Article Dans Une Revue Journal of Theoretical Biology Année : 2011

Some implications of scale relativity theory in avascular stages of growth of solid tumours in the presence of an immune system response

Résumé

We present a travelling-wave analysis of a reduced mathematical model describing the growth of a solid tumour in the presence of an immune system response in the framework of Scale Relativity theory. Attention is focused upon the attack of tumour cells by tumour infiltrating cytotoxic lymphocytes (TICLs), in a small multicellular tumour, without necrosis and at some stage prior to (tumour-induced) angiogenesis. For a particular choice of parameters, the underlying system of partial differential equations is able to simulate the well-documented phenomenon of cancer dormancy and propagation of a perturbation in the tumor cell concentration by cnoidal modes, by depicting spatially heterogeneous tumour cell distributions that are characterized by a relatively small total number of tumour cells. This behaviour is consistent with several immunomorphological investigations. Moreover, the alteration of certain parameters of the model is enough to induce soliton like modes and soliton packets into the system, which in turn result in tumour invasion in the form of a standard travelling wave. In the same framework of Scale Relativity theory, a very important feature of malignant tumors also results, that even in avascular stages they might propagate and invade healthy tissues, by means of a diffusion on a Newtonian fluid.

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hal-00709546 , version 1 (19-06-2012)

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C.Gh. Buzea, M. Agop, Evelina Moraru, Bogdan A. Stana, Manuela Gîrţu, et al.. Some implications of scale relativity theory in avascular stages of growth of solid tumours in the presence of an immune system response. Journal of Theoretical Biology, 2011, 282 (1), pp.52. ⟨10.1016/j.jtbi.2011.05.001⟩. ⟨hal-00709546⟩

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