261 Matching Annotations
  1. Aug 2024
    1. We begin our simulations with the most conservative and well-documented numbers available. Startingwith the endpoint of 6.1% decline in all-cause mortality, we mapped the first phase of the TAME trial,TAME-Vanguard, to estimate who might benefit from this intervention. The trial designers (whom weinterviewed) estimate that roughly 50% of non-diabetic adults over the age of 65 would potentially benefitfrom metformin therapy. Yet actual enrollment in the trial is expected to be about 11%. This is because a)many people will decline to adhere to metformin over the trial duration of 6 years; b) some will bedisqualified due to severe preexisting conditions (e.g. late-stage cancer); c) some will not have exactly onepre-existing disease of aging; and d) the TAME trial disqualifies participants with an existing diabetesdiagnosis, since its goal is to measure the effects of an existing therapeutic on biological aging. This actualenrollment rate of 11% is a conservative estimate of the actual treatment population. Yet it serves as auseful benchmark for the added economic effects of metformin use by the normally aging, non-diabeticpopulation.We arrive at a population-wide reduction in mortality of 6.1% X 0.11 = 0.67%. The endpoints of theTAME trial, mapped in this way, result in a 0.67 percent decline in mortality rates on average for all U.S.35

      Confusing

    Annotators

  2. Jun 2024
    1. Price: $ per share (the Original Purchase Price). TheOriginal Purchase Price represents a fully diluted premoney valuation of $ million and a fully diluted postmoney valuationof $ million. For purposes of the above calculation and anyother reference to fully diluted in this term sheet, fully dilutedassumes the conversion of all outstanding preferred stock of theCompany, the exercise of all authorized and currently existingstock options and warrants of the Company, and the increase ofthe Company's existing option pool by [X] shares prior to thisfinancing.35

      Let’s say an investor is interested in investing in a startup. Here’s how the terms might look in a real example:

      •   Price: $10 per share (the Original Purchase Price).
      •   Fully Diluted Premoney Valuation: $50 million. This means that before the new investment, the company is valued at $50 million, considering all potential shares.
      •   Fully Diluted Postmoney Valuation: $60 million. After the investment, the company is valued at $60 million, considering all potential shares.
      

    Annotators

    1. In the light of 1) thelower phosphorylation potential within the mitochondrialmatrix compared with the cytosol and 2) the lack ofCr-utilizing processes in the mitochondrial matrix, it isquestionable whether and to what extent Cr accumulationin the matrix is physiologically relevant or is due topostmortem or other artifacts

      might be good, considering most mitochdonrial CK is in heart

    2. Resting type 2a and 2b skeletal muscle fibers of ro-dents contain ;32 mM PCr and 7 mM Cr, whereas type 1fibers comprise ;16 mM PCr and 7 mM Cr (525). Thedifference in PCr concentration between type 1 and type2 muscle fibers is less pronounced in humans (337, 844,1042); nevertheless, the concentration of total Cr seems toparallel the muscle glycolytic capacity in both rodents andhumans. In serum and erythrocytes, as opposite ex-tremes, [Cr] amounts to only 25–100mM and 270 – 400mM,respectively (175, 776, 1137), implying that Cr has to beaccumulated by most Cr-containing tissues against a largeconcentration gradient from the blood.

      not good - means we need more creatine bound AAS to even get in skeletal muscle b/c o.w. it wont be carried in blood

    Annotators

  3. Jan 2024
    1. Tryptophan is sometimes considered a borderline member of this group be-cause it can interact favorably with water via the NOH moiety of the indole ring. Pro-line, strictly speaking, is not an amino acid but rather an -imino acid

      what does this mean

    2. Tryptophan (Trp, W)

      What are rings

    Annotators

    1. With CGTs, there is the need to release product batches as close toreal time as possible due to inherent product instability. As CGTs arelive products, cannot be terminally sterilised and should thus be treatedas aseptic goods.

      gene therapy materials seem to get contaminated very easily? why?

    2. just-in-time’ inventory

      This means they order and receive supplies as they need them, rather than keeping large stocks on hand. While this can be cost-effective, it also means there's little room for error or delay in the supply chain.

    Annotators

    1. transfected

      Transfection is a laboratory method used to introduce foreign genetic material (like DNA or RNA) into cells.

      They are transfecting these cells to produce the viral particles they want to use for gene therapy

    Annotators

  4. Sep 2023
    1. Table 2. Expenditures (in Inflation Adjusted Dollars) on Drugs Based on Location of Sale, 2016-2021

      Calculate percentages here maybe

      Find costs for drugs in each of these settings? hmm

    1. If this activity did not result in an interception of the ball by thepaddle, an unpredictable stimulus was delivered (150mV voltageat 5Hz for 4 seconds; see STAR Methods), after which time theball stimulation would recommence on a random vector. Incontrast, if a successful interception occurred, a predictablestimulus was delivered across all electrodes simultaneously at100Hz for 100ms (briefly interrupting the regular sensory stimu-lation) before the game continued predictably.

      not really sure what this means. If the result when the neurons fail the Pong game is predictably 150mV &5Hz for 4 seconds, how is that unpredictable?

      Are they just using a nicer word for punishment lol

  5. Jul 2023
  6. Jun 2023
    1. βi = Cov[R i R M]Var[R M]

      kinda similar to sharpe?

    2. The slope of the line joining the portfolio  to the risk-free asset iss = μ  − rσ .This is an important quantity, it is a measure of the likelihood of  having a returnthat exceeds r.

      this is the sharpe ratio, yo!

    3. 2W(1 − W )ρσAσE

      This is the covariance term. It accounts for the extent to which Asset A and Asset E move together.

    4. u

      drift of interest rate

    5. w

      volatility of interest rate

    6. Not only does A now get floating, as originally wanted, but it is 25 bps better than ifthey had borrowed directly at the floating rate. There’s still another 25 bps missing, and,of course, B gets this. B pays LIBOR plus 100 bps and also 6.95% to A while receivingLIBOR from A. This nets out at 7.95%, which is fixed, as required, and 25 bps less thanthe original deal

      Direct Borrowing: If Company A borrows at the floating rate and Company B borrows at the fixed rate directly from lenders, their total interest is LIBOR + 8.5%.

      Opportunity for Savings: They notice that if they could somehow work together, they could lower the total interest to LIBOR + 8%, saving 0.5%.

