Biomedical subjects

Richard Law

Publications and source records attributed to Richard Law.

8 recordsLinked to original sources

PubMed2006

Sequentially assembled food webs and extremum principles in ecosystem ecology.

1. Successional changes during sequential assembly of food webs were examined. This was carried out by numerical methods, drawing one species at a time from a species pool and obtaining the permanent (persistent) community emerging at each step. Interactions among species were based on some simple rules about body sizes of consumers and their prey, and community dynamics were described in terms of flows of biomass density. 2. Sequential assembly acted as a sieve on the communities, assembled communities having many properties different on average from those of feasible, stable communities taken at random from the species pools. 3. Time-series of community development were consistent with certain functions thought to go to an extremum (maximum or minimum) in ecosystem ecology, including a rapid early increase in net primary productivity and ascendency, although a clear trend in total biomass density was not evident and resilience decreased rather than increased. 4. In addition, more gradual changes in food web structure took place during succession to which the ecosystem goal functions were relatively insensitive. These changes included gradual increases in the number of species, invasion resistance, number of loops of length > 2 and number of prey species per consumer species. 5. We therefore argue that ecosystem and community dynamics can offer complementary insights into the process of ecological succession. The extremum principles of ecosystem ecology highlight some of the major properties of succession, whereas the community ecology sheds light on some more subtle changes taking place within the networks.

Animals↗

PubMed2005

Molecular extensibility of mini-dystrophins and a dystrophin rod construct.

Muscular dystrophies arise with various mutations in dystrophin, implicating this protein in force transmission in normal muscle. With 24 three-helix, spectrin repeats interspersed with proline-rich hinges, dystrophin's large size is an impediment to gene therapy, prompting the construction of mini-dystrophins. Results thus far in dystrophic mice suggest that at least one hinge between repeats is necessary though not sufficient for palliative effect. One such mini-dystrophin is studied here in forced extension at the single molecule level. Delta2331 consists of repeats (R) and hinges (H) H1-R1-2 approximately H3 approximately R22-24-H4 linked by native (-) and non-native (approximately) sequence. This is compared to its core fragment R2 approximately H3 approximately R22 as well as an eight-repeat rod fragment middle (RFM: R8-15). We show by atomic force microscopy that all repeats extend and unfold at forces comparable to those that a few myosin molecules can generate. The hinge regions most often extend and transmit force while limiting tandem repeat unfolding. From 23-42 degrees C, the dystrophin constructs also appear less temperature-sensitive in unfolding compared to a well-studied betaI-spectrin construct. The results thus reveal new modes of dystrophin flexibility that may prove central to functions of both dystrophin and mini-dystrophins.

Algorithms↗

PubMed2004

On moment closures for population dynamics in continuous space.

A first-order moment closure, the mean-field assumption that organisms encounter one another in proportion to their spatial average densities, lies at the heart of much theoretical ecology. This assumption ignores all spatial information and, at the very least, needs to be replaced by a second-order closure to gain understanding of ecological dynamics in spatially structured populations. We describe a number of conditions that a second-order closure should satisfy and use these conditions to evaluate some closures currently available in the literature. Two conditions are particularly helpful in discriminating among the alternatives: that the closure should be positive, and that the dynamics should be unaltered when identical individuals are given different labels. On this basis, a class of closures we refer to as 'power-2' turns out to provide a good compromise between positivity and dynamical invariance under relabelling.

Animals↗

PubMed2004

Influence of lateral association on forced unfolding of antiparallel spectrin heterodimers.

Protein extensibility appears to be based broadly on conformational changes that can in principle be modulated by protein-protein interactions. Spectrin family proteins, with their extensible three-helix folds, enable evaluation of dimerization effects at the single molecule level by atomic force microscopy. Although some spectrin family members function physiologically only as homodimers (e.g. alpha-actinin) or are strictly monomers (e.g. dystrophin), alpha- and beta-spectrins are stable as monomeric forms but occur physiologically as alpha,beta-heterodimers bound laterally lengthwise. For short constructs of alpha- and beta-spectrin, either as monomers or as alpha,beta-dimers, sawtooth patterns in atomic force microscopy-forced extension show that unfolding stochastically extends repeats approximately 4-5-fold greater in length than native conformations. For both dimers and monomers, distributions of unfolding lengths appear bimodal; major unfolding peaks reflect single repeats, and minor unfolding peaks at twice the length reflect tandem repeats. Cooperative unfolding thus propagates through helical linkers between serial repeats (1, 2). With lateral heterodimers, however, the force distribution is broad and shifted to higher forces. The associated chains in a dimer can stay together and unfold simultaneously in addition to unfolding independently. Weak lateral interactions do not inhibit unfolding, but strong lateral interactions facilitate simultaneous unfolding analogous to serial repeat coupling within spectrin family proteins.

Amino Acid Sequence↗

PubMed2003

Adhesively-tensed cell membranes: lysis kinetics and atomic force microscopy probing.

