- •Contents
- •Contributors
- •Preface
- •1 Introduction, with the biological basis for cell mechanics
- •Introduction
- •The role of cell mechanics in biological function
- •Maintenance of cell shape
- •Cell migration
- •Mechanosensing
- •Stress responses and the role of mechanical forces in disease
- •Active cell contraction
- •Structural anatomy of a cell
- •The extracellular matrix and its attachment to cells
- •Transmission of force to the cytoskeleton and the role of the lipid bilayer
- •Intracellular structures
- •Overview
- •References
- •2 Experimental measurements of intracellular mechanics
- •Introduction
- •Forces to which cells are exposed in a biological context
- •Methods to measure intracellular rheology by macrorheology, diffusion, and sedimentation
- •Whole cell aggregates
- •Sedimentation of particles
- •Diffusion
- •Mechanical indentation of the cell surface
- •Glass microneedles
- •Cell poker
- •Atomic force microscopy
- •Mechanical tension applied to the cell membrane
- •Shearing and compression between microplates
- •Optical traps
- •Magnetic methods
- •Twisting of magnetized particles on the cell surface and interior
- •Passive microrheology
- •Optically detected individual probes
- •One-particle method
- •Two-particle methods
- •Dynamic light scattering and diffusing wave spectroscopy
- •Fluorescence correlation spectroscopy
- •Optical stretcher
- •Acoustic microscopy
- •Outstanding issues and future directions
- •References
- •3 The cytoskeleton as a soft glassy material
- •Introduction
- •Magnetic Twisting Cytometry (MTC)
- •Measurements of cell mechanics
- •The structural damping equation
- •Reduction of variables
- •Universality
- •Scaling the data
- •Collapse onto master curves
- •Theory of soft glassy rheology
- •What are soft glassy materials
- •Sollich’s theory of SGMs
- •Soft glassy rheology and structural damping
- •Open questions
- •Biological insights from SGR theory
- •Malleability of airway smooth muscle
- •Conclusion
- •References
- •4 Continuum elastic or viscoelastic models for the cell
- •Introduction
- •Purpose of continuum models
- •Principles of continuum models
- •Boundary conditions
- •Mechanical and material characteristics
- •Example of studied cell types
- •Blood cells: leukocytes and erythrocytes
- •Limitations of continuum model
- •Conclusion
- •References
- •5 Multiphasic models of cell mechanics
- •Introduction
- •Biphasic poroviscoelastic models of cell mechanics
- •Analysis of cell mechanical tests
- •Micropipette aspiration
- •Cells
- •Biphasic properties of the pericellular matrix
- •Indentation studies of cell multiphasic properties
- •Analysis of cell–matrix interactions using multiphasic models
- •Summary
- •References
- •6 Models of cytoskeletal mechanics based on tensegrity
- •Introduction
- •The cellular tensegrity model
- •The cellular tensegrity model
- •Do living cells behave as predicted by the tensegrity model?
- •Circumstantial evidence
- •Prestress-induced stiffening
- •Action at a distance
- •Do microtubules carry compression?
