Xu, Shixin; Song, Zilong; Eisenberg, Robert; Huang, Huaxiong Interaction of ionic solution with permeable membranes: a variational approach. (English) Zbl 07965553 J. Math. Study 57, No. 1, 24-52 (2024). MSC: 35Q30 35Q35 76Z99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaoling; Liu, Xiyu; Ren, Qianqian; Sun, Minghe; Zhao, Yuzhen A general neural membrane computing model. (English) Zbl 1543.92006 Inf. Sci. 672, Article ID 120686, 18 p. (2024). MSC: 92B20 92C20 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Soham; Ghosh, Sumana; Banerjee, Ansuman; Mohalik, Swarup K. SMT-based modeling and verification of spiking neural networks: a case study. (English) Zbl 1529.68151 Dragoi, Cezara (ed.) et al., Verification, model checking, and abstract interpretation. 24th international conference, VMCAI 2023, Boston, MA, USA, January 16–17, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13881, 25-43 (2023). MSC: 68Q60 68Q07 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, J. Y.; Yao, Wenjuan Revealing the contribution of basilar membrane’s biological activity to the mechanism of the cochlear phonosensitive amplification. (English) Zbl 1519.92021 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 5, 823-840 (2023). MSC: 92C10 92C30 × Cite Format Result Cite Review PDF Full Text: DOI
Behera, Subrat Kumar; Ranjan, Rashi Aditi; Kumar, Deepak; Sarangi, Somnath; Bhattacharyya, Ranjan Dynamic modelling and analysis of a biological circular membrane. (English) Zbl 1549.74442 Int. J. Eng. Sci. 188, Article ID 103864, 19 p. (2023). MSC: 74L15 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Adamatzky, Andrew; Ayres, Phil; Beasley, Alexander E.; Roberts, Nic; Wösten, Han A. B. Logics in fungal mycelium networks. (English) Zbl 1507.68115 Log. Univers. 16, No. 4, 655-669 (2022). MSC: 68Q07 68Q06 92B25 94C11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balint, Agneta M.; Balint, Stefan; Neculae, Adrian On the objectivity of mathematical description of ion transport processes using general temporal Caputo and Riemann-Liouville fractional partial derivatives. (English) Zbl 1506.78004 Chaos Solitons Fractals 156, Article ID 111802, 7 p. (2022). MSC: 78A35 92B20 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Contoyiannis, Yiannis F.; Kosmidis, Efstratios K.; Diakonos, Fotios K.; Kampitakis, Myron; Potirakis, Stelios M. A hybrid artificial neural network for the generation of critical fluctuations and inter-spike intervals. (English) Zbl 1505.37096 Chaos Solitons Fractals 159, Article ID 112115, 8 p. (2022). MSC: 37M05 92C20 92B20 68Q07 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, K. S.; Dalal, D. C. Effects of cell permeability on distribution and penetration of drug into biological tissues: a multiscale approach. (English) Zbl 1503.92034 Appl. Math. Modelling 108, 355-375 (2022). MSC: 92C37 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xiaohan; Zou, Xiaolong; Ji, Zilong; Huang, Tiejun; Wu, Si; Mi, Yuanyuan A brain-inspired computational model for spatio-temporal information processing. (English) Zbl 1521.68058 Neural Netw. 143, 74-87 (2021). MSC: 68Q07 68T05 68T10 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Hernández-Balaguera, Enrique Numerical approximations on the transient analysis of bioelectric phenomena at long time scales via the Mittag-Leffler function. (English) Zbl 1498.92023 Chaos Solitons Fractals 145, Article ID 110768, 8 p. (2021). MSC: 92C05 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Meacci, Luca; Ausas, Roberto Federico; Mut, Fernando; Buscaglia, Gustavo Carlos Multi-component red blood cell computational modeling: a new mathematical formulation. (English) Zbl 1482.76156 Adv. Math. Sci. Appl. 30, No. 2, 521-554 (2021). MSC: 76Z05 74L15 74F10 92C10 92C17 × Cite Format Result Cite Review PDF Full Text: Link
