29 papers
A transport-only null model for apparent heterogeneity in diffusively dosed organoid arrays
Jiguang Yu, Louis Shuo Wang
Spatial transport can create apparent biological heterogeneity even when organoids are intrinsically identical. We develop a transport-to-phenotype null model for diffusively dosed…
From Flows to Maps: Sampling Laws for Attractor Intensity and Bounded-Noise Escape
Jiguang Yu, Louis Shuo Wang
Intensity of attraction quantifies the largest amplitude of a persistent bounded disturbance that an attractor can withstand without loss of controlled confinement in its basin. Al…
Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability
Zonghao Liu, Jiguang Yu, Lei Su +3
Spatial tumour--immune heterogeneity is a key feature of solid-tumour progression, immune infiltration, and immune exclusion. We develop a computational oncology model in which tum…
Optimal Harvesting of Size-Structured Populations with Environmental Feedback and Fixed Recruitment Flux
Louis Shuo Wang, Jiguang Yu
We study a nonlinear size-structured transport model with distributed harvesting and prescribed recruitment flux, where environmental feedback is determined by a scalar population…
Endogenous Feedback in Size-Structured Transport Equations
Jiguang Yu, Louis Shuo Wang
We study a nonlinear size-structured transport equation where the endogenous scalar output feeds back into velocity and mortality. This princ…
Fredholm--residue selection of the unsteady Kutta amplitude
Jiguang Yu, Louis Shuo Wang
We give an operator-theoretic interpretation of unsteady Kutta selection in trailing-edge acoustic receptivity. The inviscid acoustic--wake problem leaves one outgoing wake amplitu…