Homework #6 KEY Systems Bioengineering I, Fall 2013, page 1 of 10
Homework 6: Computational Models of the Myocyte
(100 points in total)
As per HW policy, ALL MATLAB code must be turned in along with
y
Homework #6 Systems Bioengineering I, Fall 2013, page 1 of 4
Homework 6: Computational Models of the Myocyte
(100 points in total)
As per HW policy, ALL MATLAB code must be turned in along with
your s
Homework #1 KEY Systems Bioengineering I, Fall 2013, page 1 of 8
Homework 1: Ion-channel permeation
(100 points in total)
1. (40 pts) Review of circuit analysis.
A. Consider the battery connected to a
Systems Bioengineering I HW VII Fall 2013
Page 1 of 10
Homework VII
Basic circulatory hydraulics and heart as a pump
(65 points total - will be scaled to 100 points)
Pressure Background
The cardiovasc
Homework #1 Systems Bioengineering I, Fall 2013, page 1 of 8
Homework 1: Ion-channel permeation
(100 points in total)
1. (40 pts) Review of circuit analysis.
A. Consider the battery connected to an in
Homework #5 KEY Systems Bioengineering I, Fall 2013, page 1 of 12
Homework 5: Contractile Mechanisms Part II: Huxley 57 Derivation and
Simulation, Types of Muscle, and Excel-baed Monte Carlo Simulatio
Homework #2 KEY Systems Bioengineering I, Fall 2013, page 1 of 10
Homework 2 KEY: Ion-channel gating (100 points in total)
1. (40 pts) Consider a simple human voltage-activated K channel with a single
Homework #11 Systems Bioengineering I, Fall 2013
Page 1 of 11
Homework 11:
Electrical Model of the circulation, Baroreceptor Reflex, Hemorrhage
(70 points total, will be scaled up to 100 points)
Elect
Homework #9 KEY Systems Bioengineering I, Fall 2013
Page 1 of 12
Homework 9:
Basic circulatory hydraulics and heart as a pump
(65 points total - will be scaled to 100 points)
Pressure Background
The c
Homework #10 Systems Bioengineering I, Fall 2013
Page 1 of 11
Homework 8:
Application of Poiseuilles Law, Compliance, and Starlings Filtration Hypothesis
(43 points total will be scaled to 100 points)
Homework #3 KEY Systems Bioengineering I, Fall 2012, page 1 of 7
Homework 3: More gating and action-potential generation KEY
(100 points in total)
1. (80 points total) ION-CHANNEL GATING (Shaker K cha
Homework #2: Systems Bioengineering I, Fall 2013, page 1 of 10
Homework 2: Ion-channel gating (100 points in total)
1. (40 pts) Consider a simple human voltage-activated K channel with a single n gate
Homework #3 Systems Bioengineering I, Fall 2012, page 1 of 7
Homework 3: More gating and action-potential generation
(100 points in total)
1. (80 points total) ION-CHANNEL GATING (Shaker K channels).
Homework #5 Systems Bioengineering I, Fall 2013, page 1 of 9
Homework 5: Contractile Mechanisms Part II: Huxley 57 Derivation and
Simulation, Types of Muscle, and Excel-baed Monte Carlo Simulation
(90
1
Homework Assignment: Propagating Action
Potentials
To simulate the propagating action potential along a ber of length l (from
left to right), Vm (x, t) has to be determined as the solution to the fo
1
Homework Assignment: Propagating Action
Potentials: Key
We need to solve the equation
a 2 Vm
Vm
= Cm
+ Iion
2
2i x
t
together with
Iion = Gk (Vm Ek ) + GN a (Vm EN a )
and the ODEs for the gating va
Set Initial
Conditions
Vm(n,0)=Vrest
m(n,0)=m(Vrest)
h(n,0)=h(Vrest)
n(n,0)=n(Vrest)
Set Boundary
Conditions
Vm(0,t)=V(2,t)
Vm(N-1,t)=V(N+1,t)
for t=0 to
t=timesteps*t
while 0<t<T
|ion=NNa*m4h*gNa*(Vm
Homework #8 Systems Bioengineering I, Fall 2013, page 1 of 3
Homework 8: Electrocardiography
(100 points in total)
1. (30 pts)
At rest, the heart rate of an individual is 60 beats/min. Under these con