arXiv subjects

Rui Yue

Publications and source records attributed to Rui Yue.

3 recordsLinked to original sources

arXiv2026

Modeling tumor cell heterogeneity and plasticity in adaptive therapy

Adaptive therapy (AT) is designed to postpone the emergence of drug resistance by exploiting evolutionary competition among tumor subclones. Most mathematical models of AT assume a binary population structure of drug-sensitive and drug-resistant cells, which neglects the continuous nature of phenotypic plasticity. In this study, we propose a mathematical model that integrates a continuous drug susceptibility index with a probabilistic inheritance function to describe clonal dynamics under therapy. The resulting integro-differential system generalizes traditional two-type competition models and captures both heterogeneity and plasticity of tumor cells. Analytical and numerical studies show that (i) continuous therapy drives rapid expansion of resistant clones, (ii) adaptive therapy maintains long-term tumor control by dynamically regulating sensitive populations, and (iii) high phenotypic plasticity accelerates phenotype switching, leading to earlier tumor relapse following continuous therapy. These results identify critical parameter regimes where adaptive therapy outperforms fixed regimens and highlight the essential role of plasticity in shaping treatment outcomes. The proposed framework provides a more realistic mathematical foundation for the design of clinically relevant adaptive therapy strategies.

q-bio.PE↗

arXiv2025

A Dynamic Bus Lane Strategy for Integrated Management of Human-Driven and Autonomous Vehicles

This study introduces a dynamic bus lane (DBL) strategy, referred to as the dynamic bus priority lane (DBPL) strategy, designed for mixed traffic environments featuring both manual and automated vehicles. Unlike previous DBL strategies, this approach accounts for partially connected and autonomous vehicles (CAVs) capable of autonomous trajectory planning. By leveraging this capability, the strategy grants certain CAVs Right of Way (ROW) in bus lanes while utilizing their leading effects in general lanes to guide vehicle platoons through intersections, thereby indirectly influencing the trajectories of other vehicles. The ROW allocation is optimized using a mixed-integer linear programming (MILP) model, aimed at minimizing total vehicle travel time. Since different CAVs entering the bus lane affect other vehicles travel times, the model incorporates lane change effects when estimating the states of CAVs, human-driven vehicles (HDVs), and connected autonomous buses (CABs) as they approach the stop bar. A dynamic control framework with a rolling horizon procedure is established to ensure precise execution of the ROW optimization under varying traffic conditions. Simulation experiments across two scenarios assess the performance of the proposed DBPL strategy at different CAV market penetration rates (MPRs).

math.OC↗

arXiv2024

A Lane Usage Strategy for General Traffic Access on Bus Lanes under Mixed Traffic Environment

The strategy of permitting general traffic to use the bus lane for improved utilization while ensuring bus priority has gained increasingly attention, particularly with the support of vehicle-to-everything technology. In this study, we propose a novel lane usage strategy called Dynamic Spatial-Temporal Priority (DSTP) to ensure bus priority and optimize bus lane usage in a mixed traffic environment. DSTP leverages dynamic methods to identify available spatial-temporal resources in the lane, utilizing signal timing, road information, and vehicle data. A Right-of-Way assignment optimization model is then developed based on these resources to determine which vehicles can enter the bus lane. The model is dynamically enacted using a rolling horizon scheme to accommodate time-varying traffic conditions. Numerical studies have validated the advantages of DSTP, showing maintained bus priority, improved traffic efficiency, reduced fuel consumption, and lower CO2 emissions, especially during periods of high traffic demand and concentrated bus arrivals.

math.OC↗