Aluf-Medina, Michelle; Korten, Till; Raviv, Avraham; Nicolau, Dan V. jun.; Kugler, Hillel Formal semantics and verification of network-based biocomputation circuits. (English) Zbl 1472.68057 Henglein, Fritz (ed.) et al., Verification, model checking, and abstract interpretation. 22nd international conference, VMCAI 2021, Copenhagen, Denmark, January 17–19, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12597, 464-485 (2021). MSC: 68Q07 68Q06 68Q55 68Q60 × Cite Format Result Cite Review PDF Full Text: DOI
De Maria, Elisabetta; Di Giusto, Cinzia; Laversa, Laetitia Spiking neural networks modelled as timed automata: with parameter learning. (English) Zbl 1530.68086 Nat. Comput. 19, No. 1, 135-155 (2020). MSC: 68Q07 03B44 68Q45 68Q60 68T05 92B20 92C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hitron, Yael; Musco, Cameron; Parter, Merav Spiking neural networks through the lens of streaming algorithms. (English) Zbl 1543.68450 Attiya, Hagit (ed.), 34th international symposium on distributed computing, DISC 2020, virtual conference, October 12–16, 2020. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 179, Article 10, 18 p. (2020). MSC: 68W15 68Q07 68W27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelastopoulos, Alexandros; Kopell, Nancy J. Interactions of multiple rhythms in a biophysical network of neurons. (English) Zbl 1469.92018 J. Math. Neurosci. 10, Paper No. 19, 43 p. (2020). Reviewer: Kevin Burrage (Brisbane) MSC: 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Meacci, Luca; Buscaglia, Gustavo C.; Mut, Fernando; Ausas, Roberto F.; Primicerio, Mario A new two-component approach in modeling red blood cells. (English) Zbl 1457.92054 Commun. Appl. Ind. Math. 11, No. 1, 55-71 (2020). MSC: 92C37 92C32 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Gilbert, Seth; Maguire, James; Newport, Calvin On bioelectric algorithms. (English) Zbl 1515.68373 Suomela, Jukka (ed.), 33rd international symposium on distributed computing, DISC 2019, Budapest, Hungary, October 14–18, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 146, Article 19, 17 p. (2019). MSC: 68W15 68Q07 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Hitron, Yael; Parter, Merav Counting to ten with two fingers: compressed counting with spiking neurons. (English) Zbl 1548.68079 Bender, Michael A. (ed.) et al., 27th annual European symposium on algorithms, ESA 2019, Munich/Garching, Germany, September 9–11, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 144, Article 57, 17 p. (2019). MSC: 68Q07 68Q06 68Q10 92B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Jiwei; Shi, Xiaolong Research on high-sensitive precise logic gates based on DNA strand replacement. (Chinese. English summary) Zbl 1456.68050 J. Guangzhou Univ., Nat. Sci. 18, No. 6, 35-44 (2019). MSC: 68Q07 68Q06 92C40 94C11 × Cite Format Result Cite Review PDF
Nazari, Soheila; Faez, Karim Novel systematic mathematical computation based on the spiking frequency gate (SFG): innovative organization of spiking computer. (English) Zbl 1441.68045 Inf. Sci. 474, 221-235 (2019). MSC: 68Q06 68Q07 68T10 92B20 92C20 × Cite Format Result Cite Review PDF Full Text: DOI
Fraigniaud, Pierre; Natale, Emanuele Noisy rumor spreading and plurality consensus. (English) Zbl 1452.68023 Distrib. Comput. 32, No. 4, 257-276 (2019). MSC: 68M14 68P30 68Q07 68W15 × Cite Format Result Cite Review PDF Full Text: DOI
