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Conjectured proportionality between biophoton emission rate and logistic growth derivative

Establish whether, during seed germination, the biophoton emission rate is proportional to the time derivative of the cell population as described by the logistic growth equation, thereby validating or refuting this proposed modeling relationship.

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Background

To compare emissions from different seeds (lentils and a single bean), the authors analyze growth using the logistic equation and align emission peaks via time rescaling. They propose that biophoton emission tracks the growth dynamics, specifically the rate of change of cell number.

Validating this conjecture would provide a mechanistic link between organismal growth dynamics and observed emission profiles, enabling model-based interpretation and cross-system comparisons.

References

We make the conjecture that the rate of biophoton emission is proportional to the derivative of the number of cells, i.e. to 𝑛(𝑡):

Biophotons: A Hard Problem (2401.17166 - Paolis et al., 30 Jan 2024) in Section 2 (Methods and Experimental Data), around Eq. (3)