Molecular regulation of somatosensory neuron development

The somatosensory system of vertebrates perceives and transmits a variety of information from both external and internal environments to the central nervous system where an integrated response is established leading to adaptive outcome. Specific classes of sensory neurons convey the information consisting of touch, muscle stretch, temperature, itch, and pain. Each type of sensory neuron expresses a group of specific markers or proteins in order to perform a specialized function. However, the mechanisms that ensure the acquisition of various molecular traits by somatosensory neurons during development is still not fully understood. This doctoral thesis explores several early developmental events for different types of somatosensory neurons at molecular and cellular levels in order to reduce the gap of knowledge in this field. In Paper I and II, we investigated the neuronal specification of nociceptive neurons, which were derived from specific waves of neurogenesis. We found that PRDM12, an epigenetic regulator, was necessary for the entire nociceptive lineage to develop. In the absence of PRDM12, neural crest precursors failed to generate all of the nociceptive neurons. We also found that the key transcription factor RUNX1, which plays an important role in the diversification of nociceptive neurons, was induced by factors released by early born neurons, emphasizing the important influence of the environment created by early postmitotic neurons on the fate of later born neurons. In Paper III, we proposed a new cell selection model in the early cell death of sensory neurons using the proprioceptive neurons population as a model system. The canonical neurotrophic theory suggests similarity of neurons when competing for target-derived neurotrophins for their survival. However, our data showed that early proprioceptive neurons exhibit a molecular heterogeneity code leading to different capacities to survive already before the cell death period. Further, this capacity was intrinsically regulated by the transcription factor RUNX3 whose expression was defined by the surrounding morphogen retinoic acid. Finally, in Paper IV, we showed that the transcription factor RUNX3 controls the axonal growth rate of developing sensory neurons in a strict temporal and spatial manner. Taking advantage of both chicken embryos and mouse genetics, we observed that the difference in peripheral nerve growth at different axial levels was encoded by RUNX3 expression. In summary, the data collected in this thesis describes several new insights into the molecular regulation during the step-wise development of somatosensory neurons, including neurogenesis, neuronal specification, early cell death, and axonal growth. This knowledge will help us to the better understanding of the development of the somatosensory system as well as provide new knowledge that might help improving approaches of treatment for patients with somatosensory disorders such as congenital insensitivity to pain

Differentially Private Data Releasing for Smooth Queries with Synthetic Database Output

We consider accurately answering smooth queries while preserving differential privacy. A query is said to be $K$-smooth if it is specified by a function defined on $[-1,1]^d$ whose partial derivatives up to order $K$ are all bounded. We develop an $\epsilon$-differentially private mechanism for the class of $K$-smooth queries. The major advantage of the algorithm is that it outputs a synthetic database. In real applications, a synthetic database output is appealing. Our mechanism achieves an accuracy of $O (n^{-\frac{K}{2d+K}}/\epsilon )$, and runs in polynomial time. We also generalize the mechanism to preserve $(\epsilon, \delta)$-differential privacy with slightly improved accuracy. Extensive experiments on benchmark datasets demonstrate that the mechanisms have good accuracy and are efficient

Acyclic list edge coloring of outerplanar graphs

AbstractAn acyclic list edge coloring of a graph G is a proper list edge coloring such that no bichromatic cycles are produced. In this paper, we prove that an outerplanar graph G with maximum degree Δ≥5 has the acyclic list edge chromatic number equal to Δ