Combined Newton-Gradient Method for Constrained Root-Finding in Chemical Reaction Networks
In this work, we present a fast, globally convergent, iterative algorithm for computing the asymptotically stable states of nonlinear large-scale systems of quadratic autonomous ordinary differential equations (ODE) modeling, e.g., the dynamic of complex chemical reaction networks. Toward this aim,...
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| Vydané v: | Journal of optimization theory and applications Ročník 200; číslo 1; s. 404 - 427 |
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| Hlavní autori: | , , , |
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| Jazyk: | English |
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New York
Springer US
01.01.2024
Springer Nature B.V |
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| ISSN: | 0022-3239, 1573-2878 |
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| Abstract | In this work, we present a fast, globally convergent, iterative algorithm for computing the asymptotically stable states of nonlinear large-scale systems of quadratic autonomous ordinary differential equations (ODE) modeling, e.g., the dynamic of complex chemical reaction networks. Toward this aim, we reformulate the problem as a box-constrained optimization problem where the roots of a set of nonlinear equations need to be determined. Then, we propose to use a projected Newton’s approach combined with a gradient descent algorithm so that every limit point of the sequence generated by the overall algorithm is a stationary point. More importantly, we suggest replacing the standard orthogonal projector with a novel operator that ensures the final solution to satisfy the box constraints while lowering the probability that the intermediate points reached at each iteration belong to the boundary of the box where the Jacobian of the objective function may be singular. The effectiveness of the proposed approach is shown in a practical scenario concerning a chemical reaction network modeling the signaling network of colorectal cancer cells. Specifically, in this scenario the proposed algorithm is proved to be faster and more accurate than a classical dynamical approach where the asymptotically stable states are computed as the limit points of the flux of the Cauchy problem associated with the ODE system. |
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| AbstractList | In this work, we present a fast, globally convergent, iterative algorithm for computing the asymptotically stable states of nonlinear large-scale systems of quadratic autonomous ordinary differential equations (ODE) modeling, e.g., the dynamic of complex chemical reaction networks. Toward this aim, we reformulate the problem as a box-constrained optimization problem where the roots of a set of nonlinear equations need to be determined. Then, we propose to use a projected Newton’s approach combined with a gradient descent algorithm so that every limit point of the sequence generated by the overall algorithm is a stationary point. More importantly, we suggest replacing the standard orthogonal projector with a novel operator that ensures the final solution to satisfy the box constraints while lowering the probability that the intermediate points reached at each iteration belong to the boundary of the box where the Jacobian of the objective function may be singular. The effectiveness of the proposed approach is shown in a practical scenario concerning a chemical reaction network modeling the signaling network of colorectal cancer cells. Specifically, in this scenario the proposed algorithm is proved to be faster and more accurate than a classical dynamical approach where the asymptotically stable states are computed as the limit points of the flux of the Cauchy problem associated with the ODE system. |
