Consider the neuron below, which has a membrane resting potential of -70mV, membrane space constant of Imm, membrane time constant of 100ms, and spike firing threshold of -65mV. The neuron receives input from three synapses. Synapse A generates an EPSP of 12m amplitude and 2ms duration, synapse B generates an EPSP of 8mV amplitude and 1ms duration, and synapse C generates an IPSP with an amplitude of -2mV and duration of 3ms. A axon hillock 0.5mm B Justify your answers to the following questions mathematically (round distances to nearest 0.5mm). You can neglect propagation time (ie. assume EPSPS/IPSPS arrive at axon hillock at same time irrespective of distance). (a) Would the cell fire an action potential if A is active? (b) Would the cell fire an action potential if A and B are active simultaneously? (c) Would the cell fire an action potential if B is activated twice with a delay of 2ms? (d) Would the cell fire an action potential if all three are simultaneously active? (e) If an excitatory synapse were also located at C, how large must the EPSP be to fire an action potential?
Consider the neuron below, which has a membrane resting potential of -70mV, membrane space constant of Imm, membrane time constant of 100ms, and spike firing threshold of -65mV. The neuron receives input from three synapses. Synapse A generates an EPSP of 12m amplitude and 2ms duration, synapse B generates an EPSP of 8mV amplitude and 1ms duration, and synapse C generates an IPSP with an amplitude of -2mV and duration of 3ms. A axon hillock 0.5mm B Justify your answers to the following questions mathematically (round distances to nearest 0.5mm). You can neglect propagation time (ie. assume EPSPS/IPSPS arrive at axon hillock at same time irrespective of distance). (a) Would the cell fire an action potential if A is active? (b) Would the cell fire an action potential if A and B are active simultaneously? (c) Would the cell fire an action potential if B is activated twice with a delay of 2ms? (d) Would the cell fire an action potential if all three are simultaneously active? (e) If an excitatory synapse were also located at C, how large must the EPSP be to fire an action potential?
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Transcribed Image Text:Consider the neuron below, which has a membrane resting potential of -70mV, membrane space constant of
Imm, membrane time constant of 100ms, and spike firing threshold of -65mV. The neuron receives input from
three synapses. Synapse A generates an EPSP of 12mV amplitude and 2ms duration, synapse B generates an
EPSP of 8mV amplitude and Ims duration, and synapse C generates an IPSP with an amplitude of -2mV and
duration of 3ms.
A
axon hillock
0.5mm
Justify your answers to the following questions mathematically (round distances to nearest 0.5mm). You can
neglect propagation time (ie. assume EPSPS/IPSPS arrive at axon hillock at same time irrespective of distance).
(a) Would the cell fire an action potential if A is active?
(b) Would the cell fire an action potential if A and B are active simultaneously?
(c) Would the cell fire an action potential if B is activated twice with a delay of 2ms?
(d) Would the cell fire an action potential if all three are simultaneously active?
(e) If an excitatory synapse were also located at C, how large must the EPSP be to fire an action potential?
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