You are here: Home / Exposures / Adrian, Chandler, Hodgkin, 1970 / Voltage clamp experiments in striated muscle fibres

Model Mathematics

Component based math viewer is available

Component: interface

IStimC = Istim

AmC = Am

Istim = \{\begin{matrix} IstimAmplitude if t \geq IstimStart \land t ≦ IstimEnd \land t - IstimStart - (⌊ \frac{t - IstimStart}{IstimPeriod} ⌋ IstimPeriod) ≦ IstimPulseDuration \\ 0 otherwise \end{matrix}

Component: membrane

\frac{d}{d t} (Vm) = \frac{Istim - (INa + IK + IL + IT)}{Cm}

Component: sodium_current

INa = gNa_max m m m h (Vm - ENa)

Component: sodium_current_m_gate

alpha_m = \frac{alpha_m_max (Vm - Em)}{1.0 - (ⅇ^{\frac{Em - Vm}{v_alpha_m}})} beta_m = beta_m_max ⅇ^{\frac{Em - Vm}{v_beta_m}} \frac{d}{d t} (m) = alpha_m (1.0 - m) - (beta_m m)

Component: sodium_current_h_gate

alpha_h = alpha_h_max ⅇ^{\frac{Eh - Vm}{v_alpha_h}} beta_h = \frac{beta_h_max}{1.0 + ⅇ^{\frac{Eh - Vm}{v_beta_h}}} \frac{d}{d t} (h) = alpha_h (1.0 - h) - (beta_h h)

Component: potassium_current

IK = gK_max n n n n (Vm - EK)

Component: potassium_current_n_gate

alpha_n = \frac{alpha_n_max (Vm - En)}{1.0 - (ⅇ^{\frac{En - Vm}{v_alpha_n}})} beta_n = beta_n_max ⅇ^{\frac{En - Vm}{v_beta_n}} \frac{d}{d t} (n) = alpha_n (1.0 - n) - (beta_n n)

Component: leak_current

IL = gL_max (Vm - EL)

Component: Ttubular_current

IT = \frac{Vm - Vt}{Rs}

Component: Ttubular_current_Vt_var

\frac{d}{d t} (Vt) = \frac{Vm - Vt}{Rs Ct}

Source: Derived from workspace Adrian, Chandler, Hodgkin, 1970 at changeset cdf8973b740d.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

License: This work is licensed under a Creative Commons Attribution 3.0 Unported License.

Voltage clamp experiments in striated muscle fibres