| Author | Benvenuto, Federico Berra, Silvia La Torraca, Alessandro Sommariva, Sara |
| Author_xml | – sequence: 1 givenname: Silvia surname: Berra fullname: Berra, Silvia organization: Dipartimento di Matematica, Università di Genova – sequence: 2 givenname: Alessandro surname: La Torraca fullname: La Torraca, Alessandro organization: Data and Analytics Chapter, Roche S.p.A – sequence: 3 givenname: Federico surname: Benvenuto fullname: Benvenuto, Federico organization: Dipartimento di Matematica, Università di Genova – sequence: 4 givenname: Sara orcidid: 0000-0003-1835-9399 surname: Sommariva fullname: Sommariva, Sara email: sommariva@dima.unige.it organization: Dipartimento di Matematica, Università di Genova |
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| CitedBy_id | crossref_primary_10_1109_OJPEL_2025_3604475 crossref_primary_10_1038_s41598_024_67862_5 crossref_primary_10_1016_j_mex_2024_102865 |
| Cites_doi | 10.1088/1361-6420/aa5bfd 10.1109/MCS.2009.932926 10.1007/BF02142807 10.1007/s00211-004-0569-y 10.1002/nme.5426 10.1137/S0036144504446096 10.1088/0266-5611/31/9/095008 10.1007/s10107-006-0706-8 10.1137/S1052623403426556 10.1088/0266-5611/25/1/015002 10.1023/A:1008714607737 10.1002/ijch.201800003 10.1137/080719820 10.1007/BF00375614 10.1137/S1064827594276424 10.1049/ip-syb:20050045 10.1016/S0092-8674(00)00112-4 10.1017/9781108690935 10.1016/0771-050X(80)90013-3 10.1080/10556780512331318182 10.1007/s00285-021-01607-0 10.1090/S0002-9904-1964-11178-2 10.1007/s10589-020-00240-9 10.1039/FT9918702561 10.1007/s10910-015-0511-9 10.1016/0041-5553(66)90114-5 10.1101/cshperspect.a006098 10.1038/s41598-021-99073-7 10.1137/0331029 10.1016/j.laa.2011.05.036 10.1007/BF02591747 10.1016/0009-2509(87)80099-4 10.1137/0320018 10.18632/oncotarget.3238 10.1137/060649513 10.1093/imanum/8.1.141 10.1371/journal.pcbi.1005454 10.1137/17M1128538 10.1007/0-387-30065-1_4 |
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| Keywords | 65L05 Projected Newton’s method Box-constrained optimization 65K10 Chemical reaction network Projected gradient descent Nonnegative constraints |
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| References | Bonettini, Loris, Porta, Prato, Rebegoldi (CR4) 2017; 33 Gábor, Hangos, Banga, Szederkényi (CR19) 2015; 53 Han, Neumann (CR22) 2003; 12 Bonettini, Zanella, Zanni (CR6) 2008; 25 Feinberg (CR18) 1995; 132 Goldstein (CR21) 1964; 70 Barzilai, Borwein (CR1) 1988; 8 Poloni (CR29) 2013; 438 Pougkakiotis, Gondzio (CR30) 2021; 78 Feinberg (CR17) 1987; 42 Bonettini, Prato (CR5) 2015; 31 CR31 Otero-Muras, Yordanov, Stelling (CR28) 2017; 13 Sever, Brugge (CR34) 2015; 5 Wang, Xiu (CR42) 2000; 16 Bertsekas (CR3) 1997 Drud (CR16) 1985; 31 Nocedal, Wächter, Waltz (CR27) 2009; 19 Di Serafino, Toraldo, Viola, Barlow (CR14) 2018; 28 Sommariva, Caviglia, Ravera, Frassoni, Benvenuto, Tortolina, Castagnino, Parodi, Piana (CR39) 2021; 11 Dai, Fletcher (CR12) 2005; 100 Chen, Vuik (CR9) 2017; 110 Levitin, Polyak (CR25) 1966; 6 Chellaboina, Bhat, Haddad, Bernstein (CR8) 2009; 29 Serafini, Zanghirati, Zanni (CR33) 2005; 20 