New sector morphologies emerge from anisotropic colony growth
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914334399004672 |
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| author | Swartz, Daniel W. Lee, Hyunseok Kardar, Mehran Korolev, Kirill S. |
| author_facet | Swartz, Daniel W. Lee, Hyunseok Kardar, Mehran Korolev, Kirill S. |
| contents | Competition during range expansions is of great interest from both practical and theoretical view points. Experimentally, range expansions are often studied in homogeneous Petri dishes, which lack spatial anisotropy that might be present in realistic populations. Here, we analyze a model of anisotropic growth, based on coupled Kardar-Parisi-Zhang and Fisher-Kolmogorov-Petrovsky-Piskunov equations that describe surface growth and lateral competition. Compared to a previous study of isotropic growth, anisotropy relaxes a constraint between parameters of the model. We completely characterize spatial patterns and invasion velocities in this generalized model. In particular, we find that strong anisotropy results in a distinct morphology of spatial invasion with a kink in the displaced strain ahead of the boundary between the strains. This morphology of the out-competed strain is similar to a shock wave and serves as a signature of anisotropic growth. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_19478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New sector morphologies emerge from anisotropic colony growth Swartz, Daniel W. Lee, Hyunseok Kardar, Mehran Korolev, Kirill S. Pattern Formation and Solitons Biological Physics Populations and Evolution Competition during range expansions is of great interest from both practical and theoretical view points. Experimentally, range expansions are often studied in homogeneous Petri dishes, which lack spatial anisotropy that might be present in realistic populations. Here, we analyze a model of anisotropic growth, based on coupled Kardar-Parisi-Zhang and Fisher-Kolmogorov-Petrovsky-Piskunov equations that describe surface growth and lateral competition. Compared to a previous study of isotropic growth, anisotropy relaxes a constraint between parameters of the model. We completely characterize spatial patterns and invasion velocities in this generalized model. In particular, we find that strong anisotropy results in a distinct morphology of spatial invasion with a kink in the displaced strain ahead of the boundary between the strains. This morphology of the out-competed strain is similar to a shock wave and serves as a signature of anisotropic growth. |
| title | New sector morphologies emerge from anisotropic colony growth |
| topic | Pattern Formation and Solitons Biological Physics Populations and Evolution |
| url | https://arxiv.org/abs/2405.19478 |