Dalchau, Neil; Szép, Gregory; Hernansaiz-Ballesteros, Rosa; Barnes, Chris P.; Cardelli, Luca; Phillips, Andrew; Csikász-Nagy, Attila Computing with biological switches and clocks. (English) Zbl 1528.68116 Nat. Comput. 17, No. 4, 761-779 (2018). MSC: 68Q07 68Q10 92B25 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshino, Osamu; Zheng, Meihong; Watanabe, Kazuo Improved perceptual learning by control of extracellular GABA concentration by astrocytic gap junctions. (English) Zbl 1472.92021 Neural Comput. 30, No. 1, 184-215 (2018). MSC: 92B20 91E40 × Cite Format Result Cite Review PDF Full Text: DOI
Konkoli, Zoran; Nichele, Stefano; Dale, Matthew; Stepney, Susan Reservoir computing with computational matter. (English) Zbl 1436.68115 Stepney, Susan (ed.) et al., Computational matter. Cham: Springer. Nat. Comput. Ser., 269-293 (2018). MSC: 68Q07 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Nodargi, Nicola A.; Kiendl, Josef; Bisegna, Paolo; Caselli, Federica; De Lorenzis, Laura An isogeometric analysis formulation for red blood cell electro-deformation modeling. (English) Zbl 1440.74432 Comput. Methods Appl. Mech. Eng. 338, 392-411 (2018). MSC: 74S05 74L15 92C37 65D07 65N30 74K15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lengeler, Daniel Asymptotic stability of local Helfrich minimizers. (English) Zbl 1410.35251 Interfaces Free Bound. 20, No. 4, 533-550 (2018). MSC: 35Q92 35B35 35Q74 35K25 76D27 76Z05 92C10 74K15 74L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Köhne, Matthias; Lengeler, Daniel Local well-posedness for relaxational fluid vesicle dynamics. (English) Zbl 1405.35226 J. Evol. Equ. 18, No. 4, 1787-1818 (2018). MSC: 35Q92 35A01 35A02 35Q74 35K25 76D27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guillén-González, F.; Tierra, G. Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. (English) Zbl 1380.76037 J. Comput. Phys. 354, 67-85 (2018). MSC: 76M10 76M20 76Z99 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Lynch, Nancy; Musco, Cameron; Parter, Merav Neuro-RAM unit with applications to similarity testing and compression in spiking neural networks. (English) Zbl 1515.68137 Richa, Andréa W. (ed.), 31st international symposium on distributed computing, DISC 2017, Vienna, Austria, October 16–20, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 91, Article 33, 16 p. (2017). MSC: 68Q07 68W15 68W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kosztołowicz, Tadeusz; Lewandowska, K. D.; Klinkosz, T. How to identify absorption in a subdiffusive medium. (English) Zbl 1390.82054 Math. Model. Nat. Phenom. 12, No. 6, 118-129 (2017). MSC: 82C70 60G22 39A50 × Cite Format Result Cite Review PDF Full Text: DOI
Poole, William; Ortiz-Muñoz, Andrés; Behera, Abhishek; Jones, Nick S.; Ouldridge, Thomas E.; Winfree, Erik; Gopalkrishnan, Manoj Chemical Boltzmann machines. (English) Zbl 1495.68074 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, 210-231 (2017). MSC: 68Q07 68Q10 92B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Virinchi, Muppirala Viswa; Behera, Abhishek; Gopalkrishnan, Manoj A stochastic molecular scheme for an artificial cell to infer its environment from partial observations. (English) Zbl 1495.68075 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, 82-97 (2017). MSC: 68Q07 62B10 68T05 92B20 92E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakir, Mehmet Emin; Gheorghe, Marian; Konur, Savas; Stannett, Mike Comparative analysis of statistical model checking tools. (English) Zbl 1483.68184 Leporati, Alberto (ed.) et al., Membrane computing. 17th international conference, CMC 2016, Milan, Italy, July 25–29, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10105, 119-135 (2017). MSC: 68Q60 68Q07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Koutsou, Achilleas; Kanev, Jacob; Economidou, Maria; Christodoulou, Chris Integrator or coincidence detector – what shapes the relation of stimulus synchrony and the operational mode of a neuron? (English) Zbl 1362.92013 Math. Biosci. Eng. 13, No. 3, 521-535 (2016). MSC: 92C20 92B25 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Gou, J.; Ward, M. J. Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics. (English) Zbl 1347.35032 SIAM J. Appl. Math. 76, No. 2, 776-804 (2016). MSC: 35B32 35B20 35B35 92B25 35K51 35K58 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-el-Malek, M. B.; Amin, A. M. Lie group analysis for solving the problem of diffusion of drugs across a biological membrane. (English) Zbl 1395.92055 J. Gen. Lie Theory Appl. 9, No. 2, Article ID 1000236, 4 p. (2015). MSC: 92C40 22D05 37K30 92C30 × Cite Format Result Cite Review PDF Full Text: Euclid
Gou, J.; Li, Y. X.; Nagata, W.; Ward, M. J. Synchronized oscillatory dynamics for a 1-D model of membrane kinetics coupled by linear bulk diffusion. (English) Zbl 1331.35038 SIAM J. Appl. Dyn. Syst. 14, No. 4, 2096-2137 (2015). MSC: 35B32 35B20 35B35 92B25 × Cite Format Result Cite Review PDF Full Text: DOI
Torres, Pedro J. Periodic oscillations of a model for membrane permeability with fluctuating environmental conditions. (English) Zbl 1321.34070 J. Math. Biol. 71, No. 1, 57-68 (2015). MSC: 34C60 34C25 92C37 92B25 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Kolahdouz, Ebrahim M.; Salac, David A numerical model for the trans-membrane voltage of vesicles. (English) Zbl 1320.78015 Appl. Math. Lett. 39, 7-12 (2015). MSC: 78A70 76W05 78M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Qian; Liu, Liping; Sharma, Pradeep Flexoelectricity in soft materials and biological membranes. (English) Zbl 1323.74029 J. Mech. Phys. Solids 62, 209-227 (2014). MSC: 74F15 74K15 82D80 92C99 × Cite Format Result Cite Review PDF Full Text: DOI
Păun, Andrei; Sosík, Petr Three universal homogeneous spiking neural P systems using max spike. (English) Zbl 1315.68131 Fundam. Inform. 134, No. 1-2, 167-182 (2014). MSC: 68Q05 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Doruk, Resat Ozgur Control of repetitive firing in Hodgkin-Huxley nerve fibers using electric fields. (English) Zbl 1323.92042 Chaos Solitons Fractals 52, 66-72 (2013). MSC: 92C20 93B52 93B51 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Matsuo, Takami; Totoki, Yusuke; Suemitsu, Haruo Adaptive estimation of biological rhythm in crassulacean acid metabolism with critical manifold. (English) Zbl 1298.92019 ISRN Appl. Math. 2013, Article ID 856404, 9 p. (2013). MSC: 92B25 34C60 37N25 93A30 93B07 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Weijiu Store-operated calcium entry could prevent continuous spiking of membrane potential to sustain normal intracellular calcium oscillations and normal potential bursting in pancreatic \({\beta}\)-cells. (English) Zbl 1281.92017 Math. Biosci. 243, No. 2, 240-250 (2013). MSC: 92C30 92-08 92C37 92B25 92C05 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Tomohiro; Fukai, Tomoki; Kitano, Katsunori Influences of membrane properties on phase response curve and synchronization stability in a model globus pallidus neuron. (English) Zbl 1446.92045 J. Comput. Neurosci. 32, No. 3, 539-553 (2012). MSC: 92B20 92C20 92B25 × Cite Format Result Cite Review PDF
Gargaud, Muriel; Martin, Hervé; López-García, Purificación; Montmerle, Thierry; Pascal, Robert Young sun, early earth and the origins of life. Lessons for astrobiology. Translated from the French by Storm Dunlop. (English) Zbl 1279.85001 Berlin: Springer (ISBN 978-3-642-22551-2/hbk; 978-3-642-22552-9/ebook). xii, 299 p. (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 85-01 76Z05 37N25 92-00 92C15 92C37 92C40 92D25 92D15 × Cite Format Result Cite Review PDF Full Text: DOI
