Heldman, M.; Isaacson, S. A.; Liu, Q.; Spiliopoulos, K. Mean field limits of particle-based stochastic reaction-drift-diffusion models. (English) Zbl 07972416 Nonlinearity 38, No. 2, Article ID 025004, 55 p., 55 p. (2025). MSC: 35K57 35A35 35R60 82C22 82C31 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sylvia, Jasinth; Ghosh, Surath Solution of chemical reaction model using Haar wavelet method with Caputo derivative. (English) Zbl 07922446 J. Math. Chem. 62, No. 9, 2222-2252 (2024). MSC: 34C60 92E20 34A08 65L99 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Sanatan; Karmakar, Poly; Pal, Tilak Kumar; Sarkar, Soumitra; Ali, Asgar; Jana, Rabindra Nath Chemical dynamics in a radioactive platinum-cerium oxide-water mixture within a vibrating Riga channel subject to sudden pressure gradient onset. (English) Zbl 07901493 J. Math. Chem. 62, No. 7, 1727-1778 (2024). MSC: 80Axx 82Dxx 76Axx × Cite Format Result Cite Review PDF Full Text: DOI
Desoeuvres, Aurélien; Iosif, Alexandru; Lüders, Christoph; Radulescu, Ovidiu; Rahkooy, Hamid; Seiß, Matthias; Sturm, Thomas Reduction of chemical reaction networks with approximate conservation laws. (English) Zbl 1533.34039 SIAM J. Appl. Dyn. Syst. 23, No. 1, 256-296 (2024). MSC: 34C60 92C45 92B20 34E15 34E13 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nandi, Susmay; Nadeem, Sohail Quadratic regression analysis of the unsteady \(\mathrm{Ag+TiO_2/H_2O}\), \(\mathrm{Ag+TiO_2/CH_3 OH}\) and \(\mathrm{Ag+TiO_2/H_2 O}\)-\(\mathrm{C_2 H_6O_2}\) hybrid nano-fluids flow along a deformable cylinder with oblique Lorentz force: a comparative approach. (English) Zbl 1537.35294 ZAMM, Z. Angew. Math. Mech. 103, No. 3, Article ID e202200380, 25 p. (2023). MSC: 35Q35 35Q74 35Q79 76T20 76S05 76V05 80A19 80A21 78A35 82D80 74F10 74F05 74F15 74F25 74M10 35A24 62J05 65L10 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Pandit, Sapna Wavelets computational modeling of nonlinear coupled reaction-diffusion models arising in chemical processes. (English) Zbl 1536.65095 Math. Methods Appl. Sci. 46, No. 18, 18633-18650 (2023). MSC: 65M20 35K51 35K55 35K57 65T60 80A30 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Claudia Dynamics of a class of \(3\)-dimensional Lotka-Volterra systems. (English) Zbl 1527.34080 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 4, 303-307 (2023). Reviewer: Eduard Musafirov (Grodno) MSC: 34C60 34A05 34C05 34C25 92C45 × Cite Format Result Cite Review PDF Full Text: Link Link
Fortun, Noel T.; Mendoza, Eduardo R. Comparative analysis of carbon cycle models via kinetic representations. (English) Zbl 1516.92136 J. Math. Chem. 61, No. 5, 896-932 (2023). Reviewer: Dieter Erle (Dortmund) MSC: 92E20 92C40 92C42 92C45 34C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banaji, Murad; Boros, Balázs The smallest bimolecular mass action reaction networks admitting Andronov-Hopf bifurcation. (English) Zbl 1514.34075 Nonlinearity 36, No. 2, 1398-1433 (2023). MSC: 34C60 34C05 34C23 92C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mabood, F.; Abbasi, A.; Farooq, W.; Hussain, Z.; Badruddin, I. A. Effects of non-linear radiation and chemical reaction on Oldroyd-B nanofluid near oblique stagnation point flow. (English) Zbl 07851697 Chin. J. Phys., Taipei 77, 1197-1208 (2022). MSC: 76Dxx 80Axx 76Axx × Cite Format Result Cite Review PDF Full Text: DOI
Roy, Nepal Chandra; Pop, Ioan Heat and mass transfer of a hybrid nanofluid flow with binary chemical reaction over a permeable shrinking surface. (English) Zbl 07840819 Chin. J. Phys., Taipei 76, 283-298 (2022). MSC: 80Axx 76Vxx 76Axx × Cite Format Result Cite Review PDF Full Text: DOI
