Time to stop; agent-based modelling of chemoaffinity with competition

In the classic Chemoaffinity theory, the retinotectal axon projection is thought to use pairs of orthogonal signalling gradients in the retina to specify the eventual location of synapses made on the surface of the tectum/superior colliculus. Similar orthogonal gradients in the tectum provide a coordinate system which allows the axons to match their prespecified destination with the correct location. Although the Ephrins have been shown to guide axons toward their destination, there has yet to emerge a complete account of the local interactions which halt the axonal growth cones in the correct locations to recreate the topography of the retinal cells. The model of Simpson and Goodhill (2011) provides an account of the basic topographic arrangement of cells on the tectum, as well as reproducing well known surgical and genetic manipulation experiments. However, it suffers from the absence of a local chemotactic guidance mechanism. Instead, each agent in their model is given instantaneous knowledge of the vector that would move it toward its pre specified destination. In addition to the globally supervised chemoaffinity term, Simpson and Goodhill (2011) introduced a competitive interaction for space between growth cone agents and a receptor-ligand axon-axon interaction in order to account for the full set of experimental manipulations. Here, we propose the replacement of the chemoaffinity term with a gradient following model consisting of axonal growth cone agents which carry receptor molecule expression determined by their soma's location of origin on the retina. Growth cones move on the simulated tectum guided by two pairs of opposing, orthogonal signalling molecules representing the Ephrin ligands. We show that with only the chemoaffinity term and a receptor-ligand based axon-axon interaction term (meaning that all growth cone interactions are by receptor-ligand signalling), a full range of experimental manipulations to the retinotectal system can be reproduced. Furthermore, we show that the observation that competition is not and essential requirement for axons to find their way (Gosse et al., 2008) is also accounted for by the model, due to the opposing influences of signalling gradient pairs. Finally, we demonstrate that, assuming exponentially varying receptor expression in the retina, ligand expression should either be exponential if the receptor-ligand signal induces repulsion (i.e. gradient descent) or logarithmic if the signal induces attraction (gradient ascent). Thus, we find that a model analogous to the one we presented in James et al. (2020) that accounts for murine barrel patterning is also a candidate mechanism for the arrangement of the more continuous retinotectal system.

Activity-dependent alteration of early myelin ensheathment in a developing sensory circuit

Adaptive myelination has been reported in response to experimental manipulations of neuronal activity, but the links between sensory experience, corresponding neuronal activity, and resultant alterations in myelination require investigation. To study this, we used the Xenopus laevis tadpole, which is a classic model for studies of visual system development and function because it is translucent and visually responsive throughout the formation of this retinotectal system. Here, we report the timecourse of early myelin ensheathment in the Xenopus retinotectal system using immunohistochemistry of myelin basic protein (MBP) along with third-harmonic generation (THG) microscopy, a label-free structural imaging technique. Characterization of the myelination progression revealed an appropriate developmental window to address the effects of early patterned visual experience on myelin ensheathment. To alter patterned activity, we showed tadpoles stroboscopic stimuli and measured the calcium responses of retinal ganglion cell axon terminals. We identified strobe frequencies that elicited robust versus dampened calcium responses, reared animals in these strobe conditions for 7 d, and subsequently observed differences in the amount of early myelin ensheathment at the optic chiasm. This study provides evidence that it is not just the presence but also to the specific temporal properties of sensory stimuli that are important for myelin plasticity.

Revisiting Chemoaffinity Theory:Chemotactic Implementation of Topographic Axonal Projection

Neural circuits are wired by chemotactic migration of growth cones guided by extracellular guidance cue gradients. How growth cone chemotaxis builds the macroscopic structure of the neural circuit is a fundamental question in neuroscience. I addressed this issue in the case of the ordered axonal projections called topographic maps in the retinotectal system. In the retina and tectum, the erythropoietin-producing hepatocellular (Eph) receptors and their ligands, the ephrins, are expressed in gradients. According to Sperry’s chemoaffinity theory, gradients in both the source and target areas enable projecting axons to recognize their proper terminals, but how axons chemotactically decode their destinations is largely unknown. To identify the chemotactic mechanism of topographic mapping, I developed a mathematical model of intracellular signaling in the growth cone that focuses on the growth cone’s unique chemotactic property of being attracted or repelled by the same guidance cues in different biological situations. The model presented mechanism by which the retinal growth cone reaches the correct terminal zone in the tectum through alternating chemotactic response between attraction and repulsion around a preferred concentration. The model also provided a unified understanding of the contrasting relationships between receptor expression levels and preferred ligand concentrations in EphA/ephrinA- and EphB/ephrinB-encoded topographic mappings. Thus, this study redefines the chemoaffinity theory in chemotactic terms.Author SummaryThis study revisited the chemoaffinity theory for topographic mapping in terms of chemotaxis. According to this theory, the axonal growth cone projects to specific targets based on positional information encoded by chemical gradients in both source and target areas. However, the mechanism by which the chemotactic growth cone recognizes its proper terminal site remains elusive. To unravel this mystery, I mathematically modeled a growth cone exhibiting concentration-dependent attraction and repulsion to chemotactic cues. The model identified a novel growth cone guidance mechanism in topographic mapping, highlighting the importance of the growth cone’s unique ability to alternate between attraction and repulsion. Furthermore, an extension of the model provided possible molecular mechanisms for contrasting two types of topographic mappings observed in the retinotectal system.