Membrane tension underlies a range of cell physiological processes. Strong adhesion of the simple red cell is used as a simple model of a spread cell with a finite membrane tension-a state which proves useful for studies of both membrane rupture kinetics and atomic force microscopy (AFM) probing of native structure. In agreement with theories of strong adhesion, the cell takes the form of a spherical cap on a substrate densely coated with poly-L-lysine. The spreading-induced tension, sigma, in the membrane is approximately 1 mN/m, which leads to rupture over many minutes; and sigma is estimated from comparable rupture times in separate micropipette aspiration experiments. Under the sharpened tip of an AFM probe, nano-Newton impingement forces (10-30 nN) are needed to penetrate the tensed erythrocyte membrane, and these forces increase exponentially with tip velocity ( approximately nm/ms). We use the results to clarify how tapping-mode AFM imaging works at high enough tip velocities to avoid rupturing the membrane while progressively compressing it to a approximately 20-nm steric core of lipid and protein. We also demonstrate novel, reproducible AFM imaging of tension-supported membranes in physiological buffer, and we describe a stable, distended network consistent with the spectrin cytoskeleton. Additionally, slow retraction of the AFM tip from the tensed membrane yields tether-extended, multipeak sawtooth patterns of average force approximately 200 pN. In sum we show how adhesive tensioning of the red cell can be used to gain novel insights into native membrane dynamics and structure.

Cell Count↗

PubMed2003

Pathway shifts and thermal softening in temperature-coupled forced unfolding of spectrin domains.

Pathways of unfolding a protein depend in principle on the perturbation-whether it is temperature, denaturant, or even forced extension. Widely-shared, helical-bundle spectrin repeats are known to melt at temperatures as low as 40-45 degrees C and are also known to unfold via multiple pathways as single molecules in atomic force microscopy. Given the varied roles of spectrin family proteins in cell deformability, we sought to determine the coupled effects of temperature on forced unfolding. Bimodal distributions of unfolding intervals are seen at all temperatures for the four-repeat beta(1-4) spectrin-an alpha-actinin homolog. The major unfolding length corresponds to unfolding of a single repeat, and a minor peak at twice the length corresponds to tandem repeats. Increasing temperature shows fewer tandem events but has no effect on unfolding intervals. As T approaches T(m), however, mean unfolding forces in atomic force microscopy also decrease; and circular dichroism studies demonstrate a nearly proportional decrease of helical content in solution. The results imply a thermal softening of a helical linker between repeats which otherwise propagates a helix-to-coil transition to adjacent repeats. In sum, structural changes with temperature correlate with both single-molecule unfolding forces and shifts in unfolding pathways.

Circular Dichroism↗

PubMed2003

Cooperativity in forced unfolding of tandem spectrin repeats.

Force-driven conformational changes provide a broad basis for protein extensibility, and multidomain proteins broaden the possibilities further by allowing for a multiplicity of forcibly extended states. Red cell spectrin is prototypical in being an extensible, multidomain protein widely recognized for its contribution to erythrocyte flexibility. Atomic force microscopy has already shown that single repeats of various spectrin family proteins can be forced to unfold reversibly under extension. Recent structural data indicates, however, that the linker between triple-helical spectrin repeats is often a contiguous helix, thus raising questions as to what the linker contributes and what defines a domain mechanically. We have examined the extensible unfolding of red cell spectrins as monomeric constructs of just two, three, or four repeats from the actin-binding ends of both alpha- and beta-chains, i.e., alpha(18-21) and beta(1-4) or their subfragments. In addition to single repeat unfolding evident in sawtooth patterns peaked at relatively low forces (<50 pN at 1 nm/ms extension rates), tandem repeat unfolding is also demonstrated in ensemble-scale analyses of thousands of atomic force microscopy contacts. Evidence for extending two chains and loops is provided by force versus length scatterplots which also indicate that tandem repeat unfolding occurs at a significant frequency relative to single repeat unfolding. Cooperativity in forced unfolding of spectrin is also clearly demonstrated by a common force scale for the unfolding of both single and tandem repeats.

Elasticity↗

PubMed2002

Cheating and the evolutionary stability of mutualisms.

Interspecific mutualisms have been playing a central role in the functioning of all ecosystems since the early history of life. Yet the theory of coevolution of mutualists is virtually nonexistent, by contrast with well-developed coevolutionary theories of competition, predator-prey and host-parasite interactions. This has prevented resolution of a basic puzzle posed by mutualisms: their persistence in spite of apparent evolutionary instability. The selective advantage of 'cheating', that is, reaping mutualistic benefits while providing fewer commodities to the partner species, is commonly believed to erode a mutualistic interaction, leading to its dissolution or reciprocal extinction. However, recent empirical findings indicate that stable associations of mutualists and cheaters have existed over long evolutionary periods. Here, we show that asymmetrical competition within species for the commodities offered by mutualistic partners provides a simple and testable ecological mechanism that can account for the long-term persistence of mutualisms. Cheating, in effect, establishes a background against which better mutualists can display any competitive superiority. This can lead to the coexistence and divergence of mutualist and cheater phenotypes, as well as to the coexistence of ecologically similar, but unrelated mutualists and cheaters.

Animals↗