      The Swap: Company A decides to borrow at a 7% fixed rate, and Company B borrows at LIBOR + 1% floating rate (opposite of what they want). They then agree to swap interest payments:

      Company A agrees to pay LIBOR to Company B. Company B agrees to pay Company A a fixed rate (let's call it 'x'). Finding the Fixed Rate for Swap (x): They want to divide the 0.5% saving equally (0.25% for each). So they set 'x' in such a way that Company A’s net payment is LIBOR + 0.05%, and Company B’s net payment is 7.95% fixed. Through some calculations, they find that 'x' should be 6.95%.

      Results:

      Company A ends up effectively paying a floating rate of LIBOR + 0.05%, which is better than if they borrowed directly. Company B ends up effectively paying a fixed rate of 7.95%, which is also better than if they borrowed directly.

    7. e− ∫ Tt r(τ )dτ

      So, why are we integrating the spot rates? It's because we are dealing with continuously compounded interest rates, and the spot rate r(τ) can be a function that varies over time. The integral represents the accumulated value of the spot rates from time t to T. It's like asking, "if the interest rate varies continuously, what's the equivalent constant rate that, if applied over the same time period, would have the same effect?"

    8. forward rates

      An example where using forward rates is more advantageous than using the yield to maturity (YTM) is in interest rate risk management, specifically in constructing an immunized bond portfolio.

      Suppose you are a portfolio manager who has the obligation to pay a fixed amount of money at a specific future date. For example, a pension fund manager who needs to make payments to retirees 10 years from now.

      Let’s see how using forward rates would be beneficial:

      Using YTM: If you use the yield to maturity, you might invest in a 10-year bond believing that the YTM is representative of the average return you will earn annually over the next 10 years. However, YTM assumes that all the intermediate coupons are reinvested at the same yield, which may not be realistic, as interest rates fluctuate. If interest rates decrease in the future, you will not be able to reinvest the coupons at the same rate, and the realized return will be less than the YTM.

      Using Forward Rates: Instead, you can use forward rates to immunize your bond portfolio. By understanding how forward rates change, you can construct a portfolio of bonds with different maturities in such a way that regardless of how interest rates change, your portfolio will be worth a specific amount at the time when you have to make the payments. This is achieved by matching the duration of the portfolio to the time horizon and ensuring that the portfolio's convexity and cash flows are appropriately managed.

      By using forward rates, you can estimate more accurately the interest rates at which the future coupon payments can be reinvested. With this information, you can allocate assets in such a way that the total return over the time horizon matches the obligations, irrespective of the interest rate fluctuations.

      In this example, the forward rate approach allows for a more sophisticated and accurate risk management strategy than simply relying on YTM, making it preferable for ensuring that the portfolio is adequately immunized against interest rate risks. This is particularly important for institutional investors such as pension funds, insurance companies, or any entity with fixed future liabilities.

    9. V(t; T) = e− ∫ Tt r(τ )dτ .

      This equation gives the value of a zero-coupon bond at time t, which matures at time T, in terms of the spot interest rate r(t). The integral represents the accumulated interest rate from time t to T.

    10. TIME-DEPENDENT INTEREST RATE
    11. Macaulay duration

      It tells you that duration can be thought of as the average time it takes to receive the bond's cash flows (coupon, return of principal). In the formula for duration, each time of coupon payment is weighted by its present value, so the more a coupon contributes to the bond's value, the more it affects the duration.

    12. accrued interest.

      Bonds typically pay interest to their holders periodically (e.g., every 6 months). When you buy a bond between these payment dates, you have to compensate the seller for the interest that has built up since the last payment. This compensation is called accrued interest. It's calculated by taking the interest amount that the bond pays in a full period and multiplying it by the fraction of the period that has passed since the last payment.

      For example, if a bond pays $20 in interest every 6 months and you are buying it 3 months after the last payment, the accrued interest would be $20 * (3/6) = $10.

    13. Repos can be used to lock in future interest rates. For example, buy a six-monthTreasury bill today and repo it out for three months. There is no cash flow today since thebond has been paid for (money out) and then repoed (same amount in). In three months’time you will have to repurchase the bill at the agreed price, this is an outflow of cash. Insix months you receive the principal. Money out in three months, money in in six months,for there to be no arbitrage the equivalent interest rate should be that currently prevailingbetween three and six months’ time.

      Now let's go through the example provided step by step:

      Buying the Treasury bill: Suppose you buy a six-month Treasury bill (T-bill). A T-bill is basically a short-term government bond that you can buy at a discount, and the government will pay you the face value upon maturity (in this case, in six months).

      Repo it out for three months: Instead of holding onto the T-bill, you enter into a repurchase agreement, which means you sell the T-bill to someone else with an agreement to buy it back at a future date (in this case, three months) at a specified price. The amount you receive from this repurchase agreement is the same as what you paid for the T-bill. This means that initially, you haven't gained or lost any money since what you paid to buy the T-bill equals what you received when you entered the repo.

      Buying back the T-bill: In three months, you have to repurchase the T-bill as per the agreement. This means you pay back the amount you initially received plus a little extra (this extra amount is effectively the interest on the 'loan'). This is an outflow of cash.

      Receiving the principal at maturity: In six months (when the T-bill matures), the government pays you the face value of the T-bill. This is an inflow of cash.

    14. pay for all the upside potential,

      the premium

    15. D2 − D1

      Regarding the term D2 −D1, think of D1 and D2 as dividend yields for assets 1 and 2, respectively. The term can be interpreted as the relative net dividend yield when considering the ratio ξ. When you construct a ratio of two assets, you effectively look at the performance of one asset relative to another. The difference in the dividends reflects how dividends from one asset erode or increase the value relative to the other asset.

      The risk-free rate seems to be absorbed into the terms D1 and D2. Generally, in option pricing, the risk-free rate comes into play as a discount factor. However, in the transformation, the risk-free rate can be considered as part of the general constants D1 and D2. Essentially, these terms can represent the net effect of dividends and the risk-free rate. Note that this representation is not directly the Black-Scholes model but is an adapted version for the particular problem.

    16. If this is the case, then instead of finding a function V of three variables, we only need finda function H of two variables, a much easier task.

      By converting V(S1, S2, t) to a function composed of ξ and t, where ξ = S1/S2 (giving us some idea of the relationship of how S1 changes to S2, which is what we're trying to get at anyway), we reduce a lot of pain by making it 2 dimensional problem again!

