MORTEZA GARSHASBI

Applied mathematician and computational scientist with 17+ years of post‑doctoral research experience specializing in partial differential equations, inverse problems, and numerical modeling. Strong record of high‑impact publications in computational mathematics, biomedical modeling, drug‑delivery systems, and cancer dynamics. Extensive experience developing mathematical models, designing numerical algorithms, and collaborating with interdisciplinary teams in engineering, medicine, and applied sciences.

• Modeling drug-delivery systems using nonlinear and moving-boundary PDEs.
• Developing tumor growth and treatment-response models using reaction-diffusion PDEs.
• Applying inverse problem techniques to estimate hidden biological and physical parameters.
• Designing numerical algorithms for fractional diffusion and anomalous transport.

• Numerical Investigation of a Nonlinear Time-Fractional Moving Boundary Model, 2025
• Black-Scholes American Call Option Model, 2025
• Cylindrical Moving Boundary Problem in DCIS, 2024
• Time-Fractional Moving Boundary Diffusion Model, 2023
• Moving Boundary Problem in Swelling Drug Release Platforms, 2022
• Full publication list available upon request or via Google Scholar.

• Probability and Statistics for Engineers, 2009
• Applied Mathematics, 2011
• Ordinary Differential Equations, forthcoming
• Numerical Solution of ODEs, 2021

• Reviewer for Mathematical Reviews, IJNAO, IJCM, CM&A, and others
• President, Research Group of Inverse Problems and Applications
• Organizer of seminars and research workshops in applied mathematics

• Outstanding Researcher, Damghan University, 2010
• Young Assistant Grant, $25,000, 2010
• Member, Iranian National Elite Institute, 2009
• Outstanding Ph.D. Student, IUST, 2008
• First-Class Honors
• B.Sc.
• M.Sc.
• Ph.D.

• PDE-based modeling of physical, industrial, and biomedical systems
• Inverse problems & parameter estimation
• Drug-delivery system modeling & controlled-release mechanisms
• Cancer growth modeling & treatment-response simulation
• Fractional PDEs & moving-boundary problems
• Numerical algorithms for diffusion, heat transfer, and reaction-diffusion systems
• Computational modeling for engineering and medical applications

• Applied mathematician and computational scientist with 17+ years of post-doctoral research experience specializing in partial differential equations, inverse problems, and numerical modeling. Strong record of high-impact publications in computational mathematics, biomedical modeling, drug-delivery systems, and cancer dynamics. Extensive experience developing mathematical models, designing numerical algorithms, and collaborating with interdisciplinary teams in engineering, medicine, and applied sciences.
• Assistant Professor, Iran University of Science and Technology (IUST), Tehran, Iran, 08/2014, 08/2024, Led research programs in PDEs, inverse problems, and biomedical modeling., Developed mathematical models for drug-delivery systems, tumor growth, and diffusion processes., Published 50+ peer-reviewed papers in computational mathematics and applied modeling., Supervised graduate research (M.Sc. and Ph.D.) in PDEs, numerical analysis, and modeling., Collaborated with engineering and medical departments on interdisciplinary modeling projects.
• Assistant Professor, Damghan University, Damghan, Iran, 08/2008, 08/2013, Conducted research in PDEs, inverse problems, and numerical algorithms., Participated in research committees and contributed to departmental research strategy.