Modified Linear Noise Approximation using centre manifold theory enables accurate long-term simulations of non-linear stochastic population dynamics while retaining computational efficiency.
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Multi-stage volume-exclusion agent-based models for cell proliferation are introduced with myopic proliferation behavior, along with their mean-field PDE approximations, and compared via simulations in growth-to-confluence and travelling-wave invasion settings.
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Simulating stochastic population dynamics: The Linear Noise Approximation can capture non-linear phenomena
Modified Linear Noise Approximation using centre manifold theory enables accurate long-term simulations of non-linear stochastic population dynamics while retaining computational efficiency.
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Multi-stage volume exclusion models for cell proliferation
Multi-stage volume-exclusion agent-based models for cell proliferation are introduced with myopic proliferation behavior, along with their mean-field PDE approximations, and compared via simulations in growth-to-confluence and travelling-wave invasion settings.