Math Question 8: Consider three risky securities with expect…

Math Question 8: Consider three risky securities with expected returns µ1 = 0.08, µ2 = 0.10, µ3 = 0.16 and with the covariance matrix and its inverse given by Screenshot 2025-05-05 at 1.24.45 PM.png (a) Find the weights of the minimum variance portfolio with these three securities. (b) Does this portfolio involve short-selling? Answer each part of the question above on paper. Once completed, select “True” below.

In class we discussed the paper, “Optogenetics enables funct…

In class we discussed the paper, “Optogenetics enables functional analysis of human embryonic stem cell-derived grafts in a Parkinson’s disease model”. The figures below come from that paper. (FYI: Halorhodopsin-EYFP is the same thing as eNpHR3.0-EYFP) Match each panel (A, B, and C) with the mouse genotype that could be responsible for the data. 

In 2017, Dr. Michael Young along with two other individuals…

In 2017, Dr. Michael Young along with two other individuals won the Nobel Prize for their work elucidating mechanisms of the circadian clock. One of Dr. Young’s Nobel Prize winning experiments, was a forward genetic screen that identified a circadian clock mutant. The mutant actogram is shown below:     How did the mutation change the circadian rhythm?

In the INDIRECT pathway, the release of dopamine from neuron…

In the INDIRECT pathway, the release of dopamine from neurons in the substantia nigra (SNc) of neurons in the striatum that express the D2 receptor. Ultimately, this dopamine release makes neurons in the thalamus to fire an action potential. Thus, in the indirect pathway, the release of dopamine from the substantia nigra movement.