Correspondence between time-evolution dynamics of a tumor and an attractively interacting Bose-Einstein Condensate with feeding and dissipation

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dc.creatorBiswas, P. K.
dc.creatorPacheco, M. T. T.
dc.date2003-06-23
dc.date.accessioned2026-07-07T02:51:58Z
dc.date.available2026-07-07T02:51:58Z
dc.descriptionThe morphology and time-evolution of tumors are expected to depend heavily on the detailed balance of the overall physics of the cell assembly (e.g., the kinetic pressure, the cell-cell interaction, and the external trapping by the tissue) and the biological processes of mitosis, necrosis, etc. Here, for the first time, we include such a detailed balance in a theoretical model by exploiting the {\it ab initio} mathematical framework of atomic Bose-Einstein Condensation (BEC) with feeding and dissipation, to study tumor evolution dynamics. We show that, with a characteristic length scaling, the Gross-Pitaevskii (GP) equation, which describes the many-body atomic BEC characteristics, indeed explains the detailed features of a prevascular tumor culture data. The agreement suggests the prevascular that the prevascular carcinoma may be a natural analog to BEC and predicts an intercellular wave connecting the cells.
dc.description9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0306539
dc.identifierhttp://arxiv.org/abs/cond-mat/0306539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21668
dc.subjectSoft Condensed Matter
dc.subjectBiological Physics
dc.subjectQuantitative Biology
dc.titleCorrespondence between time-evolution dynamics of a tumor and an attractively interacting Bose-Einstein Condensate with feeding and dissipation
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