Backenköhler, Michael; Bortolussi, Luca; Wolf, Verena Variance reduction in stochastic reaction networks using control variates. (English) Zbl 1528.68108 Raskin, Jean-François (ed.) et al., Principles of systems design. Essays dedicated to Thomas A. Henzinger on the occasion of his 60th birthday. Cham: Springer. Lect. Notes Comput. Sci. 13660, 456-474 (2022). MSC: 68Q07 60J28 68Q87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsompanas, Michail-Antisthenis; Chatzinikolaou, Theodoros Panagiotis; Sirakoulis, Georgios Ch. Cellular automata application on chemical computing logic circuits. (English) Zbl 1520.68083 Chopard, Bastien (ed.) et al., Cellular automata. 15th international conference on cellular automata for research and industry, ACRI 2022, Geneva, Switzerland, September 12–15, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13402, 3-14 (2022). MSC: 68Q80 68Q06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Bo; Ouannas, Adel; Karaca, Yeliz; Xia, Wei-Feng; Jahanshahi, Hadi; Alkhateeb, Abdulhameed F.; Nour, Majid A hybrid approach for synchronizing between two reaction-diffusion systems of integer- and fractional-order applied on certain chemical models. (English) Zbl 1498.93696 Fractals 30, No. 5, Article ID 2240145, 11 p. (2022). MSC: 93D99 93C20 35K57 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Mathur, Shaan; Ostrovsky, Rafail A combinatorial characterization of self-stabilizing population protocols. (English) Zbl 1487.68048 Inf. Comput. 285, Part B, Article ID 104829, 14 p. (2022). MSC: 68M14 68M12 68Q10 68R10 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Polly Y.; Craciun, Gheorghe; Mincheva, Maya; Pantea, Casian A graph-theoretic condition for delay stability of reaction systems. (English) Zbl 1500.34073 SIAM J. Appl. Dyn. Syst. 21, No. 2, 1092-1118 (2022). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34K60 34K20 05C92 92C45 92C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Isaacson, Samuel A.; Ma, Jingwei; Spiliopoulos, Konstantinos Mean field limits of particle-based stochastic reaction-diffusion models. (English) Zbl 1482.35115 SIAM J. Math. Anal. 54, No. 1, 453-511 (2022). MSC: 35K57 35A35 35R09 35R60 60F05 82C22 82C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klinge, Titus H.; Lathrop, James I.; Osera, Peter-Michael; Rogers, Allison Reactamole: functional reactive molecular programming. (English) Zbl 1533.68076 Lakin, Matthew R. (ed.) et al., 27th international conference on DNA computing and molecular programming. DNA 27, Oxford, UK (virtual conference), September 13–16, 2021. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 205, Article 10, 20 p. (2021). MSC: 68Q07 68N15 × Cite Format Result Cite Review PDF Full Text: DOI
Markov, Svetoslav Marinov The Gompertz model revisited and modified using reaction networks: mathematical analysis. (English) Zbl 1505.92317 Biomath 10, No. 2, Article ID 2110023, 21 p. (2021). MSC: 92E20 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Fletcher, Willem; Klinge, Titus H.; Lathrop, James I.; Nye, Dawn A.; Rayman, Matthew Robust real-time computing with chemical reaction networks. (English) Zbl 07553902 Kostitsyna, Irina et al., Unconventional computation and natural computation. 19th international conference, UCNC 2021, Espoo, Finland, October 18–22, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12984, 35-50 (2021). MSC: 68Q07 68Q09 68Q10 68Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y. Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems. (English) Zbl 1483.92073 Math. Biosci. 342, Article ID 108720, 7 p. (2021). Reviewer: Dieter Erle (Dortmund) MSC: 92C45 92C42 92E20 37N25 34C60 92C40 34C41 34D20 93D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Severson, Eric E.; Haley, David; Doty, David Composable computation in discrete chemical reaction networks. (English) Zbl 1522.68218 Distrib. Comput. 34, No. 6, 437-461 (2021). MSC: 68Q07 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bentriou, Mahmoud; Ballarini, Paolo; Cournède, Paul-Henry Automaton-ABC: a statistical method to estimate the probability of spatio-temporal properties for parametric Markov population models. (English) Zbl 1514.68121 Theor. Comput. Sci. 893, 191-219 (2021). MSC: 68Q60 62M02 62M05 68Q10 68Q87 × Cite Format Result Cite Review PDF Full Text: DOI
Rognin, Etienne; Willis-Fox, Niamh; Zhao, Tommy Z.; Aljohani, Talal A.; Daly, Ronan Laminar flow-induced scission kinetics of polymers in dilute solutions. (English) Zbl 1501.76005 J. Fluid Mech. 924, Paper No. A24, 26 p. (2021). MSC: 76A99 76V05 82D60 × Cite Format Result Cite Review PDF Full Text: DOI