Schuster, Höfer (CR32) 1991; 87 Shampine, Reichelt (CR35) 1997; 18 Crisci, Ruggiero, Zanni (CR11) 2019; 356 Gill, Murray, Saunders (CR20) 2005; 47 Wächter, Biegler (CR41) 2005; 16 Tortolina, Duffy, Maffei, Castagnino, Carmody, Kolch, Kholodenko, De Ambrosi, Barla, Biganzoli (CR40) 2015; 6 CR7 Dormand, Prince (CR15) 1980; 6 Khanh (CR24) 1993; 31 Yu, Craciun (CR44) 2018; 58 Jordan, Landau, Iyengar (CR23) 2000; 103 Shi (CR36) 1996; 12 Di Serafino, Toraldo, Viola (CR13) 2021; 409 Sommariva, Caviglia, Piana (CR38) 2021; 82 Nesterov, Polyak (CR26) 2006; 108 Conradi, Saez-Rodriguez, Gilles, Raisch (CR10) 2005; 152 Bertsekas (CR2) 1982; 20 Watt, Borhani, Katsaggelos (CR43) 2020 Shinar, Alon, Feinberg (CR37) 2009; 69 DP Bertsekas (2323_CR2) 1982; 20 I Otero-Muras (2323_CR28) 2017; 13 JD Jordan (2323_CR23) 2000; 103 V Chellaboina (2323_CR8) 2009; 29 S Schuster (2323_CR32) 1991; 87 2323_CR7 J Dormand (2323_CR15) 1980; 6 S Bonettini (2323_CR4) 2017; 33 Y Shi (2323_CR36) 1996; 12 L Han (2323_CR22) 2003; 12 S Bonettini (2323_CR5) 2015; 31 A Gábor (2323_CR19) 2015; 53 AA Goldstein (2323_CR21) 1964; 70 A Drud (2323_CR16) 1985; 31 L Tortolina (2323_CR40) 2015; 6 YH Dai (2323_CR12) 2005; 100 Y Nesterov (2323_CR26) 2006; 108 R Sever (2323_CR34) 2015; 5 J Barzilai (2323_CR1) 1988; 8 S Bonettini (2323_CR6) 2008; 25 M Feinberg (2323_CR17) 1987; 42 D Di Serafino (2323_CR14) 2018; 28 PE Gill (2323_CR20) 2005; 47 PY Yu (2323_CR44) 2018; 58 C Wang (2323_CR42) 2000; 16 LF Shampine (2323_CR35) 1997; 18 A Wächter (2323_CR41) 2005; 16 T Serafini (2323_CR33) 2005; 20 C Conradi (2323_CR10) 2005; 152 DP Bertsekas (2323_CR3) 1997 S Pougkakiotis (2323_CR30) 2021; 78 S Sommariva (2323_CR39) 2021; 11 J Watt (2323_CR43) 2020 M Feinberg (2323_CR18) 1995; 132 F Poloni (2323_CR29) 2013; 438 S Sommariva (2323_CR38) 2021; 82 D Di Serafino (2323_CR13) 2021; 409 G Shinar (2323_CR37) 2009; 69 J Chen (2323_CR9) 2017; 110 PNQ Khanh (2323_CR24) 1993; 31 J Nocedal (2323_CR27) 2009; 19 2323_CR31 S Crisci (2323_CR11) 2019; 356 ES Levitin (2323_CR25) 1966; 6 |
| References_xml | – volume: 33 issue: 5 year: 2017 ident: CR4 article-title: On the convergence of a linesearch based proximal-gradient method for nonconvex optimization publication-title: Inverse Probl. doi: 10.1088/1361-6420/aa5bfd – volume: 29 start-page: 60 issue: 4 year: 2009 end-page: 78 ident: CR8 article-title: Modeling and analysis of mass-action kinetics publication-title: IEEE Control Syst. Mag. doi: 10.1109/MCS.2009.932926 – volume: 12 start-page: 273 issue: 2 year: 1996 end-page: 286 ident: CR36 article-title: A globalization procedure for solving nonlinear systems of equations publication-title: Numer. Algorithms doi: 10.1007/BF02142807 – year: 1997 ident: CR3 publication-title: Nonlinear Programming – volume: 100 start-page: 21 issue: 1 year: 2005 end-page: 47 ident: CR12 article-title: Projected Barzilai–Borwein methods for large-scale box-constrained quadratic programming publication-title: Numer. Math. doi: 10.1007/s00211-004-0569-y – volume: 12 start-page: 167 year: 2003 end-page: 171 ident: CR22 article-title: Combining quasi-Newton and steepest descent directions publication-title: Int. J. Appl. Math. – volume: 110 start-page: 661 issue: 7 year: 2017 end-page: 674 ident: CR9 article-title: Globalization technique for projected Newton–Krylov methods publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.5426 – volume: 409 start-page: 612 issue: 125 year: 2021 ident: CR13 article-title: Using