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{{Short description|Type of model used in biochemistry}}
{{
The '''sequential model''' (also known as the '''KNF model''') is a theory that describes [[cooperativity]] of [[protein subunit]]s.<ref name=":3"> [[Daniel E. Koshland Jr.|Koshland, D.E.]], Némethy, G. and Filmer, D. (1966) Comparison of experimental binding data and theoretical models in proteins containing subunits.
Biochemistry 5, 365–385. [http://pubs.acs.org/doi/abs/10.1021/bi00865a047 DOI: 10.1021/bi00865a047]</ref>
[[File:KNF_model.gif|thumb|Visual representation of the KNF model in a tetrameric protein.|433x433px]]
==Overview==
This model for [[allosteric regulation]] of [[enzyme]]s suggests that the [[Protein subunit|subunits]] of multimeric proteins have two conformational states.<ref name=":3" /> The binding of the ligand causes conformational change in the other subunits of the multimeric protein. Although the subunits go through conformational changes independently (as opposed to in the [[MWC model]]), the switch of one subunit makes the other subunits more likely to change, by reducing the energy needed for subsequent subunits to undergo the same conformational change. In elaboration, the binding of a ligand to one subunit changes the protein's shape, thereby making it more [[Thermodynamic free energy|thermodynamically favorable]] for the other subunits to switch conformation to the high affinity state. Ligand binding may also result in negative cooperativity, or a reduced affinity for the ligand at the next binding site, a feature that makes the KNF model distinct from the MWC model, which suggests only positive cooperativity.<ref name=":0">{{Cite journal|last1=Koshland|first1=Daniel E.|last2=Hamadani|first2=Kambiz|date=2002-12-06|title=Proteomics and Models for Enzyme Cooperativity|journal=Journal of Biological Chemistry|language=en|volume=277|issue=49|pages=46841–46844|doi=10.1074/jbc.R200014200|issn=0021-9258|pmid=12189158|doi-access=free}}</ref><ref name=":5">{{Cite journal|last1=Henis|first1=Y I|last2=Levitzki|first2=A|date=1980-09-01|title=Mechanism of negative cooperativity in glyceraldehyde-3-phosphate dehydrogenase deduced from ligand competition experiments.|journal=Proceedings of the National Academy of Sciences of the United States of America|volume=77|issue=9|pages=5055–5059|issn=0027-8424|pmc=349994|pmid=6933545|doi=10.1073/pnas.77.9.5055|bibcode=1980PNAS...77.5055H|doi-access=free}}</ref> It is named KNF after [[
== History ==
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The KNF model (or induced fit model or sequential model) arose to address the possibility of differential binding states.<ref name=":1">{{Cite news|url=http://bio.libretexts.org/Core/Biochemistry/Binding/MODEL_BINDING_SYSTEMS#Free_Energy_and_Cooperativity|title=Model Binding Systems|date=2013-11-21|newspaper=Biology LibreTexts|access-date=2017-02-21|language=en-US}}</ref> Developed by Koshland, Némethy and Filmer in 1966, the KNF model describes cooperativity as a sequential process, where ligand binding alters the conformation, and thus the affinity, of proximal subunits of the protein, resulting in several different conformations that have varying affinities for a given ligand. This model suggests that the MWC model oversimplifies cooperativity in that it does not account for conformational changes of individual binding sites, opting instead to suggest a single, whole-protein conformational change.<ref name=":4" />
== Rules
The KNF model follows the structural theory of the induced fit model of substrate binding to an enzyme.<ref name=":1" /> A slight change in the conformation of an enzyme improves its binding affinity to the transition state of the ligand, thus catalyzing a reaction. This follows the KNF model, which models cooperativity as the changing conformation of the ligand binding site upon ligand binding to another subunit.
Two essential assumptions guide the KNF model:<ref name=":2">{{Cite book|title=Structure and mechanism in protein science : a guide to enzyme catalysis and protein folding|last=Alan|first=Fersht|publisher=Freeman|isbn=9780716732686|oclc=837581840|year = 1999}}</ref>
# The protein exists in a single state of either low or high affinity for the ligand, when not bound to the ligand.......
# Upon ligation of a binding site, a conformational change is produced in that region of the protein. Changing this region of the protein may influence the conformation of nearby binding sites on the same protein, thus changing their affinity for the ligand. In negative cooperativity, affinity goes from high to low, while in positive cooperativity, affinity goes from low to high.
