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- Mamontov, Eugen,1955Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU) (author)
The minimal, phase-transition model for the cell-number maintenance by the hyperplasia-extended homeorhesis
- Article/chapterEnglish2006
Publisher, publication year, extent ...
- Springer Science and Business Media LLC,2006
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- LIBRIS-ID:oai:gup.ub.gu.se/59108
- https://gup.ub.gu.se/publication/59108URI
- https://doi.org/10.1007/s10441-006-8263-3DOI
- https://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-8681URI
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- Language:English
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- VR-Mathematics
- Oncogenic hyperplasia is the first and inevitable stage of formation of a (solid) tumor. This stage is also the core of many other proliferative diseases. The present work proposes the first minimal model that combines homeorhesis with oncogenic hyperplasia where the latter is regarded as a genotoxically activated homeorhetic dysfunction. This dysfunction is specified as the transitions of the fluid of cells from a fluid, homeorhetic state to a solid, hyperplastic-tumor state, and back. The key part of the model is a nonlinear reaction-diffusion equation (RDE) where the biochemical-reaction rate is generalized to the one in the well-known Schlögl physical theory of the non-equilibrium phase transitions. A rigorous analysis of the stability and qualitative aspects of the model, where possible, are presented in detail. This is related to the spatially homogeneous case, i.e. when the above RDE is reduced to a nonlinear ordinary differential equation. The mentioned genotoxic activation is treated as a prevention of the quiescent G0-stage of the cell cycle implemented with the threshold mechanism that employs the critical concentration of the cellular fluid and the nonquiescent-cell-duplication time. The continuous tumor morphogeny is described by a time-space-dependent cellular-fluid concentration. There are no sharp boundaries (i.e. no concentration jumps exist) between the domains of the homeorhesis- and tumor-cell populations. No presumption on the shape of a tumor is used. To estimate a tumor in specific quantities, the model provides the time-dependent tumor locus, volume, and boundary that also points out the tumor shape and size. The above features are indispensable in the quantitative development of antiproliferative drugs or therapies and strategies to prevent oncogenic hyperplasia in cancer and other proliferative diseases. The work proposes an analytical-numerical method for solving the aforementioned RDE. A few topics for future research are suggested.
Subject headings and genre
- MEDICIN OCH HÄLSOVETENSKAP Medicinsk bioteknologi Biomedicinsk laboratorievetenskap/teknologi hsv//swe
- MEDICAL AND HEALTH SCIENCES Medical Biotechnology Biomedical Laboratory Science/Technology hsv//eng
- MEDICIN OCH HÄLSOVETENSKAP Medicinska och farmaceutiska grundvetenskaper Immunologi inom det medicinska området hsv//swe
- MEDICAL AND HEALTH SCIENCES Basic Medicine Immunology in the medical area hsv//eng
- MEDICIN OCH HÄLSOVETENSKAP Medicinska och farmaceutiska grundvetenskaper Cell- och molekylärbiologi hsv//swe
- MEDICAL AND HEALTH SCIENCES Basic Medicine Cell and Molecular Biology hsv//eng
- MEDICIN OCH HÄLSOVETENSKAP Medicinska och farmaceutiska grundvetenskaper Fysiologi hsv//swe
- MEDICAL AND HEALTH SCIENCES Basic Medicine Physiology hsv//eng
- NATURVETENSKAP Biologi Mikrobiologi hsv//swe
- NATURAL SCIENCES Biological Sciences Microbiology hsv//eng
- NATURVETENSKAP Biologi Biokemi och molekylärbiologi hsv//swe
- NATURAL SCIENCES Biological Sciences Biochemistry and Molecular Biology hsv//eng
- NATURVETENSKAP Fysik Annan fysik hsv//swe
- NATURAL SCIENCES Physical Sciences Other Physics Topics hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- NATURVETENSKAP Biologi Bioinformatik och systembiologi hsv//swe
- NATURAL SCIENCES Biological Sciences Bioinformatics and Systems Biology hsv//eng
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering hsv//eng
- cell
- cancer
- oncogenic hyperplasia
- homeorhesis
- formation and disintegration of tumor
- gradual process
- concentration
- genotoxicity
- cell cycle
- morphogeny
- reaction-diffusion equation
- Schlögl's nonstationary phase transition
- Cancer
- Electrical engineering, electronics and photonics
Added entries (persons, corporate bodies, meetings, titles ...)
- Koptioug, AndreiMittuniversitetet,Institutionen för informationsteknologi och medier (-2013)(Swepub:miun)andkop (author)
- Psiuk-Maksymowicz, Krzysztof,1980Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU)(Swepub:gu)xpsikr (author)
- Göteborgs universitetInstitutionen för fysik (GU) (creator_code:org_t)
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- In:Acta Biotheoretica: Springer Science and Business Media LLC54:2, s. 61-1010001-53421572-8358
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