Yokomori, Takashi; Okubo, Fumiya Theory of reaction automata: a survey. (English) Zbl 1469.68058 J. Membr. Comput. 3, No. 1, 63-85 (2021). MSC: 68Q07 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Hoessly, Linard Stationary distributions via decomposition of stochastic reaction networks. (English) Zbl 1478.92265 J. Math. Biol. 82, No. 7, Paper No. 67, 25 p. (2021). MSC: 92E20 60J28 60K35 80A30 82C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanchini, Franco; Giordano, Giulia Structural analysis in biology: a control-theoretic approach. (English) Zbl 1460.92072 Automatica 126, Article ID 109376, 23 p. (2021). MSC: 92C40 92C42 34C60 93B70 93B35 × Cite Format Result Cite Review PDF Full Text: DOI
Condon, Anne; Hajiaghayi, Monir; Kirkpatrick, David; Maňuch, Ján Approximate majority analyses using tri-molecular chemical reaction networks. (English) Zbl 1530.68085 Nat. Comput. 19, No. 1, 249-270 (2020). MSC: 68Q07 92C40 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Cardelli, Luca; Tribastone, Mirco; Tschaikowski, Max From electric circuits to chemical networks. (English) Zbl 1530.68081 Nat. Comput. 19, No. 1, 237-248 (2020). MSC: 68Q07 34A09 34A45 92C40 94C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klinge, Titus H.; Lathrop, James I.; Moreno, Sonia; Potter, Hugh D.; Raman, Narun K.; Riley, Matthew R. ALCH: an imperative language for chemical reaction network-controlled tile assembly. (English) Zbl 1533.68075 Geary, Cody (ed.) et al., 26th international conference on DNA computing and molecular programming. DNA 26, September 14–17, 2020, Oxford, UK, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 174, Article 6, 22 p. (2020). MSC: 68Q07 68N15 68Q09 × Cite Format Result Cite Review PDF Full Text: DOI
Lathrop, James I.; Lutz, Jack H.; Lutz, Robyn R.; Potter, Hugh D.; Riley, Matthew R. Population-induced phase transitions and the verification of chemical reaction networks. (English) Zbl 1533.68078 Geary, Cody (ed.) et al., 26th international conference on DNA computing and molecular programming. DNA 26, September 14–17, 2020, Oxford, UK, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 174, Article 5, 17 p. (2020). MSC: 68Q07 68Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashemi, Hooman; Chugg, Ben; Condon, Anne Composable computation in leaderless, discrete chemical reaction networks. (English) Zbl 1533.68073 Geary, Cody (ed.) et al., 26th international conference on DNA computing and molecular programming. DNA 26, September 14–17, 2020, Oxford, UK, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 174, Article 3, 18 p. (2020). MSC: 68Q07 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Robert F.; Qian, Lulu Simplifying chemical reaction network implementations with two-stranded DNA building blocks. (English) Zbl 1533.68074 Geary, Cody (ed.) et al., 26th international conference on DNA computing and molecular programming. DNA 26, September 14–17, 2020, Oxford, UK, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 174, Article 2, 14 p. (2020). MSC: 68Q07 92D20 × Cite Format Result Cite Review PDF Full Text: DOI
Boros, Balázs; Müller, Stefan; Regensburger, Georg Complex-balanced equilibria of generalized mass-action systems: necessary conditions for linear stability. (English) Zbl 1478.92264 Math. Biosci. Eng. 17, No. 1, 442-459 (2020). Reviewer: Dieter Erle (Dortmund) MSC: 92E20 34C60 92E10 92C45 37C75 34D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Robert F.; Winfree, Erik Verifying polymer reaction networks using bisimulation. (English) Zbl 1460.68039 Theor. Comput. Sci. 843, 84-114 (2020). MSC: 68Q07 68Q60 92C40 92E20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Akhmedov, Odiljon S.; Azamov, Abdulla A.; Ibragimov, Gafurjan I. Four-dimensional Brusselator model with periodical solution. (English) Zbl 1453.34066 Ural Math. J. 6, No. 1, 3-15 (2020). MSC: 34C60 92C45 34C05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Klinge, Titus