Search results for "Cancer eco-evolution"

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Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems

2023

AbstractTheoretical and applied cancer studies that use individual-based models (IBMs) have been limited by the lack of a mathematical formulation that enables rigorous analysis of these models. However, spatial cumulant models (SCMs), which have arisen from theoretical ecology, describe population dynamics generated by a specific family of IBMs, namely spatio-temporal point processes (STPPs). SCMs are spatially resolved population models formulated by a system of differential equations that approximate the dynamics of two STPP-generated summary statistics: first-order spatial cumulants (densities), and second-order spatial cumulants (spatial covariances).We exemplify how SCMs can be used i…

Cancer eco-evolutionApplied MathematicsMarkovin ketjut3122 CancersSpatial momentsMathematical oncologypopulaatiodynamiikkaAgricultural and Biological Sciences (miscellaneous)syöpäsolutIndividual-based modelsSpatio-temporal point processesModeling and Simulation111 MathematicsSannolikhetsteori och statistikonkologiamatemaattiset mallitProbability Theory and Statistics
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