gradient directions to get global convergence of Newton-type methods publication-title: Appl. Math. Comput. – volume: 356 start-page: 312 year: 2019 end-page: 327 ident: CR11 article-title: Steplength selection in gradient projection methods for box-constrained quadratic programs publication-title: Appl. Math. Comput. – volume: 47 start-page: 99 issue: 1 year: 2005 end-page: 131 ident: CR20 article-title: SNOPT: an SQP algorithm for large-scale constrained optimization publication-title: SIAM Rev. doi: 10.1137/S0036144504446096 – volume: 31 issue: 9 year: 2015 ident: CR5 article-title: New convergence results for the scaled gradient projection method publication-title: Inverse Probl. doi: 10.1088/0266-5611/31/9/095008 – volume: 108 start-page: 177 issue: 1 year: 2006 end-page: 205 ident: CR26 article-title: Cubic regularization of newton method and its global performance publication-title: Math. Program. doi: 10.1007/s10107-006-0706-8 – volume: 16 start-page: 1 issue: 1 year: 2005 end-page: 31 ident: CR41 article-title: Line search filter methods for nonlinear programming: motivation and global convergence publication-title: SIAM J. Optim. doi: 10.1137/S1052623403426556 – volume: 25 issue: 1 year: 2008 ident: CR6 article-title: A scaled gradient projection method for constrained image deblurring publication-title: Inverse Probl. doi: 10.1088/0266-5611/25/1/015002 – volume: 16 start-page: 111 issue: 2 year: 2000 end-page: 120 ident: CR42 article-title: Convergence of the gradient projection method for generalized convex minimization publication-title: Comput. Optim. Appl. doi: 10.1023/A:1008714607737 – volume: 58 start-page: 733 issue: 6–7 year: 2018 end-page: 741 ident: CR44 article-title: Mathematical analysis of chemical reaction systems publication-title: Isr. J. Chem. doi: 10.1002/ijch.201800003 – volume: 69 start-page: 977 issue: 4 year: 2009 end-page: 998 ident: CR37 article-title: Sensitivity and robustness in chemical reaction networks publication-title: SIAM J. Appl. Math. doi: 10.1137/080719820 – volume: 132 start-page: 311 issue: 4 year: 1995 end-page: 370 ident: CR18 article-title: The existence and uniqueness of steady states for a class of chemical reaction networks publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00375614 – volume: 18 start-page: 1 issue: 1 year: 1997 end-page: 22 ident: CR35 article-title: The MATLAB ODE suite publication-title: SIAM J. Sci. Comput. doi: 10.1137/S1064827594276424 – volume: 152 start-page: 243 issue: 4 year: 2005 end-page: 248 ident: CR10 article-title: Using chemical reaction network theory to discard a kinetic mechanism hypothesis publication-title: IEE Proc. Syst. Biol. doi: 10.1049/ip-syb:20050045 – volume: 103 start-page: 193 issue: 2 year: 2000 end-page: 200 ident: CR23 article-title: Signaling networks: the origins of cellular multitasking publication-title: Cell doi: 10.1016/S0092-8674(00)00112-4 – year: 2020 ident: CR43 publication-title: Machine Learning Refined: Foundations, Algorithms, and Applications doi: 10.1017/9781108690935 – volume: 6 start-page: 19 issue: 1 year: 1980 end-page: 26 ident: CR15 article-title: A family of embedded Runge–Kutta formulae publication-title: J. Comput. Appl. Math. doi: 10.1016/0771-050X(80)90013-3 – volume: 20 start-page: 353 issue: 2–3 year: 2005 end-page: 378 ident: CR33 article-title: Gradient projection methods for quadratic programs and applications in training support vector machines publication-title: Optim. Methods