    17. THE PRICING FORMULA FOR EUROPEANNON-PATH-DEPENDENT OPTIONS ONDIVIDEND-PAYING ASSETS

      This expression is a mathematical representation of the value of an option taking into account multiple underlying assets and their statistical properties. It integrates over all possible paths the underlying assets can take to calculate the expected payoff of the option, discounted to present value. This kind of model is commonly used in financial mathematics to price complex derivatives.

    18. exp(− 12 αT −1α)

      This term inside the integral represents the weighting for each path in the multivariate normal distribution.

    19. The correlation is then1δt(M − 1)σiσjM∑k=1(R i(tk ) − R i)(R j(tk ) − Rj

      ρ = Σ( (X - mean(X)) * (Y - mean(Y)) ) / [(n-1) * std(X) * std(Y)]

      Downside here ofc is that this is historical correlation between two assets. That is always subject to change

    20. P.S. I don’t believe in correlations among financial assets.

      Bruh

    21. ρij

      ρ = Σ( (X - mean(X)) * (Y - mean(Y)) ) / [(n-1) * std(X) * std(Y)]

    22. 12d∑i=1d∑j=1σiσjρij

      Σ = M * Rho * M

      This equation essentially scales the correlations by the respective volatilities of the assets. In the resulting covariance matrix:

      The diagonal elements Σ_ii represent the variance of asset i, which is σ_i^2 (the volatility squared). The off-diagonal elements Σ_ij represent the covariance between asset i and asset j, which is σ_i * σ_j * ρ_ij. This covariance matrix is essential in finance, especially in portfolio theory, for understanding and managing the risks associated with a portfolio of multiple assets.

    23. Ch(S, TCh) = max(V1 (S, TCh) − E1 , V2 (S, TCh) − E2 , 0)

      allow you to choose whichever is more valuable

    24. With the chooser option the holder can choose whether to receive a callor a put, for example.

      yes, really

    25. The rolesof the asset dimension and the time dimension are quite different from each other, asdiscussed in Chapter 7 on the diffusion equation. This is because the governing equation,the Black–Scholes equation, contains a second asset-price derivative but only a first timederivative.

      The fact that the Black-Scholes equation has a second derivative with respect to asset price but only a first derivative with respect to time illustrates that the model considers changes in the asset price to have a more complex effect on the option's value compared to the passage of time.

      In simpler terms, the model pays more attention to the twists and turns of the asset's price than to how much time is passing.

    26. simple arbitrage considerationslead to

      Imagine if this wasn’t true. Let’s say, for example, the paper was worth $12 just before the money was paid and remained $12 just after. You could make free money by buying this paper for $12, instantly getting $10, and still having the paper worth $12. This is what's called an "arbitrage opportunity", meaning you could make risk-free profit. But in real life, such opportunities are usually not there because prices adjust to avoid them.

    27. highly path dependent

      It means that the profit you make is sensitive to the specific movements of the underlying asset's price over time (the path it takes). The gamma will change as the asset price moves, affecting the profit.

    28. And to make a profit all we need to know is that actual isalways going to be greater than implied (if we are buying) or always less (if we are selling)

      Having a directional view that the actual volatility is greater or less than the implied volatility involves analyzing various factors and employing different strategies. Here are a few ways in which traders and investors might develop such a view:

      Historical Volatility Analysis: By analyzing the historical volatility of the underlying asset, one might be able to identify patterns or trends. If the historical volatility has generally been higher than the current implied volatility, one might expect that trend to continue.

      Market Events and News: Upcoming events such as earnings reports, economic data releases, or other significant news can cause the actual volatility to change. If an investor anticipates that an upcoming event will cause the stock price to move more than what is currently priced in by the implied volatility, they might have a view that the actual volatility will be higher.

      Volatility Term Structure: By looking at the term structure of implied volatility (i.e., implied volatilities of options with different expiration dates), one can sometimes infer market expectations. If short-term implied volatilities are much higher than long-term implied volatilities, it might be an indication that the market expects high volatility in the near term.

      Global Market Conditions: Broader market conditions can impact volatility. For example, during periods of market stress or financial crises, actual volatility tends to spike. If an investor believes that current market conditions are calm but are likely to become turbulent, they might expect actual volatility to be higher than implied.

      Relative Value Analysis: By comparing the implied volatility of the asset in question to the implied volatilities of similar assets or to a volatility index like the VIX, an investor might identify discrepancies. For example, if the implied volatility of an asset is low relative to its sector or the overall market, an investor might expect actual volatility to be higher.

      Technical Analysis: Some traders use technical analysis and charting techniques to predict future movements in volatility. Certain patterns or indicators, such as Bollinger Bands, can sometimes give traders insights into future volatility.

      Sentiment Analysis: Analyzing the sentiment of market participants through surveys, social media analysis, or other means can sometimes give insights into expected market movements. For example, if there is a lot of pessimism and fear in the market, this might be an indication that volatility could increase.

      Arbitrage Opportunities: Sophisticated traders might look for arbitrage opportunities between options and other derivatives. If, for example, variance swaps are priced with a different volatility than options, there might be an arbitrage opportunity which suggests a discrepancy between implied and actual volatility.

      It's important to note that predicting the future is inherently uncertain and there's always a risk involved. This is why risk management and diversification strategies are crucial when actively trading or investing based on volatility views.

    29. we are replicating a short position in a correctly pricedoption.

      this is for the hedge. we are still long the option. the trick here is that we're shorting the option as if it were priced with the actual volatility

    30. But we still onlyhave the one traded quantity to hedge with, the stock. We can’t hedge with volatility toremove volatility risk because that isn’t traded.

      isn't volatility traded though through some ETFs?

    31. In practice, the volatility of the underlying is not known with certainty.

      At the expiry of an option contract, it should be very low, no? Volatility crush?

      Edit: big difference here between implied volatility and real volatility. Oops!

    32. both delta and gamma are zero

      Meaning: both the delta and gamma of your portfolio (which is composed of multiple options) are zero.

    33. F(X(t + δt)) − F(X(t)) =∫ t+δttdFdX (X(τ ))dX(τ ) + 12∫ t+δttd2FdX2 (X(τ ))dτ

      This is basically how the derivative is classically derived - but in this case, for random variables

    34. the summation at the left-hand pointtj−1 . It will be crucially important that each function evaluation does not know about therandom increment that multiplies it, i.e. the integration is non anticipatory.

      since this is a Riemann sum, we can only use the left side of the discrete quantity we're summing

    35. E[S6|R1 , . . . , R5 ] = S5

      The conditional expectation E[S_6|R_1, ..., R_5] represents this expectation. Knowing the outcomes of the first five tosses, our best estimate for the sum after the sixth toss is simply the sum after five tosses (S_5) plus the expected outcome of the sixth toss. Since the sixth toss is still random and has an expected value of 0 (equally likely to be heads or tails), the best estimate for S_6 given the outcomes of the first five tosses is S_5.