H.; Lathrop, James I.; Lutz, Jack H. Robust biomolecular finite automata. (English) Zbl 1432.68148 Theor. Comput. Sci. 816, 114-143 (2020). MSC: 68Q07 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cappelletti, Daniele; Ortiz-Muñoz, Andrés; Anderson, David F.; Winfree, Erik Stochastic chemical reaction networks for robustly approximating arbitrary probability distributions. (English) Zbl 1436.68111 Theor. Comput. Sci. 801, 64-95 (2020). MSC: 68Q07 60J28 68Q87 92E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brijder, Robert Computing with chemical reaction networks: a tutorial. (English) Zbl 1530.68079 Nat. Comput. 18, No. 1, 119-137 (2019). MSC: 68Q07 68Q10 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Huang, Xiang; Klinge, Titus H.; Lathrop, James I.; Li, Xiaoyuan; Lutz, Jack H. Real-time computability of real numbers by chemical reaction networks. (English) Zbl 1530.68097 Nat. Comput. 18, No. 1, 63-73 (2019). MSC: 68Q07 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chugg, Ben; Hashemi, Hooman; Condon, Anne Output-oblivious stochastic chemical reaction networks. (English) Zbl 07561449 Cao, Jiannong (ed.) et al., 22nd international conference on principles of distributed systems, OPODIS 2018, December 17–19, 2018, Hong Kong, China. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 125, Article 21, 16 p. (2019). MSC: 68Q07 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nazareno, Allen L.; Eclarin, Raymond Paul L.; Mendoza, Eduardo R.; Lao, Angelyn R. Linear conjugacy of chemical kinetic systems. (English) Zbl 1478.92266 Math. Biosci. Eng. 16, No. 6, 8322-8355 (2019). Reviewer: Dieter Erle (Dortmund) MSC: 92E20 92C45 34C60 80A32 92C42 37C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Severson, Eric E.; Haley, David; Doty, David Composable computation in discrete chemical reaction networks. (English) Zbl 1533.68084 Nowak, Thomas (ed.), Proceedings of the 38th ACM symposium on principles of distributed computing, PODC ’19, Toronto, ON, Canada, July 29 – August 2, 2019. New York, NY: Association for Computing Machinery (ACM). 14-23 (2019). MSC: 68Q07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tai, Allison; Condon, Anne Error-free stable computation with polymer-supplemented chemical reaction networks. (English) Zbl 1534.68063 Thachuk, Chris (ed.) et al., DNA computing and molecular programming. 25th international conference, DNA 25, Seattle, WA, USA, August 5–9, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11648, 197-218 (2019). MSC: 68Q07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shah, Shalin; Song, Tianqi; Song, Xin; Yang, Ming; Reif, John Implementing arbitrary CRNs using strand displacing polymerase. (English) Zbl 1534.68061 Thachuk, Chris (ed.) et al., DNA computing and molecular programming. 25th international conference, DNA 25, Seattle, WA, USA, August 5–9, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11648, 21-36 (2019). MSC: 68Q07 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Okubo, Fumiya; Yokomori, Takashi Decomposition and factorization of chemical reaction transducers. (English) Zbl 1425.68112 Theor. Comput. Sci. 777, 431-442 (2019). MSC: 68Q05 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Shin, Seung Woo; Thachuk, Chris; Winfree, Erik Verifying chemical reaction network implementations: a pathway decomposition approach. (English) Zbl 1423.68292 Theor. Comput. Sci. 765, 67-96 (2019). MSC: 68Q60 68Q05 68Q85 92C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardelli, Luca; Tribastone, Mirco; Tschaikowski, Max; Vandin, Andrea Comparing chemical reaction networks: a categorical and algorithmic perspective. (English) Zbl 1423.68165 Theor. Comput. Sci. 765, 47-66 (2019). MSC: 68Q05 68Q85 92C40 92C42 × Cite Format Result Cite Review PDF Full Text: DOI Link
