model involving solution homogeneity and increased dielectric constant during potentization.

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Area of Science:

Homeopathy
Pharmacology
Physical Chemistry

Background:

Ultra-high dilutions of drug molecules in water or alcohol can cause physiological changes.
Homeopathic drugs involve serial centesimal dilution of ingredients in distilled water and ethanol.
The presence of drug molecules in ultra-high dilutions challenges conventional understanding.

Purpose of the Study:

To propose a mathematical model explaining the non-molecular presence of drugs in ultra-high dilutions.
To elucidate the mechanism behind physiological alterations induced by homeopathic preparations.

Main Methods:

Development of a mathematical model for drug dilution.
Analysis of solution homogeneity and dielectric constant changes during potentization.
Hypothesizing interactions between drug molecules and protein factors.

Main Results:

The proposed model explains the persistence of drug presence beyond the Avogadro number.
Loss of solution homogeneity and increased dielectric constant are key factors in potentization.
Facilitated binding with protein factors is suggested as the cause of physiological effects.

Conclusions:

Homeopathic dilutions may retain biological activity due to physicochemical changes in the solution.
The model provides a scientific basis for understanding homeopathic drug action.
Further research into drug-protein interactions in diluted solutions is warranted.

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