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Featured

Dissecting mechanisms of hyperarousal in autism and related disorders using the Simons Sleep Project

Funded Work

Gravity Follows Newton’s and Einstein’s Rules, Even at Cosmic Scales

April 15, 2026

Scientists Capture Superconductivity’s ‘Dancing Pairs’ for First Time, Filling Gap in Decades-Old Theory

April 15, 2026

How SURFiN Fellowships Jump-Started These 3 Neuroscience Students’ STEM Careers

March 18, 2026

Topology and Complexity

November 19, 2014

Results

  1. How Cross-Link Numbers Shape the Large-Scale Physics of Cytoskeletal Materials

    Publication
    Cytoskeletal networks are the main actuators of cellular mechanics, and a foundational example for active matter physics. In cytoskeletal networks, motion is generated on small scales by filaments …
  2. Euchromatin activity enhances segregation and compaction of heterochromatin in the cell nucleus

    Publication
    The large-scale organization of the genome inside the cell nucleus is critical for the cell’s function. Chromatin – the functional form of DNA in cells – serves as …
  3. Hyperuniformity and phase enrichment in vortex and rotor assemblies

    Publication
    Ensembles of particles rotating in a two-dimensional fluid can exhibit chaotic dynamics yet develop signatures of hidden order. Such "rotors" are found in the natural world spanning …
  4. A multiscale biophysical model gives quantized metachronal waves in a lattice of beating cilia

    Publication
    Motile cilia are slender, hair-like cellular appendages that spontaneously oscillate under the action of internal molecular motors and are typically found in dense arrays. These active filaments …
  5. Motile dislocations knead odd crystals into whorls

    Publication
    The competition between thermal fluctuations and potential forces governs the stability of matter in equilibrium, in particular the proliferation and annihilation of topological defects. However, driving matter out …
  6. Lévy Walks and Path Chaos in the Dispersal of Elongated Structures Moving across Cellular Vortical Flows

    Publication
    In cellular vortical flows, namely arrays of counterrotating vortices, short but flexible filaments can show simple random walks through their stretch-coil interactions with flow stagnation points. Here …
  7. A multiscale biophysical model gives quantized metachronal waves in a lattice of cilia

    Publication
    Motile cilia are slender, hair-like cellular appendages that spontaneously oscillate under the action of internal molecular motors and are typically found in dense arrays. These active filaments …
  8. A fast Chebyshev method for the Bingham closure with application to active nematic suspensions

    Publication
    Continuum kinetic theories provide an important tool for the analysis and simulation of particle suspensions. When those particles are anisotropic, the addition of a particle orientation vector to …
  9. How crosslink numbers shape the large-scale physics of cytoskeletal materials

    Publication
    Cytoskeletal networks are the main actuators of cellular mechanics, and a foundational example for active matter physics. In cytoskeletal networks, motion is generated on small scales by filaments …
  10. Metallic Microswimmers Driven up the Wall by Gravity

    Publication
    Experiments on autophoretic bimetallic nanorods propelling within a fuel of hydrogen peroxide show that tail-heavy swimmers preferentially orient upwards and ascend along inclined planes. We show that …
  11. A stable and accurate scheme for solving the Stefan problem coupled with natural convection using the Immersed Boundary Smooth Extension method

    Publication
    In cellular vortical flows, short but flexible filaments can show simple random walks through their stretch-coil interactions with flow stagnation points. Here, we study the dynamics of …
  12. Comparison of explicit and mean-field models of cytoskeletal filaments with crosslinking motors

    Publication
    In cells, cytoskeletal filament networks are responsible for cell movement, growth, and division. Filaments in the cytoskeleton are driven and organized by crosslinking molecular motors. In reconstituted cytoskeletal …
  13. The many behaviors of deformable active droplets

    Publication
    Active fluids consume fuel at the microscopic scale, converting this energy into forces that can drive macroscopic motions over scales far larger than their microscopic constituents. In some …
  14. Chiral crystals self-knead into whorls

    Publication
    The competition between thermal fluctuations and potential forces is the foundation of our understanding of phase transitions and matter in equilibrium. Driving matter out of equilibrium allows for …
  15. Swirling Instability of the Microtubule Cytoskeleton