Johnson, Robert; Dong, Qing; Winfree, Erik Verifying chemical reaction network implementations: a bisimulation approach. (English) Zbl 1423.68286 Theor. Comput. Sci. 765, 3-46 (2019). MSC: 68Q60 68Q25 68Q85 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Katsanikas, Matthaios; Wiggins, Stephen Phase space analysis of the nonexistence of dynamical matching in a stretched caldera potential energy surface. (English) Zbl 1412.34159 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 4, Article ID 1950057, 9 p. (2019). MSC: 34C60 34C05 34C45 37J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ke, Min; Fang, Zhou; Gao, Chuanhou Complex balancing reconstructed to the asymptotic stability of mass-action chemical reaction networks with conservation laws. (English) Zbl 1407.34067 SIAM J. Appl. Math. 79, No. 1, 55-74 (2019). MSC: 34C60 34D20 80A30 93D20 92C45 92B20 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doty, David; Zhu, Shaopeng Computational complexity of atomic chemical reaction networks. (English) Zbl 1528.68117 Nat. Comput. 17, No. 4, 677-691 (2018). MSC: 68Q07 68Q17 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Case, Adam; Lutz, Jack H.; Stull, D. M. Reachability problems for continuous chemical reaction networks. (English) Zbl 1528.68113 Nat. Comput. 17, No. 2, 223-230 (2018). MSC: 68Q07 68Q17 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardelli, Luca; Kwiatkowska, Marta; Laurenti, Luca Programming discrete distributions with chemical reaction networks. (English) Zbl 1528.68111 Nat. Comput. 17, No. 1, 131-145 (2018). MSC: 68Q07 68Q87 × Cite Format Result Cite Review PDF Full Text: DOI
Cardelli, Luca; Kwiatkowska, Marta; Whitby, Max Chemical reaction network designs for asynchronous logic circuits. (English) Zbl 1528.68112 Nat. Comput. 17, No. 1, 109-130 (2018). MSC: 68Q07 68Q06 94C11 × Cite Format Result Cite Review PDF Full Text: DOI
Brijder, Robert; Doty, David; Soloveichik, David Democratic, existential, and consensus-based output conventions in stable computation by chemical reaction networks. (English) Zbl 1528.68110 Nat. Comput. 17, No. 1, 97-108 (2018). MSC: 68Q07 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ellis, Samuel J.; Klinge, Titus H.; Lathrop, James I. Robust combinatorial circuits in chemical reaction networks. (English) Zbl 1505.68013 Martín-Vide, Carlos (ed.) et al., Theory and practice of natural computing. 6th international conference, TPNC 2017, Prague, Czech Republic, December 18–20, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10687, 178-189 (2017). MSC: 68Q06 68Q07 68Q09 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Li-Guo; Kuang, Ju-Hong Stability and a numerical solution of fractional-order Brusselator chemical reaction system. (English) Zbl 1488.34069 J. Fract. Calc. Appl. 8, No. 1, 38-47 (2017). MSC: 34A08 26A33 34C60 92C45 34C05 34D20 34L05 × Cite Format Result Cite Review PDF Full Text: Link
Condon, Anne; Hajiaghayi, Monir; Kirkpatrick, David; Maňuch, Ján Simplifying analyses of chemical reaction networks for approximate majority. (English) Zbl 1495.68071 Brijder, Robert (ed.) et al., DNA computing and molecular programming. 23rd international conference, DNA 23, Austin, TX, USA, September 24–28, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10467, 188-209 (2017). MSC: 68Q07 68Q10 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Okubo, Fumiya; Yokomori, Takashi Morphic characterizations of language families based on local and star languages. (English) Zbl 1435.68181 Fundam. Inform. 154, No. 1-4, 323-341 (2017). MSC: 68Q45 68Q07 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xiang; Klinge, Titus H.; Lathrop, James I.; Li, Xiaoyuan; Lutz, Jack H. Real-time computability of real numbers by chemical reaction networks. (English) Zbl 1486.68064 Patitz, Matthew J. (ed.) et al., Unconventional computation and natural computation. 16th international conference, UCNC 2017, Fayetteville, AR, USA, June 5–9, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10240, 29-40 (2017). MSC: 68Q07 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Lingxing; Calderer, M. Carme; Mori, Yoichiro; Siegel, Ronald A. Rhythmomimetic drug delivery: modeling, analysis, and numerical simulation. (English) Zbl 1376.34050 SIAM J. Appl. Math. 77, No. 2, 565-592 (2017). Reviewer: Vasile Dragan (Bucureşti) MSC: 34C60 92C45 34C45 34C05 34C23 34C55 34E13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Siddique, Nazmul H.; Adeli, Hojjat Nature-inspired computing: physics and chemistry-based algorithms. (English) Zbl 1373.68012 Boca Raton, FL: CRC Press (ISBN 978-1-4822-4482-3/hbk; 978-1-4822-4483-0/ebook). xxv, 596 p. (2017). Reviewer: Smaranda Belciug (Craiova) MSC: 68-02 68Q05 68T20 68Wxx 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