    36. E[dX2 ] = dt

      The variance represents how spread out the particle's position can be around its starting point. Since each tiny movement is random and independent, the "spread" of positions increases as more time passes, and this increase is linear with time, just like in the discrete random walk.

    37. You can think of dX as being a random variable,drawn from a Normal distribution with mean zero andvariance dt

      The expected value of dX is 0 (mean zero):

      This reflects the fact that, over an infinitesimally small time interval, the Wiener process does not have any directional bias. In other words, it is equally likely to go up or down. This is similar to the random walk theory where each step is independent and has no tendency to favor any direction. In the context of asset prices, this models the unpredictability of very short-term movements.

      The expected value of dX squared is equal to the infinitesimal time step dt:

      This reflects the variance of the Wiener process over the infinitesimal time interval dt. Recall that variance is a measure of how spread out the values in a distribution are. In the case of the Wiener process, the variance grows linearly with time. Over a small time interval dt, the change dX in the Wiener process can be thought of as having a normal distribution with mean 0 and variance dt. This is why E[dX^2] = dt.

    38. σ φ

      Imagine ϕ as a raw measure of randomness and σ as a scaling factor that adjusts this randomness to reflect the inherent volatility of the specific asset. Together, σ * ϕ represents the random component of the asset’s returns, properly scaled to the asset’s volatility.

    39. δt1/2

      sigma scales with square root of time

      Intuitively, over very short periods, the price doesn't have much time to move, so the fluctuations should be smaller. Over longer periods, there's more time for various factors to affect the price, so the fluctuations can be more significant.

      Mathematically, this behavior is captured by scaling the standard deviation by sqrt(δt), that is σ * δt^(1/2). This is because the variance (square of standard deviation) of a sum of random variables is the sum of their variances. When you're looking over a longer period, you're essentially summing more variables, and thus, you're adding more variances. Since standard deviation is the square root of variance, it naturally scales with the square root of time.

    40. In the limit as the time step tends to zero with the total time T fixed, this approximationbecomes exact.

      go from discreet changes in time step -> continuous change

    41. 1√2π e− 12 φ2

      the formula for the standard normal distribution is crafted in such a way that it meets the requirements of being a probability distribution, exhibits the properties of the normal distribution (bell shape, symmetry, etc.), and has mathematical properties that make it useful and practical for statistical analysis.

    42. E[f(S) + f′(S) + 12 2f′′(S) + · · ·

      this is a Taylor expansion of f(E[S]), which helps us approximate it

      Taylor expansion looks like:

      f(a + x) = f(a) + xf'(a) + (1/2)x²f''(a) + ...

      Where:

      f(a) is the value of the function at point 'a'. f'(a) is the first derivative of the function at point 'a'. f''(a) is the second derivative of the function at point 'a'. x is the deviation from point 'a'.

    43. option value as a function of the asset; this is the payoff function

      recall the payoff function for calls = max(S(T) - E, 0)

      and for puts = max(E - S(T), 0)

    44. So, we can get a risk-freeinvestment using the option and the stock, and this is hedging. And, the stock can bereplicated by cash and the option

      i.e. We can construct a risk-free portfolio by combining the option and the stock in a certain way ("hedging"). Conversely, we can replicate the payoff of the option by combining the stock and the risk-free asset in a certain way.

    45. ? − 0.5 × 100 = −0.5 × 99 × 0.9996

      on left hand, ? - 0.5 * 100 (our call option price minus our short hedge) = that future portfolio value of -99/2 * discount factor

    46. The discount factor for going back one day is11 + 0.1/252 = 0.9996

      252 = number of days trading risk free interest rate = 0.1, or 10% per year

      remember: this is the discount factor of the portfolio looking backwards from the future predicted risk free portfolio price of -99/2 from the previous example.

    47. We can think of  as the sensitivity of the option to changes in the stock.

      In a delta hedging strategy, we adjust the quantity of the underlying asset we hold in order to offset the sensitivity of the options in our portfolio. This is done by setting delta equal to the ratio of the range of option payoffs to the range of stock prices.

      Let's break this down:

      Range of option payoffs: This represents the possible gains or losses from the option. For a call option, the payoff is the difference between the stock's price and the strike price if the stock's price is above the strike price, and zero otherwise.

      Range of stock prices: This is the range of values the stock price can take over the relevant period.

      By setting delta equal to the ratio of these two ranges, we're saying that we want the change in the value of our option position to be offset by the change in value of our position in the underlying asset. If the stock's price goes up, the increase in the value of our option position is offset by a corresponding decrease in the value of our short position in the stock, and vice versa if the stock's price goes down.

      In this way, delta hedging helps us create a portfolio where the value doesn't depend on the direction of the stock's price. This is useful for traders who want to isolate certain risks (like the risk of the stock's price changing) and focus on others (like the risk of changes in the volatility of the stock's price).

    48. The person writing the option would be very pleased with the guaranteed profit of 0.05.

      True value = 0.5, for now is a bit of "just trust me bro"

    49. A sells the option for 0.55, gets all the business and makes a guaranteed 0.05 profit.Along comes B who sells the option for just 0.53, now he takes away all the businessfrom A, who responds by dropping his price to 0.52, etc. So really, supply and demandshould act to make the option price converge to the 0.5

      If there's low liquidity in the market, it could potentially lead to arbitrage opportunities. Low liquidity means that there are fewer buyers and sellers in the market, which can lead to larger price discrepancies and potentially a divergence from the theoretical price.

      In the scenario you're referencing, where the theoretical price of the option is 0.5, competition between sellers in a liquid market would typically drive the price towards this level. However, if there's low liquidity, sellers might be able to sell the option for a higher price, say 0.55, without immediately being undercut by competitors. Meanwhile, an arbitrageur who knows the theoretical price could theoretically create a risk-free profit by taking the opposite position in a different market or using a different financial instrument.