Softw. doi: 10.1080/10556780512331318182 – volume: 82 start-page: 1 issue: 6 year: 2021 end-page: 25 ident: CR38 article-title: Gain and loss of function mutations in biological chemical reaction networks: a mathematical model with application to colorectal cancer cells publication-title: J. Math. Biol. doi: 10.1007/s00285-021-01607-0 – volume: 70 start-page: 709 issue: 5 year: 1964 end-page: 710 ident: CR21 article-title: Convex programming in Hilbert space publication-title: Bull. Am. Math. Soc. doi: 10.1090/S0002-9904-1964-11178-2 – volume: 78 start-page: 307 year: 2021 end-page: 351 ident: CR30 article-title: An interior point-proximal method of multipliers for convex quadratic programming publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-020-00240-9 – ident: CR31 – volume: 87 start-page: 2561 issue: 16 year: 1991 end-page: 2566 ident: CR32 article-title: Determining all extreme semi-positive conservation relations in chemical reaction systems: a test criterion for conservativity publication-title: J. Chem. Soc. Faraday Trans. doi: 10.1039/FT9918702561 – volume: 53 start-page: 1657 issue: 8 year: 2015 end-page: 1686 ident: CR19 article-title: Reaction network realizations of rational biochemical systems and their structural properties publication-title: J. Math. Chem. doi: 10.1007/s10910-015-0511-9 – volume: 6 start-page: 1 issue: 5 year: 1966 end-page: 50 ident: CR25 article-title: Constrained minimization methods publication-title: USSR Comput. Math. Math. Phys doi: 10.1016/0041-5553(66)90114-5 – volume: 5 issue: 4 year: 2015 ident: CR34 article-title: Signal transduction in cancer publication-title: Cold Spring Harb. Perspect. Med. doi: 10.1101/cshperspect.a006098 – volume: 11 start-page: 1 issue: 1 year: 2021 end-page: 13 ident: CR39 article-title: Computational quantification of global effects induced by mutations and drugs in signaling networks of colorectal cancer cells publication-title: Sci. Rep. doi: 10.1038/s41598-021-99073-7 – volume: 31 start-page: 646 year: 1993 end-page: 658 ident: CR24 article-title: Optimality conditions via norm scalarization in vector optimization publication-title: SIAM J. Control Optim. doi: 10.1137/0331029 – volume: 438 start-page: 1627 issue: 4 year: 2013 end-page: 1644 ident: CR29 article-title: Quadratic vector equations publication-title: Linear Algebra Appl. doi: 10.1016/j.laa.2011.05.036 – volume: 31 start-page: 153 year: 1985 end-page: 191 ident: CR16 article-title: CONOPT: a GRG code for large sparse dynamic nonlinear optimization problems publication-title: Math. Program. doi: 10.1007/BF02591747 – volume: 42 start-page: 2229 issue: 10 year: 1987 end-page: 2268 ident: CR17 article-title: Chemical reaction networks structure and the stability of complex isothermal reactors-I publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(87)80099-4 – ident: CR7 – volume: 20 start-page: 221 issue: 2 year: 1982 end-page: 246 ident: CR2 article-title: Projected newton methods for optimization problems with simple constraints publication-title: SIAM J. Control Optim. doi: 10.1137/0320018 – volume: 6 start-page: 5041 issue: 7 year: 2015 end-page: 5058 ident: CR40 article-title: Advances in dynamic modeling of colorectal cancer signaling-network regions, a path toward targeted therapies publication-title: Oncotarget doi: 10.18632/oncotarget.3238 – volume: 19 start-page: 1674 issue: 4 year: 2009 end-page: 1693 ident: CR27 article-title: Adaptive barrier update strategies