View source for Levinthal's Paradox

== Introduction ==

Levinthal's Paradox is a thought experiment in the field of [[Protein folding|protein folding]] dynamics. Proposed by Cyrus Levinthal in 1969, the paradox highlights the apparent contradiction between the speed at which proteins fold and the astronomical number of possible configurations they could theoretically adopt. 

[[Image:Detail-51841.jpg|thumb|center|A close-up view of a protein molecule in the process of folding.|class=only_on_mobile]]
[[Image:Detail-51842.jpg|thumb|center|A close-up view of a protein molecule in the process of folding.|class=only_on_desktop]]

== Background ==

Proteins are complex [[Macromolecule|macromolecules]] that perform a vast array of functions within organisms. The function of a protein is directly determined by its three-dimensional structure. This structure is itself determined by the sequence of [[Amino acid|amino acids]] that make up the protein. 

== The Paradox ==

The paradox arises from the observation that proteins fold into their functional, three-dimensional structure within a few seconds, while simple calculations suggest that it should take an astronomical amount of time for a protein to randomly adopt its native state among the vast number of spatial configurations. 

== Levinthal's Calculation ==

Levinthal calculated that a protein with 100 residues could adopt 3^100 or 5 x 10^47 different conformations. If a protein were to sample all these conformations at a rate of one conformation per picosecond (10^-12 seconds), it would take longer than the age of the universe to find its native conformation. This is known as the "Levinthal's number".

== Implications ==

The paradox implies that proteins must fold via specific pathways or mechanisms, rather than by random sampling of all possible conformations. This has led to the development of the concept of [[Protein folding funnel|protein folding funnels]] and the energy landscape theory.

== Energy Landscape Theory ==

The energy landscape theory visualizes the folding pathway of proteins as a funnel-shaped energy landscape. The theory suggests that proteins do not fold through a random search but follow a series of energetically favorable intermediate states, leading to the native state.

== Experimental Evidence ==

Experimental evidence supports the idea that proteins fold through specific pathways. Techniques such as [[Nuclear magnetic resonance spectroscopy|nuclear magnetic resonance spectroscopy]] and [[X-ray crystallography|x-ray crystallography]] have provided insights into the folding pathways of various proteins.

== Applications ==

Understanding protein folding pathways and the resolution of Levinthal's paradox has implications in various fields, including drug design, disease research, and [[Bioinformatics|bioinformatics]].

== See Also ==

[[Anfinsen's dogma]]
[[Molecular dynamics]]
[[Protein structure prediction]]
[[Protein design]]

== Categories ==

[[Category:Protein structure]]
[[Category:Biophysics]]
[[Category:Computational biology]]