10 papers · 1 filter
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…
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…
Vital-Rate Feedback and Threshold Harvesting in Size-Structured Populations
Louis Shuo Wang
Size-selective harvesting is often justified by the intuition that larger individuals have higher value and should therefore be harvested above a critical size. We study a controll…
A Measure-Valued Obstacle Problem for an Obliquely Reflected Diffusion with a Max-Type Payoff
Louis Shuo Wang, Jiguang Yu, Ye Liang
We study an obliquely reflected optimal stopping problem in the nonnegative quadrant with nonsmooth max-type payoff \(G(x)=x_1\veeαx_2\), and we develop a measure-valued potential…