Current Research Topics

Regenerative Medicine.
Current research topics include:
(a) Modeling interactions between platelet-like particles, fibrin matrix and cells in biomimetic systems with applications to wound healing
(b) Viscoelastic models for ultrasonic stimulation of platelet-like particles embedded in porous gels and tissues
(c) Lattice-based surrogate models for diffusive transport in structured biomaterials via direct simulation of 2D random walks

Tissue Biomechanics.
Current research topics include:
(a) Structural nonlinear elastic vessel wall models and pressure-area relations for tissue remodeling in pulmonary cardiovascular networks in the presence of hypertension
(b) Coupled emulation, model reduction and uncertainty quantification and for poroelastic models of articular cartilage biomechanics

Machine Learning and Data-Driven Modeling.
Current research topics include:
(a) Tailored unsupervised learning (UL) algorithms for dual-domain data sets aggregating attribute information with geographic location
(b) Local sensitivity-based methods for parameter identifiability analysis and model reduction in math biology
(c) Applications of UL methods and spatiotemporal clustering to public health and epidemiology

For more information, please contact Dr. Mansoor Haider.