Physical Sciences and Mathematics Commons^™

Numerical Simulation And Graphical Analysis Of In Vitro Benign Tumor Growth: Application Of Single-Particle State Bosonic Matter Equation With Length Scaling, Pradip K. Biswas, Jiansen Niu, Tobias Frederico, Valentin Gogonea

Chemistry Faculty Publications

We describe the application of a non-linear single-particle state bosonic condensate equation to simulate multicellular tumor growth by treating it as a coupling of two classical wave equations with real components. With one component representing the amplitude of the cells in their volume growth phase and the other representing the amplitude of the cells in their proliferation or mitosis phase, the two components of the coupled equation feed each other during the time evolution and are coupled together through diffusion and other linear and non-linear terms. The features of quiescent and necrotic cells, which result from poor nutrient diffusion into …