Ryazanova, G. E.; Ryazantsev, N. V. Experimental determination of continuous vibrations in electroconductivity of natural waters. (Russian) Zbl 1274.76376 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 20, No. 2, 104-111 (2012). MSC: 76W05 × Cite Format Result Cite Review PDF
Akbari, Soheil; Hemingson, Howard B.; Beriault, David; Simonson, Carey J.; Besant, Robert W. Application of neural networks to predict the steady state performance of a run-around membrane energy exchanger. (English) Zbl 1262.80001 Int. J. Heat Mass Transfer 55, No. 5-6, 1628-1641 (2012). MSC: 80A20 92B20 80M99 × Cite Format Result Cite Review PDF Full Text: DOI
Rozenberg, Grzegorz (ed.); Bäck, Thomas H. W. (ed.); Kok, Joost N. (ed.) Handbook of natural computing. 4 Volumes. (English) Zbl 1248.68001 Berlin: Springer (ISBN 978-3-540-92909-3/hbk; 978-3-540-92911-6/ebook). li, 2051 p. (2012). MSC: 68-00 68-06 68Q10 68T05 68T20 92B20 92C42 × Cite Format Result Cite Review PDF Full Text: DOI
Herrera-Valdez, Marco Arieli; Lega, Joceline Reduced models for the pacemaker dynamics of cardiac cells. (English) Zbl 1331.92034 J. Theor. Biol. 270, 164-176 (2011). MSC: 92C30 92B25 × Cite Format Result Cite Review PDF Full Text: DOI
Nafeh, Abd El-Shafy A. Hydrogen production from a PV/PEM electrolyzer system using a neural-network-based MPPT algorithm. (English) Zbl 1220.78084 Int. J. Numer. Model. 24, No. 3, 282-297 (2011). MSC: 78A57 78M32 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Steiner, N. Yousfi; Candusso, D.; Hissel, D.; Moçoteguy, P. Model-based diagnosis for proton exchange membrane fuel cells. (English) Zbl 1206.78063 Math. Comput. Simul. 81, No. 2, 158-170 (2010). MSC: 78A57 80A32 92B20 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Castellini, Alberto; Franco, Giuditta; Manca, Vincenzo Hybrid functional Petri nets as MP systems. (English) Zbl 1209.68334 Nat. Comput. 9, No. 1, 61-81 (2010). MSC: 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
Leijnen, Stefan; Gabora, Liane How creative should creators be to optimize the evolution of ideas? A computational model. (English) Zbl 1456.91082 Cooper, S. Barry (ed.) et al., Fifth workshop on developments in computational models – computational models from nature, Rhodes, Greece, July 11, 2009. Proceedings. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 9, 108-119 (2009). MSC: 91D10 68Q07 92B20 × Cite Format Result Cite Review PDF Full Text: Link
Gao, Ling-Tian; Feng, Xi-Qiao; Gao, Huajian A phase field method for simulating morphological evolution of vesicles in electric fields. (English) Zbl 1165.78320 J. Comput. Phys. 228, No. 11, 4162-4181 (2009). MSC: 78A70 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Davalos, Rafael V.; Rubinsky, Boris Temperature considerations during irreversible electroporation. (English) Zbl 1151.80303 Int. J. Heat Mass Transfer 51, No. 23-24, 5617-5622 (2008). MSC: 80A20 78A70 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Luoyi; Wells, Paul B.; Humphrey, Jay D.; Rajagopal, K. R. A model for the kinetics of thermal damage of biological membranes. (English) Zbl 1195.74116 Note Mat. 27, No. 2, 229-247 (2007). MSC: 74L15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Höpfner, Reinhard On a set of data for the membrane potential in a neuron. (English) Zbl 1255.60132 Math. Biosci. 207, No. 2, 275-301 (2007). MSC: 60J60 62M05 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Poghosyan, Armen H.; Gharabekyan, Hrant H.; Shahinyan, Aram A. Molecular dynamics simulations of DMPC/DPPC mixed bilayers. (English) Zbl 1110.82317 Int. J. Mod. Phys. C 18, No. 1, 73-89 (2007). MSC: 82D60 × Cite Format Result Cite Review PDF Full Text: DOI
