Parameter estimation in differential equation models is a critical endeavour in the mathematical modelling of dynamic systems. Such models, represented by ordinary differential equations (ODEs), ...
Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...
Cancer is viewed as a multistep process whereby a normal cell is transformed into a cancer cell through the acquisition of mutations. We reduce the complexities of cancer progression to a simple set ...
An applied mathematician at UT has developed a partial differential equation model to find the desired flow rate to reduce invasive populations. The model is detailed in a new paper by Suzanne Lenhart ...
Last year, MIT developed an AI/ML algorithm capable of learning and adapting to new information while on the job, not just during its initial training phase. These “liquid” neural networks (in the ...
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This is a preview. Log in through your library . Abstract In this paper we derive large time solutions of the partial differential equations modelling contaminant transport in porous media for initial ...