### 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 language | English (US) |
---|---|

Pages (from-to) | 278-294 |

Number of pages | 17 |

Journal | Journal of Mathematical Biology |

Volume | 40 |

Issue number | 3 |

State | Published - Mar 2000 |

### Fingerprint

### Keywords

- Binding
- Dimers
- MHC
- Probability Theory

### ASJC Scopus subject areas

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

### Cite this

*Journal of Mathematical Biology*,

*40*(3), 278-294.

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

Research output: Contribution to journal › Article

*Journal of Mathematical Biology*, vol. 40, no. 3, pp. 278-294.

}

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 -