Bisi, Marzia; Spiga, G. Hydrodynamic limits of kinetic equations for polyatomic and reactive gases. (English) Zbl 1360.82077 Commun. Appl. Ind. Math. 8, No. 1, 23-42 (2017). MSC: 82C40 76P05 80A17 × Cite Format Result Cite Review PDF Full Text: DOI
de Freitas, Michael Marcondes; Feliu, Elisenda; Wiuf, Carsten Intermediates, catalysts, persistence, and boundary steady states. (English) Zbl 1362.34083 J. Math. Biol. 74, No. 4, 887-932 (2017). MSC: 34C60 80A30 92C42 92C40 34D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cucuringu, Mihai; Erban, Radek ADM-CLE approach for detecting slow variables in continuous time Markov chains and dynamic data. (English) Zbl 1382.65029 SIAM J. Sci. Comput. 39, No. 1, B76-B101 (2017). MSC: 65C40 65C20 60J28 62M05 80A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beica, Andreea; Danos, Vincent Synchronous balanced analysis. (English) Zbl 1428.92034 Cinquemani, Eugenio (ed.) et al., Hybrid systems biology. 5th international workshop, HSB 2016, Grenoble, France, October 20–21, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9957, 85-94 (2016). MSC: 92C42 92C45 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI Link Link
Cummings, Rachel; Doty, David; Soloveichik, David Probability 1 computation with chemical reaction networks. (English) Zbl 1415.68077 Nat. Comput. 15, No. 2, 245-261 (2016). MSC: 68Q05 68Q10 68Q87 92E20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Brijder, Robert Minimal output unstable configurations in chemical reaction networks and deciders. (English) Zbl 1415.68071 Nat. Comput. 15, No. 2, 235-244 (2016). MSC: 68Q05 68Q10 68Q85 92E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Okubo, Fumiya; Yokomori, Takashi The computational capability of chemical reaction automata. (English) Zbl 1415.68096 Nat. Comput. 15, No. 2, 215-224 (2016). MSC: 68Q05 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Scalise, Dominic; Schulman, Rebecca Emulating cellular automata in chemical reaction-diffusion networks. (English) Zbl 1416.92198 Nat. Comput. 15, No. 2, 197-214 (2016). MSC: 92E20 68Q05 68Q10 68Q80 × Cite Format Result Cite Review PDF Full Text: DOI
Cardelli, Luca; Tribastone, Mirco; Tschaikowski, Max; Vandin, Andrea Comparing chemical reaction networks: a categorical and algorithmic perspective. (English) Zbl 1392.68188 Proceedings of the 2016 31st annual ACM/IEEE symposium on logic in computer science, LICS 2016, New York City, NY, USA, July 5–8, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4391-6). 485-494 (2016). MSC: 68Q05 68Q85 92C40 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Wiggins, Stephen The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics. (English) Zbl 1369.34068 Regul. Chaotic Dyn. 21, No. 6, 621-638 (2016). MSC: 34C45 34C60 37J40 70H05 70H33 92E20 80A30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cappelletti, Daniele; Wiuf, Carsten Elimination of intermediate species in multiscale stochastic reaction networks. (English) Zbl 1353.60071 Ann. Appl. Probab. 26, No. 5, 2915-2958 (2016). MSC: 60J27 60J28 60K35 60F17 92C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawamata, Ibuki; Yoshizawa, Satoru; Takabatake, Fumi; Sugawara, Ken; Murata, Satoshi Discrete DNA reaction-diffusion model for implementing simple cellular automaton. (English) Zbl 1476.68091 Amos, Martyn (ed.) et al., Unconventional computation and natural computation. 15th international conference, UCNC 2016, Manchester, UK, July 11–15, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9726, 168-181 (2016). MSC: 68Q07 68Q80 92D20 × Cite Format Result Cite Review PDF Full Text: DOI