The KNF model characterizes enzymes that exhibit what was coined by Koshland and Hamadi in 2002 as i<sup>3</sup> cooperativity.<ref name=":0" /> This term is used merely to describe the structural nature of the sequential model, as the authors provide no other proposed descriptions or types of cooperativity.<ref>{{Cite book|url=https://books.google.com/books?id=SkSQNNACcrYC&
# the nature of the subunits of the multimeric protein are such that they are ''identical'' to each other
# ligand binding ''induces'' a conformational change in the protein
# the conformational change is an ''intramolecular'' rearrangement within the protein
The i<sup>3</sup> nature of a multimeric, cooperatively-acting protein is useful in standardizing the structural and physical basis of the sequential model.using model verification
== Comparison to the MWC
=== Structural
The primary differentiating feature between the MWC model and KNF model lies in the scale of conformational changes.<ref name=":2" /> While both suggest that a protein's affinity for a given ligand changes upon binding of the ligand, the MWC model suggests that this occurs by a quaternary conformational change that involves the entire protein, moving from T state to favoring the R state. On the other hand, the KNF model suggests these conformational changes occur on the level of tertiary structure within the protein, as neighboring subunits change conformation with successive ligand binding.<ref>{{Cite journal|last1=Ronda|first1=Luca|last2=Bruno|first2=Stefano|last3=Bettati|first3=Stefano|date=2013-09-01|title=Tertiary and quaternary effects in the allosteric regulation of animal hemoglobins|journal=Biochimica et Biophysica Acta (BBA) - Proteins and Proteomics|series=Oxygen Binding and Sensing Proteins|volume=1834|issue=9|pages=1860–1872|doi=10.1016/j.bbapap.2013.03.013|pmid=23523886}}</ref>
Unlike the MWC model, the KNF model offers the possibility of "negative cooperativity".<ref name=":0" /><ref name=":2" /> This term describes a reduction in the affinity of the other binding sites of a protein for a ligand after the binding of one or more of the ligand to its subunits. The MWC model only allows for positive cooperativity, where a single conformational switch from the T to R states results in an increase in affinity for the ligand at unligated binding sites. Ligand binding to the T state thus cannot increase the amount of the protein in the T, or low-affinity, state.
Negative cooperativity is observed in a number of biologically significant molecules, including [[tyrosyl-tRNA synthetase]] and [[glyceraldehyde-3-phosphate dehydrogenase]].<ref name=":5" /><ref name=":2" /> In fact, in a systematic literature review performed in 2002 by Koshland and Hamadani, the same literature review that coined i<sup>3</sup> cooperativity, negatively cooperating proteins are seen to compose slightly less than 50% of scientifically studied proteins that exhibit cooperativity, while positively cooperating proteins compose the other, slightly greater than 50%.<ref name=":0" />
=== Functional
[[Hemoglobin]], a tetrameric protein that transports four molecules of [[Molecular oxygen|oxygen]], is a highly biologically relevant protein that has been a subject of debate in allostery. It exhibits a sigmoidal binding curve, indicating cooperativity. While most scientific evidence points to concerted cooperativity,<ref name=":6">{{Cite journal|last1=Cui|first1=Qiang|last2=Karplus|first2=Martin|date=2017-03-25|title=Allostery and cooperativity revisited|journal=Protein Science|volume=17|issue=8|pages=1295–1307|doi=10.1110/ps.03259908|issn=0961-8368|pmc=2492820|pmid=18560010}}</ref><ref>{{Cite journal|last1=Berg|first1=Jeremy M.|last2=Tymoczko|first2=John L.|last3=Stryer|first3=Lubert|date=2002-01-01|title=Hemoglobin Transports Oxygen Efficiently by Binding Oxygen Cooperatively|url=https://www.ncbi.nlm.nih.gov/books/NBK22596/|archive-url=https://web.archive.org/web/20210413211652/https://www.ncbi.nlm.nih.gov/books/NBK22596/|url-status=dead|archive-date=April 13, 2021|language=en}}</ref> research into the affinities of specific heme subunits for oxygen has revealed that under certain physiological conditions, the subunits may display properties of sequential allostery.<ref name=":7">{{Cite journal|last=Lindstrom|first=Ted|year=1972|title=Functional nonequivalence of alpha and beta hemes in human adult hemoglobin|journal=Proceedings of the National Academy of Sciences|volume=69|issue=7|pages=1707–1710|doi=10.1073/pnas.69.7.1707|pmid=4505648|pmc=426783|bibcode=1972PNAS...69.1707L|doi-access=free}}</ref> [[Nuclear magnetic resonance]] (NMR) studies show that in the presence of phosphate, deoxygenated human adult
==References==
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