What Comes First: The Egg or the Mathematics? Review Article

Narushin, Valeriy G.; Romanov, Michael N; Griffin, Darren K.

doi:10.1134/s1062359022602701

Cited by 2 publications

(1 citation statement)

References 9 publications

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“…shaped lunar habitat structures 35 and modeling broad-line regions when studying supermassive black holes 36 ; (v) computer games 37 ; and even (vi) interest in its inclusion in the school curriculum in mathematics as an adapted version of our research. 38 Such unexpected, but welcome, popularity encouraged us to evaluate more seriously the universal formula and its ramifications.…”

Section: Introductionmentioning

confidence: 99%

A novel approach to egg and math: Improved geometrical standardization of any avian egg profile

Narushin,

Orszulik,

Romanov

et al. 2023

Annals of the New York Academy of Sciences

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Developing a geometric formulation of any biological object has a number of justifications and applications. Recently, we developed a universal geometric figure for describing a bird's egg in any of the possible basic shapes: spherical, ellipsoidal, ovoid, and pyriform. The formulation proved widely applicable but had a number of drawbacks, including a very obvious join between two parts of the egg. To correct this, we developed the Main Axiom of the universal mathematical formula. This essentially involved making the ordinate of the extremum of the function correspond to half the maximum egg breadth (B), and the abscissa to the reciprocal of the parameter w that reflects the shift of the vertical axis to its coincidence with B. This, in turn, helped us develop a new, simplified mathematical model without a nonbiological join. Experimental verification was performed to confirm the adequacy of the new geometric figure. It accurately described actual avian eggs of various shapes more closely than our previous model. To the best of our knowledge, our new, simplified equation can be applied as a standard for any bird egg that exists in nature. As a rather simple equation, it can be used in a broad range of applications.

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Section: Introductionmentioning

confidence: 99%

A novel approach to egg and math: Improved geometrical standardization of any avian egg profile

Narushin,

Orszulik,

Romanov

et al. 2023

Annals of the New York Academy of Sciences

Self Cite

View full text Add to dashboard Cite

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Pear‐Shaped Eggs Evolved to Maximize the Surface Area‐to‐Volume Ratio, Increase Metabolism, and Shorten Incubation Time in Birds

Narushin,

Romanov,

Griffin

2024

Integr. Zool.

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Bird eggs can be spherical, ellipsoid, ovoid, or pear‐shaped (pyriform), the latter being the most complex. There is however no unambiguous evolutionary/adaptive explanation for this final, exotic shape. We hypothesized that pyriform eggs have a larger surface area‐to‐volume ratio (S/V) that may be a criterion for increased embryo metabolism. By integrating mathematical approaches, we confirmed this to be the case and developed a model of the egg metabolic rate defined as the ratio of S/V to its maximum possible value, depending on egg length. We found this to be inversely proportional to the egg incubation period and concluded that the complex pyriform shape is most likely due to embryo metabolism increase and, as a result, a reduction in the incubation period and shortened hatching time. As a result of this study, we conclude that some avian eggs are pyriform as this may attain a larger S/V ratio making them grow and hatch quicker.

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What Comes First: The Egg or the Mathematics? Review Article

Cited by 2 publications

References 9 publications

A novel approach to egg and math: Improved geometrical standardization of any avian egg profile

A novel approach to egg and math: Improved geometrical standardization of any avian egg profile

Pear‐Shaped Eggs Evolved to Maximize the Surface Area‐to‐Volume Ratio, Increase Metabolism, and Shorten Incubation Time in Birds

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