| Autor: |
Evans, Alistair R., Pollock, Tahlia I., Cleuren, Silke G. C., Parker, William M. G., Richards, Hazel L., Garland, Kathleen L. S., Fitzgerald, Erich M. G., Wilson, Tim E., Hocking, David P., Adams, Justin W. |
| Rok vydání: |
2021 |
| Předmět: |
|
| DOI: |
10.6084/m9.figshare.14337649.v1 |
| Popis: |
Additional file 1: Figure S1. Vertebrate teeth show power cascade growth. Figure S2. Power cascade shapes are characterized as surfaces of revolution for power functions, with variables Slope, Intercept and MaxDistance. Figure S3. Alternative sampling intervals along an elephant Loxodonta africana NMV C30765 tusk. Figure S4. Two ways in which tooth can deviate from linear power cascade: tip offset and missing tip. Figure S5. Power cascade shapes are self-similar curves. Figure S6. In silico tooth development models do not produce cusps that closely approximate power cascade found in natural teeth. Figure S7. Logarithmic spiral, shell model, power cascade model and power spiral model. Figure S8. Pointed structures in vertebrates, invertebrates and plants show power cascade growth. Figure S9. Prickle growth in roses causes deviation from power cascade growth. Figure S10. Power cascade interface implemented in Mathematica for generating biological shapes using power cascade and logarithmic spiral. Figure S11. Graphical abstract – Power cascade combined with the logarithmic spiral can generate many biological shapes. Table S1. Number of species, specimens and structures in each class for all structures (teeth and non-teeth) measured in this study. Table S2. Number of species, specimens and teeth/cusps in each class for all teeth measured in this study. Table S3. Number of species, specimens and teeth/cusps in each mammalian order for all teeth measured in this study. Table S4. Number of species, specimens and non-tooth structures in each class for all non-tooth structures measured in this study. Table S5. Number of species, specimens and structures for each type of structure measured in this study. Supplementary Discussion. Resampling of power cascade variables. Effect of tip offset on power cascade linear pattern. Supplementary Equations. Derivation of power cascade growth mechanism. Mathematica implementation of power cascade model. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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