Modeling Interactions among Migration, Growth and Pressure in Tumor Dynamics
| Autor: | Juan Campos, Juan José Soler, Juan Melchor, Beatriz Blanco |
|---|---|
| Přispěvatelé: | [Blanco, Beatriz] Univ Granada, Dept Struct Mech, Granada 18071, Spain, [Blanco, Beatriz] Ibs GRANADA, Inst Invest Biosanitaria, Granada 18012, Spain, [Melchor, Juan] Ibs GRANADA, Inst Invest Biosanitaria, Granada 18012, Spain, [Campos, Juan] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, Granada 18071, Spain, [Soler, Juan] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, Granada 18071, Spain, [Campos, Juan] Univ Granada, Res Unit Modelling Nat MNat, Granada 18071, Spain, [Melchor, Juan] Univ Granada, Res Unit Modelling Nat MNat, Granada 18071, Spain, [Soler, Juan] Univ Granada, Res Unit Modelling Nat MNat, Granada 18071, Spain, [Melchor, Juan] Univ Granada, Dept Stat & Operat Res, Granada 18071, Spain, MINECO-Feder (Spain), Junta de Andalucia (Spain), Instituto de Salud Carlos III, Ministry of Science, Innovation and Universities of Spain, Consejeria de Economia, Conocimiento, Empresas y Universidad, European Regional Development Fund (ERDF), [Blanco,B] Department of Structural Mechanics, University of Granada, Granada, Spain. [Blanco,B, Melchor,J] Instituto de Investigación Biosanitaria, ibs.GRANADA, Granada, Spain. [Campos,J, Soler,J] Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, Spain. [Campos,J, Melchor,J, Soler,J] Research Unit 'Modelling Nature' (MNat), Universidad de Granada, Granada, Spain., This paper has been partially supported by the MINECO-Feder (Spain) research grant num bers RTI2018-098850-B-I00 (J.C., J.S.) & EQC2018-004508-P (B.B., J.M.), the Junta de Andalucía (Spain) Projects PY18-RT-2422 (J.C., J.S.), A-FQM-311-UGR18 (J.C., J.S.) & IE2017-5537 (B.B., J.M.), and by the Instituto de Salud Carlos III, project number DTS17/00087 (J.M., J.S.). This study was also funded by Ministry of Science, Innovation and Universities of Spain, project numbers DPI2017-85359-R (B.B., J.M.) & PID2019-106947RA-C22 (B.B., J.M.) and by Consejería de Economía, Conocimiento, Empresas y Universidad and European Regional Development Fund (ERDF), ref. SOMM17/6109/UGR (J.C., J.M., J.S.). Lastly, B.B. research was granted by Ministry of Science, Innovation and Universities of Spain, FPU2017/01415. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Computer science
01 natural sciences Forces Phenomena and Processes::Cell Physiological Phenomena::Cell Physiological Processes::Cell Movement [Medical Subject Headings] Diffusion porous media Qualitative behavior Computer Science (miscellaneous) Numerical simulations Homeostasis Statistical physics Diffusion (business) Solid tumor Analytical Diagnostic and Therapeutic Techniques and Equipment::Investigative Techniques::Epidemiologic Methods::Data Collection::Vital Statistics::Mortality::Cause of Death [Medical Subject Headings] Cancer 0303 health sciences Partial differential equation Mathematical modelling Dynamics (mechanics) Traveling-waves mathematical modeling tumor dynamics Phenomena and Processes::Chemical Phenomena::Biochemical Phenomena::Biochemical Processes::Signal Transduction [Medical Subject Headings] Diseases::Neoplasms [Medical Subject Headings] flux-saturated Modelos teóricos General Mathematics Phenomena and Processes::Physical Phenomena::Mechanical Phenomena::Porosity [Medical Subject Headings] Context (language use) Information Science::Information Science::Communication::Cybernetics::Feedback [Medical Subject Headings] cell motility Stress Mechanics 03 medical and health sciences QA1-939 Hele-Shaw model Movimiento celular Phenomena and Processes::Physical Phenomena::Mechanical Phenomena::Elasticity [Medical Subject Headings] 0101 mathematics Engineering (miscellaneous) 030304 developmental biology Computer simulation 010102 general mathematics Porous-media equations Mass numerical simulation Floculadores Phenomena and Processes::Cell Physiological Phenomena::Cell Physiological Processes::Cell Transdifferentiation::Epithelial-Mesenchymal Transition [Medical Subject Headings] mechanical feedback Phenomena and Processes::Physiological Phenomena::Physiological Processes::Homeostasis [Medical Subject Headings] Mathematics |
| Zdroj: | Digibug. Repositorio Institucional de la Universidad de Granada instname Mathematics, Vol 9, Iss 1376, p 1376 (2021) Digibug: Repositorio Institucional de la Universidad de Granada Universidad de Granada (UGR) Mathematics Volume 9 Issue 12 |
| Popis: | What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Although the analysis of some of the biochemical aspects related to the signaling pathways involved in the spread of tumors has advanced notably in recent times, their feedback with the mechanical aspects is a crucial challenge for a global understanding of the problem. The aim of this paper is to try to illustrate the role and the interaction between some evolutionary processes (growth, pressure, homeostasis, elasticity, or dispersion by flux-saturated and porous media) that lead to collective cell dynamics and defines a propagation front that is in agreement with the experimental data. The treatment of these topics is approached mainly from the point of view of the modeling and the numerical approach of the resulting system of partial differential equations, which can be placed in the context of the Hele-Shaw-type models. This study proves that local growth terms related to homeostatic pressure give rise to retrograde diffusion phenomena, which compete against migration through flux-saturated dispersion terms. MINECO-Feder (Spain) research grant numbers RTI2018-098850-B-I00 (J.C., J.S.) & EQC2018-004508-P (B.B., J.M.) Junta de Andalucía (Spain) Projects PY18-RT-2422 (J.C., J.S.), A-FQM-311-UGR18 (J.C., J.S.) & IE2017-5537 (B.B., J.M.) Instituto de Salud Carlos III, project number DTS17/00087 (J.M., J.S.) Ministry of Science, Innovation and Universities of Spain, project numbers DPI2017-85359-R (B.B., J.M.) & PID2019-106947RA-C22 (B.B., J.M.) Consejería de Economía, Conocimiento, Empresas y Universidad and European Regional Development Fund (ERDF), ref. SOMM17/6109/UGR (J.C., J.M., J.S.) Ministry of Science, Innovation and Universities of Spain, FPU2017/01415 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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