    Publication
    In the cellular phenomena of cytoplasmic streaming, molecular motors carrying cargo along a network of microtubules entrain the surrounding fluid. The piconewton forces produced by individual motors are …
  16. A design framework for actively crosslinked filament networks

    Publication
    Living matter moves, deforms, and organizes itself. In cells this is made possible by networks of polymer filaments and crosslinking molecules that connect filaments to each other and …
  17. A Compact Eulerian Representation of Axisymmetric Inviscid Vortex Sheet Dynamics

    Publication
    A classical problem in fluid mechanics is the motion of an axisymmetric vor-tex sheet evolving under the action of surface tension, surrounded by an invis-cid fluid …
  18. Comparison of explicit and mean-field models of cytoskeletal filaments with crosslinking motors

    Publication
    In cells, cytoskeletal filament networks are responsible for cell movement, growth, and division. Filaments in the cytoskeleton are driven and organized by crosslinking molecular motors. In reconstituted cytoskeletal …
  19. Stoichiometric interactions explain spindle dynamics and scaling across 100 million years of nematode evolution

    Publication
    The spindle shows remarkable diversity, and changes in an integrated fashion, as cells vary over evolution. Here, we provide a mechanistic explanation for variations in the first mitotic …
  20. Ultra-sharp pinnacles sculpted by natural convective dissolution

    Publication
    The evolution of landscapes, landforms, and other natural structures involves highly interactive physical and chemical processes that often lead to intriguing shapes and recurring motifs. Particularly intricate and …
  21. A design framework for actively crosslinked filament networks

    Publication
    Living matter moves, deforms, and organizes itself. In cells this is made possible by networks of polymer filaments and crosslinking molecules that connect filaments to each other and …
  22. A scalable computational platform for Stokes suspensions

    Publication
    We describe a computational framework for simulating suspensions of rigid particles in Newtonian Stokes flow. One central building block is a collision-resolution algorithm that overcomes the numerical …
  23. Lattices of Hydrodynamically Interacting Flapping Swimmers

    Publication
    Fish schools and bird flocks exhibit complex collective dynamics whose self-organization principles are largely unknown. The influence of hydrodynamics on such collectives has been relatively unexplored theoretically …
  24. Relating Rheotaxis and Hydrodynamic Actuation using Asymmetric Gold-Platinum Phoretic Rods

    Publication
    We explore the behavior of micron-scale autophoretic Janus (Au / Pt) rods, having various Au / Pt length ratios, swimming near a wall in an imposed background flow. We …
  25. Rotating Membrane Inclusions Crystallize Through Hydrodynamic and Steric Interactions

    Publication
    We show that rotating membrane inclusions can crystallize due to combined hydrodynamic and steric interactions. Alone, steric repulsion of unconfined particles, even with thermal fluctuations, does not lead …
  26. The odd free surface flows of a colloidal chiral fluid

    Publication
    In simple fluids, such as water, invariance under parity and time-reversal symmetry imposes that the rotation of constituent ‘atoms’ is determined by the flow and that viscous …
  27. The stormy fluid dynamics of the living cell

    Publication
    Cell biology has its beginnings in the first observations of cells through primitive microscopes and in the formulation of cell theory, which postulates that cells are the fundamental …
  28. Self-straining of actively crosslinked microtubule networks

    Publication
    Cytoskeletal networks are foundational examples of active matter and central to self-organized structures in the cell. In vivo, these networks are active and densely crosslinked. Relating their …
  29. Current approaches for the analysis of spindle organization

    Publication
    The organization of microtubules in spindles is complex and not fully understood. Here we report on current advances in generating 3D reconstructions of staged spindles by serial-section …
  30. Fast crystallization of rotating membrane proteins

    Publication
    We examine the interactions between actively rotating proteins moving in a membrane. Experimental evidence suggests that such rotor proteins, like the ATP synthases of the inner mitochondrial membrane …
  31. Computing collision stress in assemblies of active spherocylinders: applications of a fast and generic geometric method

    Publication
    In this work, we provide a solution to the problem of computing collision stress in particle-tracking simulations. First, a formulation for the collision stress between particles is …
  32. From cytoskeletal assemblies to living materials

