Generic algebraic conditions for the occurrence of switch-like behavior of a chemical kinetic system of the hypoxia pathway
Weakly reversible chemical reaction networks with zero deficiency associated with mass-action kinetics admit, within each positive stoichiometric compatibility class, one positive steady state which is locally asymptotically stable and this irrespective of the values of the kinetics constants. Netwo...
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| Veröffentlicht in: | Journal of biological physics Jg. 50; H. 1; S. 29 - 53 |
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| Abstract | Weakly reversible chemical reaction networks with zero deficiency associated with mass-action kinetics admit, within each positive stoichiometric compatibility class, one positive steady state which is locally asymptotically stable and this irrespective of the values of the kinetics constants. Networks which do not enjoy these structural properties potentially exhibit more diverse dynamical behaviors. In this article, we consider a chemical reaction network associated with mass-action kinetics which is not weakly reversible and has a deficiency larger than one. The chemical reactions are at most bimolecular, but inflow and outflow reactions are present. Our results are as follows. We establish the existence of positive steady-state solutions and obtain their analytic expressions in the concentration space and in convex coordinates. We show that the system fulfills necessary conditions for a saddle-node and for a bifurcation into a saddle and a node. We apply a constructive approach to obtain a set of numerical values for the state variables and kinetic parameters, not reported previously, such that the reduced Jacobian is characterized by a zero eigenvalue with all other eigenvalues having negative real parts. The bifurcation diagram confirms the presence of the switch-like behavior. |
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| AbstractList | Weakly reversible chemical reaction networks with zero deficiency associated with mass-action kinetics admit, within each positive stoichiometric compatibility class, one positive steady state which is locally asymptotically stable and this irrespective of the values of the kinetics constants. Networks which do not enjoy these structural properties potentially exhibit more diverse dynamical behaviors. In this article, we consider a chemical reaction network associated with mass-action kinetics which is not weakly reversible and has a deficiency larger than one. The chemical reactions are at most bimolecular, but inflow and outflow reactions are present. Our results are as follows. We establish the existence of positive steady-state solutions and obtain their analytic expressions in the concentration space and in convex coordinates. We show that the system fulfills necessary conditions for a saddle-node and for a bifurcation into a saddle and a node. We apply a constructive approach to obtain a set of numerical values for the state variables and kinetic parameters, not reported previously, such that the reduced Jacobian is characterized by a zero eigenvalue with all other eigenvalues having negative real parts. The bifurcation diagram confirms the presence of the switch-like behavior. Weakly reversible chemical reaction networks with zero deficiency associated with mass-action kinetics admit, within each positive stoichiometric compatibility class, one positive steady state which is locally asymptotically stable and this irrespective of the values of the kinetics constants. Networks which do not enjoy these structural properties potentially exhibit more diverse dynamical behaviors. In this article, we consider a chemical reaction network associated with mass-action kinetics which is not weakly reversible and has a deficiency larger than one. The chemical reactions are at most bimolecular, but inflow and outflow reactions are present. Our results are as follows. We establish the existence of positive steady-state solutions and obtain their analytic expressions in the concentration space and in convex coordinates. We show that the system fulfills necessary conditions for a saddle-node and for a bifurcation into a saddle and a node. We apply a constructive approach to obtain a set of numerical values for the state variables and kinetic parameters, not reported previously, such that the reduced Jacobian is characterized by a zero eigenvalue with all other eigenvalues having negative real parts. The bifurcation diagram confirms the presence of the switch-like behavior.Weakly reversible chemical reaction networks with zero deficiency associated with mass-action kinetics admit, within each positive stoichiometric compatibility class, one