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@ARTICLE{Kondrat:281761,
      author       = {Kondrat, Svyatoslav and Zimmermann, Olav and Wiechert,
                      Wolfgang and von Lieres, Eric},
      title        = {{D}iscrete-continuous reaction-diffusion model with mobile
                      point-like sources and sinks},
      journal      = {The European physical journal / E},
      volume       = {39},
      number       = {1},
      issn         = {1292-8941},
      address      = {Berlin},
      publisher    = {Springer},
      reportid     = {FZJ-2016-01443},
      pages        = {11},
      year         = {2016},
      abstract     = {In many applications in soft and biological physics, there
                      are multiple time and length scales involved but often with
                      a distinct separation between them. For instance, in enzyme
                      kinetics, enzymes are relatively large, move slowly and
                      their copy numbers are typically small, while the
                      metabolites (being transformed by these enzymes) are often
                      present in abundance, are small in size and diffuse fast. It
                      seems thus natural to apply different techniques to
                      different time and length levels and couple them. Here we
                      explore this possibility by constructing a
                      stochastic-deterministic discrete-continuous
                      reaction-diffusion model with mobile sources and sinks. Such
                      an approach allows in particular to separate different
                      sources of stochasticity. We demonstrate its application by
                      modelling enzyme-catalysed reactions with freely diffusing
                      enzymes and a heterogeneous source of metabolites. Our
                      calculations suggest that using a higher amount of less
                      active enzymes, as compared to fewer more active enzymes,
                      reduces the metabolite pool size and correspondingly the lag
                      time, giving rise to a faster response to external stimuli.
                      The methodology presented can be extended to more complex
                      systems and offers exciting possibilities for studying
                      problems where spatial heterogeneities, stochasticity or
                      discreteness play a role.},
      cin          = {IBG-1 / JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IBG-1-20101118 / I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / 583 - Innovative Synergisms (POF3-583)},
      pid          = {G:(DE-HGF)POF3-511 / G:(DE-HGF)POF3-583},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000369330800004},
      doi          = {10.1140/epje/i2016-16011-0},
      url          = {https://juser.fz-juelich.de/record/281761},
}