Random binding of dimers to chains

Jerome Percus, Ora E. Percus, Alan S. Perelson

Research output: Contribution to journalArticle

Abstract

We develop a probabilistic model for the binding of a small linear polymer to a larger chain. We assume that we can approximate the energy of interaction of the two chains by summing the pairwise interactions between subunits. Because the energy of interaction between a pair of subunits can depend on neighboring subunits, which we assume vary along the chain, we assign the pairwise energies of interactions according to a specified probability distribution. Thus we develop a statistical model for the binding of two molecules. While such models may not be appropriate for studying the interaction of a particular pair of molecules, they can provide insight into questions that deal with populations of molecules, such as why do MHC molecules bind peptides of a certain size? Here we analyze in detail the special case of a heterodimer binding to a polymer.

Original languageEnglish (US)
Pages (from-to)278-294
Number of pages17
JournalJournal of Mathematical Biology
Volume40
Issue number3
StatePublished - Mar 2000

Fingerprint

Statistical Models
Dimer
Dimers
Polymers
Molecules
polymers
energy
Interaction
probabilistic models
probability distribution
Pairwise
statistical models
Peptides
Energy
peptides
Probability distributions
Population
Probabilistic Model
Statistical Model
Assign

Keywords

  • Binding
  • Dimers
  • MHC
  • Probability Theory

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

Percus, J., Percus, O. E., & Perelson, A. S. (2000). Random binding of dimers to chains. Journal of Mathematical Biology, 40(3), 278-294.

Random binding of dimers to chains. / Percus, Jerome; Percus, Ora E.; Perelson, Alan S.

In: Journal of Mathematical Biology, Vol. 40, No. 3, 03.2000, p. 278-294.

Research output: Contribution to journalArticle

Percus, J, Percus, OE & Perelson, AS 2000, 'Random binding of dimers to chains', Journal of Mathematical Biology, vol. 40, no. 3, pp. 278-294.
Percus J, Percus OE, Perelson AS. Random binding of dimers to chains. Journal of Mathematical Biology. 2000 Mar;40(3):278-294.
Percus, Jerome ; Percus, Ora E. ; Perelson, Alan S. / Random binding of dimers to chains. In: Journal of Mathematical Biology. 2000 ; Vol. 40, No. 3. pp. 278-294.
@article{96ed4f5ac2d342a799359a5d83c6c1ee,
title = "Random binding of dimers to chains",
abstract = "We develop a probabilistic model for the binding of a small linear polymer to a larger chain. We assume that we can approximate the energy of interaction of the two chains by summing the pairwise interactions between subunits. Because the energy of interaction between a pair of subunits can depend on neighboring subunits, which we assume vary along the chain, we assign the pairwise energies of interactions according to a specified probability distribution. Thus we develop a statistical model for the binding of two molecules. While such models may not be appropriate for studying the interaction of a particular pair of molecules, they can provide insight into questions that deal with populations of molecules, such as why do MHC molecules bind peptides of a certain size? Here we analyze in detail the special case of a heterodimer binding to a polymer.",
keywords = "Binding, Dimers, MHC, Probability Theory",
author = "Jerome Percus and Percus, {Ora E.} and Perelson, {Alan S.}",
year = "2000",
month = "3",
language = "English (US)",
volume = "40",
pages = "278--294",
journal = "Journal of Mathematical Biology",
issn = "0303-6812",
publisher = "Springer Verlag",
number = "3",

}

TY - JOUR

T1 - Random binding of dimers to chains

AU - Percus, Jerome

AU - Percus, Ora E.

AU - Perelson, Alan S.

PY - 2000/3

Y1 - 2000/3

N2 - We develop a probabilistic model for the binding of a small linear polymer to a larger chain. We assume that we can approximate the energy of interaction of the two chains by summing the pairwise interactions between subunits. Because the energy of interaction between a pair of subunits can depend on neighboring subunits, which we assume vary along the chain, we assign the pairwise energies of interactions according to a specified probability distribution. Thus we develop a statistical model for the binding of two molecules. While such models may not be appropriate for studying the interaction of a particular pair of molecules, they can provide insight into questions that deal with populations of molecules, such as why do MHC molecules bind peptides of a certain size? Here we analyze in detail the special case of a heterodimer binding to a polymer.

AB - We develop a probabilistic model for the binding of a small linear polymer to a larger chain. We assume that we can approximate the energy of interaction of the two chains by summing the pairwise interactions between subunits. Because the energy of interaction between a pair of subunits can depend on neighboring subunits, which we assume vary along the chain, we assign the pairwise energies of interactions according to a specified probability distribution. Thus we develop a statistical model for the binding of two molecules. While such models may not be appropriate for studying the interaction of a particular pair of molecules, they can provide insight into questions that deal with populations of molecules, such as why do MHC molecules bind peptides of a certain size? Here we analyze in detail the special case of a heterodimer binding to a polymer.

KW - Binding

KW - Dimers

KW - MHC

KW - Probability Theory

UR - http://www.scopus.com/inward/record.url?scp=0034151474&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034151474&partnerID=8YFLogxK

M3 - Article

VL - 40

SP - 278

EP - 294

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

SN - 0303-6812

IS - 3

ER -