@Article{KimmelArino1983,
  author    = {Kimmel, Marek and Arino, Ovide},
  title     = {Complex proliferative systems. {F}ormal description and qualitative analysis},
  journal   = {Systems Sci.},
  year      = {1983},
  volume    = {9},
  number    = {1-2},
  pages     = {135--161 (1985)},
  issn      = {0137-1223},
  abstract  = {A model of the red blood system is proposed in which
                  it is assumed that the system is independent of
                  other blood cell lines and two feedbacks
                  (erythropoietic and inner stem cell) are
                  described. \par The model is a system of two
                  functional differential equations. The model
                  parameters are determined, and a qualitative
                  analysis of the model is carried out. The model is
                  compared with an earlier model of {\it
                  M. Wazewska-Czyzewska} and {\it A. Lasota}
                  [Rocz. Pol. Tow. mat., Ser. III, Mat. stosow. 6,
                  23-40 (Polish) (1976; Zbl. 363.92012)] and further
                  directions of research are indicated.},
  classmath = {*92Cxx Physiological, cellular and medical topics 34K15 Qualitative theory of solutions of functional-differential equations 93C15 Control systems governed by ODE 34K20 Stability theory of functional-differential equations },
  coden     = {SYSCDP},
  fjournal  = {Wroc\l aw University of Technology. Systems Science},
  keywords  = {complex proliferative systems; model of the red blood system; feedbacks; erythropoietic; inner stem cell; system of two functional differential equations},
  mrclass   = {92A15 (34K99)},
  mrnumber  = {86i:92039},
  reviewer  = {J.Cronin },
}

{"_id":"CyZFso3dmoiSAvsd7","bibbaseid":"kimmel-arino-complexproliferativesystemsformaldescriptionandqualitativeanalysis-1983","authorIDs":[],"author_short":["Kimmel, M.","Arino, O."],"bibdata":{"bibtype":"article","type":"article","author":[{"propositions":[],"lastnames":["Kimmel"],"firstnames":["Marek"],"suffixes":[]},{"propositions":[],"lastnames":["Arino"],"firstnames":["Ovide"],"suffixes":[]}],"title":"Complex proliferative systems. Formal description and qualitative analysis","journal":"Systems Sci.","year":"1983","volume":"9","number":"1-2","pages":"135–161 (1985)","issn":"0137-1223","abstract":"A model of the red blood system is proposed in which it is assumed that the system is independent of other blood cell lines and two feedbacks (erythropoietic and inner stem cell) are described. \\par The model is a system of two functional differential equations. The model parameters are determined, and a qualitative analysis of the model is carried out. The model is compared with an earlier model of \\it M. Wazewska-Czyzewska and \\it A. Lasota [Rocz. Pol. Tow. mat., Ser. III, Mat. stosow. 6, 23-40 (Polish) (1976; Zbl. 363.92012)] and further directions of research are indicated.","classmath":"*92Cxx Physiological, cellular and medical topics 34K15 Qualitative theory of solutions of functional-differential equations 93C15 Control systems governed by ODE 34K20 Stability theory of functional-differential equations ","coden":"SYSCDP","fjournal":"Wrocław University of Technology. Systems Science","keywords":"complex proliferative systems; model of the red blood system; feedbacks; erythropoietic; inner stem cell; system of two functional differential equations","mrclass":"92A15 (34K99)","mrnumber":"86i:92039","reviewer":"J.Cronin ","bibtex":"@Article{KimmelArino1983,\r\n author = {Kimmel, Marek and Arino, Ovide},\r\n title = {Complex proliferative systems. {F}ormal description and qualitative analysis},\r\n journal = {Systems Sci.},\r\n year = {1983},\r\n volume = {9},\r\n number = {1-2},\r\n pages = {135--161 (1985)},\r\n issn = {0137-1223},\r\n abstract = {A model of the red blood system is proposed in which\r\n it is assumed that the system is independent of\r\n other blood cell lines and two feedbacks\r\n (erythropoietic and inner stem cell) are\r\n described. \\par The model is a system of two\r\n functional differential equations. The model\r\n parameters are determined, and a qualitative\r\n analysis of the model is carried out. The model is\r\n compared with an earlier model of {\\it\r\n M. Wazewska-Czyzewska} and {\\it A. Lasota}\r\n [Rocz. Pol. Tow. mat., Ser. III, Mat. stosow. 6,\r\n 23-40 (Polish) (1976; Zbl. 363.92012)] and further\r\n directions of research are indicated.},\r\n classmath = {*92Cxx Physiological, cellular and medical topics 34K15 Qualitative theory of solutions of functional-differential equations 93C15 Control systems governed by ODE 34K20 Stability theory of functional-differential equations },\r\n coden = {SYSCDP},\r\n fjournal = {Wroc\\l aw University of Technology. Systems Science},\r\n keywords = {complex proliferative systems; model of the red blood system; feedbacks; erythropoietic; inner stem cell; system of two functional differential equations},\r\n mrclass = {92A15 (34K99)},\r\n mrnumber = {86i:92039},\r\n reviewer = {J.Cronin },\r\n}\r\n\r\n","author_short":["Kimmel, M.","Arino, O."],"key":"KimmelArino1983","id":"KimmelArino1983","bibbaseid":"kimmel-arino-complexproliferativesystemsformaldescriptionandqualitativeanalysis-1983","role":"author","urls":{},"keyword":["complex proliferative systems; model of the red blood system; feedbacks; erythropoietic; inner stem cell; system of two functional differential equations"],"downloads":0},"bibtype":"article","biburl":"https://server.math.umanitoba.ca/~jarino/ovide/papers/BiblioOvide.bib","creationDate":"2019-12-20T14:16:41.233Z","downloads":0,"keywords":["complex proliferative systems; model of the red blood system; feedbacks; erythropoietic; inner stem cell; system of two functional differential equations"],"search_terms":["complex","proliferative","systems","formal","description","qualitative","analysis","kimmel","arino"],"title":"Complex proliferative systems. Formal description and qualitative analysis","year":1983,"dataSources":["DJzjnMX7p3giiS766"]}