Ariel Ramirez Torres

Roles & Affiliations: Dr. Ariel Ramirez Torres is a Lecturer in Mathematics at the University of Glasgow's School of Mathematics & Statistics. He specializes in mathematical modeling of biological systems and material science, with a focus on biomedical applications. His research integrates continuum mechanics and asymptotic homogenization techniques to study complex biological phenomena and composite materials.

• Research Groups: Continuum Mechanics, Mathematical Biology
• Teaching: Currently instructs MATHEMATICS 2B: LINEAR ALGEBRA (MATHS2004).

Research Interests: Dr. Ramirez Torres' work spans two main areas:
1. Mathematical modeling of biomechanical processes (e.g., tumor growth dynamics, vascular tissue mechanics).
2. Multiscale analysis of heterogeneous materials, including viscoelastic composites and scale-dependent material behavior.

His recent studies emphasize non-local diffusion models in avascular tumors, homogenization techniques for porous media, and fractional calculus applications in fluid dynamics.

Grants & Funding:

• EPSRC ECR International Collaboration Grant (EP/Y001583/1): £77,599 (Principal Investigator)
• SoftMech New Collaboration Fund: £1,500 (Principal Investigator)

PhD Supervision:

• Mariam Al Mudarra: Non-local effects in tumor progression
• Alejandro Roque Piedra: Electro-diffusion in nervous tissues
• Zita Fulop: Fluid transport in electrophoresis-treated tumors
• Alenezi Abdulrahman: Myocyte-fibroblast coupling in myocardial scars

Conferences Organized:

• ELACTAM 2024 Workshop: Brain Dynamics through Modelling, Numerics, and Experiments
• ELACTAM 2026 Conference: Multiscale Brain Modelling and Beyond

Labs/Teams: Collaborates within interdisciplinary teams at the School of Mathematics & Statistics, focusing on multiscale modeling and computational mechanics.