- •Summary
- •Examples of mathematical models of the cytoskeleton based on tensegrity
- •The cortical membrane model
- •Tensed cable nets
- •Cable-and-strut model
- •Summary
- •Tensegrity and cellular dynamics
- •Conclusion
- •Acknowledgement
- •References
- •7 Cells, gels, and mechanics
- •Introduction
- •Problems with the aqueous-solution-based paradigm
- •Cells as gels
- •Cell dynamics
- •Gels and motion
- •Secretion
- •Muscle contraction
- •Conclusion
- •Acknowledgement
- •References
- •8 Polymer-based models of cytoskeletal networks
- •Introduction
- •The worm-like chain model
- •Force-extension of single chains
- •Dynamics of single chains
- •Network elasticity
- •Nonlinear response
- •Discussion
- •References
- •9 Cell dynamics and the actin cytoskeleton
- •Introduction: The role of actin in the cell
- •Interaction of the cell cytoskeleton with the outside environment
- •The role of cytoskeletal structure
- •Actin mechanics
- •Actin dynamics
- •The emergence of actin dynamics
- •The intrinsic dynamics of actin
- •Regulation of dynamics by actin-binding proteins
- •Capping protein: ‘decommissioning’ the old
- •Gelsolin: rapid remodeling in one or two steps
- •β4-thymosin: accounting (sometimes) for the other half
- •Dynamic actin in crawling cells
- •Actin in the leading edge
- •Monomer recycling: the other ‘actin dynamics’
- •The biophysics of actin-based pushing
- •Conclusion
- •Acknowledgements
- •References
- •10 Active cellular protrusion: continuum theories and models
- •Cellular protrusion: the standard cartoon
- •The RIF formalism
- •Mass conservation
- •Momentum conservation
- •Boundary conditions
- •Cytoskeletal theories of cellular protrusion
- •Network–membrane interactions
- •Network dynamics near the membrane
- •Special cases of network–membrane interaction: polymerization force, brownian and motor ratchets
- •Network–network interactions
- •Network dynamics with swelling
- •Other theories of protrusion
- •Numerical implementation of the RIF formalism
- •An example of cellular protrusion
- •Protrusion driven by membrane–cytoskeleton repulsion
- •Protrusion driven by cytoskeletal swelling
- •Discussion
- •Conclusions
- •References
- •11 Summary
- •References
- •Index
176J.L. McGrath and C.F. Dewey, Jr.
of membrane adhesive receptors including β1 and β7 integrin and GP1bα (Andrews and Fox, 1991; Andrews and Fox, 1992; Fox, 1985; Sprandio et al., 1988; Takafuta et al., 1998).
With many binding partners now described, FLNa participates in signaling cascades by spatially collecting and concentrating signaling proteins at the plasma membrane– cytoskeletal junction and may possibly function as an organizing center for actin network rearrangements (see Fig. 9-3). Important partner interactions that may be dependent on filamin include GTPase targeting and charging and linkage of the actin cytoskeleton to membrane glycoproteins such as GP1bα and β-integrins. FLNa is part of a larger family of proteins that include FLNb and FLNc, whose genes are on chromosomes 3 and 7, respectively (Brocker¨ and al, 1999; Krakow et al., 2004; Sheen et al., 2002; Thompson et al., 2000).
FLNa is an elongated homodimer (Hartwig and Stossel, 1981). Each subunit has an N-terminal actin-binding site joined to twenty-four repeat motifs, each 100 residues in length. Repeats are ββ-barrel structures that are believed to interconnect like beads on a string. Subunits self-associate into dimers using only the most C-T repeat motif. The location of known binding partner proteins along each FLNa subunit is indicated in Fig. 9-3. Molecules are 160 nm in length in the electron microscope (Fig. 9-3, bottom right) but can organize actin filaments into branching networks (Fig. 9-3, bottom left).
The FLNa concentrations in endothelial and other cells is normally such that there are many times more FLNa molecules than junctions in the cell cytoskeleton. This can be ascertained by measuring the amount of FLNa in the soluble portion of the cell, computing the molecular concentration per unit cell volume, and then comparing that to the concentration of filament junctions per unit volume of cytoskeleton observable in electron microscopy (see Fig. 9-1).
The role of cytoskeletal structure
The internal structure of the cell has several functions. One is to provide a sufficient amount of rigidity so that the cell can withstand external forces. Figure 9-4 illustrates the functions that the cytoskeleton performs when the cell is subjected to fluid shear stress. A balance of forces requires that the cytoskeleton transmit the entire applied force to the substrate.
The second function to be served is that the cytoskeleton must be malleable enough to allow the cell to accommodate new environmental parameters such as imposed mechanical forces from fluid shear stress and mechanical deformation of the artery. There are two separate time scales to be considered; the first is short time behavior, where fluctuations such as systolic and diastolic changes in flow must be accommodated, and longer times, where the actin matrix can completely disassociate and reform. This latter scale is typically on the order of tens of minutes. More discussion of these mechanisms is given later in this chapter.
The following section will draw upon the ultrastructure presented above and describe how simple mechanical models of the lattice can be used to predict the mechanical properties of the cell.