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Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space
(2013-11-01)
Based on the literature data from HT-29 cell monolayers, we develop a model for its growth, analogous to an epidemic model, mixing local and global interactions. First, we propose and solve a deterministic equation for the ...
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space
(2013-11-01)
Based on the literature data from HT-29 cell monolayers, we develop a model for its growth, analogous to an epidemic model, mixing local and global interactions. First, we propose and solve a deterministic equation for the ...
LibreGrowth: A tumor growth code based on reaction-diffusion equations using shared memory
(Elsevier, 2019-10)
In recent years, in-silico experimentation within the field of oncological medicine has been intensively investigated with the aim of better understanding tumor dynamics and dose–response relationships in cancer treatments. ...
A cellular automata model for avascular solid tumor growth under the effect of therapy
(2009)
Tumor growth has long been a target of investigation within the context of mathematical and computer modeling. The objective of this study is to propose and analyze a two-dimensional stochastic cellular automata model to ...
Photodynamic therapy for the treatment of induced mammary tumor in rats
(2013-02-01)
The objective of this work was to evaluate photodynamic therapy (PDT) by using a hematoporphyrin derivative as a photosensitizer and light-emitting diodes (LEDs) as light source in induced mammary tumors of Sprague-Dawley ...
Photodynamic therapy for the treatment of induced mammary tumor in rats
(2013-02-01)
The objective of this work was to evaluate photodynamic therapy (PDT) by using a hematoporphyrin derivative as a photosensitizer and light-emitting diodes (LEDs) as light source in induced mammary tumors of Sprague-Dawley ...
Ontogenetic growth of multicellular tumor spheroids
(Elsevier Science, 2006-11)
In ontogenetic growth models, the basal metabolic rate is usually assumed to depend on the individual mass following a power law. Here it is shown that, in the case of multicellular tumor spheroids, the emergence of a ...
Multiscale models for the growth of avascular tumors
(Physics of Life Reviews, 2018)
Proposal of a hybrid approach for tumor progression and tumor-induced angiogenesis
(BioMed Central, 2015)
One of the main challenges in cancer modelling is to improve the knowledge of tumor progression in areas related to tumor growth, tumor-induced angiogenesis and targeted therapies efficacy. For this purpose, incorporate ...