Doty, David; Hajiaghayi, Monir Leaderless deterministic chemical reaction networks. (English) Zbl 1415.68080 Nat. Comput. 14, No. 2, 213-223 (2015). MSC: 68Q05 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cardelli, Luca; Tribastone, Mirco; Tschaikowski, Max; Vandin, Andrea Forward and backward bisimulations for chemical reaction networks. (English) Zbl 1374.68204 Aceto, Luca (ed.) et al., 26th international conference on concurrency theory, CONCUR’15, Madrid, Spain, September 1–4, 2015. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-91-0). LIPIcs – Leibniz International Proceedings in Informatics 42, 226-239 (2015). MSC: 68Q05 68Q10 68Q85 92C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hangos, K. M.; Magyar, A.; Szederkényi, G. Entropy-inspired Lyapunov functions and linear first integrals for positive polynomial systems. (English) Zbl 1329.34091 Math. Model. Nat. Phenom. 10, No. 3, 105-123 (2015). MSC: 34C60 05C50 34D05 34D23 80A30 34D20 92C42 92E20 34C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Daoutidis, Prodromos DAEs in model reduction of chemical processes: an overview. (English) Zbl 1333.34001 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations II. Cham: Springer (ISBN 978-3-319-11049-3/pbk; 978-3-319-11050-9/ebook). Differential-Algebraic Equations Forum, 69-102 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 34-02 34H05 34A09 34C20 34E13 34E15 93A15 93C70 93C83 92E20 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Schneider, Jacques A well-posed simulation model for multicomponent reacting gases. (English) Zbl 1326.35226 Commun. Math. Sci. 13, No. 5, 1075-1103 (2015). MSC: 35Q20 35Q35 76N10 76V05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI
Dalchau, Neil; Murphy, Niall; Petersen, Rasmus; Yordanov, Boyan Synthesizing and tuning chemical reaction networks with specified behaviours. (English) Zbl 1403.92356 Phillips, Andrew (ed.) et al., DNA computing and molecular programming. 21st international conference, DNA 21, Boston and Cambridge, MA, USA, August 17–21, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-21998-1/pbk; 978-3-319-21999-8/ebook). Lecture Notes in Computer Science 9211, 16-33 (2015). MSC: 92E20 68N17 68T15 90B10 60J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kazeev, Vladimir; Schwab, Christoph Tensor approximation of stationary distributions of chemical reaction networks. (English) Zbl 1322.60155 SIAM J. Matrix Anal. Appl. 36, No. 3, 1221-1247 (2015). MSC: 60J28 15A69 60J27 92C42 × Cite Format Result Cite Review PDF Full Text: DOI Link
Joshi, Badal A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced. (English) Zbl 1348.37085 Discrete Contin. Dyn. Syst., Ser. B 20, No. 4, 1077-1105 (2015). MSC: 37H10 60J27 60J20 65C40 92E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Ho-Lin; Doty, David; Soloveichik, David Rate-independent computation in continuous chemical reaction networks. (English) Zbl 1364.68194 Proceedings of the 5th conference on innovations in theoretical computer science, ITCS’14, Princeton, NJ, USA, January 11–14, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2243-0). 313-325 (2014). MSC: 68Q05 68Q10 92E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Condon, Anne; Kirkpatrick, Bonnie; Maňuch, Ján Reachability bounds for chemical reaction networks and strand displacement systems. (English) Zbl 1334.68066 Nat. Comput. 13, No. 4, 499-516 (2014). MSC: 68Q05 68Q10 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Jahnke, Tobias; Sunkara, Vikram Error bound for hybrid models of two-scaled stochastic reaction systems. (English) Zbl 1322.60131 Dahlke, Stephan (ed.) et al., Extraction of quantifiable information from complex systems. Cham: Springer (ISBN 978-3-319-08158-8/hbk; 978-3-319-08159-5/ebook). Lecture Notes in Computational Science and Engineering 102, 303-319 (2014). MSC: 60H30 60H15 60J75 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Okubo, Fumiya; Yokomori, Takashi The computational capability of chemical reaction automata. (English) Zbl 1423.68175 Murata, Satoshi (ed.) et al., DNA computing and molecular programming. 