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Biomedical subjects

George Oster

Publications and source records attributed to George Oster.

At least 19 recordsLinked to original sources

Endocytic vesicle scission by lipid phase boundary forces.

Endocytosis in budding yeast is thought to occur in several phases. First, the membrane invaginates and then elongates into a tube. A vesicle forms at the end of the tube, eventually pinching off to form a "free" vesicle. Experiments show that actin polymerization is an active participant in the endocytic process, along with a number of membrane-associated proteins. Here we investigate the possible roles of these components in driving vesiculation by constructing a quantitative model of the process beginning at the stage where the membrane invagination has elongated into a tube encased in a sheath of membrane-associated protein. This protein sheath brings about the scission step where the vesicle separates from the tube. When the protein sheath is dynamin, it is commonly assumed that scission is brought about by the constriction of the sheath. Here, we show that an alternative scenario can work as well: The protein sheath acts as a "filter" to effect a phase separation of lipid species. The resulting line tension tends to minimize the interface between the tube region and the vesicle region. Interestingly, large vesicle size can further facilitate the reduction of the interfacial diameter down to a few nanometers, small enough so that thermal fluctuations can fuse the membrane and pinch off the vesicle. To deform the membrane into the tubular vesicle shape, the membrane elastic resistance forces must be balanced by some additional forces that we show can be generated by actin polymerization and/or myosin I. These active forces are shown to be important in successful scission processes as well.

Endocytosis↗

From biochemistry to morphogenesis in myxobacteria.

Many aspects of metazoan morphogenesis find parallels in the communal behavior of microorganisms. The cellular slime mold D. discoideum has long provided a metaphor for multicellular embryogenesis. However, the spatial patterns in D.d. colonies are generated by an intercellular communication system based on diffusible morphogens, whereas the interactions between embryonic cells are more often mediated by direct cell contact. For this reason, the myxobacteria have emerged as a contending system in which to study spatial pattern formation, for their colony strutures rival those of D.d. in complexity, yet communication between cells in a colony is carried out by direct cell contacts. Here I sketch some of the progress my laboratory has made in modeling the life cycle of these organisms.

Animals↗

Mechanochemistry of transcription termination factor Rho.

Rho is a ring-shaped hexameric motor protein that translocates along nascent mRNA transcript and terminates transcription of select genes in bacteria. Using a numerical optimization algorithm that simultaneously fits all of the presteady-state ATPase kinetic data, we determine how Rho utilizes the chemical energy of ATP hydrolysis to translocate RNA. A random hydrolysis mechanism is ruled out by the observed inhibition of ATPase in a mixed hexamer containing wt and an inactive Rho mutant. We propose a mechanism in which (1) all six subunits are catalytically competent and hydrolyze ATP sequentially, (2) translocation of RNA is driven by the weak to tight binding transition of nucleotide in the catalytic site, (3) hydrolysis is coordinated between adjacent subunits by the transmission of stress via the catalytic arginine finger, (4) hydrolysis weakens the affinity of a subunit for RNA, and (5) the slow release of inorganic phosphate is controlled by changes in circumferential stress around the ring.

Adenosine Triphosphate↗

Accordion waves in Myxococcus xanthus.

Myxococcus xanthus are Gram-negative bacteria that glide on solid surfaces, periodically reversing their direction of movement. When starved, M. xanthus cells organize their movements into waves of cell density that sweep over the colony surface. These waves are unique: Although they appear to interpenetrate, they actually reflect off one another when they collide, so that each wave crest oscillates back and forth with no net displacement. Because the waves reflect the coordinated back and forth oscillations of the individual bacteria, we call them "accordion" waves. The spatial oscillations of individuals are a manifestation of an internal biochemical oscillator, probably involving the Frz chemosensory system. These internal "clocks," each of which is quite variable, are synchronized by collisions between individual cells using a contact-mediated signal-transduction system. The result of collision signaling is that the collective spatial behavior is much less variable than the individual oscillators. In this work, we present experimental observations in which individual cells marked with GFP can be followed in groups of unlabeled cells in monolayer cultures. These data, together with an agent-based computational model demonstrate that the only properties required to explain the ripple patterns are an asymmetric biochemical limit cycle that controls direction reversals and asymmetric contact-induced signaling between cells: Head-to-head signaling is stronger than head-to-tail signaling. Together, the experimental and computational data provide new insights into how populations of interacting oscillators can synchronize and organize spatially to produce morphogenetic patterns that may have parallels in higher organisms.

Bacterial Physiological Phenomena↗

Torque-speed relationship of the bacterial flagellar motor.

Many swimming bacteria are propelled by flagellar filaments driven by a rotary motor. Each of these tiny motors can generate an impressive torque. The motor torque vs. speed relationship is considered one of the most important measurable characteristics of the motor and therefore is a major criterion for judging models proposed for the working mechanism. Here we give an explicit explanation for this torque-speed curve. The same physics also can explain certain puzzling properties of other motors.

