Free Access
Issue
Math. Model. Nat. Phenom.
Volume 11, Number 5, 2016
Bifurcations and Pattern Formation in Biological Applications
Page(s) 119 - 136
DOI https://doi.org/10.1051/mmnp/201611508
Published online 07 December 2016
  1. N. V. Agudov, A. A. Dubkov, B. Spagnolo, Escape from a metastable state with fluctuating barrier. Physica A, 325 (2003), 144–151. [MathSciNet] [Google Scholar]
  2. M. Asslani, F. Di Patti, D. Fanelli. Stochastic Turing patterns on a network. Phys. Rev. E, 86 (2012), 046105. [Google Scholar]
  3. G. Augello, D. Valenti, B. Spagnolo. Non-Gaussian noise effects in the dynamics of a short overdamped Josephson junction. Eur. Phys. J. B, 78 (2010), 225–234. [Google Scholar]
  4. J. Baranyi, T.A. Roberts. A dynamic approach to predicting bacterial growth in food. Int. J. Food Microbiol., 23 (1994), 277–294. [CrossRef] [PubMed] [Google Scholar]
  5. J. Baranyi, T. P. Robinson, A. Kaloti, B. M. Mackey. Predicting growth of Brochothrix thermosphacta at changing temperature. Int. J. Food Microbiol., 27 (1995), 61–75. [CrossRef] [PubMed] [Google Scholar]
  6. R. Benzi, A. Sutera, A. Vulpiani. The mechanism of stochastic resonance. J. Phys. A: Math Gen., 14 (1981), L453–L457. [Google Scholar]
  7. R. Benzi, G. Parisi, A. Sutera, A. Vulpiani. Stochastic resonance in climatic change. Tellus, 34 (1982), 10–16. [CrossRef] [Google Scholar]
  8. T. Biancalani, D. Fanelli, F. Di Patti. Stochastic Turing patterns in the Brusselator model. Phys. Rev. E, 81 (2010), 046215. [Google Scholar]
  9. G. Bonanno, D. Valenti, B. Spagnolo. Role of Noise in a Market Model with Stochastic Volatility. Eur. Phys. J. B, 53 (2006), 405–409. [Google Scholar]
  10. G. Bonanno, D. Valenti, B. Spagnolo. Mean Escape Time in a System with Stochastic Volatility. Phys. Rev. E, 75 (2007), 016106. [Google Scholar]
  11. H.A. Bremner. A convenient easy to use system for estimating the quality of chilled seafood. In: Proceedings of the Fish Processing Conference, Nelson, New Zealand, 23–25 April 1985 (edited by D. N. Scott & C. Summers). Fish Processing Bulletin, 7 (1985), 59–703. [Google Scholar]
  12. J. H. Brown, T. G. Whitham, S. K. M. Ernest, C. A. Gehring. Complex species interactions and the dynamics of ecological systems: long-term experiments. Science, 293 (2001), 643–650. [CrossRef] [PubMed] [Google Scholar]
  13. J. D. Challenger, D. Fanelli, A. J. McKane. Intrinsic noise and discrete-time processes. Phys. Rev. E, 88 (2013), 040102(R). [Google Scholar]
  14. O. Chichigina, D. Valenti, B. Spagnolo. A Simple Noise Model with Memory for Biological Systems. Fluct. Noise Lett., 5 (2005), L243–L250. [CrossRef] [Google Scholar]
  15. O. A. Chichigina. Noise with memory as a model of lemming cycles. Eur. Phys. J. B, 65 (2008), 347–352. [Google Scholar]
  16. O. A. Chichigina, A. A. Dubkov, D. Valenti, B. Spagnolo. Stability in a system subject to noise with regulated periodicity. Phys. Rev. E, 84 (2011), 021134(1-10). [Google Scholar]
  17. S. Ciuchi, F. de Pasquale, B. Spagnolo. Nonlinear Relaxation in the presence of an Absorbing Barrier. Phys. Rev. E, 47 (1993), 3915–3926. [Google Scholar]
  18. P. Dalgaard, P. Buch, S. Silberg. Seafood Spoilage Predictor–development and distribution of a product specific application software. Int. J. Food Microbiol., 73 (2002), 343–349. [CrossRef] [PubMed] [Google Scholar]
