Huma Zahir, Aisha Javaid, Rehana Rehman, Zahir Hussain
Statistical concepts in biology and health sciences
Journal of Ayub Medical College, Abbottabad : JAMC
recent results evidenced spontaneous brain activity signals organized bursts scale free features longrange spatiotemporal correlations observations stimulated theoretical interpretation results inspired critical phenomena particular relying maximum entropy arguments certain aspects timeaveraged experimental neuronal data recently described using isinglike models allowing study neuronal networks analogous thermodynamical framework method far applied variety experimental datasets never biologically inspired neuronal network short longterm plasticity apply first time maximum entropy method integrateandfire model tuned criticality offering controlled setting systematic study criticality finitesize effects spontaneous neuronal activity opposed experiments consider generalized ising hamiltonians whose local magnetic fields interaction parameters assigned according average activity single neurons correlation functions neurons networks critical state show hamiltonians exhibit spin glass phase low temperatures mostly negative intrinsic fields bimodal distribution interaction constants tends become unimodal larger networks results evidence magnetization response functions exhibit expected singular behavior near critical point furthermore also found networks higher percentage inhibitory neurons lead isinglike systems reduced thermal fluctuations finally considering neuronal pairs associated largest correlation functions allows study larger system sizes