33 citations · 102 across the 10 of their papers we have counts for
10 papers
A simulation platform for slender, semiflexible, and inextensible fibers with Brownian hydrodynamics and steric repulsion
Ondrej Maxian, Aleksandar Donev
The last few years have witnessed an explosion of new numerical methods for filament hydrodynamics. Aside from their ubiquity in biology, physics, and engineering, filaments presen…
Bending fluctuations in semiflexible, inextensible, slender filaments in Stokes flow: towards a spectral discretization
Ondrej Maxian, Brennan Sprinkle, Aleksandar Donev
Semiflexible slender filaments are ubiquitous in nature and cell biology, including in the cytoskeleton, where reorganization of actin filaments allows the cell to move and divide.…
Computing hydrodynamic interactions in confined doubly-periodic geometries in linear time
Aref Hashemi, Raul P. Pelaez, Sachin Natesh +4
We develop a linearly-scaling variant of the Force Coupling Method [K. Yeo and M. R. Maxey, J. Fluid Mech. 649, 205-231 (2010)] for computing hydrodynamic interactions among partic…
Slender body theories for rotating filaments
Ondrej Maxian, Aleksandar Donev
Slender fibers are ubiquitous in biology, physics, and engineering, with prominent examples including bacterial flagella and cytoskeletal fibers. In this setting, slender body theo…
The hydrodynamics of a twisting, bending, inextensible fiber in Stokes flow
Ondrej Maxian, Brennan Sprinkle, Charles S. Peskin +1
In swimming microorganisms and the cell cytoskeleton, inextensible fibers resist bending and twisting, and interact with the surrounding fluid to cause or resist large-scale fluid…
A fast spectral method for electrostatics in doubly-periodic slit channels
Ondrej Maxian, Raul P. Peláez, Leslie Greengard +1
We develop a fast method for computing the electrostatic energy and forces for a collection of charges in doubly-periodic slabs with jumps in the dielectric permittivity at the sla…
An integral-based spectral method for inextensible slender fibers in Stokes flow
Ondrej Maxian, Alex Mogilner, Aleksandar Donev
Every animal cell is filled with a cytoskeleton, a dynamic gel made of inextensible fibers, such as microtubules, actin fibers, and intermediate filaments, all suspended in a visco…
An immersed boundary method with subgrid resolution and improved numerical stability applied to slender bodies in Stokes flow
Ondrej Maxian, Charles S. Peskin
The immersed boundary method is a numerical and mathematical formulation for solving fluid-structure interaction problems. It relies on solving fluid equations on an Eulerian fluid…
2D force constraints in the method of regularized Stokeslets
Ondrej Maxian, Wanda Strychalski
For many biological systems that involve elastic structures immersed in fluid, small length scales mean that inertial effects are also small, and the fluid obeys the Stokes equatio…
A continuous energy-based immersed boundary method for elastic shells
Ondrej Maxian, Andrew T. Kassen, Wanda Strychalski
The immersed boundary method is a mathematical formulation and numerical method for solving fluid-structure interaction problems. For many biological problems, such as models that…