for nonlinear interior methods publication-title: SIAM J. Optim. doi: 10.1137/060649513 – volume: 8 start-page: 141 issue: 1 year: 1988 end-page: 148 ident: CR1 article-title: Two-point step size gradient methods publication-title: IMA J. Numer. Anal. doi: 10.1093/imanum/8.1.141 – volume: 13 issue: 4 year: 2017 ident: CR28 article-title: Chemical reaction network theory elucidates sources of multistability in interferon signaling publication-title: PLoS Comput. Biol. doi: 10.1371/journal.pcbi.1005454 – volume: 28 start-page: 2809 issue: 4 year: 2018 end-page: 2838 ident: CR14 article-title: A two-phase gradient method for quadratic programming problems with a single linear constraint and bounds on the variables publication-title: SIAM J. Optim. doi: 10.1137/17M1128538 – volume: 29 start-page: 60 issue: 4 year: 2009 ident: 2323_CR8 publication-title: IEEE Control Syst. Mag. doi: 10.1109/MCS.2009.932926 – volume: 6 start-page: 19 issue: 1 year: 1980 ident: 2323_CR15 publication-title: J. Comput. Appl. Math. doi: 10.1016/0771-050X(80)90013-3 – volume: 110 start-page: 661 issue: 7 year: 2017 ident: 2323_CR9 publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.5426 – volume: 12 start-page: 273 issue: 2 year: 1996 ident: 2323_CR36 publication-title: Numer. Algorithms doi: 10.1007/BF02142807 – volume: 16 start-page: 1 issue: 1 year: 2005 ident: 2323_CR41 publication-title: SIAM J. Optim. doi: 10.1137/S1052623403426556 – volume: 11 start-page: 1 issue: 1 year: 2021 ident: 2323_CR39 publication-title: Sci. Rep. doi: 10.1038/s41598-021-99073-7 – volume-title: Machine Learning Refined: Foundations, Algorithms, and Applications year: 2020 ident: 2323_CR43 doi: 10.1017/9781108690935 – volume: 31 issue: 9 year: 2015 ident: 2323_CR5 publication-title: Inverse Probl. doi: 10.1088/0266-5611/31/9/095008 – volume: 18 start-page: 1 issue: 1 year: 1997 ident: 2323_CR35 publication-title: SIAM J. Sci. Comput. doi: 10.1137/S1064827594276424 – volume: 16 start-page: 111 issue: 2 year: 2000 ident: 2323_CR42 publication-title: Comput. Optim. Appl. doi: 10.1023/A:1008714607737 – volume: 13 issue: 4 year: 2017 ident: 2323_CR28 publication-title: PLoS Comput. Biol. doi: 10.1371/journal.pcbi.1005454 – volume: 19 start-page: 1674 issue: 4 year: 2009 ident: 2323_CR27 publication-title: SIAM J. Optim. doi: 10.1137/060649513 – volume: 5 issue: 4 year: 2015 ident: 2323_CR34 publication-title: Cold Spring Harb. Perspect. Med. doi: 10.1101/cshperspect.a006098 – volume: 8 start-page: 141 issue: 1 year: 1988 ident: 2323_CR1 publication-title: IMA J. Numer. Anal. doi: 10.1093/imanum/8.1.141 – volume: 25 issue: 1 year: 2008 ident: 2323_CR6 publication-title: Inverse Probl. doi: 10.1088/0266-5611/25/1/015002 – volume: 356 start-page: 312 year: 2019 ident: 2323_CR11 publication-title: Appl. Math. Comput. – volume: 100 start-page: 21 issue: 1 year: 2005 ident: 2323_CR12 publication-title: Numer. Math. doi: 10.1007/s00211-004-0569-y – volume: 53 start-page: 1657 issue: 8 year: 2015 ident: 2323_CR19 publication-title: J. Math. Chem. doi: 10.1007/s10910-015-0511-9 – volume: 438 start-page: 1627 issue: 4 year: 2013 ident: 2323_CR29 publication-title: Linear Algebra Appl. doi: 10.1016/j.laa.2011.05.036 – volume: 70 start-page: 709 issue: 5 year: 1964 ident: 2323_CR21 publication-title: Bull. Am. Math. Soc. doi: 10.1090/S0002-9904-1964-11178-2 – volume-title: Nonlinear Programming year: 1997 ident: 2323_CR3 – volume: 103 start-page: 193 issue: 2 year: 2000 