  19. T. Dauxois, F. Di Patti, D. Fanelli, A. J. McKane. Enhanced stochastic oscillations in autocatalytic reactions. Phys. Rev. E, 79 (2009), 036112. [Google Scholar]
  20. P. de Anna, F. Di Patti, D. Fanelli, A. J. McKane, T. Dauxois. Spatial model of autocatalytic reactions. Phys. Rev. E, 81 (2010), 056110. [Google Scholar]
  21. G. Denaro, D. Valenti, A. La Cognata, B. Spagnolo, A. Bonanno, G. Basilone, S. Mazzola, S. W. Zgozi, S. Aronica, C. Brunet. Spatio-temporal behaviour of the deep chlorophyll maximum in Mediterranean Sea: Development of a stochastic model for picophytoplankton dynamics. Ecol. Complex., 13 (2013), 21–34. [CrossRef] [Google Scholar]
  22. G. Denaro, D. Valenti, B. Spagnolo, G. Basilone, S. Mazzola, S. W. Zgozi, S. Aronica, A. Bonanno. Dynamics of two picophytoplankton groups in Mediterranean Sea: Analysis of the deep chlorophyll maximum by a stochastic advection-reaction-diffusion model. PLoS ONE, 8 (2013), e66765. [CrossRef] [PubMed] [Google Scholar]
  23. E. J. Dens, K. M. Vereecken, J. F. Van Impe. A prototype model structure for mixed microbial populations in homogeneous food products. J. Theor. Biol., 201 (1999), 159–170. [PubMed] [Google Scholar]
  24. A. Dubkov, B. Spagnolo. Langevin Approach to Lévy flights in fixed potentials: Exact results for stationary probability distributions. Acta Phys. Pol. B, 38 (2007), 1745–1758. [MathSciNet] [Google Scholar]
  25. A. Fiasconaro, D. Valenti, B. Spagnolo. Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials Physica A, 325 (2003), 136–143. [Google Scholar]
  26. A. Fiasconaro, D. Valenti, B. Spagnolo. Nonmonotonic behavior of spatiotemporal pattern formation in a noisy Lotka-Volterra system. Acta Phys. Pol. B, 35 (2004), 1491–1500. [Google Scholar]
  27. A. Fiasconaro, A. Ochab–Marcinek, B. Spagnolo, E. Gudowska–Nowak. Monitoring noise–resonant effects in cancer growth influenced by external fluctuations and periodic treatment. Eur. Phys. J. B, 65 (2008), 435–442. [Google Scholar]
  28. A. Fiasconaro, B. Spagnolo. Resonant activation in piece-wise linear asymmetric potentials. Phys. Rev. E, 83 (2011), 041122. [Google Scholar]
  29. J. A. Freund, T. Pöschel (Eds.). Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics 557, Springer, Berlin, 2000. [Google Scholar]
  30. L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni. Stochastic resonance. Rev. Mod. Phys., 70 (1998), 223–287. [Google Scholar]
  31. A. Giuffrida, G. Ziino, D. D’Ambrosi, V. Mandalà, A. Panebianco. Study on the transcutaneous bacterial migration in some fish species. In: Proceeding of XV National Congress of Italian Association of Veterinary Hygienists, (2005) 279–282. Tirrenia, Italy: A.I.V.I. [Google Scholar]
  32. A. Giuffrida, G. Ziino, D. Valenti, G. Donato, A. Panebianco. Application of an interspecific competition model to predict the growth of Aeromonas hydrophila on fish surfaces during refrigerated storage. Archiv für Lebensmittelhygiene, 56 (2007), 136–141. [Google Scholar]
  33. A. Giuffrida, D. Valenti, G. Ziino, A. Panebianco, Study on the application of an interspecific competition model for the prediction of the microflora behaviour during the fermentation process of S. Angelo PGI salami. Vet. Res. Commun., 33 (2009), S229–S232. [Google Scholar]
