CD4+ T cells can be directed towards multiple fates upon
activation.
1. Name 5 major fates of a CD4+ T cell upon
activation and state the stimulus that pushes them towards each
fate.
2. What are the major functions of CD4+ T cells
that take on each of these fates?
3. Differentiated T cells require continued
signals to maintain their functions. What signals do Th1 cells
need? What advantages might the requirement for continuous
signaling have?
4. There are feedback...
Consider the hypothesis test below.
H 0: p 1
- p 2 0
H a: p 1
- p 2 > 0
The following results are for independent samples taken from the
two populations.
Sample 1
Sample 2
n1 = 100
n2 = 300
p1 = 0.24
p2 = 0.13
Use pooled estimator of p.
What is the value of the test statistic (to 2
decimals)?
What is the p-value (to 4
decimals)?
With = .05, what is your hypothesis testing
conclusion?
In the fed state, glucose is directed towards certain metabolic
pathways in the liver
(many of which are regulated at least in part by insulin). Indicate
the potential metabolic fates
of glucose in the fed condition and indicate how glucose enters the
pathway (e.g., for entry into
the Pentose Phosphate Pathway, glucose must be converted to
Glucose-6-Phosphate by
Glucokinase).
Message passing is both time- and space-coupled – that is,
messages are both directed towards a particular entity and require
the receiver to be present at the time of the message send.
Consider the case of using the learning platform, where you connect
using URL “learning rather than an IP address and this name is
resolved using DNS. Does such a system exhibit the same level of
indirection?
A non-uniform b-spline curve knot vector is given as (-1, -1,
-1, -1/2, 0, 0, 0, 1, 1, 1, 3/2, 2, 2, 3, 3, 3, 3). Show the
equation diagrammatically and sketch the curve with their
respective control polygons if the curve is cubic (degree 3, order
4).
Consider Matrix A = ([5, 0, 4],[1, -1, 0],[1, 1, 0]). Note that
[5, 0, 4] is row 1. [1, -1, 0] is row 2. [1, 1, 0] is row 3.
a) Find all Eigenvalues and Eigenvectors.
1. Vector u =< 0,−1,3 > is given. Find a non zero vector v
which is perpendicular to u. Then find a vector w which is
perpendicular to both u and v. Explain the reason for your
selection clearly.
2. Find the slope of the tangent line to the parametric curve x
= 5 + sin(3θ) and y = −3 + 2tanθ at θ = π.
(a) Find the equation of the plane passing through the point
P(0, 0, 5) and the line x = 1 + t, y = 1 − t, z = 4 − 5t.
(b) Find parametric equations for the line passing through point
(1, 2, 3) and parallel to the line x = 2 − 3t, y = 4 + t, z =
2t.