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Updated: Jul 6, 2025

Establishment and Histological Analysis of Esophageal Organoids Modeling the Progression from Normal to Cancerous Tissues
Published on: May 30, 2025
A robust optimal control framework for controlling aberrant RTK signaling pathways in esophageal cancer
Souvik Roy1, Zui Pan2, Naif Abu Qarnayn3
1Department of Mathematics, The University of Texas at Arlington, Arlington, TX, 76019-0407, USA. souvik.roy@uta.edu.
Abstract:
This study presents a new framework for obtaining personalized optimal treatment strategies targeting aberrant signaling pathways in esophageal cancer, such as the epidermal growth factor (EGF) and vascular endothelial growth factor (VEGF) signaling pathways. A new pharmacokinetic model is developed taking into account specific heterogeneities of these signaling mechanisms. The optimal therapies are designed to be obtained using a three step process. First, a finite-dimensional constrained optimization problem is solved to obtain the parameters of the pharmacokinetic model, using discrete patient data measurements. Next, a sensitivity analysis is carried out to determine which of the parameters are sensitive to the evolution of the variants of EGF receptors and VEGF receptors. Finally, a second optimal control problem is solved based on the sensitivity analysis results, using a modified pharmacokinetic model that incorporates two representative drugs Trastuzumab and Bevacizumab, targeting EGF and VEGF, respectively. Numerical results with the combination of the two drugs demonstrate the efficiency of the proposed framework.
Insights
This study introduces a new framework for personalized esophageal cancer treatment, optimizing therapies for epidermal growth factor (EGF) and vascular endothelial growth factor (VEGF) pathways using a novel pharmacokinetic model and drug combinations.
Area of Science:
- Oncology
- Pharmacology
- Computational Biology
Background:
- Esophageal cancer treatment faces challenges due to aberrant signaling pathways like epidermal growth factor (EGF) and vascular endothelial growth factor (VEGF).
- Personalized treatment strategies are needed to effectively target these specific signaling mechanisms and account for patient heterogeneities.
Purpose of the Study:
- To develop a novel framework for personalized optimal treatment strategies in esophageal cancer.
- To create a pharmacokinetic model that incorporates patient-specific heterogeneities in EGF and VEGF signaling.
- To design and validate optimal therapies using a multi-step computational approach.
Main Methods:
- Developed a pharmacokinetic model accounting for signaling pathway heterogeneities.
- Employed a three-step process involving constrained optimization, sensitivity analysis, and optimal control.
- Utilized discrete patient data for model parameter estimation.
- Incorporated Trastuzumab (anti-EGF) and Bevacizumab (anti-VEGF) into the model for therapy simulation.
Main Results:
- Successfully identified key sensitive parameters in EGF and VEGF receptor evolution through sensitivity analysis.
- Demonstrated the framework's ability to derive optimal treatment strategies.
- Numerical results showed the efficiency of combining Trastuzumab and Bevacizumab for targeted therapy.
Conclusions:
- The proposed framework offers a promising approach for personalized treatment of esophageal cancer.
- The novel pharmacokinetic model and optimization strategy effectively target aberrant EGF and VEGF signaling pathways.
- Combination therapy with Trastuzumab and Bevacizumab shows significant potential based on computational modeling.
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