      However, it's important to note that arbitrage opportunities are often difficult to exploit in practice, especially for individual investors. Transaction costs, bid-ask spreads, and other market frictions can eat into arbitrage profits. Plus, arbitrage opportunities tend to be fleeting, as other market participants are also on the lookout for them and will quickly act to close the price discrepancy.

      Moreover, low liquidity itself can be a risk: if you need to unwind your position and there aren't enough buyers or sellers, you might have to do so at a less favorable price. So while low liquidity can theoretically lead to arbitrage opportunities, exploiting these opportunities can be risky and challenging.

    50. Binary call + Binary put = e−r(T−t

      Since the outcome of a binary option is either +$1 or $0, buying both a binary call and put would always yield $1. For this to be priced in, it would mean that the cost of purchasing a binary call and put would need to equal that risk free, current valuation of $1.

    51. What about the E term? To lock in a payment of E at time T involves a cash flow ofEe−r(T−t) at time t. The conclusion is that the portfolio of a long call and a short putgives me exactly the same payoff as a long asset, short cash position. The equalityof these cashflows is independent of the future behavior of the stock and is modelindependent:C − P = S − Ee−r(T−t) ,where C and P are today’s values of the call and the put respectively. This relationshipholds at any time up to expiry and is known as put-call parity. If this relationship did nothold then there would be riskless arbitrage opportunities.In Table 2.1 I show the cashflows in the perfectly hedged portfolio. In this table I haveset up the cashflows to have a guaranteed value of zero at expiry.

      ***Keep note of this! Basically means that the discrepancy in pricing between a call and put for a given strike price equals the discrepancy in price between the underlying stock value and the current "time value" of that strike price

      If C - P > S - E^-r(t-t), you could buy the underlying asset, buy the put option, and sell the call option to make a risk-free profit. If C - P < S - E^-r(t-t), you could sell the underlying asset, sell the put option, and buy the call option to make a risk-free profit.

    52. 1er(T−t) = e−r(T−t).

      This is looking backwards - for however much money I want in the future, tied to X% interest rate, what money would I need now to get to that dollar amount?

      If you wanted to do the reverse (look at how much money you would get with current $ and current X% interest rate, you would multiply current $ by e^r(T-t)

    53. If we use the multiplicative rule we get an approximation to what is called alognormal random walk, also geometric random walk. If we use the additiverule we get an approximation to a Normal or arithmetic random walk

      why not both? Modeling stock like linear regression. y = mx + b

    1. Conditional expectation at times 0 of the price of theasset at times t

      Imagine trying to guess the future price of something, like a stock, but you’re making this guess based on certain conditions or information. This is a fancy way of saying your best educated guess under those conditions.

    2. Correlation of the natural log of the prices betweenassets i and j

      This tells you how the prices of two different things (like two stocks) are moving in relation to each other. If they both tend to go up and down together, they have a high correlation.

    3. Standard deviation of the natural log of the prices of theasset

      This is a measure of how wildly the price of something (like a stock) is swinging around. Higher standard deviation means the price is jumping around more.

    4. Zero-coupon yield period

      Imagine a type of loan where you don’t get interest payments, but instead, it grows over time and you get all the money at once at the end. This notation is talking about how much it’s grown over a certain period.

    5. Rates for the counter-currency or the dividend payout fora stock

      This refers to interest rates for another currency in a currency exchange deal, or the regular payments (dividends) that a company makes to its shareholders.

    6. High and low outstrikes for a double barrier

      This is like setting two barriers, one high and one low. If you’re betting on the price of gold, you might have barriers at $1,800 and $1,700. If the price hits either, something happens with your bet.

    Annotators

    1. oal of the structure is tofinance as many Calls with sold Puts in order to initiate the trade at thelowest possible cash outlay – in the example, we trade in at $100 debit.

      low overhead cost, and predefined "risk" cost later

    2. this is a ridiculous Bid as itassigns virtually no value for the additional 52 days left to expiration

      because the time value is low with tons of time left (and people will pay higher prices for longer time values since theres a higher chance they'll hit their price strike with a longer timeframe), it's a shit deal

    3. Multiplier29

      how many shares traded per option

    Annotators

    1. The probability of FDA approval after submitting an NDA or BLA, taking into account re-submissions, was90.6% (n=1,453).

      wack that 10%, even with resubmissions considered, are denied!??!

    Annotators

  7. May 2023
    1. Twenty-eight participants loggeddietary habits using 25 food categories at each visit (see Methods).Correlation analysis of the food category changes (duration in daysin the study) with the age association of clinical markers showedthat there was no significant correlation between food intake andtime for the food categories,

      bruh. there are so many other confounding factors at play. many unknown unknowns

    2. a

      weak af

    3. or example, HbA1Ccorrelated positively with aging across the cohort but was only posi-tively correlated in 18 individuals (4 significantly, P < 0.05) and wasnegatively correlated with aging at the individual level in 24 indi-viduals (4 significantly, P < 0.05)

      would love to know spearman correlation of individual vs. population. better? worse?

    Annotators

  8. Apr 2023
    1. Aging led to an increase in the ratio of pMEK1 to totalMEK1 but did not alter MEK1 protein levels in liver

      interesting that mTORC2 was also enhanced in liver.. coincedence?

    2. Recently, we have found that ACA and Rapa, in bothsexes, and 17aE2 (in males only) can reduce mTORC1signaling, suggesting that pathways upstream of mTORmay be affected by these drugs

      So the main takeaway of this paper is that these drugs inhibit mTOR and effect all these other pathways? seems kinda redundant huh. just say that they inhibit mTOR and call it a day. all the other mTOR downstream stuff is already known, right?

    3. Rapa treatments starting at 20 months of age mice havebeneficial effect on lifespan similar to those seen in miceexposed to the drug from 9 months of age

      why? This bothers me

    Annotators

  9. Nov 2022
    1. CDKN2C knockout mice have generalizedorganomegaly including testicular enlargement and hyperplasia of interstitial testicular Leydigcells, which produce reduced levels of testosterone

      so less of this maigc gene, and i get bigger balls? awesome. wait i die of cancer now? damn

    2. promoters and enhancers

      Enhancers are short nucleotide sequences that enhance the transcription rate in the genome. Promoters are fairly large nucleotide sequences that initiate the process of transcription.