  34. A. Giuffrida, D. Valenti, G. Ziino, B. Spagnolo, A. Panebianco. A stochastic interspecific competition model to predict the behaviour of Listeria monocytogenes in the fermentation process of a traditional Sicilian salami. Eur. Food Res. Technol., 228 (2009), 767–775. [Google Scholar]
  35. A. Giuffrida, D. Valenti, F. Giarratana, G. Ziino, A. Panebianco. A new approach to modeling the shelf life of Gilthead seabream (Sparus aurata) Int. J. Food Sci. Tech., 48 (2013), 1235–1242. [CrossRef] [Google Scholar]
  36. C. Guarcello, D. Valenti, B. Spagnolo. Phase dynamics in graphene-based Josephson junctions in the presence of thermal and correlated fluctuations. Phys. Rev. B, 92 (2015), 174519. [Google Scholar]
  37. P. Hänggi, P. Talkner, M. Borkovec. Reaction rate theory: fifty years after Kramers. Rev. Mod. Phys., 62 (1990), 251–342. [Google Scholar]
  38. A. Huidobro, A. Pastor, M. Tejada. Quality Index Method developed for raw Gilthead Seabream (Sparus aurata). J. Food Sci., 65 (2000), 1202–1205. [Google Scholar]
  39. H. H. Huss. Quality and Quality Changes in Fresh Fish. FAO Fisheries Technical Paper, 348 (1995), 130–131. Rome, Italy: FAO. [Google Scholar]
  40. P. Jung, P. Hänggi. Amplification of small signals via stochastic resonance. Phys. Rev. A, 44 (1991), 8032–8042. [CrossRef] [PubMed] [Google Scholar]
  41. K. Koutsoumanis, G. J. E. Nychas. Application of a systematic experimental procedure to develop a microbial model for rapid fish shelf life predictions. Int. J. Food Microbiol., 60 (2000), 171–184. [CrossRef] [PubMed] [Google Scholar]
  42. A. La Barbera, B. Spagnolo. Spatio-Temporal Patterns in Population Dynamics. Physica A, 314 (2002), 120–124. [Google Scholar]
  43. A. La Cognata, D. Valenti, A. A. Dubkov, B. Spagnolo. Dynamics of two competing species in the presence of Lévy noise sources. Phys. Rev. E, 82 (2010), 011121. [Google Scholar]
  44. A. La Cognata, D. Valenti, B. Spagnolo, A. A. Dubkov. Two competing species in super-diffusive dynamical regimes. Eur. Phys. J. B, 77 (2010), 273–279. [Google Scholar]
  45. V. P. Lougovois, E. R. Kyranas, V. R. Kyrana. Comparison of selected methods of assessing freshness quality and remaining storage life of iced Gilthead sea bream (Sparus aurata). Food Res. Int., 36 (2003), 551–560. [Google Scholar]
  46. R. N. Mantegna, B. Spagnolo. Stochastic Resonance in a Tunnel Diode. Phys. Rev. E, 49 (1994), R1792–R1795. [Google Scholar]
  47. R. N. Mantegna, B. Spagnolo. Probability distribution of the Residence Times in Periodically Fluctuating Metastable Systems. Int. J. Bif. Chaos, 8 (1998), 783–790. [CrossRef] [Google Scholar]
  48. R. N. Mantegna, B. Spagnolo, L. Testa, M. Trapanese. Stochastic Resonance in Magnetic Systems described by Preisach Hysteresis Model. J. Appl. Phys., 97 (2005), 10E519. [Google Scholar]
  49. K. Neumeyer, T. Ross, T.A. Mcmeekin. Development of a predictive model to describe the effects of temperature and water activity on the growth of spoilage pseudomonads. Int. J. Food Microbiol., 38 (1997), 45–54. [CrossRef] [PubMed] [Google Scholar]
  50. E. L. Pankratov, B. Spagnolo. Optimization of impurity profile for p-n junction in heterostructures. Eur. Phys. J. B, 46 (2005), 15–19. [Google Scholar]
  51. C. Parra–Rojas, J. D. Challenger, D. Fanelli, A. J. McKane. Intrinsic noise and two-dimensional maps: Quasicycles, quasiperiodicity, and chaos. Phys. Rev. E, 90 (2014), 032135. [Google Scholar]
