A5003698448- Mathematical Biology Tumor Growth
- Cellular Mechanics and Interactions
- Microtubule and mitosis dynamics
- Advanced Mathematical Modeling in Engineering
- Granular flow and fluidized beds
- Particle Dynamics in Fluid Flows
- Tribology and Lubrication Engineering
University College London
2025
University of Nottingham
2021-2023
<title>Abstract</title> Lubricating fluid motion is analysed in the context of Stokes flow through a channel containing freely moving, relatively dense particle. The typical particle thickness finite fraction width, whereas longitudinal length scale larger, with having otherwise arbitrary shape. dynamics gaps are coupled motion. Analysis and numerical results show that direct ’impact’ can occur wall within time; however, strictly this represents onset impact, yielding new local physics....
We derive a multiphase, moving boundary model to represent the development of tissue in vitro porous engineering scaffold. consider cell, extra-cellular liquid and rigid scaffold phase, adopt Darcy's law relate velocity cell phases their respective pressures. Cell-cell cell-scaffold interactions which can drive cellular motion are accounted for by utilising relevant constitutive assumptions pressure phase. reduce nonlinear reaction-diffusion equation coupled condition edge, diffusivity being...
Abstract We employ the multiphase, moving boundary model of Byrne et al. (2003, Appl. Math. Lett., 16, 567–573) that describes evolution a motile, viscous tumour cell phase and an inviscid extracellular liquid phase. This comprises two partial differential equations govern volume fraction velocity, together with condition for edge, here we characterize analyse its travelling-wave pattern-forming behaviour. Numerical simulations indicate patterned solutions can be obtained, which correspond...
Abstract We analyse a multiphase, moving boundary model that describes solid tumour growth. consider the evolution of motile, viscous cell phase and an inviscid extracellular liquid phase. The comprises two partial differential equations govern volume fraction velocity, together with condition for edge. Numerical simulations indicate patterned solutions can be obtained, which correspond to multiple regions high density separated by low density. In other parameter regimes, develop into...
Abstract We derive a multiphase, moving boundary model to represent the development of tissue in vitro porous engineering scaffold. consider cell, extra-cellular liquid and rigid scaffold phase, adopt Darcy’s law relate velocity cell phases their respective pressures. Cell-cell cell-scaffold interactions which can drive cellular motion are accounted for by utilising relevant constitutive assumptions pressure phase. reduce nonlinear reaction-diffusion equation coupled condition edge,...