3. The following excerpt is taken from The laminar cortex model: a new continuum cortex model incorporating laminar architecture. J. Du, V. Vegh, and D.C. Reutens. PLoS Computational Biology. 8.10 (Oct. 2012). the average of membrane potentials of neurons in the element, that is V = Ne Ve + NiVi NetNi where Ne, Ni are the numbers of excitatory and inhibitory neurons and Ve and If are the (average) membrane potentials of excitatory and inhibitory neuron populations respectively. (a) View V as a function of Vi (in which case all remaining symbols on the right side represent parameters). Describe in words the graph of V. (b) View V as a function of Ni (in which case all remaining symbols on the right side represent parameters). What is the limit of V as Ni increases beyond any bounds (i.e., approaches co)? (c) View V as a function of Ve. What is the limit of V as Ve approaches -co