On a mathematical model of bone marrow metastatic niche
| Autor: | J. Ignacio Tello, Ana I. Muñoz |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
Cell signaling Bone Neoplasms Models Biological Metastasis 03 medical and health sciences 0302 clinical medicine Bone Marrow Cell Movement Neoplasms Bone cell medicine Humans Computer Simulation Osteoblasts Chemistry Applied Mathematics Ode Osteoblast General Medicine Neoplastic Cells Circulating medicine.disease Cell biology Computational Mathematics 030104 developmental biology medicine.anatomical_structure 030220 oncology & carcinogenesis Modeling and Simulation Cancer cell Bone marrow Signal transduction General Agricultural and Biological Sciences Signal Transduction |
| Zdroj: | Mathematical Biosciences and Engineering. 14:289-304 |
| ISSN: | 1551-0018 |
| DOI: | 10.3934/mbe.2017019 |
| Popis: | We propose a mathematical model to describe tumor cells movement towards a metastasis location into the bone marrow considering the influence of chemotaxis inhibition due to the action of a drug. The model considers the evolution of the signaling molecules CXCL-12 secreted by osteoblasts (bone cells responsible of the mineralization of the bone) and PTHrP (secreted by tumor cells) which activates osteoblast growth. The model consists of a coupled system of second order PDEs describing the evolution of CXCL-12 and PTHrP, an ODE of logistic type to model the Osteoblasts density and an extra equation for each cancer cell. We also simulate the system to illustrate the qualitative behavior of the solutions. The numerical method of resolution is also presented in detail. |
| Databáze: | OpenAIRE |
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