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   <ow:Publication rdf:about="oai:digibug.ugr.es:10481/109427">
      <dc:title>A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation</dc:title>
      <dc:creator>López Fernández, José Luis</dc:creator>
      <dc:description>The parabolic-parabolic Keller-Segel model of chemotaxis is shown to come up as the hydrodynamic system describing the evolution of the modulus square n(t,x) and the argument S(t,x) of a wavefunction ψ = √n exp(iS) that solves a cubic Schrödinger equation with focusing interaction, frictional Kostin nonlinearity and Doebner-Goldin dissipation mechanism. This connection is then exploited to construct a family of quasi-stationary solutions to the Keller-Segel system under the influence of no-flux and anti-Fick laws</dc:description>
      <dc:date>2026-01-09T13:30:20Z</dc:date>
      <dc:date>2026-01-09T13:30:20Z</dc:date>
      <dc:date>2020-11-12</dc:date>
      <dc:type>journal article</dc:type>
      <dc:identifier>Discrete and Continuous Dynamical Systems - Ser. A 41(6) (2021), pp. 2601-2617</dc:identifier>
      <dc:identifier>https://hdl.handle.net/10481/109427</dc:identifier>
      <dc:identifier>10.3934/dcds.2020376</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:rights>http://creativecommons.org/licenses/by-nc-nd/4.0/</dc:rights>
      <dc:rights>open access</dc:rights>
      <dc:rights>Attribution-NonCommercial-NoDerivatives 4.0 Internacional</dc:rights>
      <dc:publisher>American Institute of Mathematical Sciences (AIMS)</dc:publisher>
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