Posts

Dup15q Syndrome

Last edited: August 8, 2025

Dup15q Syndrome is an autistic syndrome associated with a gain of variant function in UBE3A. It is the opposite of Angelman Syndrome, which is a loss of function result on UBE3A.

dynamic programming

Last edited: August 8, 2025

dynamic programming is a three-step algorithm to tackle large, multi-step problems; high level idea: guessing + caching + recursion.

dynamic programming can sometimes not be good enough, and it doesn’t really give us fast enough to get what we need to use. That’s when we need to deal with relaxation, or possibly greedy programming.

main steps of dynamic programming

  1. Break a hard problem into sub-problems
  2. Guess what sub-problem to solve
  3. Solve the sub-problem and store the solution
  4. Repeat #2 and #3
  5. Combine sub-problem solutions to solve the hard problem

analyzing runtime of dynamic programming

To analyze runtime of dynamic programming problems, you ask:

Dynamic RC Circuits

Last edited: August 8, 2025

Capacitor charging:

\begin{equation} Q = Q_0 (1-e^{-\frac{t}{RC}}) \end{equation}

where \(Q\) is capacitor change at time \(t\), and \(Q_0\) initial change, and \(RC\) the resistance and capacitance.

Where, \(RC\) is called the “time constant”.

\begin{equation} I = \frac{V}{R} (e^{-\frac{t}{RC}}) \end{equation}

Note! these are inverse relationships: as a capacitor CHARGE, the current DROPS.

Dyson's Model of Life

Last edited: August 8, 2025

Dyson’s Model of Life is a theory of origin of life:

  1. cells form as machines that perform tasks
  2. genes show up later as parasites, eventually forming symbiosis with cells

Read: and so, we can essentially ditch trying to find things characteristics of “cells” per-se like RNA, instead we can go about finding generic boxes of containers called “cells” and see how they evolve.

See also: high chemical activity, metabolism, Stepwise Evolution, and Two Main Functions of Life

e

Last edited: August 8, 2025

It a constant.

\begin{equation} \lim_{n \to \infty} \qty(1- \frac{\lambda}{n})^{n} = e^{-\lambda} \end{equation}