International Journal of Applied Mathematics and Numerical Research  |  ISSN (Online): 3107-7110  |  Double-Blind Peer Review  |  Open Access  |  CC BY 4.0

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     2026:2/5

International Journal of Applied Mathematics and Numerical Research

ISSN: (Print) | 3107-7110 (Online) | Open Access

Phenotype-Structured Modelling of Tumour Plasticity and Drug Resistance under Adaptive Therapy

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Abstract

Background: Drug resistance is promoted by intratumour heterogeneity and reversible plasticity, while many adaptive-therapy models divide tumours into only sensitive and resistant compartments. 
Methods: A non-local phenotype-structured advection-diffusion-reaction model was coupled to drug exposure, toxicity and feedback treatment. Positivity, boundedness, moment dynamics and an instantaneous fitness optimum were derived. A conservative positivity-preserving finite-volume method compared continuous, fixed intermittent, burden-adaptive and phenotype-aware therapy. 
Results: In synthetic experiments, progression occurred at 618.5, 668.5, 742.75 and 762.5 days, respectively. Phenotype-aware feedback prolonged control by 23.3% relative to continuous treatment while using 15.3% fewer treatment-equivalent days. Across 160 Latin hypercube parameter sets, median progression times were 1.67, 1.72, 1.94 and 2.03 years. Grid refinement showed convergent burden and mean-phenotype estimates without negative densities. 
Conclusion: Phenotype information can improve adaptive decisions when plasticity and resistance costs materially affect future response. The framework is methodological and requires tumour-specific calibration before clinical use. 
 

How to Cite This Article

Philipus N Nangolo (2026). Phenotype-Structured Modelling of Tumour Plasticity and Drug Resistance under Adaptive Therapy . International Journal of Applied Mathematics and Numerical Research (IJAMNR), 2(5), 12-21.

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