    3. retoduplication

      basically the mrna copy was turned back into a gene through retrotranscription

  10. Oct 2022
    1. for selective deletion of the Lamp2 gene exon encod-ing for the cytosolic and transmembrane domain of the L2A pro-tein (Gough et al., 1995) (Figure S1A). As comparison, we usedwhole-body L2A knockout (hereafter named L2A/) mice

      so they had partial L2AKO and full L2AKO

    Annotators

    1. KFERQ

      KFRQ activity is dependent on phosphorylation / dephosphorylation events, which is maybe a reason why CMA is time dependent

    2. f

      liver homogenate levels of protein at different circadian times (CT)

    3. eProtein

      lysosome protein levels at different circadian times (CT)

    4. a

      hypothesis: L2AKO knockout mice should have different lysosome fluorescence from WT mice

      but the images are weird

    5. DM

      dexamethazone is a steroid synchronizrs mouse circadian rhythm

    6. c

      like figure B but now looking with respect to mRNA than to proteins

    7. b

      Just because something is a CMA substrate, doesnt mean its singly degraded by CMA. This figure is trying to figure out if that relationship is true. You can see about that in two ways:

      1) amplify CMA and see if the effect is exaggerated 2) amplify compensatory mechanisms like macroautophagy

    8. o generate BMAL1KOmice expressing KFERQ-Dendra, Bmal1f/f mice (Jackson stock number 007668)crossed with the tamoxifen-inducible Cre (R26-CreERT2, Jackson stock number008463) were crossed with KFERQ-Dendra mice.

      doing knockout in germ cells of male mice, those mice have knockout babies

    9. f

      The bigger the gap, the more protein degraded relatively

    10. e

      Inject mice with leupeptin (protease inhibitor) in ZT. Want to check if these things are 1) working cyclically and 2) if CMA is actually playing a role.

    11. T

      Zeitgeber time: a rhythmically occurring natural phenomenon which acts as a cue in the regulation of the body's circadian rhythms.

      Basically the circadian rhythm the mice have in an environment without light/dark cues

    12. c

      BMALL1 and CLOCK significantly down in these three rats during CMA-

    13. BMAL1

      significantly more accumulated with CLOCK during CMA+

    14. b

      CMA+ and CMA- cells are separated by density. nitrisomine is used to do this (tho not anymore since its super cytotoxic)

    15. KFERQ

      positive, negative, and glutamine– when this combo is exposed to cytoplasm, its prone to causing the protein with this motif to aggregate. hence why they may be CMA substrates

    Annotators

    1. D

      In this figure membrane potential is kind of the same?? Despite more mitochondria in PTEN mice?

    2. OCR

      Oxygen consumption rate

      Oligomycin blocks oxygen consumption

      FCCP is a decoupler, or a protonophore. It allows protons to freely cross membranes. Screws up the proton pump and rapidly speeds up the ETC. This makes oxygen consumption go brrrrrr

      Rotenone stops complex I in mitochondria. Which makes oxygen consumption down down down

    3. )

      lactate is built up during anaerobic activity. We see much less lactate in PTEN

    4. B

      the RER tells us if:

      1) aeorbic or anaerobic respiration 2) usage preference between fat or carbs

      in this figure, PTEN mice have higher RER. So they burn more fat than WT mice

    5. A

      there is an age effect and genotype effect and an interaction between the two

      is the transgene modifying the age effect? -> two way anova

      thats is not what they did here...

    6. c-Myc

      very drunk answer from a scientist friend of joe endicott: 25% of myc is the proper amount. snell mice have this amount

    7. FSC

      flow cytometry.

      you break up an organ, load up the bits of tissue onto flow cytometer. send light beams at cells, measure how light interacts with cells

      If cells scatter same amount of light, then they are the same size! That's what we saw here

    8. G

      what is PTEN in these images??? what is the scale??? who knows lol

    9. F

      It would be nice if we knew how much of each protein (PTEN, Hsp90, Lamin B) was loaded onto western blot

      We don't know why PTEN is localized in the nucleus?? It's mostly studied for its enzymatic function

    10. Super-PTEN cells consume lessglucose and extrude less lactate into the media

      lol i find it funny that they use glucose instead of galactate but even then use glucose less! they truly built different tho

    11. FAO

      basically more FAO -> more breakdown of fat to turn into energy

    12. (A) Growth curves of WT and TG MEFs (n = 3 per genotype).

      whats the difference between this growth curve and the 2 other growth curves shown in the prior figure?

      oh nvm i just realized– this is for the in vitro MEFs!!!

    13. focus-formation assays

      measures the ability of a candidate oncogene to induce malignant transformation,

    14. To maintain the regulation properties ofthe endogenous Pten gene, we made use of large genomicfragments containing the entire Pten locus carried by bacterialartificial chromosomes (BACs). These large genomic fragmentsprotect the gene of interest from chromatin positional effects,preserving in every respect the pattern of expression of theendogenous gene

      so they just copied the enitre boilerplate of PTEN into mice?

    15. Indeed there is mountingevidence for the therapeutic potential of targeting cancer meta-bolic reprogramming

      this catches my eye... what does it mean?

    16. Warburg effect

      the observation that most cancer cells produce energy predominantly not through the 'usual' citric acid cycle and oxidative phosphorylation in the mitochondria as observed in normal cells, but through a less efficient process of 'aerobic glycolysis' consisting of high level of glucose uptake and glycolysis followed by lactic acid fermentation taking place in the cytosol, not the mitochondria, even in the presence of abundant oxygen.

    Annotators

    1. Ontogeny

      development

    Annotators

  11. Sep 2022
    1. To examine the functional impact of substitutions at thesepositions in POT1, we studied binding of recombinant human,T. rubra and T. dohrnii proteins to oligonucleotide probes con-taining three telomere-like repeats; the three variants were ana-lyzed in each protein (G272, G272N, and G272R in humansand their equivalent positions in Turritopsis POT1) (Fig. 3).Wild-type POT1 presented the strongest affinity to the probesamong human proteins, while binding decreased in thep.G272R mutant and was very weak in the p.G272N variant(Fig. 3F). These results confirm the functional relevance of resi-due at position 272 of POT1 in humans,

      Down the line, doing this with planaria genes could be really useful for seeing how translational their rejuvenation abilities are!!

    2. The copies of most of theabovementioned genes (except GEN1 and one copy of POLD1and TOP3B) were transcriptionally active during LCR ofT. dohrnii, which reinforces our hypothesis that more efficientreplication and repair systems could underlie rejuvenation inthis species

      The copies weren't inactive, they were supplementing the original copies in their respective functions!!