  52. D. Persano Adorno, N. Pizzolato, D. Valenti, B. Spagnolo. External Noise Effects in doped semiconductors operating under sub-THz signals. Rep. Math. Phys., 70 (2012), 171–179. [CrossRef] [Google Scholar]
  53. D. A. Ratkowsky, R. K. Lowry, T. A. Mcmeekin, A. N. Stokes, R. E. Chandler. Model for bacterial cultures growth rate throughout the entire biokinetic temperature range. J. Bacteriology, 154 (1983), 1222–1226. [Google Scholar]
  54. T. Ross, P. Dalgaard. Secondary models. In: Modeling Microbial Responses in Foods (Eds. R. C. McKeller, X. Lu), pp. 63–150, CRC Press, Boca Raton, USA, 2003. [Google Scholar]
  55. D. F. Russel, L. A. Wilkens, F. Moss. Use of behavioural stochastic resonance by paddle fish for feeding. Nature, 402 (2000), 291–294. [Google Scholar]
  56. B. Spagnolo, A. Fiasconaro, D. Valenti. Noise Induced Phenomena in Lotka-Volterra Systems. Fluct. Noise Lett., 3 (2003), L177–L185. [CrossRef] [Google Scholar]
  57. B. Spagnolo, D. Valenti. Volatility effects on the escape time in financial market models. Int. J. Bifurcation and Chaos, 18 (2008), 2775–2786. [CrossRef] [Google Scholar]
  58. B. Spagnolo, S. Spezia, L. Curcio, N. Pizzolato, A. Fiasconaro, D. Valenti, P. Lo Bue, E. Peri, S. Colazza. Noise effects in two different biological systems. Eur. Phys. J. B, 69 (2009), 133–146. [Google Scholar]
  59. D. Valenti, A. Fiasconaro, B. Spagnolo. Stochastic resonance and noise delayed extinction in a model of two competing species. Physica A, 331 (2004), 477–486. [Google Scholar]
  60. D. Valenti, A. Fiasconaro, B. Spagnolo. Pattern formation and spatial correlation induced by the noise in two competing species. Acta Phys. Pol. B, 35 (2004), 1481–1489. [Google Scholar]
  61. D. Valenti, L. Schimansky-Geier, X. Sailer, B. Spagnolo. Moment Equations for a Spatially Extended System of Two Competitive Species. Eur. Phys. J. B, 50 (2006), 199–203. [Google Scholar]
  62. D. Valenti, B. Spagnolo, G. Bonanno. Hitting Time Distributions in Financial Markets. Physica A, 382 (2007), 311–320. [Google Scholar]
  63. D. Valenti, G. Augello, B. Spagnolo. Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise. Eur. Phys. J. B, 65 (2008), 443–451. [Google Scholar]
  64. D. Valenti, G. Denaro, D. Persano Adorno, N. Pizzolato, S. Zammito, B. Spagnolo. Monte Carlo analysis of polymer translocation with deterministic and noisy electric fields. Cent. Eur. J. Phys., 10 (2012), 560–567. [Google Scholar]
  65. D. Valenti, G. Denaro, A. La Cognata, B. Spagnolo, A. Bonanno, G. Basilone, S. Mazzola, S. Zgozi, S. Aronica. Picophytoplankton dynamics in noisy marine environment. Acta Phys. Pol. B, 43 (2012), 1227–1240. [CrossRef] [Google Scholar]
  66. D. Valenti, C. Guarcello, B. Spagnolo. Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources. Phys. Rev. B, 89 (2014), 214510. [Google Scholar]
  67. D. Valenti, L. Magazzù, P. Caldara, B. Spagnolo. Stabilization of quantum metastable states by dissipation. Phys. Rev. B, 91 (2015), 235412. [Google Scholar]
  68. D. Valenti, G. Denaro, B. Spagnolo, F. Conversano, C. Brunet. How diffusivity, thermocline and incident light intensity modulate the dynamics of deep chlorophyll maximum in Tyrrhenian Sea. PLoS ONE, 10 (2015), e0115468. [CrossRef] [PubMed] [Google Scholar]
  69. R. C. Whiting, R. L. Buchanan. A classification of models for predictive microbiology. Food Microbiol., 10 (1993), 175–177. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.