Bacterial Physiological Phenomena↗

Making ATP.

We present a mesoscopic model for ATP synthesis by F(1)F(o) ATPase. The model combines the existing experimental knowledge of the F(1) enzyme into a consistent mathematical model that illuminates how the stages in synthesis are related to the protein structure. For example, the model illuminates how specific interactions between the gamma, epsilon, and alpha(3)beta(3) subunits couple the F(o) motor to events at the catalytic sites. The model also elucidates the origin of ADP inhibition of F(1) in its hydrolysis mode. The methodology we develop for constructing the structure-based model should prove useful in modeling other protein motors.

Adenosine Diphosphate↗

How to make a spiral bacterium.

The motility of some kinds of bacteria depends on their spiral form, as does the virulence of certain pathogenic species. We propose a novel mechanism for the development of spiral shape in bacteria and the supercoiling of chains ('filaments') of many cells. Recently discovered actin-like proteins lying just under the cell wall form fibers that play a role in maintaining cell shape. Some species have a single actin-like fiber helically wrapped around the cell, while others have two fibers wrapped in the same direction. Here, we show that if these fibers elongate more slowly than growth lengthens the cell, the cell both twists and bends, taking on a spiral shape. We tested this mechanism using a mathematical model of expanding fiber-wound structures and via experiments that measure the shape changes of elongating physical models. Comparison of the model with in vivo experiments on stationary phase Caulobacter crescentus filaments provide the first evidence that mechanical stretching of cytoskeletal fibers influences cell morphology. Any hydraulic cylinder can spiral by this mechanism if it is reinforced by stretch-resistant fibers wrapped helically in the same direction, or shortened by contractile elements. This might be useful in the design of man-made actuators.

Actins↗

Mechanochemistry of t7 DNA helicase.

The bacteriophage T7 helicase is a ring-shaped hexameric motor protein that unwinds double-stranded DNA during DNA replication and recombination. To accomplish this it couples energy from the nucleotide hydrolysis cycle to translocate along one of the DNA strands. Here, we combine computational biology with new biochemical measurements to infer the following properties of the T7 helicase: (1) all hexameric subunits are catalytic; (2) the mechanical movement along the DNA strand is driven by the binding transition of nucleotide into the catalytic site; (3) hydrolysis is coordinated between adjacent subunits that bind DNA; (4) the hydrolysis step changes the affinity of a subunit for DNA allowing passage of DNA from one subunit to the next. We construct a numerical optimization scheme to analyze transient and steady-state biochemical measurements to determine the rate constants for the hydrolysis cycle and determine the flux distribution through the reaction network. We find that, under physiological and experimental conditions, there is no dominant pathway; rather there is a distribution of pathways that varies with the ambient conditions. Our analysis methods provide a systematic procedure to study kinetic pathways of multi-subunit, multi-state cooperative enzymes.

Algorithms↗

From continuum Fokker-Planck models to discrete kinetic models.

Two theoretical formalisms are widely used in modeling mechanochemical systems such as protein motors: continuum Fokker-Planck models and discrete kinetic models. Both have advantages and disadvantages. Here we present a "finite volume" procedure to solve Fokker-Planck equations. The procedure relates the continuum equations to a discrete mechanochemical kinetic model while retaining many of the features of the continuum formulation. The resulting numerical algorithm is a generalization of the algorithm developed previously by Fricks, Wang, and Elston through relaxing the local linearization approximation of the potential functions, and a more accurate treatment of chemical transitions. The new algorithm dramatically reduces the number of numerical cells required for a prescribed accuracy. The kinetic models constructed in this fashion retain some features of the continuum potentials, so that the algorithm provides a systematic and consistent treatment of mechanical-chemical responses such as load-velocity relations, which are difficult to capture with a priori kinetic models. Several numerical examples are given to illustrate the performance of the method.

Adenosine Triphosphate↗

MSP dynamics drives nematode sperm locomotion.

Most eukaryotic cells can crawl over surfaces. In general, this motility requires three sequential actions: polymerization at the leading edge, adhesion to the substrate, and retraction at the rear. Recent in vitro experiments with extracts from spermatozoa from the nematode Ascaris suum suggest that retraction forces are generated by depolymerization of the major sperm protein cytoskeleton. Combining polymer entropy with a simple kinetic model for disassembly we propose a model for disassembly-induced retraction that fits the in vitro experimental data. This model explains the mechanism by which disassembly of the cytoskeleton generates the force necessary to pull the cell body forward and suggests further experiments that can test the validity of the models.

Actins↗

Q & A. [interview].

George Oster is Professor of Biophysics, University of California, Berkeley. He received his B.S. at the U.S. Merchant Marine Academy and his Ph.D. at Columbia University. He began his career in biophysics as a postdoc at the Weizmann Institute under Aharon Katchalsky, where his research involved membrane biophysics and irreversible thermodynamics. His concern for environmental issues led him into population biology, which shaded into evolutionary biology and thence to developmental biology, cell biology and, most recently, protein motors and bacterial motility and pattern formation. His tools are mathematics, physics and computer simulation. He is currently a faculty member in the Departments of Molecular and Cellular Biology and the College of Natural Resources at Berkeley.

