Domain growth is a key process in many areas of biology and, as a result, mechanisms for incorporating it into traditional models  are of great importance. Previous methods that have been used in order to include domain growth to on-lattice reaction-diffusion models cause a build up of particles on the boundaries of the domain, which is particularly obvious when diffusion is low  . Here, we present a new method that addresses this problem , and demonstrate that it is accurate even for scenarios in which the previous method fails  .
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 .
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, including embryonic development, the growth of tissue, and limb regeneration. As
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for cell movement, interaction, and proliferation
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Previous methods that have been used
A previously well-used method
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include domain growth to
incorporate domain growth into
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cause
causes
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obvious
evident
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in comparison to the rate of domain growth
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that addresses this problem
which addresses this unphysical build up of particles at the boundaries
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. Further, we discuss for which parameter regimes it is feasible to continue using the original method due to diffusion dominating the domain growth mechanism