The　membrane　capacitance　of　a　neuron　can　influence　the　synaptic　efficacy　and　the　speed　of　electrical　signal　propagation.　Exploring　the　role　of　membrane　capacitance　will　help　facilitate　a　deeper　understanding　of　the　electrical　properties　of　neurons.　Thus,　in　this　paper,　we　investigated　the　neuronal　firing　behaviors　of　a　two-compartment　model　in　Purkinje　cells.　We　evaluated　the　influence　of　membrane　capacitance　under　two　different　circumstances:　in　the　absence　of　time　delay　and　in　the　presence　of　time　delay.　Firstly,　we　separately　studied　the　influence　of　somatic　membrane　capacitance　C-s　and　dendritic　membrane　capacitance　C-d　on　neuronal　firing　patterns.　Through　numerical　simulation,　we　observed　that　they　had　two　different　types　of　period-adding　scenarios,　i.e.　with　and　without　chaotic　bursting.　Secondly,　our　results　indicated　that　when　the　time　delay　was　included　in　the　model,　periodic　motions　were　more　inclined　to　be　destroyed,　while　at　the　same　time,　corresponding　new　chaotic　motions　were　induced.　These　findings　suggested　that　membrane　capacitance　and　time　delay　play　a　pivotal　functional　role　in　modulating　dynamical　firing　properties　of　neurons,　especially　aspects　which　lead　to　behaviors　which　result　in　changes　to　bursting　patterns.