Multiscale analysis of electrically stimulated vascularised tumours

Area of Science:

• Biophysics
• Mathematical Oncology
• Biomedical Engineering

Background:

• Electroporation-based therapies, including electrochemotherapy (ECT), show promise for cancer treatment.
• Current models for deep-seated tumors using ECT face challenges due to complex microstructural properties and lack of multiscale frameworks.
• Understanding the interplay between tissue microstructure and macroscale dynamics is crucial for advancing ECT.

Purpose of the Study:

• To develop a novel multiscale theoretical framework for modeling tumor response to electric fields in ECT.
• To derive effective macroscale equations that incorporate microscale hydraulic and electric heterogeneities.
• To investigate the influence of tumor characteristics and electric fields on interstitial fluid flow.

Main Methods:

• Development and solution of a novel system of coupled partial differential equations using asymptotic homogenization.
• Derivation of effective macroscale equations for pressure, velocity, and electric potential.
• Parametric analysis of the hydraulic conductivity tensor and numerical simulations of macroscale fields.

Main Results:

• The coupled multiscale approach effectively bridges tumor microstructure and macroscale dynamics.
• Demonstrated the significant role of the electric field in modulating interstitial fluid flow within tumors.
• Provided insights into how tumor size, morphology, and hydraulic-electrical interactions influence fluid dynamics.

Conclusions:

• The developed model offers a more comprehensive understanding of ECT mechanisms in deep-seated tumors.
• Findings provide valuable insights for optimizing and advancing electrochemotherapy treatment protocols.
• The multiscale framework represents a significant step towards personalized cancer therapy using electroporation.