- Cellular Mechanics and Interactions
- Elasticity and Material Modeling
- Skin and Cellular Biology Research
- Advanced Thermodynamics and Statistical Mechanics
- Insect and Arachnid Ecology and Behavior
- Geometry and complex manifolds
- Geometric Analysis and Curvature Flows
- Tendon Structure and Treatment
- Wnt/β-catenin signaling in development and cancer
- Black Holes and Theoretical Physics
- thermodynamics and calorimetric analyses
Rutgers, The State University of New Jersey
2021-2025
We demonstrate that for a rigid and incompressible network in mechanical equilibrium, the microscopic stress strain follows simple relation, $\ensuremath{\sigma}=p\mathbf{E}$, where $\ensuremath{\sigma}$ is deviatoric stress, $\mathbf{E}$ mean-field tensor, $p$ hydrostatic pressure. This relationship arises as natural consequence of energy minimization or equivalently, equilibration. The result suggests not only are aligned principal directions, but also deformations predominantly affine....
From solar supergranulation to salt flat in Bolivia, from veins on leaves cells Drosophila wing discs, polygon-based networks exhibit great complexities, yet similarities and consistent patterns emerge. Based analysis of 99 polygonal tessellations a wide variety physical origins, this work demonstrates the ubiquity an exponential distribution squared norm deformation tensor, E2, which directly leads ubiquitous presence Gamma distributions polygon aspect ratio as recently demonstrated by Atia...
Abstract Tension-adhesion interplay is a crucial mechanism in multicellular organisms that determines the tension differential among internal and external interfaces, which turn, mediates tissue surface cell sorting, morphogenesis remodeling, cancer progression. Cadherins are widely believed to be involved, yet key aspects of process neither well characterized nor quantified. This study demonstrates critical role N-cadherin driving mechanical polarization throughout actin cortical network....