Axonal chemotaxis is believed to be important in wiring up the developing and regenerating nervous system, but little is known about how axons actually respond to molecular gradients. We report a new quantitative assay that allows the long-term response of axons to gradients of known and controllable shape to be examined in a three-dimensional gel. Using this assay, we show that axons may be nature's most-sensitive gradient detectors, but this sensitivity exists only within a narrow range of ligand concentrations. This assay should also be applicable to other biological processes that are controlled by molecular gradients, such as cell migration and morphogenesis.

In the previous paper [Gligorijevic, B., et al. (2006) Biochemistry 45, pp 12400-12410], we reported on a customized Nipkow spinning disk confocal microscopy (SDCM) system and its initial application to DIC imaging of hemozoin within live, synchronized, intraerythrocytic Plasmodium falciparum malarial parasites. In this paper, we probe the biogenesis as well as the volume and pH regulation of the parasite digestive vacuole (DV), using the fluorescence imaging capabilities of the system. Several previous reports have suggested that mutant PfCRT protein, which causes chloroquine resistance (CQR) in P. falciparum, also causes increased acidification of the DV. Since pH and volume regulation are often linked, we wondered whether DV volume differences might be associated with CQR. Using fast acquisition of SDCM z stacks for synchronized parasites with OGd internalized into the DV, followed by iterative deconvolution using experimental point spread functions, we quantify the volume of the DV for live, intraerythrocytic HB3 (CQS), Dd2 (CQR via drug selection), GCO3 (CQS), and GCO3/C3(Dd2) (CQR via transfection with mutant pfcrt) malarial parasites as they develop within the human red blood cell. We find that relative to both CQS strains, both CQR strains show significantly increased DV volume as the organelle forms upon entry into the trophozoite stage of development and that this persists until the trophozoite-schizont boundary. A more acidic DV pH is found for CQR parasites as soon as the organelle forms and persists throughout the trophozoite stage. We probe DV volume and pH changes upon ATP depletion, hypo- and hypertonic shock, and rapid withdrawal of perfusate chloride. Taken together, these data suggest that the PfCRT mutations that cause CQR also lead to altered DV volume regulation.

Turbulent flows are highly intermittent--for example, they exhibit intense bursts of vorticity and strain. Kolmogorov theory describes such behaviour in the form of energy cascades from large to small spatial and temporal scales, where energy is dissipated as heat. But the causes of high intermittency in turbulence, which show non-gaussian statistics, are not well understood. Such intermittency can be important, for example, for enhancing the mixing of chemicals, by producing sharp drops in local pressure that can induce cavitation (damaging mechanical components and biological organisms), and by causing intense vortices in atmospheric flows. Here we present observations of the three components of velocity and all nine velocity gradients within a small volume, which allow us to determine simultaneously the dissipation (a measure of strain) and enstrophy (a measure of rotational energy) of a turbulent flow. Combining the statistics of all measurements and the evolution of individual bursts, we find that a typical sequence for intense events begins with rapid strain growth, followed by rising vorticity and a final sudden decline in stretching. We suggest two mechanisms which can produce these characteristics, depending whether they are due to the advection of coherent structures through our observed volume or caused locally.

The consistency of a nonlinear system's response to a repeated complex waveform drive signal is an important consideration in classical and quantum systems as diverse as lasers, neuronal networks, and manufacturing plants. We show from a consideration of different characteristic waveforms that there is typically an optimal drive amplitude for the most consistent response; internal noise sources dominate for small amplitude driving while deterministic system nonlinearity reduces consistency for large amplitudes. We test this general concept and its measurement experimentally and numerically on the specific example of a laser system.

We have customized a Nipkow spinning disk confocal microscope (SDCM) to acquire three-dimensional (3D) versus time data for live, intraerythrocytic malarial parasites. Since live parasites wiggle within red blood cells, conventional laser scanning confocal microscopy produces blurred 3D images after reconstruction of z stack data. In contrast, since SDCM data sets at high x, y, and z resolution can be acquired in hundreds of milliseconds, key aspects of live parasite cellular biochemistry can be much better resolved on physiologically meaningful times scales. In this paper, we present the first 3D DIC transmittance "z stack" images of live malarial parasites and use those to quantify hemozoin (Hz) produced within the living parasite digestive vacuole, under physiologic conditions. Using live synchronized cultures and voxel analysis of sharpened DIC z stacks, we present the first quantitative in vivo analysis of the rate of Hz growth for chloroquine sensitive (CQS) versus resistant (CQR) malarial parasites. We present data for laboratory strains, as well as pfcrt transfectants expressing a CQR conferring mutant pfcrt gene. We also analyze the rate of Hz growth in the presence and absence of physiologically relevant doses of chloroquine (CQ) and verapamil (VPL) and thereby present the first in vivo quantification of key predictions from the well-known Fitch hypothesis for CQ pharmacology. In the following paper [Gligorijevic, B., et al. (2006) Biochemistry 45, pp 12411-12423], we acquire fluorescent images of live parasite DV via SDCM and use those to quantify DV volume for CQS versus CQR parasites.