The force-velocity relationship of the ATP-dependent actin-myosin sliding causing cytoplasmic streaming in algal cells, studied using a centrifuge microscope

Structural Modeling of Mechanosensitivity in Non-Muscle Cells: Multiscale Approach to Understand Cell Sensing

The contraction and spreading of nonmuscle cells are important phenomena in a number of cellular processes such as differentiation, morphogenesis, and tissue growth. Recent experimental work has shown that the topology and the mechanical properties of the underlying substrate play a significant role in directing the cell's response. In this work, we introduce a multiscale model to understand the sensing, activation, and contraction of the actin cytoskeleton of nonmuscle cells based on the idea that acto-myosin cross-bridges display a catch-bond response. After investigating the respective roles of bond catchiness and acto-myosin assembly on the mechano-sensitivity of stress fibers, we present full simulations of cells laying on arrays of micropillars. Model predictions show good qualitative agreements with experimental observation, suggesting that acto-myosin catch bonds are a major mechano-sensing element in nonmuscle cells.

Role of catch bonds in actomyosin mechanics and cell mechanosensitivity

We propose a mechanism of adherent cell mechanosensing, based on the idea that the contractile actomyosin machinery behaves as a catch bond. For this, we construct a simplified model of the actomyosin structure that constitutes the building block of stress fibers and express the stability of cross bridges in terms of the force-dependent bonding energy of the actomyosin bond. Consistent with experimental measurements, we then consider that the energy barrier of the actomyosin bond increases for tension and show that this response is enough to explain the force-induced stabilization of a stress fiber. Further numerical simulations at the cellular level show that the catch-bond hypothesis can help in understanding and predict the sensitivity of adherent cells to substrate stiffness.

Flexibility contra stiffness: the phragmoplast as a physical barrier for beads but not for vesicles

In plant cells, Golgi vesicles are transported to the division plane to fuse with each other, forming the cell plate, the initial membrane-bordered cell wall separating daughter cells. Vesicles, but not organelles, move through the phragmoplast, which consists of two opposing cylinders of microtubules and actin filaments, interlaced with endoplasmic reticulum membrane. To study physical aspects of this transport/inhibition process, we microinjected fluorescent synthetic 1,2-dioleoyl-sn-glycero-3-phospho-rac-1-glycerol (DOPG) vesicles and polystyrene beads into Tradescantia virginiana stamen hair cells. The phragmoplast was nonselective for DOPG vesicles of a size up to 150 nm in diameter but was a physical barrier for polystyrene beads having a diameter of 20 and 40 nm and also when beads were coated with the same DOPG membrane. We conclude that stiffness is a parameter for vesicle transit through the phragmoplast and discuss that cytoskeleton configurations can physically block such transit.

Microfluidics of cytoplasmic streaming and its implications for intracellular transport

Found in many large eukaryotic cells, particularly in plants, cytoplasmic streaming is the circulation of their contents driven by fluid entrainment from particles carried by molecular motors at the cell periphery. In the more than two centuries since its discovery, streaming has frequently been conjectured to aid in transport and mixing of molecular species in the cytoplasm and, by implication, in cellular homeostasis, yet no theoretical analysis has been presented to quantify these processes. We show by a solution to the coupled dynamics of fluid flow and diffusion appropriate to the archetypal "rotational streaming" of algal species such as Chara and Nitella that internal mixing and the transient dynamical response to changing external conditions can indeed be enhanced by streaming, but to an extent that depends strongly on the pitch of the helical flow. The possibility that this may have a developmental consequence is illustrated by the coincidence of the exponential growth phase of Nitella and the point of maximum enhancement of those processes.

Sliding movements of molluscan and algal myosin attached to a magnetizable bead under a load controlled by electromagnet

We developed an electromagnetic apparatus to perform a quick change in load in the motility system, using magnetizable beads on which myosin thick filaments from molluscan smooth muscle or green algae, Chara, myosin were attached. The quick change in load to beads (diameter 4.5 microm) was applied in the range of 0-85 pN. The movement of beads was recorded by a video-system and analyzed with special software. When the quick increase in load was applied during the movement of beads under no load, the beads showed a transient movement to the reverse direction before the steady slower movement to the normal direction. When the application of load was stopped, the beads showed a transient fast phase of movement. The change in load-sustaining ability was measured by a double load step. The backward velocity at the second constant test load was smaller when the first preceding step was increased, suggesting that the ability to sustain load was higher with a higher preceding step. These phenomena were observed both in molluscan thick filaments and in Chara myosin, and the time course of the movement of a bead was quite similar to those observed previously in frog single muscle fibers. This suggested that the velocity transients are the intrinsic properties induced by the interaction between actin and myosin, irrespective of the hexagonal lattice structure of filaments, the regular sarcomere structure, and myosin type, namely, that the molecule of myosin itself has the ability to adjust to mechanical circumstances.

