Conceptual frameworks for mathematical modeling of tumor growth dynamics. Mathematical and Computer Modelling, 23(6):31- 46, 1996.Bajzer, Z., Miljenko Marušić, and Stanimir Vuk-Pavlović. "Conceptual fr
Excessive tumour growth results in a hypoxic environment around cancer cells, thus inducing tumour angiogenesis, which refers to the generation of new blood vessels from pre-existing vessels. This mechanism is biologically and physically complex, with various mathematical simulation models proposing to rep...
Mathematical modelling of immobilized animal cell growth. Art Cells Blood Subs Immob Biotechnol, 1995, 23(1): 109~133Mathematical Modelling of Immobilized Animal Cell Growth[J] . P. K. Yuet,T. J. Harris,M. F. A. Goosen.Artificial Cells, Blood Substitutes and Biotechno . 1995 (1)...
@@[6]Alarcdn,T.,Owen,M.R.,Byrne,H.M.,andMaini,P.K.Multiscalemodellingoftumour growthandtherapy:theinfluenceofvesselnormalisationonchemotherapy.Computationaland MathematicalMethodsinMedicine,7(2-3),85-119(2006) @@[7]Zheng,X.,Wise,S.M.,andCristini,V.Nonlinearsimulationoftumornecrosis,neo ...
μmax Modelling Calculated μmax with the global model (Eq. (6)) with the 35 parameters previously described are shown in Fig. 6. The model explains 78.0% of the variability of μmax0.5. The accuracy factor is frequently used to estimate the average error in growth parameter estimates from...
tumor necrosis factor-αepidermal growth factorinsulinsignalingbiological viewWhen modelling cell signalling networks, a balance must be struck between mechanistic detail and ease of interpretation. In this paper we apply a deterministic numerical method to the analysis of a large, systematic dataset ...
Growth in nature is associated with the development of residual stresses and is in general heterogeneous and anisotropic at all scales. Residual stress in
Our findings suggest that the most effective factors in controlling the progression and preventing metastasis of colon cancer are the initial number of cancer cells, the inhibiting rates of tumor cells by DCs, the source of DCs, and the activation of helper T-cells by DCs. These findings ...
Mathematical modelling of biological systems and processes is a growing field that makes use of various mathematical models and analysis techniques. This special issue (SI) highlights mathematical and computational approaches, to examine central problems in the biological sciences, ranging from the organiza...
wound healing or tumor growth are abundant (Montes-Olivas et al.2019; Mammoto and Ingber2010; Falco et al.2021; d’Alessandro et al.2021; Jain et al.2021). However, for most of these models, our numerical skills far predominate the possibility to analyze them rigorously. Hence, for under...