Complexation to macromolecules with a large number of sites
This paper presents an approach based on the saddle-point approximation to study the equilibrium interactions between small molecules and macromolecules with a large number of sites. For this case, the application of the Darwin–Fowler method results in very simple expressions for the stoichiometric...
| Authors: | ; ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 1999 |
| Country: | España |
| Institution: | Universitat de Lleida (UdL) |
| Repository: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/46475 |
| Online Access: | https://doi.org/10.1063/1.479559 http://hdl.handle.net/10459.1/46475 |
| Access Level: | Open access |
| Keyword: | Macromolecules Free energy Stoichiometry Molecular biophysics Macromolècules Estequiometria Biologia molecular Biofísica |
| _version_ | 1878742731241553920 |
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| author | Garcés, Josep Lluís |
| author2 | Mas i Pujadas, Francesc Puy Llorens, Jaume |
| author2_role | author author |
| author_browse | Garcés, Josep Lluís Mas i Pujadas, Francesc Puy Llorens, Jaume |
| author_facet | Garcés, Josep Lluís Mas i Pujadas, Francesc Puy Llorens, Jaume |
| author_role | author |
| collection | Repositori Obert UdL |
| description | This paper presents an approach based on the saddle-point approximation to study the equilibrium interactions between small molecules and macromolecules with a large number of sites. For this case, the application of the Darwin–Fowler method results in very simple expressions for the stoichiometric equilibrium constants and their corresponding free energies in terms of integrals of the binding curve plus a correction term which depends on the first derivatives of the binding curve in the points corresponding to an integer value of the mean occupation number. These expressions are simplified when the number of sites tends to infinity, providing an interpretation of the binding curve in terms of the stoichiometric stability constants. The formalism presented is applied to some simple complexation models, obtaining good values for the free energies involved. When heterogeneous complexation is assumed, simple expressions are obtained to relate the macroscopic description of the binding, given by the stoichiomeric constants, with the microscopic description in terms of the intrinsic stability constants or the affinity spectrum. © 1999 American Institute of Physics. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_fb397ff34f10aa6b00a362a2fcb3188d |
| institution | Universitat de Lleida (UdL) |
| instname_str | Universitat de Lleida (UdL) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:repositori.udl.cat:10459.1/46475 |
| publishDate | 1999 |
| publishDateSort | 1999 |
| publisher | American Institute of Physics |
| publisherStr | American Institute of Physics |
| reponame_str | Repositori Obert UdL |
| spelling | Complexation to macromolecules with a large number of sites Garcés, Josep Lluís Mas i Pujadas, Francesc Puy Llorens, Jaume Macromolecules Free energy Stoichiometry Molecular biophysics Macromolècules Estequiometria Biologia molecular Biofísica This paper presents an approach based on the saddle-point approximation to study the equilibrium interactions between small molecules and macromolecules with a large number of sites. For this case, the application of the Darwin–Fowler method results in very simple expressions for the stoichiometric equilibrium constants and their corresponding free energies in terms of integrals of the binding curve plus a correction term which depends on the first derivatives of the binding curve in the points corresponding to an integer value of the mean occupation number. These expressions are simplified when the number of sites tends to infinity, providing an interpretation of the binding curve in terms of the stoichiometric stability constants. The formalism presented is applied to some simple complexation models, obtaining good values for the free energies involved. When heterogeneous complexation is assumed, simple expressions are obtained to relate the macroscopic description of the binding, given by the stoichiomeric constants, with the microscopic description in terms of the intrinsic stability constants or the affinity spectrum. © 1999 American Institute of Physics. American Institute of Physics https://doi.org/10.1063/1.479559 http://hdl.handle.net/10459.1/46475 |
| spellingShingle | Complexation to macromolecules with a large number of sites Garcés, Josep Lluís Macromolecules Free energy Stoichiometry Molecular biophysics Macromolècules Estequiometria Biologia molecular Biofísica |
| status_str | publishedVersion |
| title | Complexation to macromolecules with a large number of sites |
| title_full | Complexation to macromolecules with a large number of sites |
| title_fullStr | Complexation to macromolecules with a large number of sites |
| title_full_unstemmed | Complexation to macromolecules with a large number of sites |
| title_short | Complexation to macromolecules with a large number of sites |
| title_sort | Complexation to macromolecules with a large number of sites |
| topic | Macromolecules Free energy Stoichiometry Molecular biophysics Macromolècules Estequiometria Biologia molecular Biofísica |
| topic_facet | Macromolecules Free energy Stoichiometry Molecular biophysics Macromolècules Estequiometria Biologia molecular Biofísica |
| url | https://doi.org/10.1063/1.479559 http://hdl.handle.net/10459.1/46475 |