Kojic, Milos; Vlastelica, Ivo; Stojanovic, Boban; Rankovic, Vladimir; Tsuda, Akira Stress integration procedures for a biaxial isotropic material model of biological membranes and for hysteretic models of muscle fibres and surfactant. (English) Zbl 1176.74124 Int. J. Numer. Methods Eng. 68, No. 8, 893-909 (2006). MSC: 74L15 74S05 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lindsay, Kenneth A.; Rosenberg, Jay R.; Tucker, Gayle The representation of three-dimensional dendritic structure by a one-dimensional model – the conventional cable equation as the first member of a hierarchy of equations. (English) Zbl 1093.92024 Reeke, G. N. (ed.) et al., Modeling in the neurosciences. From biological systems to neuromimetic robotics. Boca Raton, FL: Taylor & Francis (ISBN 0-415-32868-3/hbk). 279-312 (2005). MSC: 92C20 92C05 78A70 × Cite Format Result Cite Review PDF
Bernardini, Francesco; Gheorghe, Marian; Manca, Vincenzo On P systems and almost periodicity. (English) Zbl 1102.68026 Fundam. Inform. 64, No. 1-4, 29-42 (2005). MSC: 68Q05 68Q10 × Cite Format Result Cite Review PDF Full Text: Link
Hinch, R. Stability of cardiac waves. (English) Zbl 1334.92136 Bull. Math. Biol. 66, No. 6, 1887-1908 (2004). MSC: 92C40 92B25 × Cite Format Result Cite Review PDF Full Text: DOI
Cassia-Moura, R.; Xie, Fagen; Cerdeira, Hilda A. Effect of heterogeneity on spiral wave dynamics in simulated cardiac tissue. (English) Zbl 1065.92026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 9, 3363-3375 (2004). MSC: 92C50 92C05 35Q92 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guan Jun; Beaumont, Jacques Parameter estimation of the Hodgkin–Huxley gating model: An inversion procedure. (English) Zbl 1051.92020 SIAM J. Appl. Math. 64, No. 4, 1249-1267 (2004). MSC: 92C30 92C05 41A27 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Baronas, R.; Ivanauskas, F.; Kulys, J. The effect of diffusion limitations on the response of amperometric biosensors with substrate cyclic conversion. (English) Zbl 1079.35097 J. Math. Chem. 35, No. 3, 199-213 (2004). MSC: 35Q80 35K57 92C45 65M06 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Mitchell, Colleen C.; Schaeffer, David G. A two-current model for the dynamics of cardiac membrane. (English) Zbl 1334.92097 Bull. Math. Biol. 65, No. 5, 767-793 (2003). MSC: 92C30 92B25 × Cite Format Result Cite Review PDF Full Text: DOI
Pozrikidis, C. (ed.) [Barthès-Biesel, D.; Borhan, A.; Gupta, N. R.; Liu, H.; Secomb, T. W.; Shyy, W.; N’Dri, N.; Tran-Son-Tay, R.] Modeling and simulation of capsules and biological cells. (English) Zbl 1026.92002 Chapman & Hall/CRC Mathematical Biology and Medicine Series. Boca Raton, FL: Chapman and Hall/CRC. x, 333 p. (2003). Reviewer: H.R.Hirsch (Lexington) MSC: 92C10 92C35 65C20 92-06 00B15 92-01 76Z05 74L15 × Cite Format Result Cite Review PDF
Bucolo, M.; Fortuna, L.; La Rosa, M. Network self-organization through “small-worlds” topologies. (English) Zbl 1031.92002 Chaos Solitons Fractals 14, No. 7, 1059-1064 (2002). MSC: 92B20 92C20 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshino, Osamu Beating in membrane potential mediated by cortical \({\gamma}\)-oscillations for reading out synchronous neuronal activities over distant cortical areas. (English) Zbl 1008.68770 Neural Process. Lett. 16, No. 2, 165-175 (2002). MSC: 68U99 68T05 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Revelli, Jorge A.; Sánchez, Alejandro D.; Wio, Horacio S. Effect of non-Gaussian noises on the stochastic resonance-like phenomenon in gated traps. (English) Zbl 1002.92007 Physica D 168-169, 165-170 (2002). MSC: 92C30 92C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosso, Riccardo; Sonnet, André M.; Virga, Epifanio G. Dynamics of kinks in biological membranes. (English) Zbl 1012.74046 Contin. Mech. Thermodyn. 