BME417HW6 - BME 417 HW6 1a v =-30mv 0.1#30 25 =...

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1 BME 417 HW6 1a. v = -30mv " m = 0.1*( # 30 + 25) exp( # 30 + 25 10 ) # 1 = 1.271 ms # 1 $ m = 4*exp( # 30/18) = 0.7556 ms # 1 o = 0.1*(25) exp( 25 10 ) # 1 = 0.2236 ms # 1 o = 4*exp(0) = 4 ms # 1 m ( t ) = m % # ( m % # m o )*exp( # t / m ) m ( t ) = m m + m # ( m m + m # o o + o )*exp( # ( m + m )* t ) m ( t ) = 0.6271 # 0.5742*exp( # 2.027* t ) where t is in ms. 1b. v=-30mv n = 0.1*( # 20) exp( # 20 10 ) # 1 = 0.2313 ms # 1 n = 0.125*exp( # 30/80) = 0.08591 ms # 1 v=0mv no = 0.1*(10) exp( 10 10 ) # 1 = 0.05820 ms # 1 no = 0.125*exp(1) = 0.125 ms # 1 n ( t ) = n % # ( n % # n o )*exp( # t / n ) n ( t ) = n n + n # ( n n + n # no no + no )*exp( # ( n + n )* t ) n ( t ) = 0.7292 # 0.4115*exp( # 0.3172* t ) where t is in ms.
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2 1c. v=-30mv " h = 0.07*exp( # 30/20) = 0.01562 ms # 1 $ h = 1/2 = 0.5 ms # 1 v=0mv ho = 0.07*exp(0) = 0.07 ms # 1 ho = 1 exp(3) + 1 = 0.04743 ms # 1 h ( t ) = h % # ( h % # h o )*exp( # t / h ) h ( t ) = h h + h # ( h h + h # ho ho + ho )*exp( # ( h + h )* t ) h ( t ) = 0.03029 # 0.56583*exp( # 0.5156* t ) where t is in ms. 1d.
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BME417HW6 - BME 417 HW6 1a v =-30mv 0.1#30 25 =...

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