    3. hat the percentage of ampli-fications (genes with two or more copies) observed in T. dohrniifrom our manually annotated list was 3.77 times higher than theone we obtained from a representative gene set of the wholegenome in this species (a random set of 1,000 automatically anno-tated genes)

      More amplifications in these aging related genes compared to the randomly annotated genes?

    4. We identified 28 copy number variationsand 10 variants unique for T. dohrnii or T. rubra, which werethen classified into the 9 hallmarks of aging (3), dependingon the affected genes

      So basically they looked at a bunch of homologous genes related to human aging in cnidarians, validated their presence, then divided them up to their relation to specific hallmarks/pathways related to aging

    5. retroelements

      mobile genetic elements which are transcribed into RNA, then reverse-transcribed into DNA and inserted into a new site in the genome

    6. T. dohrniiand 9,324 genes in T. rubra.

      big difference in genome size!

    Annotators

    1. fecundity

      the ability to produce an abundance of offspring or new growth; fertility.

    Annotators

    1. LC3MYCIDH1

      Controls for proteosome inhibition; these things should go down when proteosome is inhibited

      CMA indirectly lowers Myc because it causes proteosome to degrade Myc

    2. E

      silenced Lamp2A has higher lipofuscin buildup than other KO groups

    3. Figure

      GHKO mice have significantly more gene expression change than control mice. (550 vs 323 for increased expression, 700 vs 363 for decreased expression, etc)

    4. Figure

      What this volcano plot is saying is basically that a lot of protein expression in both genotypes (red) was significantly changed by leupeptin interference. In volcano plots, anything above the horizontal line in the graph is p<0.05, meaning significant

      i wonder what they mean by both genotypes tho?? like theres only 1 control genotype mouse right

    5. Lysosomal targetomics involves the isolation of lysosomalfractions from cells or tissues in which CMA has beeninduced and where intra-lysosomal proteolysis has beenblocked pharmacologically, allowing for the identification ofCMA targets that have accumulated in the lysosomal lumen

      KO lysosomes, see which proteins start building up as a conseuquence

    1. *

      CMA doesn't exclusively destroy proteins that aggregate. Just degrades proteins susceptible to degradation

    2. L2AKO

      More "flux" in knockouts, meaning more variability in color in the band.

    3. C

      Autofluorescence is stuff in tissue that lights up when you shine a light at it. Blue is nucleus. Green is lipofuscin, which is basically molecular trash that accumulates with age.

    4. H

      this helps mobilize fat to get it away from liver. but for some reason it's up in L2A????

    5. )

      H & E stain measures for difference in images

    6. Paralysis

      they drugged the mice with a muscle relaxant (which gets processed by the liver) and they wanted to measure liver health by seeing which mouse can recover from the muscle relaxant later

    7. + —
      • is CMA high, - is CMA low
    8. oth steatosis (Parket al., 2010) and reduced quality control (Takamura et al., 2011) havebeen shown to promote oncogenic transformation. Interestingly, weobserved increased incidence of hepatic tumors in the older group ofL2AKO mice, while no spontaneous hepatic tumors were detected inage-matched Ctr mice throughout the course of this study

      and cancer is why most aged mice die. interesting

    9. lood Glucose

      significantly higher in L2AKO in youth but not in age??

    10. )

      L2AKO have significantly less of this healthy fat(?) compared to control

    11. *

      what is the significance here

    12. A

      L2AKO mice take significantly longer in youth and then even longer in age to clear out hepatotoxin/damaged proteins than control

    13. zoxazolamine

      hepatotoxic

    14. lipofuscin

      this is a known biomarker for age iirc

    15. II

      LC3-II has higher presence in L2AKO mice than control mice during HFD

    16. C

      L2AKO has tougher time using compensatory autophagy mechanisms when facd with hepatotoxic substance acetimophen

    17. hepatosteatosis

      fatty liver disease

    18. Analysis of glycemic control revealed that youngL2AKO mice exhibited the previously observed decrease in fasting bloodglucose levels attributable to their enhanced hepatic glycolysis (Schneideret al., 2014), whereas as L2AKO mice age, they display instead higherfasting blood glucose than age-matched Ctr mice (Fig. 5C), implying adegree of glucose intolerance with age.

      so when young they actually are better at keeping blood sugar low, but when older they are worse at it than control?

    19. G

      cellular viability decreases more significantly in L2AKO than Ctr under hepatoxic stress

    20. D

      these proteins that should be destroyed under normal conditions (control) aggregate a lot more in L2AKO

    21. B

      ubiquitin compensatory response is higher here in L2AKO mice ???

    22. Lactacystin

      inhibits proteosome, therefore inhibiting protein degradation

    23. )

      less ubiquinated proteins in L2AKO mice

    24. Immunoblot

      Immunoblot = IB

    25. E

      confused, shouldnt CMA biomarkers be more present during starvation? i.e. L2A

      also looks like TFEB is higher in L2AKO mice compared to control during starvation

    26. vinblastine

      prevents cell division

    27. B

      ?

    28. D

      ?

    29. C3-II (folds Ctr unt

      LC3, a biomarker for macroautophagy, goes up in both groups post leupetin injecition but significantly in L2AKO

    30. A

      L2A levels low in L2AKO, Ubiquitin levels higher in Leu injected mice (compensatory?)

    31. A

      overall the trend for these graphs is that in control, L2A levels go down with age, while in L2AKO mice, the L2A levels stay low consistently even with age

    32. 2A levels (A.D.U

      what does this mean

    33. Liver homogenate

      liver homogenate = slurry "soup" of degraded tissue in suspension

    34. homogenate(H), cytosol (C)

      what does this mean

    35. leupeptin

      inhibits breakdown of proteins

    36. However, thesecompensatory responses are diminished upon infliction of stress orduring aging.

      ok looks like i answered my last question lol

    37. It is not known whether compensation of other proteolyticsystems in response to CMA failure occurs in vivo and whether thisactivation is sustained with age

      is there an update to this?

    38. a transmembrane protein, thelysosome-associated membrane protein type 2A (LAMP-2A) (Cuervo &Dice, 1996), serves as both the CMA lysosomal receptor to whichsubstrate proteins bind, and the main component of the complex thatfacilitates their translocation into the lysosomal lumen (

      so the proteins sent off to be destroyed aren't put into little packages and shipped off to their demise, instead a transmembrane protein will attach and accompany them to the lysosome for destruction

    39. cytosolic proteins

      proteins in cytoplasm

    Annotators

    1. Altogether, our findings indicate that post2bfunctions in the MAG are required for initiation of planarianfission behavior.

      tbh a lot of this went over my head... could use an ELI5

    2. revealed a distinct mucus stripe along the lateral edgeepithelial surface, corresponding to the adhesive secretions of theMAG

      planaria open wound emits mucus gunk that helps cells stick to the opening ?