20th international conference, DNA 20, Kyoto, Japan, September 22–26, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8727, 53-66 (2014). MSC: 68Q05 68Q10 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Ankit; Khammash, Mustafa Sensitivity analysis for stochastic chemical reaction networks with multiple time-scales. (English) Zbl 1327.60137 Electron. J. Probab. 19, Paper No. 59, 53 p. (2014). MSC: 60J22 60J10 60J27 60H35 65C40 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne A geometric approach to the global attractor conjecture. (English) Zbl 1301.34063 SIAM J. Appl. Dyn. Syst. 13, No. 2, 758-797 (2014). MSC: 34C60 34A60 80A30 92C45 37B25 92E20 92C42 34D45 34D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Ying; Zhao, Yanan; Jiang, Daqing The dynamics of the stochastic multi-molecule biochemical reaction model. (English) Zbl 1314.92077 J. Math. Chem. 52, No. 5, 1477-1495 (2014). MSC: 92C45 92C40 34C60 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Biák, Martin; Hanus, Tomáš; Janovská, Drahoslava Some applications of Filippov’s dynamical systems. (English) Zbl 1295.34054 J. Comput. Appl. Math. 254, 132-143 (2013). MSC: 34C60 34C23 34A36 65P30 92D25 92D40 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Ankit; Khammash, Mustafa Unbiased estimation of parameter sensitivities for stochastic chemical reaction networks. (English) Zbl 1402.62190 SIAM J. Sci. Comput. 35, No. 6, A2598-A2620 (2013). MSC: 62M05 60H35 92C42 65C05 80A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wiuf, Carsten; Feliu, Elisenda Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. (English) Zbl 1278.92012 SIAM J. Appl. Dyn. Syst. 12, No. 4, 1685-1721 (2013). MSC: 92C42 80A30 37N25 34C60 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Evans, Jonathan D.; Fernández, Andrea; Muntean, Adrian Single and two-scale sharp-interface models for concrete carbonation – asymptotics and numerical approximation. (English) Zbl 1255.35138 Multiscale Model. Simul. 10, No. 3, 874-905 (2012). MSC: 35K57 35Q92 92E20 80A30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Glimm, Tilmann; Zhang, Jianying; Shen, Yun-Qiu; Newman, Stuart A. Reaction-diffusion systems and external morphogen gradients: the two-dimensional case, with an application to skeletal pattern formation. (English) Zbl 1235.92008 Bull. Math. Biol. 74, No. 3, 666-687 (2012). MSC: 92C15 35K57 35B32 35Q92 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Boulier, François; Lefranc, Marc; Lemaire, François; Morant, Pierre-Emmanuel Model reduction of chemical reaction systems using elimination. (English) Zbl 1270.92025 Math. Comput. Sci. 5, No. 3, 289-301 (2011). MSC: 92C45 34C60 37N25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Popov, A. M.; Shumkin, G. N. A multiscale molecular switch model. (English. Russian original) Zbl 1257.81079 Mosc. Univ. Comput. Math. Cybern. 34, No. 3, 106-112 (2010); translation from Vestn. Mosk. Univ., Ser. XV 2010, No. 3, 11-17 (2010). MSC: 81V55 68U20 80A10 81-04 78A57 × Cite Format Result Cite Review PDF Full Text: DOI
Hangos, Katalin M. Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics. (English) Zbl 1229.80021 Entropy 12, No. 4, 772-797 (2010). MSC: 80A30 93A30 93D05 93C95 80A32 92C20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yongfeng; Qian, Hong; Yi, Yingfei Nonlinear oscillations and multiscale dynamics in a closed chemical reaction system. (English) Zbl 1364.34072 J. Dyn. Differ. Equations 22, No. 3, 491-507 (2010). MSC: 34C60 34C15 34E20 34D05 34D45 34C11 92E20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ohkubo, Jun Solving partial differential equation via stochastic process. (English) Zbl 1286.35008 Calude, Cristian S. (ed.) et al., Unconventional computation. 9th international conference, UC 2010, Tokyo, Japan, June 21–25, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-13522-4/pbk). Lecture Notes in Computer Science 6079, 105-114 (2010). MSC: 35A25 60G07 68Q05 92E20 × Cite Format Result Cite Review PDF Full Text: DOI