## Some Mathematical Questions in Biology, Volume 1Discusses biological clocks, plus topics in ecology, neurobiology, and extinction |

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action potential activity amplitude of fluctuation approximately arrhythmicity assay pulse assumed axis behavior biology canonical density centroids circadian clock process coefficients constant consumers cophase contours cophase surface corresponding cortical cycle derived dF/dt diagonal elements distribution dx/dt E. O. Wilson eigenvalues emergence ensemble averages equilibrium density excitation experiment extinction rate Figure function gene frequency genetics given gives graph group selection Hamiltonian impulse increase inhibitory cells inputs interaction interpopulation isochron isoclines ith cell Liapunov function limit-cycle linear Mac Arthur mathematical matrix mean measured membrane potential mendelian selection metapopulation migrant selection neural equation neural net neuron nonlinear normally distributed obtained oscillator perturbation phase phaseless plane plot random region relaxation oscillator renewal theory represent resetting map resource result rhythm selection prevails shown singularity species stable stationary statistical mechanics synaptic threshold time-constant trajectory Type 0 resetting variable variance vector zero