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Stochastic models for tumoral growth

, : Stochastic models for tumoral growth. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 73(2 Pt 1): 020902-020902

Strong experimental evidence has indicated that tumor growth belongs to the molecular beam epitaxy universality class. This type of growth is characterized by the constraint of cell proliferation to the tumor border and the surface diffusion of cells at the growing edge. Tumor growth is thus conceived as a competition for space between the tumor and the host, and cell diffusion at the tumor border is an optimal strategy adopted for minimizing the pressure and helping tumor development. Two stochastic partial differential equations are reported in this paper in order to correctly model the physical properties of tumoral growth in (1 + 1) and (2 + 1) dimensions. The advantage of these models is that they reproduce the correct geometry of the tumor and are defined in terms of polar variables. An analysis of these models allows us to quantitatively estimate the response of the tumor to an unfavorable perturbation during growth.


PMID: 16605321

DOI: 10.1103/PhysRevE.73.020902

Other references

Lugas'kov, Av, 1979: Ecological features of Coregonus nasus (Pallas) of the River Shchekur'ya.. TRUDY INSTITUTA EKOLOGII RASTENII I ZHIVOTNYKH URAL'SKOGO FILIALA AKADEMII NAUK SSSR: 74-85 (121)

Robichaud, P.; Hungerford, R.; Gasvoda, D., 1999: Apparatus and method for the measurement of forest duff moisture content. An apparatus and method for the moisture content measurement of compressible materials using pressure to firmly hold surface probes against the material to be measured. The apparatus uses moisture measurement circuitry employed in frequency domain...

Graciela Putruele, M.T., 1996: Hosts for Ceratitis capitata and Anastrepha fraterculus in the northeastern Province of Entre Rios, Argentina. McPheron, B A [Editor], Steck, G J [Editor] Fruit fly pests: A world assessment of their biology and management 343-345

Evans, S.E.; Milner, A.R., 1993: Frogs and salamanders from the Upper Jurassic Morrison Formation (Quarry Nine, Como Bluff) of North America. Journal of Vertebrate Paleontology. 18 March; 131: 24-30

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Kandalova, G.T., 1991: Investigation of life forms of the Stipagrostis species (Gramineae) in the primary succession on sand (Eastern Karakum). Studies of the ecology and life history of Stipagrostis karelinii, S. pennata subsp. pennata and S. pennata subsp. minor are described.

Li, X.; Wu, H.X.; Southerton, S.G., 2010: Comparative genomics reveals conservative evolution of the xylem transcriptome in vascular plants. Wood is a valuable natural resource and a major carbon sink. Wood formation is an important developmental process in vascular plants which played a crucial role in plant evolution. Although genes involved in xylem formation have been investigated,...

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Zhang, Q.; Shan, C.; Wu, P.; Huang, X-En., 2014: Clinical value of dual-phase 18F-FDG SPECT with serum procalcitonin for identification of etiology in tumor patients with fever of unknown origin. The purpose of the study was to evaluate clinical value of dual-phase 18F-FDG SPECT with serum procalcitonin (PCT) in identifying cancers in patients with fever of unknown origin (FUO). PCT test and dual-phase 18F-FDG SPECT were sequentially perfo...