12,136 research outputs found
Migration Processes Modeling with Cellular Automation
Abstract. The problem of interregional migration flows modeling is being studied. The conjecture that modeling household migration behavior at local level in view of community interactions and using cellular automata results in adequate forecasting of interregional migration flows has been numerically confirmed. A computer program was developed in order to implement the cellular automaton suggested in this study, which models interregional migration flows. Cellular automaton program was tested on Primorsky krai migration flows statistical data; a short-term forecast of the region migration flows was obtained
Mathematical modeling to elucidate brain tumor abrogation by immunotherapy with T11 target structure
T11 Target structure (T11TS), a membrane glycoprotein isolated from sheep
erythrocytes, reverses the immune suppressed state of brain tumor induced
animals by boosting the functional status of the immune cells. This study aims
at aiding in the design of more efficacious brain tumor therapies with T11
target structure. We propose a mathematical model for brain tumor (glioma) and
the immune system interactions, which aims in designing efficacious brain tumor
therapy. The model encompasses considerations of the interactive dynamics of
macrophages, cytotoxic T lymphocytes, glioma cells, TGF-, IFN-
and the T11TS. The system undergoes sensitivity analysis, that determines which
state variables are sensitive to the given parameters and the parameters are
estimated from the published data. Computer simulations were used for model
verification and validation, which highlight the importance of T11 target
structure in brain tumor therapy
Mathematical models of avascular cancer
This review will outline a number of illustrative mathematical models describing the growth of avascular tumours. The aim of the review is to provide a relatively comprehensive list of existing models in this area and discuss several representative models in greater detail. In the latter part of the review, some possible future avenues of mathematical modelling of avascular tumour development are outlined together with a list of key questions
Modeling Three-dimensional Invasive Solid Tumor Growth in Heterogeneous Microenvironment under Chemotherapy
A systematic understanding of the evolution and growth dynamics of invasive
solid tumors in response to different chemotherapy strategies is crucial for
the development of individually optimized oncotherapy. Here, we develop a
hybrid three-dimensional (3D) computational model that integrates
pharmacokinetic model, continuum diffusion-reaction model and discrete cell
automaton model to investigate 3D invasive solid tumor growth in heterogeneous
microenvironment under chemotherapy. Specifically, we consider the effects of
heterogeneous environment on drug diffusion, tumor growth, invasion and the
drug-tumor interaction on individual cell level. We employ the hybrid model to
investigate the evolution and growth dynamics of avascular invasive solid
tumors under different chemotherapy strategies. Our simulations reproduce the
well-established observation that constant dosing is generally more effective
in suppressing primary tumor growth than periodic dosing, due to the resulting
continuous high drug concentration. In highly heterogeneous microenvironment,
the malignancy of the tumor is significantly enhanced, leading to inefficiency
of chemotherapies. The effects of geometrically-confined microenvironment and
non-uniform drug dosing are also investigated. Our computational model, when
supplemented with sufficient clinical data, could eventually lead to the
development of efficient in silico tools for prognosis and treatment strategy
optimization.Comment: 41 pages, 8 figure
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