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Cell-based allometry: an approach for evaluation of complexity in morphogenesis.
Ali Tarihi1, Mojtaba Tarihi2, Taki Tiraihi3
1Department of Computer Engineering Faculty of Computer Science and Engineering Shahid Behshti University Tehran 19839-69411 Iran.
Quantitative Biology (Beijing, China)
|February 12, 2026
Summary
Cellular allometry quantifies developmental complexity in embryos. This study introduces a novel method using Cartesian coordinates to calculate allometric coefficients and complexity indices, successfully applied to Caenorhabditis elegans development.
Area of Science:
- Developmental Biology
- Cell Biology
- Quantitative Biology
Background:
- Morphogenesis is a complex biological process occurring at multiple levels.
- Evaluating cellular-level allometry is crucial for understanding development.
- This study focuses on quantifying cellular allometry during embryonic development.
Purpose of the Study:
- To evaluate allometry at the cellular level during embryonic development.
- To introduce a novel method for calculating allometric coefficients and complexity indices.
- To test the applicability of the method on a developing Caenorhabditis elegans embryo.
Main Methods:
- Utilized time-lapse Cartesian coordinates of cell centers to calculate allometric coefficients.
- Generated a zero-centroaxial skew-symmetrical matrix (CSSM) and a basic square matrix (BSM).
- Calculated the determinant of BSM, plotted the logarithm of absolute determinants (Lad) against development stages to estimate the allometric coefficient and lineage growth rate (LGR).
Main Results:
- Applied the method to two lineages (ABp and EMS) of the C. elegans embryo.
- Found that the ABp lineage exhibited a higher allometric coefficient compared to the EMS lineage.
- Observed consistency between the allometric coefficient, complexity index, and LGR for both lineages.
Conclusions:
- Cellular complexity in developing embryos can be quantitatively assessed using allometric scaling.
- The proposed method, based on Cartesian coordinates, provides a robust way to evaluate cellular dynamics.
- This approach offers new insights into the intricate processes of morphogenesis.
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