positive steady state which is locally asymptotically stable and this irrespective of the values of the kinetics constants. Networks which do not enjoy these structural properties potentially exhibit more diverse dynamical behaviors. In this article, we consider a chemical reaction network associated with mass-action kinetics which is not weakly reversible and has a deficiency larger than one. The chemical reactions are at most bimolecular, but inflow and outflow reactions are present. Our results are as follows. We establish the existence of positive steady-state solutions and obtain their analytic expressions in the concentration space and in convex coordinates. We show that the system fulfills necessary conditions for a saddle-node and for a bifurcation into a saddle and a node. We apply a constructive approach to obtain a set of numerical values for the state variables and kinetic parameters, not reported previously, such that the reduced Jacobian is characterized by a zero eigenvalue with all other eigenvalues having negative real parts. The bifurcation diagram confirms the presence of the switch-like behavior. |
| Author | Vanhaelen, Quentin |
| Author_xml | – sequence: 1 givenname: Quentin surname: Vanhaelen fullname: Vanhaelen, Quentin email: vanhaelen@insilicomedicine.com organization: Insilico Medicine Hong Kong Ltd |
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| Keywords | 74G05 Switch-like behavior Extreme currents Mass-action kinetics 34C23 34A34 34D30 74H60 Chemical reaction network Convex coordinates Steady state |
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| References | Kohn, Riss, Aprelikova, Weinstein, Pommier, Barrett (CR8) 2004; 15 Gatermann, Wolfrum (CR11) 2005; 34 Gatermann, Huber (CR19) 2002; 33 CR4 Fages, Gay, Soliman (CR15) 2015; 599 Perez Millan, Dickenstein, Shiu, Conradi (CR14) 2012; 74 CR6 CR5 Horn (CR2) 1972; 49 Sensse, Gatermann, Eiswirth (CR12) 2005; 577 CR18 CR17 Fairen, Hernandez-Bermejo (CR21) 1996; 100 Yu, Wang, Simha, Peng, Turano, Zeng (CR9) 2007; 3 CR22 Alonso, Szederkenyi (CR7) 2016; 48 CR10 Craciun, Johnston, Szederkényi, Tonello, Toth, Yu (CR16) 2019; 17 Halasz, Lai, Pryor, Radhakrishnan, Edwards (CR20) 2013; 10 Laurent, Kellershon (CR1) 1999; 24 Feinberg (CR3) 1972; 49 Conradi, Flockerzi (CR13) 2012; 11 Lancaster, Tismenetsky (CR23) 1985 9647_CR18 9647_CR17 AM Halasz (9647_CR20) 2013; 10 A Sensse (9647_CR12) 2005; 577 M Perez Millan (9647_CR14) 2012; 74 M Laurent (9647_CR1) 1999; 24 9647_CR4 9647_CR5 KW Kohn (9647_CR8) 2004; 15 C Conradi (9647_CR13) 2012; 11 9647_CR6 G Craciun (9647_CR16) 2019; 17 P Lancaster (9647_CR23) 1985 Y Yu (9647_CR9) 2007; 3 AA Alonso (9647_CR7) 2016; 48 9647_CR10 V Fairen (9647_CR21) 1996; 100 9647_CR22 MA Feinberg (9647_CR3) 1972; 49 FJM Horn (9647_CR2) 1972; 49 K Gatermann (9647_CR19) 2002; 33 K Gatermann (9647_CR11) 2005; 34 F Fages (9647_CR15) 2015; 599 |
| References_xml | – volume: 100 start-page: 19023 issue: 49 year: 1996 end-page: 8 ident: CR21 article-title: Mass action law conjugate representation for general chemical mechanisms publication-title: J. Phys. Chem. doi: 10.1021/jp961573u – volume: 34 start-page: 252 year: 2005 end-page: 294 ident: CR11 article-title: Bernstein’s second theorem and Viro’s method for sparse polynomial systems in chemistry publication-title: Adv. Appl. Math. doi: 10.1016/j.aam.2004.04.003 – volume: 10 start-page: 957 issue: 4 year: 2013 end-page: 969 ident: CR20 article-title: Analytical solution of steady-state equations for chemical reaction networks with bilinear rate laws publication-title: IEEE/ACM Transactions on Computational Biology and Informatics. – ident: CR22 – volume: 48 start-page: 41 year: 2016 end-page: 71 ident: CR7 article-title: Uniqueness of feasible equilibria for mass action law (MAL) kinetic systems publication-title: J. Process Control doi: 10.1016/j.jprocont.2016.10.002 – ident: CR18 – volume: 11 start-page: 110 issue: 1 year: 2012 end-page: 134 ident: CR13 article-title: Switching in mass action networks based on linear inequalities publication-title: SIAM J. Applied Dynamical Systems. doi: 10.1137/10081722X – volume: 577 start-page: 35 year: 2005 end-page: 46 ident: CR12 article-title: Analytic solution for the electrocatalytic oxidation of formic acid publication-title: J. Electroanal. Chem. doi: 10.1016/j.jelechem.2004.11.011 – volume: 17 start-page: 862 issue: 1 year: 2019 end-page: 892 ident: CR16 article-title: Realizations of kinetic differential equations publication-title: Math. Biosci. Eng. doi: 10.3934/mbe.2020046 – ident: CR4 – volume: 49 start-page: 187 issue: 3 year: 1972 end-page: 194 ident: CR3 article-title: Complex balancing in general kinetic systems publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00255665 – ident: CR17 – year: 1985 ident: CR23 publication-title: The theory of matrices: with applications – volume: 33 start-page: 275 year: 2002 end-page: 395 ident: CR19 article-title: A family of sparse polynomial systems arising in chemical reaction systems publication-title: J. Symbolic Comput. doi: 10.1006/jsco.2001.0512 – ident: CR10 – volume: 15 start-page: 3042 year: 2004 end-page: 3052 ident: CR8 article-title: Properties of switch-like bioregulatory networks studied by simulation of the hypoxia response control system publication-title: Mol. Biol. Cell doi: 10.1091/mbc.e03-12-0897 – volume: 24 start-page: 418 year: 1999 end-page: 422 ident: CR1 article-title: Multistability: a major means of differentiation and evolution in biological systems publication-title: TIBS. – ident: CR6 – ident: CR5 – volume: 74 start-page: 1027 year: 2012 end-page: 1065 ident: CR14 article-title: Chemical reaction systems with toric steady states publication-title: Bull. Math. Biol. doi: 10.1007/s11538-011-9685-x – volume: 3 start-page: 1657 year: 2007 end-page: 1668 ident: CR9 article-title: Pathway switching explains the sharp response characteristic of hypoxia response network publication-title: PLoS Comput. Biol. doi: 10.1371/journal.pcbi.0030171 – volume: 49 start-page: 172 year: 1972 end-page: 186 ident: CR2 article-title: Necessary and sufficient conditions for complex balancing in chemical kinetics publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00255664 – volume: 599 start-page: 64 year: 2015 end-page: 78 ident: CR15 article-title: Inferring reaction systems from ordinary differential equations publication-title: Theor. Comput. Sci. doi: 10.1016/j.tcs.2014.07.032 – ident: 9647_CR5 doi: 10.1016/0009-2509(87)80099-4 – ident: 9647_CR22 doi: 10.1090/conm/286/04754 – volume: 577 start-page: 35 year: 2005 ident: 9647_CR12 publication-title: J. Electroanal. Chem. doi: 10.1016/j.jelechem.2004.11.011 – volume: 33 start-page: 275 year: 2002 ident: 9647_CR19 publication-title: J. Symbolic Comput. doi: 10.1006/jsco.2001.0512 – volume: 24 start-page: 418 year: 1999 ident: 9647_CR1 publication-title: TIBS. – volume: 15 start-page: 3042 year: 2004 ident: 9647_CR8 publication-title: Mol. Biol. Cell doi: 10.1091/mbc.e03-12-0897 – ident: 9647_CR17 doi: 10.1073/pnas.0308265100 – volume-title: The theory of matrices: with applications year: 1985 ident: 9647_CR23 – volume: 48 start-page: 41 year: 2016 ident: 9647_CR7 publication-title: J. Process Control doi: 10.1016/j.jprocont.2016.10.002 – volume: 11 start-page: 110 issue: 1 year: 2012 ident: 9647_CR13 publication-title: SIAM J. Applied Dynamical Systems. doi: 10.1137/10081722X – volume: 100 start-page: 19023 issue: 49 year: 1996 ident: 9647_CR21 publication-title: J. Phys. Chem. doi: 10.1021/jp961573u – volume: 17 start-page: 862 issue: 1 year: 2019 ident: 9647_CR16 publication-title: Math. Biosci. Eng. doi: 10.3934/mbe.2020046 – volume: 10 start-page: 957 issue: 4 year: 2013 ident: 9647_CR20 publication-title: IEEE/ACM Transactions on Computational Biology and Informatics. – volume: 49 start-page: 187 issue: 3 year: 1972 ident: 9647_CR3 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00255665 – volume: 599 start-page: 64 year: 2015 ident: 9647_CR15 publication-title: Theor. Comput. Sci. doi: 10.1016/j.tcs.2014.07.032 – ident: 9647_CR6 doi: 10.1016/0009-2509(88)87122-7 – volume: 34 start-page: 252 year: 2005 ident: 9647_CR11 publication-title: Adv. Appl. Math. doi: 10.1016/j.aam.2004.04.003 – volume: 49 start-page: 172 year: 1972 ident: 9647_CR2 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00255664 – ident: 9647_CR18 doi: 10.1016/j.mbs.2007.07.003 – ident: 9647_CR4 – ident: 9647_CR10 doi: 10.1002/9780470142622.ch1 – volume: 74 start-page: 1027 year: 2012 ident: 9647_CR14 publication-title: Bull. Math. Biol. doi: 10.1007/s11538-011-9685-x – volume: 3 start-page: 1657 year: 2007 ident: 9647_CR9 publication-title: PLoS Comput. Biol. doi: 10.1371/journal.pcbi.0030171 |
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| SubjectTerms | Biochemistry Biological and Medical Physics Biophysics Chemical reactions Complex Fluids and Microfluidics Complex Systems Humans Hypoxia Kinetics Models, Biological Neurosciences Physics Physics and Astronomy Soft and Granular Matter |
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| Title | Generic algebraic conditions for the occurrence of switch-like behavior of a chemical kinetic system of the hypoxia pathway |
| URI | https://link.springer.com/article/10.1007/s10867-023-09647-x https://www.ncbi.nlm.nih.gov/pubmed/38127158 https://www.proquest.com/docview/2925773247 https://www.proquest.com/docview/2904571490 https://pubmed.ncbi.nlm.nih.gov/PMC10864246 |
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