@article {SongENEURO.0031-15.2015, author = {Hanbing Song and John A. Hayes and Nikolas C. Vann and M. Drew LaMar and Christopher A. Del Negro}, title = {Mechanisms leading to rhythm cessation in the respiratory preB{\"o}tzinger complex due to piecewise cumulative neuronal deletions}, elocation-id = {ENEURO.0031-15.2015}, year = {2015}, doi = {10.1523/ENEURO.0031-15.2015}, publisher = {Society for Neuroscience}, abstract = {The mammalian breathing rhythm putatively originates from Dbx1-derived interneurons in the preB{\"o}tzinger complex (preB{\"o}tC) of the ventral medulla. Cumulative deletion of \~{}15\% of Dbx1 preB{\"o}tC neurons in an in vitro breathing model stops rhythmic bursts of respiratory-related motor output. Here we assemble in silico models of preB{\"o}tC networks using random graphs for structure, and ordinary differential equations for dynamics, to examine the mechanisms responsible for the loss of spontaneous respiratory rhythm and motor output measured experimentally in vitro. Model networks subjected to cellular ablations similarly discontinue functionality. However, our analyses indicate that model preB{\"o}tC networks remain topologically intact even after rhythm cessation, suggesting that dynamics coupled with structural properties of the underlying network are responsible for rhythm cessation. Simulations show that cumulative cellular ablations diminish the number of neurons that can be recruited to spike per unit time. When the recruitment rate drops below 1 neuron/ms the network stops spontaneous rhythmic activity. Neurons that play pre-eminent roles in rhythmogenesis include those that commence spiking during the quiescent phase between respiratory bursts and those with a high number of incoming synapses, which both play key roles in recruitment, i.e., recurrent excitation leading to network bursts. Selectively ablating neurons with many incoming synapses impairs recurrent excitation and stops spontaneous rhythmic activity and motor output with lower ablation tallies compared to random deletions. This study provides a theoretical framework for the operating mechanism of mammalian central pattern generator networks and their susceptibility to loss of function in the case of disease or neurodegeneration.Significance Statement: Interneurons of the preB{\"o}tzinger complex (preB{\"o}tC) play an essential role in respiratory rhythmogenesis in rodents, which may apply to mammals in general, including humans. Piecewise destruction of the preB{\"o}tC, which retains spontaneous function in vitro, impairs rhythmicity and eventually irreversibly terminates respiratory rhythmogenesis. However, little is known regarding the reason for rhythm cessation. The present study shows that basic network structure is retained, but nevertheless cumulative neuron deletions disturb the process of recurrent excitation, leading to the failure of burst initiation and the loss of spontaneous rhythmic activity. This study proposes a plausible explanation for how the respiratory oscillator loses functionality when subject to piecewise destruction, which could help explain neurodegenerative disease etiology.}, URL = {https://www.eneuro.org/content/early/2015/08/18/ENEURO.0031-15.2015}, eprint = {https://www.eneuro.org/content/early/2015/08/18/ENEURO.0031-15.2015.full.pdf}, journal = {eNeuro} }