14, No. 1, 127-136 (2002). MSC: 74L15 74K15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lai, Ming-Chih; Li, Zhilin A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. (English) Zbl 1013.76021 Appl. Math. Lett. 14, No. 2, 149-154 (2001). MSC: 76D05 74F10 74K15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Benedek, George B.; Villars, Felix M. H. Physics with illustrative examples from medicine and biology. Vol. 3: Electricity and magnetism. Foreword by Irving M. London. 2nd ed. (English) Zbl 0963.92003 New York, NY: Springer. xxvii, 670 p. DM 139.00; sFr 112.14; £48.00; $ 69.95 (2000). Reviewer: H.R.Hirsch (Lexington) MSC: 92C05 92-01 78A70 × Cite Format Result Cite Review PDF
Breyiannis, G.; Pozrikidis, C. Simple shear flow of suspensions of elastic capsules. (English) Zbl 0963.76091 Theor. Comput. Fluid Dyn. 13, No. 5, 327-347 (2000). Reviewer: Valeriu Al.Sava (Iaşi) MSC: 76T20 76Z99 × Cite Format Result Cite Review PDF Full Text: DOI
Lánský, Petr; Rodriguez, Roger The spatial properties of a model neuron increase its coding range. (English) Zbl 0928.92004 Biol. Cybern. 81, No. 2, 161-167 (1999). MSC: 92C20 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Deco, Gustavo; Schürmann, Bernd Stochastic resonance in the mutual information between input and output spike trains of noisy central neurons. (English) Zbl 0937.92004 Physica D 117, No. 1-4, 276-282 (1998). MSC: 92C20 60J70 92B20 94A15 94A99 × Cite Format Result Cite Review PDF Full Text: DOI
Cox, Steven J. A new method for extracting cable parameters from input impedance data. (English) Zbl 0928.92002 Math. Biosci. 153, No. 1, 1-12 (1998). MSC: 92C20 78A70 92C05 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, X. Y.; Pedley, T. J. The effects of wall inertia on flow in a two-dimensional collapsible channel. (English) Zbl 0924.76023 J. Fluid Mech. 363, 253-280 (1998). MSC: 76D05 74F10 76Z99 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Flyvbjerg, Henrik (ed.); Hertz, John (ed.); Jensen, Mogens H. (ed.); Mouritsen, Ole G. (ed.); Sneppen, Kim (ed.) Physics of biological systems. From molecules to species. (English) Zbl 0862.92001 Lecture Notes in Physics. 480. Berlin: Springer. x, 366 p. (1997). Reviewer: H.R.Hirsch (Lexington) MSC: 92C05 92C40 92-06 00B15 92D15 × Cite Format Result Cite Review PDF Full Text: DOI
Biktashev, V. N.; Holden, A. V.; Zhang, H. A model for the action of external current onto excitable tissue. (English) Zbl 0891.92008 Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 2, 477-485 (1997). MSC: 92C30 92C50 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Teso, A.; Drigo Filho, E.; Agostinho Neto, A. Solution of the Poisson-Boltzmann equation for a system with four ionic species. (English) Zbl 0876.92006 J. Math. Biol. 35, No. 7, 814-824 (1997). MSC: 92C05 35Q92 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, V. G. A purely electrodynamic interpretation of Hodgkin-Huxley current clamped system. (English) Zbl 0874.92005 Math. Comput. Modelling 25, No. 1, 77-92 (1997). MSC: 92C05 78A70 92C30 34C23 34D99 × Cite Format Result Cite Review PDF Full Text: DOI
Kennedy, Rodney A.; Chung, Shin-Ho Modelling and identification of coupled Markov chain model with application. (English) Zbl 0868.92007 Int. J. Adapt. Control Signal Process. 10, No. 6, 623-634 (1996). MSC: 92C30 93E12 93A30 60J20 × Cite Format Result Cite Review PDF
Bressloff, Paul C. Integro-differential equations and the stability of neural networks with dendritic structure. (English) Zbl 0827.92005 Biol. Cybern. 73, No. 3, 281-290 (1995). MSC: 92C20 92B20 92C15 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