An introduction to cell motility for the physical scientist

Directed, purposeful movement is one of the qualities that we most closely associate with living organisms, and essentially all known forms of life on this planet exhibit some type of self-generated movement or motility. Even organisms that remain sessile most of the time, like flowering plants and trees, are quite busy at the cellular level, with large organelles, including chloroplasts, constantly racing around within cellular boundaries. Directed biological movement requires that the cell be able to convert its abundant stores of chemical energy into mechanical energy. Understanding how this mechanochemical energy transduction takes place and understanding how small biological forces generated at the molecular level are marshaled and organized for large-scale cellular or organismal movements are the focus of the field of cell motility. This tutorial, aimed at readers with a background in physical sciences, surveys the state of current knowledge and recent advances in modeling cell motility.

Force-velocity relationships in actin-myosin interactions causing cytoplasmic streaming in algal cells

Cytoplasmic streaming in giant internodal cells of green algae is caused by ATP-dependent sliding between actin cables fixed on chloroplast rows and cytoplasmic myosin molecules attached to cytoplasmic organelles. Its velocity (>/=50 micro m s(-1)) is many times larger than the maximum velocity of actin-myosin sliding in muscle. We studied kinetic properties of actin-myosin sliding causing cytoplasmic streaming in internodal cell preparations of Chara corallina, into which polystyrene beads, coated with cytoplasmic myosin molecules, were introduced. Constant centrifugal forces directed opposite to the bead movement were applied as external loads. The steady-state force-velocity (P-V) curves obtained were nearly straight, irrespective of the maximum isometric force generated by cytoplasmic myosin molecules, indicating a large duty ratio of cytoplasmic myosin head. The large velocity of cytoplasmic streaming can be accounted for, at least qualitatively, by assuming a mechanically coupled interaction between cytoplasmic myosin heads as well as a large distance of unitary actin-myosin sliding.

Oxygen, homeostasis, and metabolic regulation

Even a cursory review of the literature today indicates that two views dominate experimental approaches to metabolic regulation. Model I assumes that cell behavior is quite similar to that expected for a bag of enzymes. Model II assumes that 3-D order and structure constrain metabolite behavior and that metabolic regulation theory has to incorporate structure to ever come close to describing reality. The phosphagen system may be used to illustrate that both approaches lead to very productive experimentation and significant advances are being made within both theoretical frameworks. However, communication between the two approaches or the two 'groups' is essentially nonexistent and in many cases (our own for example) some experiments are done in one framework and some in the other (implying some potential schizophrenia in the field). In our view, the primary paradox and problem which no one has solved so far is that essentially all metabolite concentrations are remarkably stable (are homeostatic) over large changes in pathway fluxes. For muscle cells O2 is one of the most perfectly homeostatic of all even though O2 delivery and metabolic rate usually correlate in a 1:1 fashion. Four explanations for this behavior are given by traditional metabolic regulation models. Additionally, there is some evidence for universal O2 sensors which could help to get us out of the paradox. In contrast, proponents of an ultrastructurally dominated view of the cell assume intracellular perfusion or convection as the main means for accelerating enzyme-substrate encounter and as a way to account for the data which have been most perplexing so far: the striking lack of correlation between changes in pathway reaction rates and changes in concentrations of pathway substrates and intermediates, including oxygen. The polarization illustrated by these two views of living cells extends throughout the metabolic regulation field (and has caused the field to progress along two surprisingly independent paths with minimal communication between them). The time may have come when cross talk between the two fields may be useful.

The metabolic implications of intracellular circulation

Two views currently dominate research into cell function and regulation. Model I assumes that cell behavior is quite similar to that expected for a watery bag of enzymes and ligands. Model II assumes that three-dimensional order and structure constrain and determine metabolite behavior. A major problem in cell metabolism is determining why essentially all metabolite concentrations are remarkably stable (are homeostatic) over large changes in pathway fluxes-for convenience, this is termed the [s] stability paradox. For muscle cells, ATP and O(2) are the most perfectly homeostatic, even though O(2) delivery and metabolic rate correlate in a 1:1 fashion. In total, more than 60 metabolites are known to be remarkably homeostatic in differing metabolic states. Several explanations of [s] stability are usually given by traditional model I studies-none of which apply to all enzymes in a pathway, and all of which require diffusion as the means for changing enzyme-substrate encounter rates. In contrast, recent developments in our understanding of intracellular myosin, kinesin, and dyenin motors running on actin and tubulin tracks or cables supply a mechanistic basis for regulated intracellular circulation systems with cytoplasmic streaming rates varying over an approximately 80-fold range (from 1 to >80 micrometer x sec(-1)). These new studies raise a model II hypothesis of intracellular perfusion or convection as a primary means for bringing enzymes and substrates together under variable metabolic conditions. In this view, change in intracellular perfusion rates cause change in enzyme-substrate encounter rates and thus change in pathway fluxes with no requirement for large simultaneous changes in substrate concentrations. The ease with which this hypothesis explains the [s] stability paradox is one of its most compelling features.