A5026873569- Lattice Boltzmann Simulation Studies
- Micro and Nano Robotics
- Cellular Mechanics and Interactions
- Microfluidic and Bio-sensing Technologies
- Advanced Fluorescence Microscopy Techniques
- Model Reduction and Neural Networks
- Matrix Theory and Algorithms
- Electromagnetic Scattering and Analysis
- Cell Image Analysis Techniques
- Numerical methods for differential equations
- Characterization and Applications of Magnetic Nanoparticles
- Fluid Dynamics and Turbulent Flows
- Advanced Numerical Methods in Computational Mathematics
- Microtubule and mitosis dynamics
- Mathematical Biology Tumor Growth
- Probabilistic and Robust Engineering Design
- Microfluidic and Capillary Electrophoresis Applications
- Quantum chaos and dynamical systems
- Computer Graphics and Visualization Techniques
- Underwater Vehicles and Communication Systems
- Biocrusts and Microbial Ecology
- Fluid Dynamics and Vibration Analysis
Binghamton University
2023
Syracuse University
2016-2022
Carnegie Hall
2016-2019
Worcester Polytechnic Institute
2015
We present two new algorithms for investigating the stability of large and sparse matrices subject to real perturbations. The first algorithm computes structured pseudospectral abscissa is based on computing proposed by Guglielmi Overton [SIAM J. Matrix Anal. Appl., 32 (2011), pp. 1166--1192]. It entails finding rightmost eigenvalues a sequence matrices, we demonstrate that these eigenvalue problems can be solved in robust manner an unconventional solver. also develop radius stable matrix,...
Linear stability analysis of a large-scale dynamical system requires computing the rightmost eigenvalue large sparse matrix $A$. To enhance convergence to this eigenvalue, an iterative eigensolver is usually applied transformation $A$ instead, which plays similar role as preconditioner for linear systems. Commonly used transformations such shift-invert are unreliable and may cause wrong eigenvalue. We propose using exponential since eigenvalues correspond dominant ones $e^{hA}$ ($h>0$),...
Linear stability analysis of a dynamical system entails finding the rightmost eigenvalue for series problems. For large-scale systems, it is known that conventional iterative solvers are not reliable computing this eigenvalue. A more robust method recently developed in Elman & Wu (2013, Lyapunov inverse iteration few eigenvalues large generalized SIAM J. Matrix Anal. Appl. , 34 1685–1707) and Meerbergen Spence (2010, Inverse purely imaginary with application to detection Hopf bifurcation 31...
The Lagrangian analysis of a fluid flow entails calculating the trajectories particles, which are governed by an autonomous or non-autonomous dynamical system, depending on whether is steady unsteady. In conventional methods, particle's position incremented time step using numerical solver for ordinary differential equations (ODEs), assuming that velocity field known analytically can be acquired through either simulation experimentation. this work, we assume instead unavailable but abundant...
In this work, we outline a methodology for determining optimal helical flagella placement and phase shift that maximize fluid pumping through rectangular flow meter above simulated bacterial carpet. This method uses Genetic Algorithm (GA) combined with gradient-based method, the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm, to solve optimization problem Method of Regularized Stokeslets (MRS) simulate flow. is able produce placements shifts small carpets could be adapted implementation...
Abstract Actin is an intracellular protein that constitutes a primary component of the cellular cytoskeleton and accordingly crucial for various cell functions. assembles into semi-flexible filaments cross-link to form higher order structures within cytoskeleton. In turn, actin cytoskeketon regulates shape, participates in migration division. A variety theoretical models have been proposed investigate dynamics across distinct scales, from stochastic nature molecular motor deterministic...
Cells rely on their cytoskeleton for key processes including division and directed motility. Actin filaments are a primary constituent of the cytoskeleton. Although actin can create variety network architectures linked to distinct cell functions, microscale molecular interactions that give rise these macroscale structures not well understood. In this work, we investigate mechanisms produce different branched using an iterative classification approach. First, employ simple yet comprehensive...
Abstract Cells rely on their cytoskeleton for key processes including division and directed motility. Actin filaments are a primary constituent of the cytoskeleton. Although actin can create variety network architectures linked to distinct cell functions, microscale molecular interactions that give rise these macroscale structures not well understood. In this work, we investigate mechanisms produce different branched using an iterative classification approach. First, employ simple yet...