BIOMATH108 modeling neurons

BIOMATH108 modeling neurons - O i we elao note the...

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Unformatted text preview: O i we elao note the branch“ m the tree. Conservation conetrer'nta. such as Kit-choirs Law {remember that?) Must be applied. The epproach that writ be described here reeutta In a set at hummer m differentiat eouetione with respect to tune. with conetant coetfioiente. The W variebtee are the voltages at the center of each compertrrtent in the eyeteni. These can be readily evaluated numerically. Whammy Considera portionota dendriteto be represented bye emu-indent: diameter D and tength L. Its voltage atthe center is designated as V. Tera with of current are modeted for this cylinder. the current that flows inside throng! its cm and the current that flows across rte outer membrane. Although the letter men! actually would flow across the membrane throughout the boom of the cm. it is repreeented ea flomng out at the center of the cylinder. However. the w W at In cylinder is taken into account when calculating the resistance to its flow and a term the relatea to capacitance in the membrane. t'. is the total internal resistance to meet mmmoghthecoreotthecwinder. rmiethereeietencetoflowmememm. c” is the totet capacitance in the membrane. E, is the 'reeting W at the membrane. We sewthiein the Hodgkin-Huxleynotee enderilehowhowitiederm tater on. That derivation depends on certee-t ion concentration: within and outetde at the dendrite under equilibrium conditions. For now. we aimuy we spacey a value. ...
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