77 citations · 233 across the 27 of their papers we have counts for
27 papers
Squirming motion near corrugated surfaces
Sagnik Garai, Thomas G. Fai, Christina Kurzthaler
Swimming microorganisms often operate in complex confinement, where an interplay of long-ranged hydrodynamic interactions and a short-ranged repulsive interaction can give rise to…
Dynamics and stochastic resonance in a mathematical model of bistable phosphorylation and nuclear size control
Xuesong Bai, Jonathan Touboul, Thomas G. Fai
Robust oscillations play crucial roles in a wide variety of biological processes and are often generated by deterministic mechanisms. However, stochastic fluctuations often generat…
Fast Solver for the Reynolds Equation on Piecewise Linear Geometries
Sarah Dennis, Thomas G. Fai
The Reynolds equation is derived from the incompressible Navier Stokes equations under the lubrication assumptions of a long and thin domain geometry and a small scaled Reynolds nu…
Vesicle Translocation into Closed Constrictions as a Function of Molecular Motor Parameters
Youngmin Park, Thomas G. Fai
We study the dynamics of molecular motor-driven transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signal…
Comparison of Extended Lubrication Theories for Stokes Flow
Sarah Dennis, Thomas G. Fai
Lubrication theory makes use of the assumptions of a long and thin fluid domain and a small scaled Reynolds number to formulate a linearized approximation to the Navier-Stokes equa…
Emergence of Anti-chemotactic Flocking in Active Biomimetic Colloids
Joseph D. Lopes, Benjamin Winterstrain, Fernando Caballero +11
Competition for resources is a fundamental constraint that guides the self-organization of natural, biological, and human systems, ranging from urban planning and ecosystem develop…
Mathematical model of Nucleocytoplasmic Transport and Nuclear-to-Cell Ratio in a growing cell
Xuesong Bai, Thomas G. Fai
It has been observed that the growth of the nucleus and the cytoplasm is coordinated during cell growth, resulting in a nearly constant nuclear-to-cell volume ratio (N/C) throughou…
Comparison of Lubrication Theory and Stokes Flow in Corner Geometries with Flow Separation
Sarah Dennis, Thomas G. Fai
The Reynolds equation from lubrication theory and the Stokes equations for zero Reynolds number flows are distinct models for an incompressible fluid with negligible inertia. Here…
Stochastic Gene Expression Model of Nuclear-to-Cell Ratio Homeostasis
Xuesong Bai, Thomas G. Fai
Cell size varies between different cell types, and between different growth and osmotic conditions. However, the nuclear-to-cell volume ratio (N/C ratio) remains nearly constant. I…
A confined rod: mean field theory for hard rod-like particles
Jamie M. Taylor, Thomas G. Fai, Epifanio G. Virga +2
In this paper, we model the configurations of a system of hard rods by viewing each rod in a cell formed by its neighbors. By minimizing the free energy in the model and performing…
Modeling the Transition between Localized and Extended Deposition in Flow Networks through Packings of Glass Beads
Gess Kelly, Navid Bizmark, Bulbul Chakraborty +2
We use a theoretical model to explore how fluid dynamics, in particular, the pressure gradient and wall shear stress in a channel, affect the deposition of particles flowing in a m…
Fast solver for diffusive transport times on dynamic intracellular networks
Lachlan Elam, Mónica C. Quiñones-Frías, Ying Zhang +2
The transport of particles in cells is influenced by the properties of intracellular networks they traverse while searching for localized target regions or reaction partners. Moreo…
Influence of the vessel wall geometry on the wall-induced migration of red blood cells
Ying Zhang, Thomas G. Fai
The geometry of the blood vessel wall plays a regulatory role on the motion of red blood cells (RBCs). The overall topography of the vessel wall depends on many features, among whi…
Multiscale Model of Clogging in Microfluidic Devices with Grid-Like Geometries
Gess Kelly, Thomas G. Fai
We propose a coarse-grained theoretical model to capture the aging of microfluidic devices under different conditions including constant applied flow rate and constant applied pres…
Coarse-grained Stochastic Model of Myosin-Driven Vesicles into Dendritic Spines
Youngmin Park, Prashant Singh, Thomas G. Fai
We study the dynamics of membrane vesicle motor transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signal…
Cavity volume and free energy in many-body systems
Jamie M. Taylor, Thomas G. Fai, Epifanio G. Virga +2
Within this work we derive and analyse an expression for the free energy of a single-species system in the thermodynamic limit in terms of a generalised cavity volume, that is exac…
Leaky Cell Model of Hard Spheres
Thomas G. Fai, Jamie M. Taylor, Epifanio G. Virga +2
We study packings of hard spheres on lattices. The partition function, and therefore the pressure, may be written solely in terms of the accessible free volume, i.e. the volume of…
Global asymptotic stability of the active disassembly model of flagellar length control
Thomas G. Fai, Youngmin Park
Organelle size control is a fundamental question in biology that demonstrates the fascinating ability of cells to maintain homeostasis within their highly variable environments. Th…
Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors
Youngmin Park, Thomas G. Fai
We study the dynamics of a model of membrane vesicle transport into dendritic spines, which are bulbous intracellular compartments in neurons driven by molecular motors. We reduce…
Dynamics of growth and form in prebiotic vesicles
Teresa Ruiz-Herrero, Thomas G. Fai, L. Mahadevan
The growth, form, and division of prebiotic vesicles, membraneous bags of fluid of varying components and shapes is hypothesized to have served as the substrate for the origin of l…
Active elastohydrodynamics of vesicles in narrow, blind constrictions
Thomas G. Fai, Remy Kusters, Jens Harting +2
Fluid-resistance limited transport of vesicles through narrow constrictions is a recurring theme in many biological and engineering applications. Inspired by the motor-driven movem…
Lubricated Immersed Boundary Method in Two Dimensions
Thomas G. Fai, Chris H. Rycroft
Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicl…
Combinatorics and complexity of guarding polygons with edge and point 2-transmitters
Sarah Cannon, Thomas G. Fai, Justin Iwerks +2
We consider a generalization of the classical Art Gallery Problem, where instead of a light source, the guards, called -transmitters, model a wireless device with a signal that…
A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick's law
A. Donev, T. G. Fai, E. Vanden-Eijnden
We study diffusive mixing in the presence of thermal fluctuations under the assumption of large Schmidt number. In this regime we obtain a limiting equation that contains a diffusi…