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1. A hybrid stochastic–deterministic mechanochemical model of cell polarization

   https://doi.org/10.1091/mbc.E19-09-0549  

   Copos, Calina ; Mogilner, Alex ( July 2020 , Molecular Biology of the Cell)

   Edelstein-Keshet, Leah (Ed.)

   Polarization is a crucial component in cell differentiation, development, and motility, but its details are not yet well understood. At the onset of cell locomotion, cells break symmetry to form well-defined cell fronts and rears. This polarity establishment varies across cell types: in Dictyostelium discoideum cells, it is mediated by biochemical signaling pathways and can function in the absence of a cytoskeleton, while in keratocytes, it is tightly connected to cytoskeletal dynamics and mechanics. Theoretical models that have been developed to understand the onset of polarization have explored either signaling or mechanical pathways, yet few have explored mechanochemical mechanisms. However, many motile cells rely on both signaling modules and actin cytoskeleton to break symmetry and achieve a stable polarized state. We propose a general mechanochemical polarization model based on coupling between a stochastic model for the segregation of signaling molecules and a simplified mechanical model for actin cytoskeleton network competition. We find that local linear coupling between minimally nonlinear signaling and cytoskeletal systems, separately not supporting stable polarization, yields a robustly polarized cell state. The model captures the essence of spontaneous polarization of neutrophils, which has been proposed to emerge due to the competition between frontness and backness pathways. 

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2. Quantifying topography-guided actin dynamics across scales using optical flow

   https://doi.org/10.1091/mbc.E19-11-0614  

   Lee, Rachel M. ; Campanello, Leonard ; Hourwitz, Matt J. ; Alvarez, Phillip ; Omidvar, Ava ; Fourkas, John T. ; Losert, Wolfgang ; Weaver, Valerie Marie ( July 2020 , Molecular Biology of the Cell)

   The dynamic rearrangement of the actin cytoskeleton is an essential component of many mechanotransduction and cellular force generation pathways. Here we use periodic surface topographies with feature sizes comparable to those of in vivo collagen fibers to measure and compare actin dynamics for two representative cell types that have markedly different migratory modes and physiological purposes: slowly migrating epithelial MCF10A cells and polarizing, fast-migrating, neutrophil-like HL60 cells. Both cell types exhibit reproducible guidance of actin waves (esotaxis) on these topographies, enabling quantitative comparisons of actin dynamics. We adapt a computer-vision algorithm, optical flow, to measure the directions of actin waves at the submicron scale. Clustering the optical flow into regions that move in similar directions enables micron-scale measurements of actin-wave speed and direction. Although the speed and morphology of actin waves differ between MCF10A and HL60 cells, the underlying actin guidance by nanotopography is similar in both cell types at the micron and submicron scales. 

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3. Emergent Criticality in Coupled Boolean Networks

   https://doi.org/10.3390/e25020235  

   Kang, Chris ; McElroy, Madelynn ; Voulgarakis, Nikolaos K. ( February 2023 , Entropy)

   Early embryonic development involves forming all specialized cells from a fluid-like mass of identical stem cells. The differentiation process consists of a series of symmetry-breaking events, starting from a high-symmetry state (stem cells) to a low-symmetry state (specialized cells). This scenario closely resembles phase transitions in statistical mechanics. To theoretically study this hypothesis, we model embryonic stem cell (ESC) populations through a coupled Boolean network (BN) model. The interaction is applied using a multilayer Ising model that considers paracrine and autocrine signaling, along with external interventions. It is demonstrated that cell-to-cell variability can be interpreted as a mixture of steady-state probability distributions. Simulations have revealed that such models can undergo a series of first- and second-order phase transitions as a function of the system parameters that describe gene expression noise and interaction strengths. These phase transitions result in spontaneous symmetry-breaking events that generate new types of cells characterized by various steady-state distributions. Coupled BNs have also been shown to self-organize in states that allow spontaneous cell differentiation. 

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4. Spatiotemporal relationships between the cell shape and the actomyosin cortex of periodically protruding cells

   https://doi.org/10.1002/cm.21229  

   Driscoll, Meghan K. ; Losert, Wolfgang ; Jacobson, Ken ; Kapustina, Maryna ( August 2015 , Cytoskeleton)

   We investigate the dynamics of cell shape and analyze the actin and myosin distributions of cells exhibiting cortical density traveling waves. These waves propagate by repeated cycles of cortical compression (folding) and dilation (unfolding) that lead to periodic protrusions (oscillations) of the cell boundary. The focus of our detailed analysis is the remarkable periodicity of this phenotype, in which both the overall shape transformation and distribution of actomyosin density are repeated from cycle to cycle even though the characteristics of the shape transformation vary significantly for different regions of the cell. We show, using correlation analysis, that during traveling wave propagation cortical actin and plasma membrane densities are tightly coupled at each point along the cell periphery. We also demonstrate that the major protrusion appears at the wave trailing edge just after the actin cortex density has reached a maximum. Making use of the extraordinary periodicity, we employ latrunculin to demonstrate that sequestering actin monomers can have two distinct effects: low latrunculin concentrations can trigger and enhance traveling waves but higher concentrations of this drug retard the waves. The fundamental mechanism underlying this periodically protruding phenotype, involving folding and unfolding of the cortex‐membrane couple, is likely to hold important clues for diverse phenomena including cell division and amoeboid‐type migration. © 2015 The Authors. Cytoskeleton Published by Wiley Periodicals, Inc.

    

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5. Septins provide microenvironment sensing and cortical actomyosin partitioning in motile amoeboid T lymphocytes

   https://doi.org/10.1126/sciadv.adi1788  

   Zhovmer, Alexander S. ; Manning, Alexis ; Smith, Chynna ; Nguyen, Ashley ; Prince, Olivia ; Sáez, Pablo J. ; Ma, Xuefei ; Tsygankov, Denis ; Cartagena-Rivera, Alexander X. ; Singh, Niloy A. ; et al ( January 2024 , Science Advances)

   The all-terrain motility of lymphocytes in tissues and tissue-like gels is best described as amoeboid motility. For amoeboid motility, lymphocytes do not require specific biochemical or structural modifications to the surrounding extracellular matrix. Instead, they rely on changing shape and steric interactions with the microenvironment. However, the exact mechanism of amoeboid motility remains elusive. Here, we report that septins participate in amoeboid motility of T cells, enabling the formation of F-actin and α-actinin–rich cortical rings at the sites of cell cortex–indenting collisions with the extracellular matrix. Cortical rings compartmentalize cells into chains of spherical segments that are spatially conformed to the available lumens, forming transient “hourglass”-shaped steric locks onto the surrounding collagen fibers. The steric lock facilitates pressure-driven peristaltic propulsion of cytosolic content by individually contracting cell segments. Our results suggest that septins provide microenvironment-guided partitioning of actomyosin contractility and steric pivots required for amoeboid motility of T cells in tissue-like microenvironments.

    

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