    3. Of the remaining effector genes, 20/23have homology to human genes, indicating that planarian Hoxgenes regulate asexual reproduction by controlling conservedhomologous genes rather than planarian-specific genes.

      this is very good!!! i think

    4. penetrance

      the extent to which a particular gene or set of genes is expressed in the phenotypes of individuals carrying it, measured by the proportion of carriers showing the characteristic phenotype.

    5. effector gene

      a small molecule that selectively binds to a protein and regulates its biological activity

    6. nvestigators made extensive efforts to perturb planarian Hoxgene function (both individually and combinatorially) with nodiscernible phenotypic defects reporte

      a bit shocking

  12. Aug 2022
    1. Lectins, carbohydrate-binding proteins[34,35], have been used to label cells or tissues- primar-ily the secretory cells, their cytoplasmic projections, andterminal pores in asexual planarians

      good to know

    2. For the genes upregulated in asexual ani-mals, putative functional categories were assigned to only14 of 129 genes (11%) using COG analyses

      even less known than the sexual genes!!!!

    3. the remaining 476 genes were novel, with no obviousconserved domains

      less than 50% of these genes related to sex in planaria were known!!!! what the fuck

    4. 822 were expressed at higher levels in sexualanimals and 129 were expressed at higher levels in asex-ual animals

      could the sexualization/asexualization of planaria be polygenic?

    5. insitu hybridization to identify the cell types in whichthese genes are expressed; and (ii) morphological analy-sis using confocal microscopy to identify cell type-speci-fic markers that label components of the sexualreproductive system. We show that several genes identi-fied through this transcriptional comparison serve asuseful markers for somatic and germ cells of the planar-ian reproductive system. We also introduce several anti-bodies and fluorescent lectin-conjugates that will beuseful for visualizing components of the planarianreproductive system. These studies provide complemen-tary approaches for studying the genetic and morpholo-gical differences between sexual and asexual modes ofreproduction in planarians.

      these are useful methods and tools to keep an eye on

    6. RNA interference (RNAi) knockdown of a single neuro-peptide gene, npy-8 [GenBank: BK007010], resulted inanimals that failed to develop or maintain reproductiveorgans. Interestingly, npy-8 mRNA was not detected inasexual planarians

      this is an important gene locus to investigate

    7. While asex-ual planarians do not elaborate well-developed gonads,they do possess primordial germ cells that fail to differ-entiate further

      could these cells be stimulated to generate organs by feeding them sexual planria like Kobayashi did in Dugesia ryukyuensis?

    8. FISH

      uses fluorescent DNA probes to target specific chromosomal locations within the nucleus, resulting in colored signals that can be detected using a fluorescent microscope.

    9. microarray analyses

      a grid of DNA segments of known sequence that is used to test and map DNA fragments, antibodies, or proteins.

    1. the S21 gene seems to beinvolved in differentiation of the yolk glands. Therefore, we used theS21 gene as a marker for the point-of-no-return in the recipients.

      maybe not suuuuper important; it might be a downstream gene of sexualization, not the end all be all gene that causes it

    2. In order to examine the degree of the sexualization, we exam-ined the expression for S21 gene. The S21 gene was isolated bythe technique of differential screening between the asexual wormsin the OH strain and the worms at stage 3 (

      this is super important

    3. would be demonstrated by examining thereproductive mode of the regenerants from the head region,because the effect of the sexualizing substance in the headregion is mostly excluded by surgical ablation according tothe putative localization of the sexualizing substance

      what does this mean

    4. Thus, the putative sex-ualizing substance in B. brunnea would not need to maintainthe sexuality in the worms after the point-of-no-return

      wtf

    5. However, the mechanisms underly-ing the switching from the asexual to the sexual reproduc-tion, and vice versa remain unknown

      This is what we wish to know!!!

    6. Those alternatingbetween asexual and sexual reproduction, namely the‘physiological race’ (Jenkins, 1967), develop sexual organsduring the colder months of the year, but, when the breedingseason is over, the sexual organs degenerate and fissionoccurs during the warmer months

      Is this true for S. mediteranea?

    Annotators

    1. Across the Hist1 locus, there was a global decrease inH3K27ac and H3K56ac along with decreases in mRNA and protein levels

      which shows signs of advanced aging, right?

    2. In the epigenetically aged ICE cells, all of theHox gene clusters (Hoxa-d) had significant alterations in peaks of H3K27ac, H3K56ac and

      interesting!!!

    3. loci that experienced a decrease inH3K27ac were predominately involved in stress responses, chromatin structure, metabolism,cellular component organization, nucleobase synthesis, and DNA repair

      this is the stuff lost with increased frequency of double strand DNA breaks

    4. cutting does not cause cell cycle pausing,senescence, or mutations

      ***so they claim...

    5. incomplete chromatin restoration causes epigeneticinformation to be lost, leading to alterations in gene expression and susceptibility to more DSBs

      does this relate to information theory??? (randomly) incompleted restoration of information leads to further mistakes and eventual decline and then DEATH...

    6. perturbations that reorganize the epigenome, suchas DSBs, induce transcriptional and epigenetic noise during aging

      ***Main claim of paper

    1. extremely low efficiency of SCNT (<2%per reconstructed oocyte) and the documented role of genet-ic abnormalities associated with aging phenotypes in severalcloned pigs make this a premature conclusion [21].

      rebuttal to previous claim

    2. he argument that the largely normal lifespan ofanimals created by somatic cell nuclear transfer (SCNT) showsthat irreversible genetic changes cannot be the cause of aging

      since cloned sheep dont come out benjamin button like, somatic mutations must not cause aging according to sinclair

    3. while I-PpoI does not cause point mutations, it hasthe potential to cause large deletions (up to 1Mb) and generatechimaeric DNA by joining two different I-PpoI sites during re-pair

      we dunno if double strand DNA breaks are purely messing with the epigenome or if they have mutagenic effects too

    Annotators

    1. the regulatory network

      aging regulatory network i think theyre referring to

    2. variance is constrained as expressionvalues approach zero (Supplemental File), explaining the decrease in variance with age.

      yup that is what i was trying to get at