    Publication
    Many subcellular structures contain large numbers of cytoskeletal filaments. Such assemblies underlie much of cell division, motility, signaling, metabolism, and growth. Thus, understanding cell biology requires understanding the …
  33. Coarse-graining the dynamics of immersed and driven fiber assemblies

    Publication
    An important class of fluid-structure problems involve the dynamics of ordered arrays of immersed, flexible fibers. While specialized numerical methods have been developed to study fluid-fiber …
  34. Dynamics of Flexible Fibers in Viscous Flows and Fluids

    Publication
    The dynamics and deformations of immersed flexible fibers are at the heart of important industrial and biological processes, induce peculiar mechanical and transport properties in the fluids that …
  35. Nonlinear concentration patterns and bands in autochemotactic suspensions

    Publication
    In suspensions of microorganisms, pattern formation can arise from the interplay of chemotaxis and the fluid flows collectively generated by the organisms themselves. Here we investigate the resulting …
  36. Extensile motor activity drives coherent motions in a model of interphase chromatin

    Publication
    The 3D spatiotemporal organization of the human genome inside the cell nucleus remains a major open question in cellular biology. In the time between two cell divisions, chromatin …
  37. Directed migration of microscale swimmers by an array of shaped obstacles: modeling and shape optimization

    Publication
    Achieving macroscopic directed migration of microscale swimmers in a fluid is an important step towards utilizing their autonomous motion. It has been experimentally shown that directed motion can …
  38. Equilibrium Shapes and Their Stability for Liquid Films in Fast Flows

    Publication
    We study how a suspended liquid film is deformed by an external flow en route to forming a bubble through experiments and a model. We identify a family …
  39. Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall

    Publication
    It is well-known that by placing judiciously chosen image point forces and doublets to the Stokeslet above a flat wall, the no-slip boundary condition can be …
  40. Measuring and modeling polymer concentration profiles near spindle boundaries argues that spindle microtubules regulate their own nucleation

    Publication
    Abstract Spindles are self-organized microtubule-based structures that segregate chromosomes during cell division. The mass of the spindle is controlled by the balance between microtubule turnover and …
  41. Active matter invasion of a viscous fluid and a no-flow theorem

    Publication
    We investigate the dynamics of hydrodynamically interacting motile and non-motile stress-generating swimmers or particles as they invade a surrounding viscous fluid. Colonies of aligned pusher particles …
  42. Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall

    Publication
    It is well-known that by placing judiciously chosen image point forces and doublets to the Stokeslet above a flat wall, the no-slip boundary condition can be …
  43. Bistability in the synchronization of actuated microfilaments

    Publication
    Cilia and flagella are essential building blocks for biological fluid transport and locomotion at the micrometre scale. They often beat in synchrony and may transition between different synchronization …
  44. Activity-induced instability in 1D microfluidic crystals

    Publication
    One-dimensional crystals of passively-driven particles in microfluidic channels exhibit collective vibrational modes reminiscent of acoustic ‘phonons’. These phonons are induced by the long-range hydrodynamic interactions …
  45. Flexibly imposing periodicity in kernel independent FMM: A multipole-to-local operator approach

    Publication
    An important but missing component in the application of the kernel independent fast multipole method (KIFMM) is the capability for flexibly and efficiently imposing singly, doubly, and triply …
  46. Connecting macroscopic dynamics with microscopic properties in active microtubule network contraction

    Publication
    The cellular cytoskeleton is an active material, driven out of equilibrium by molecular motor proteins. It is not understood how the collective behaviors of cytoskeletal networks emerge from …
  47. A computational model of the flight dynamics and aerodynamics of a jellyfish-like flying machine

    Publication
    We explore theoretically the aerodynamics of a recently fabricated jellyfish-like flying machine (Ristroph & Childress, J. R. Soc. Interface, vol. 11 (92), 2014, 20130992). This experimental device achieves …
  48. C. elegans chromosomes connect to centrosomes by anchoring into the spindle network

    Publication
    The mitotic spindle ensures the faithful segregation of chromosomes. Here we combine the first large-scale serial electron tomography of whole mitotic spindles in early C. elegans embryos …
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