Bacteria↗

Developmental waves in myxobacteria: A distinctive pattern formation mechanism.

In early stages of their development, starving myxobacteria organize their motion to produce a periodic pattern of traveling cell density waves. These waves arise from coordination of individual cell reversals by contact signaling when they collide. Unlike waves generated by reaction-diffusion instabilities, which annihilate on collision, myxobacteria waves appear to pass through one another unaffected. Here we analyze a mathematical model of these waves developed earlier [Proc. Natl. Acad. Sci. USA 98, 14 913 (2001)]]. The mechanisms which generate and maintain the density waves are clearly revealed by tracing the reversal loci of individual cells. An evolution equation of reversal point density is derived in the weak-signaling limit. Linear stability analysis determines parameters favorable for the development of the waves. Numerical solutions demonstrate the stability of the fully developed nonlinear waves.

Cell Communication↗

Clocks and patterns in myxobacteria: a remembrance of Art Winfree.

At the beginning of their aggregation phase waves of cell density sweep across the surface of myxobacteria colonies. These waves are unlike any other in biology. Waves can be linear, concentric or spiral and when they collide, instead of annihilating one another they appear to pass through each other unchanged. Moreover, the wavelength determines the spacing and pattern of fruiting bodies that will rise up presaging sporulation. The explanation for these waves was suggested by the work of Art Winfree on cellular clocks, and confirmed by a mathematical model that explains all of the observed wave behavior. The story of how this model evolved illustrates the roles of chance and scientific networking in the search for the explanation of a new phenomenon.

Biological Clocks↗

A biochemical oscillator explains several aspects of Myxococcus xanthus behavior during development.

During development, Myxococcus xanthus cells produce a series of spatial patterns by coordinating their motion through a contact-dependent signal, the C-signal. C-signaling modulates the frequency at which cells reverse their gliding direction. It does this by interacting with the Frz system (a homolog of the Escherichia coli chemosensory system) via a cascade of covalent modifications. Here we show that introducing a negative feedback into this cascade results in oscillatory behavior of the signaling circuit. The model explains several aspects of M. xanthus behavior during development, including the nonrandom distribution of reversal times, and the differences in response of the reversal frequency to both moderate and high levels of C-signaling at different developmental stages. We also propose experiments to test the model.

Bacterial Proteins↗

Waves and aggregation patterns in myxobacteria.

Under starvation conditions, a population of myxobacteria aggregates to build a fruiting body whose shape is species-specific and within which the cells sporulate. Early in this process, cells often pass through a "ripple phase" characterized by traveling linear, concentric, and spiral waves. These waves are different from the waves observed during slime mold aggregation that depend on diffusible morphogens, because myxobacteria communicate by direct contact. The difference is most dramatic when waves collide: rather than annihilating one another, myxobacterial waves appear to pass through one another unchanged. Under certain conditions, the spacing and location of the nascent fruiting bodies is determined by the wavelength and pattern of the waves. Later in fruiting body development, waves are replaced by streams of cells that circulate around small initial aggregates enlarging and rounding them. Still later, pairs of motile aggregates coalesce to form larger aggregates that develop into fruiting bodies. Here we present a mathematical model that quantitatively explains these wave and aggregation phenomena.

Models, Biological↗

Asymmetry in the F1-ATPase and its implications for the rotational cycle.

ATP synthase uses a rotary mechanism to carry out its cellular function of manufacturing ATP. The central gamma-shaft rotates inside a hexameric cylinder composed of alternating alpha- and beta-subunits. When operating in the hydrolysis direction under high frictional loads and low ATP concentrations, a coordinated mechanochemical cycle in the three catalytic sites of the beta-subunits rotates the gamma-shaft in three 120 degrees steps. At low frictional loads, the 120 degrees steps alternate with three ATP-independent substeps separated by approximately 30 degrees. We present a quantitative model that accounts for these substeps and show that the observed pauses are due to 1), the asymmetry of the F(1) hexamer that produces a propeller-like motion of the power-stroke and 2), the relatively tight binding of ADP to the catalytic sites.

Adenosine Triphosphate↗

The junctional pore complex and the propulsion of bacterial cells.

Gliding motility is defined as translocation in the direction of the long axis of the bacterium while in contact with a surface. This definition leaves unspecified any mechanism and, indeed, it appears that there is more than one physiological system underlying the same type of motion. Currently, two distinct mechanisms have been discovered in myxobacteria. One requires the extension, attachment, and retraction of type IV pili to pull the cell forwards. Recent experimental evidence suggests that a second mechanism for gliding motility involves the extrusion of slime from an organelle called the 'junctional pore complex'. This review discusses the role of slime extrusion and the junctional pore complex in the gliding motility of both cyanobacteria and myxobacteria.

Cyanobacteria↗