Unbiased on-lattice domain growth
| Autor: | Cécile Mailler, Christian A. Yates, Cameron A. Smith |
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| Rok vydání: | 2019 |
| Předmět: |
Alternative methods
Reaction-diffusion master equation Domain growth Uniform growth Cell movement Quantitative Biology - Quantitative Methods 01 natural sciences 010305 fluids & plasmas FOS: Biological sciences Lattice (order) 0103 physical sciences Morphogen gradient Mesoscopic modelling Statistical physics 010306 general physics On-lattice modelling Quantitative Methods (q-bio.QM) |
| Zdroj: | Smith, C, Mailler, C & Yates, K 2019, ' Unbiased on lattice domain growth ', Physical Review E, vol. 100, no. 6, 063307 . https://doi.org/10.1103/PhysRevE.100.063307 |
| ISSN: | 2470-0053 2470-0045 |
| DOI: | 10.1103/physreve.100.063307 |
| Popis: | Domain growth is a key process in many areas of biology, including embryonic development, the growth of tissue, and limb regeneration. As a result, mechanisms for incorporating it into traditional models for cell movement, interaction, and proliferation are of great importance. A previously well-used method in order to incorporate domain growth into on-lattice reaction-diffusion models causes a build up of particles on the boundaries of the domain, which is particularly evident when diffusion is low in comparison to the rate of domain growth. Here, we present a new method which addresses this unphysical build up of particles at the boundaries, and demonstrate that it is accurate even for scenarios in which the previous method fails. Further, we discuss for which parameter regimes it is feasible to continue using the original method due to diffusion dominating the domain growth mechanism. 23 pages, 10 figures |
| Databáze: | OpenAIRE |
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