McNabb, A.; Bass, L.; Suzuki, M. Ussing flux ratio theorems for albumin enhanced fatty acid fluxes across a lipid water interface. (English) Zbl 0828.76079 Appl. Math. Lett. 8, No. 3, 63-68 (1995). MSC: 76R50 76Z99 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Lipowsky, R. (ed.); Sackmann, E. (ed.) Handbook of biological physics. Vol. 1: Structure and dynamics of membranes. In 2 vol. (English) Zbl 0984.92503 Amsterdam: Elsevier. 1036 p. (1995). MSC: 92C05 92-00 92C30 × Cite Format Result Cite Review PDF
Kashchenko, S. A.; Maiorov, V. V.; Myachin, M. L. Oscillations in systems of equations with delay and difference diffusion that model local neuron nets. (English. Russian original) Zbl 0874.92002 Dokl. Math. 52, No. 2, 289-292 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 344, No. 3, 319-322 (1995). MSC: 92B20 92C20 × Cite Format Result Cite Review PDF
Chen, Jong-Chen; Conrad, Michael A multilevel neuromolecular architecture that uses the extradimensional bypass principle to facilitate evolutionary learning. (English) Zbl 0860.92007 Physica D 75, No. 1-3, 417-437 (1994). MSC: 92C20 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Ellis, W. J. Inhomogeneous correlation functions for a model neuron with two planar membranes. (English) Zbl 0821.92007 Math. Comput. Modelling 20, No. 7, 25-46 (1994). MSC: 92C20 78A70 92C05 × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, Valko G. Qualitative mathematical model of cardiac fiber electrodynamics. (English) Zbl 0803.92007 Math. Models Methods Appl. Sci. 4, No. 3, 455-465 (1994). MSC: 92C30 92C05 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Hooke, N.; Henriquez, C. S.; Lanzkron, P.; Rose, D. Linear algebraic transformations of the bidomain equations: Implications for numerical methods. (English) Zbl 0799.92001 Math. Biosci. 120, No. 2, 127-145 (1994). MSC: 92C30 92-08 65Z05 92C05 78A70 65F99 × Cite Format Result Cite Review PDF Full Text: DOI
Vaccaro, S. R. A model of Na-K exchange during nerve excitation. (English) Zbl 0795.92007 Math. Comput. Modelling 18, No. 5, 49-61 (1993). MSC: 92C20 78A70 × Cite Format Result Cite Review PDF Full Text: DOI
Lighthill, James Acoustic streaming in the ear itself. (English) Zbl 0787.76102 Cheer, Angela Y. (ed.) et al., Fluid dynamics in biology. Proceedings of an AMS-IMS-SIAM joint summer research conference held July 6-12, 1991 at the University of Washington, Seattle, USA, with support from the National Science Foundation and NASA Headquarters. Providence, RI: American Mathematical Society. Contemp. Math. 141, 187-236 (1993). MSC: 76Z99 92C10 76Q05 × Cite Format Result Cite Review PDF
MacGregor, Ronald J. Theoretical mechanics of biological neural networks. (English) Zbl 0780.92003 Neural Networks: Foundations to Applications. Boston: Academic Press, Inc.. xii, 377 p. (1993). Reviewer: H.R.Hirsch (Lexington) MSC: 92B20 92-02 92C20 × Cite Format Result Cite Review PDF
Bressloff, Paul C. Temporal processing in neural networks with adaptive short term memory: A compartmental model approach. (English) Zbl 0772.92001 Network 4, No. 2, 155-175 (1993). MSC: 92B20 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Auton, Timothy Robert Concentration-Flux relations for a multicellular biological membrane with metabolism. (English) Zbl 0766.92009 Math. Biosci. 115, No. 1, 103-117 (1993). MSC: 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Bressloff, Paul C.; Taylor, John G. Low firing-rates in a compartmental model neuron. (English) Zbl 0771.92006 J. Phys. A, Math. Gen. 26, No. 4, L165-L170 (1993). MSC: 92C20 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jun; Fan, Changxin Modelling of nonlinear cochlear mechanics. (English) Zbl 0756.76100 Acustica 77, No. 2, 100-105 (1992). Reviewer: G.Eason (Glasgow) MSC: 76Z99 76Q05 92C10 × Cite Format Result Cite Review PDF