ident: 2323_CR23 publication-title: Cell doi: 10.1016/S0092-8674(00)00112-4 – volume: 58 start-page: 733 issue: 6–7 year: 2018 ident: 2323_CR44 publication-title: Isr. J. Chem. doi: 10.1002/ijch.201800003 – volume: 20 start-page: 353 issue: 2–3 year: 2005 ident: 2323_CR33 publication-title: Optim. Methods Softw. doi: 10.1080/10556780512331318182 – volume: 31 start-page: 153 year: 1985 ident: 2323_CR16 publication-title: Math. Program. doi: 10.1007/BF02591747 – volume: 69 start-page: 977 issue: 4 year: 2009 ident: 2323_CR37 publication-title: SIAM J. Appl. Math. doi: 10.1137/080719820 – volume: 409 start-page: 612 issue: 125 year: 2021 ident: 2323_CR13 publication-title: Appl. Math. Comput. – ident: 2323_CR31 – volume: 82 start-page: 1 issue: 6 year: 2021 ident: 2323_CR38 publication-title: J. Math. Biol. doi: 10.1007/s00285-021-01607-0 – ident: 2323_CR7 doi: 10.1007/0-387-30065-1_4 – volume: 28 start-page: 2809 issue: 4 year: 2018 ident: 2323_CR14 publication-title: SIAM J. Optim. doi: 10.1137/17M1128538 – volume: 47 start-page: 99 issue: 1 year: 2005 ident: 2323_CR20 publication-title: SIAM Rev. doi: 10.1137/S0036144504446096 – volume: 87 start-page: 2561 issue: 16 year: 1991 ident: 2323_CR32 publication-title: J. Chem. Soc. Faraday Trans. doi: 10.1039/FT9918702561 – volume: 33 issue: 5 year: 2017 ident: 2323_CR4 publication-title: Inverse Probl. doi: 10.1088/1361-6420/aa5bfd – volume: 108 start-page: 177 issue: 1 year: 2006 ident: 2323_CR26 publication-title: Math. Program. doi: 10.1007/s10107-006-0706-8 – volume: 6 start-page: 5041 issue: 7 year: 2015 ident: 2323_CR40 publication-title: Oncotarget doi: 10.18632/oncotarget.3238 – volume: 6 start-page: 1 issue: 5 year: 1966 ident: 2323_CR25 publication-title: USSR Comput. Math. Math. Phys doi: 10.1016/0041-5553(66)90114-5 – volume: 132 start-page: 311 issue: 4 year: 1995 ident: 2323_CR18 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00375614 – volume: 20 start-page: 221 issue: 2 year: 1982 ident: 2323_CR2 publication-title: SIAM J. Control Optim. doi: 10.1137/0320018 – volume: 42 start-page: 2229 issue: 10 year: 1987 ident: 2323_CR17 publication-title: Chem. Eng. Sci. doi: 10.1016/0009-2509(87)80099-4 – volume: 12 start-page: 167 year: 2003 ident: 2323_CR22 publication-title: Int. J. Appl. Math. – volume: 31 start-page: 646 year: 1993 ident: 2323_CR24 publication-title: SIAM J. Control Optim. doi: 10.1137/0331029 – volume: 152 start-page: 243 issue: 4 year: 2005 ident: 2323_CR10 publication-title: IEE Proc. Syst. Biol. doi: 10.1049/ip-syb:20050045 – volume: 78 start-page: 307 year: 2021 ident: 2323_CR30 publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-020-00240-9 |
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| SubjectTerms | Algorithms Applications of Mathematics Asymptotic properties Calculus of Variations and Optimal Control; Optimization Cauchy problems Chemical reactions Colorectal cancer Constraints Differential equations Engineering Iterative algorithms Iterative methods Mathematical models Mathematics Mathematics and Statistics Modelling Newton methods Nonlinear equations Nonlinear systems Operations Research/Decision Theory Operators (mathematics) Optimization Ordinary differential equations Original Paper Theory of Computation |
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| Title | Combined Newton-Gradient Method for Constrained Root-Finding in Chemical Reaction Networks |
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