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Ideal chain information


An ideal chain (or freely-jointed chain) is the simplest model in polymer chemistry to describe polymers, such as nucleic acids and proteins. It assumes that the monomers in a polymer are located at the steps of a hypothetical random walker that does not remember its previous steps. By neglecting interactions among monomers, this model assumes that two (or more) monomers can occupy the same location. Although it is simple, its generality gives insight about the physics of polymers.

In this model, monomers are rigid rods of a fixed length l, and their orientation is completely independent of the orientations and positions of neighbouring monomers. In some cases, the monomer has a physical interpretation, such as an amino acid in a polypeptide. In other cases, a monomer is simply a segment of the polymer that can be modeled as behaving as a discrete, freely jointed unit. If so, l is the Kuhn length. For example, chromatin is modeled as a polymer in which each monomer is a segment approximately 14-46 kbp in length.[1]

  1. ^ Rippe, Karsten (2001). "Making contacts on a nucleic acid polymer". Trends in Biochemical Sciences. 26 (12): 733–740. doi:10.1016/S0968-0004(01)01978-8.

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behaves as an ideal chain. The ideal chain model assumes that polymer segments can overlap with each other as if the chain were a phantom chain. In reality...

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volume (e.g. in case of ideal chain model). The recognition that excluded volume was an important factor in analyzing long-chain molecules in solutions...

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its neighbors. This is the ideal chain mathematical model. It is clear that the maximum, fully extended length L of the chain is N × ℓ {\displaystyle \scriptstyle...

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chain consisting of n {\displaystyle n} bonds and with fixed bond angles, torsion angles, and bond lengths, Kuhn considered an equivalent ideal chain...

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Euclidean domains and all fields are principal ideal domains. Principal ideal domains appear in the following chain of class inclusions: rngs ⊃ rings ⊃ commutative rings...

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model population dynamics. In polymer physics, random walk describes an ideal chain. It is the simplest model to study polymers. In other fields of mathematics...

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