Problem on Introduction to Computational Neuroscience - Homework | MATH 680, Assignments of Number Theory

Download Problem on Introduction to Computational Neuroscience - Homework | MATH 680 and more Assignments Number Theory in PDF only on Docsity! MATH 680 Fall 2004 Introduction to Computational Neuroscience Homework Project 1. 1. Rewrite the matlab codes hhkinetics.m, hhtraces.m, and hhinject (name new functions: mlki- netics.m, mltraces.m, and mlinject.m) for the Morris-Lecar system of equations: CV̇ = −gCam∞(V ) (V − ECa)− gKn (V − VK)− gL (V − EL) + I, ṅ = φ n∞(V )− n τ(V ) , where m∞(V ) = 0.5 ( 1 + tanh ( V − ν1 ν2 )) , n∞(V ) = 0.5 ( 1 + tanh ( V − ν3 ν4 )) , τ(V ) = 1 cosh ( V−ν3 2ν4 ) . The parameter values are given in Table ML C 20 µF/cm2 EK −84mV gK 8ms/cm2 ECa 120mV gCa 4.4ms/cm2 EL −60mV gL 2ms/cm2 ν1 −1.2mV ν2 18mV ν3 2mV ν4 30mV φ 0.04ms−1 Plot the steady steady-state functions and the rate constant for the kinetics of ionic channels; time series for V and n. Experiment with the applied current to generate an action potential. Compare the action potentials produced by this and by the Hodgkin-Huxley model. 1