Plane Curves as Vector Functions and the Structure of a DNA Helix

In this video I discuss how plane curves can be represented as vector functions, and illustrate an example of a plane curve that spirals upwards into a helix. A plane curve has all points in 3D that lie on a single plane, such as a flat sheet or cylinder. Representing a cylinder as a plane curve obtains a circular spiral that rises upwards as the the parameter t increases. This represents a helix shape. I also recap on the DNA helix, which consists of two linked, parallel, and intertwined helixes. I also recap on RNA, which is typically a single strand helix, as well as the Central Dogma of Molecular Biology, which states:

Information can flow from DNA to/from RNA to protein, but never from protein to RNA or DNA.

#math #vectorfunctions #planecurves #biology #calculus

Timestamps:

- Plane curves as vector functions: 0:00
- Parametric equations of a horizontal parabola to vector form: 0:52
- Recap on standard basis vectors i, j, and k: 2:07
- Example 4: Vertical Helix: 2:40
- Projection of the curve onto the x-y plane is a circle: 5:04
- Vector function spirals upwards a helix along a cylinder: 6:30
- Better illustration of the helix from my calculus book: 9:30
- Graphing in GeoGebra 3D graphing calculator: 9:55
- Recap on the DNA and RNA Helixes: 10:45
- Central Dogma of Molecular Biology: Information doesn't flow from protein to RNA or DNA: 13:00

Notes and playlists:

- Summary: https://inleo.io/threads/view/mes/re-leothreads-2lfbak842
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GwdMY-E9_4LsmYmO-IxcoX
- Notes: https://peakd.com/hive-128780/@mes/omhbcxkw
- Vector Functions playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U .

------------------------------------------------------

Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

MES Links: https://mes.fm/links

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes

Email me: contact@mes.fm

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm

Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps