Towards a mathematical theory of complex biological systems /:
This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach t...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
|
| Schriftenreihe: | Series in mathematical biology and medicine ;
v. 11. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling. |
| Beschreibung: | 1 online resource (xvii, 208 pages :) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814340540 9814340545 |
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| 245 | 1 | 0 | |a Towards a mathematical theory of complex biological systems / |c C. Bianca, N. Bellomo. |
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 1. Looking for a mathematical theory of biological systems. 1.1. Introduction. 1.2. On the concept of mathematical theory. 1.3. Plan of the monograph -- 2. On the complexity of biological systems. 2.1. Ten common features of living systems. 2.2. Some introductory concepts of systems biology. 2.3. Reducing complexity -- 3. The immune system : A phenomenological overview. 3.1. Introduction. 3.2. Bacteria and viruses. 3.3. The immune system components. 3.4. The immune response. 3.5. Immune system diseases. 3.6. Critical analysis -- 4. Wound healing process and organ repair. 4.1. Introduction. 4.2. Genes and mutations. 4.3. The phases of wound healing. 4.4. The fibrosis disease. 4.5. Critical analysis -- 5. From levels of biological organization to system biology. 5.1. Introduction. 5.2. From scaling to mathematical structures. 5.3. Guidelines to the modeling approach -- 6. Mathematical tools and structures. 6.1. Introduction. 6.2. Mathematical frameworks of the kinetic theory of active particles. 6.3. Guidelines towards modeling at the molecular and cellular scales. 6.4. Additional analysis looking at the immune competition. 6.5. Critical analysis -- 7. Multiscale modeling : Linking molecular, cellular, and tissues scales. 7.1. Introduction. 7.2. On the phenomenological derivation of macroscopic tissue models. 7.3. Cellular-tissue scale modeling of closed systems. 7.4. Cellular-tissue scale modeling of open systems. 7.5. On the molecular-cellular scale modeling. 7.6. Critical analysis -- 8. A model for Malign Keloid Formation and immune system competition. 8.1. Introduction. 8.2. The mathematical model. 8.3. Simulations and emerging behaviors. 8.4. Critical analysis and perspectives -- 9. Macroscopic models of chemotaxis by KTAP asymptotic methods. 9.1. Introduction. 9.2. Linear turning kernels : Relaxation models. 9.3. Cellular-tissue scale models of chemotaxis. 9.4. Critical analysis -- 10. Looking ahead. 10.1. Introduction. 10.2. Some challenges for applied mathematicians and biologists. 10.3. How far is the mathematical theory for biological systems. 10.4. Closure. | |
| 520 | |a This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling. | ||
| 650 | 0 | |a Biomathematics. |0 http://id.loc.gov/authorities/subjects/sh85014235 | |
| 650 | 0 | |a Biological systems |x Mathematical models. | |
| 650 | 0 | |a Mathematical models. |0 http://id.loc.gov/authorities/subjects/sh85082124 | |
| 650 | 1 | 2 | |a Immune System |x physiology |
| 650 | 2 | 2 | |a Wound Healing |x physiology |
| 650 | 2 | 2 | |a Models, Theoretical |
| 650 | 2 | 2 | |a Computational Biology |
| 650 | 6 | |a Biomathématiques. | |
| 650 | 6 | |a Systèmes biologiques |x Modèles mathématiques. | |
| 650 | 6 | |a Modèles mathématiques. | |
| 650 | 6 | |a Bio-informatique. | |
| 650 | 7 | |a mathematical models. |2 aat | |
| 650 | 7 | |a NATURE |x Reference. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Life Sciences |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Life Sciences |x Biology. |2 bisacsh | |
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| 650 | 7 | |a Biomathematics |2 fast | |
| 700 | 1 | |a Bellomo, N. | |
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| contents | 1. Looking for a mathematical theory of biological systems. 1.1. Introduction. 1.2. On the concept of mathematical theory. 1.3. Plan of the monograph -- 2. On the complexity of biological systems. 2.1. Ten common features of living systems. 2.2. Some introductory concepts of systems biology. 2.3. Reducing complexity -- 3. The immune system : A phenomenological overview. 3.1. Introduction. 3.2. Bacteria and viruses. 3.3. The immune system components. 3.4. The immune response. 3.5. Immune system diseases. 3.6. Critical analysis -- 4. Wound healing process and organ repair. 4.1. Introduction. 4.2. Genes and mutations. 4.3. The phases of wound healing. 4.4. The fibrosis disease. 4.5. Critical analysis -- 5. From levels of biological organization to system biology. 5.1. Introduction. 5.2. From scaling to mathematical structures. 5.3. Guidelines to the modeling approach -- 6. Mathematical tools and structures. 6.1. Introduction. 6.2. Mathematical frameworks of the kinetic theory of active particles. 6.3. Guidelines towards modeling at the molecular and cellular scales. 6.4. Additional analysis looking at the immune competition. 6.5. Critical analysis -- 7. Multiscale modeling : Linking molecular, cellular, and tissues scales. 7.1. Introduction. 7.2. On the phenomenological derivation of macroscopic tissue models. 7.3. Cellular-tissue scale modeling of closed systems. 7.4. Cellular-tissue scale modeling of open systems. 7.5. On the molecular-cellular scale modeling. 7.6. Critical analysis -- 8. A model for Malign Keloid Formation and immune system competition. 8.1. Introduction. 8.2. The mathematical model. 8.3. Simulations and emerging behaviors. 8.4. Critical analysis and perspectives -- 9. Macroscopic models of chemotaxis by KTAP asymptotic methods. 9.1. Introduction. 9.2. Linear turning kernels : Relaxation models. 9.3. Cellular-tissue scale models of chemotaxis. 9.4. Critical analysis -- 10. Looking ahead. 10.1. Introduction. 10.2. Some challenges for applied mathematicians and biologists. 10.3. How far is the mathematical theory for biological systems. 10.4. Closure. |
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| discipline | Biologie |
| format | Electronic eBook |
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Looking for a mathematical theory of biological systems. 1.1. Introduction. 1.2. On the concept of mathematical theory. 1.3. Plan of the monograph -- 2. On the complexity of biological systems. 2.1. Ten common features of living systems. 2.2. Some introductory concepts of systems biology. 2.3. Reducing complexity -- 3. The immune system : A phenomenological overview. 3.1. Introduction. 3.2. Bacteria and viruses. 3.3. The immune system components. 3.4. The immune response. 3.5. Immune system diseases. 3.6. Critical analysis -- 4. Wound healing process and organ repair. 4.1. Introduction. 4.2. Genes and mutations. 4.3. The phases of wound healing. 4.4. The fibrosis disease. 4.5. Critical analysis -- 5. From levels of biological organization to system biology. 5.1. Introduction. 5.2. From scaling to mathematical structures. 5.3. Guidelines to the modeling approach -- 6. Mathematical tools and structures. 6.1. Introduction. 6.2. 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| id | ZDB-4-EBA-ocn733048104 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:18:09Z |
| institution | BVB |
| isbn | 9789814340540 9814340545 |
| language | English |
| oclc_num | 733048104 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (xvii, 208 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific, |
| record_format | marc |
| series | Series in mathematical biology and medicine ; |
| series2 | Series in mathematical biology and medicine ; |
| spelling | Bianca, C. (Carlo) https://id.oclc.org/worldcat/entity/E39PBJkp6H33R8wfyvkD3DyGHC http://id.loc.gov/authorities/names/n2010076928 Towards a mathematical theory of complex biological systems / C. Bianca, N. Bellomo. Singapore ; Hackensack, NJ : World Scientific, ©2011. 1 online resource (xvii, 208 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series in mathematical biology and medicine ; v. 11 Includes bibliographical references and index. Print version record. 1. Looking for a mathematical theory of biological systems. 1.1. Introduction. 1.2. On the concept of mathematical theory. 1.3. Plan of the monograph -- 2. On the complexity of biological systems. 2.1. Ten common features of living systems. 2.2. Some introductory concepts of systems biology. 2.3. Reducing complexity -- 3. The immune system : A phenomenological overview. 3.1. Introduction. 3.2. Bacteria and viruses. 3.3. The immune system components. 3.4. The immune response. 3.5. Immune system diseases. 3.6. Critical analysis -- 4. Wound healing process and organ repair. 4.1. Introduction. 4.2. Genes and mutations. 4.3. The phases of wound healing. 4.4. The fibrosis disease. 4.5. Critical analysis -- 5. From levels of biological organization to system biology. 5.1. Introduction. 5.2. From scaling to mathematical structures. 5.3. Guidelines to the modeling approach -- 6. Mathematical tools and structures. 6.1. Introduction. 6.2. Mathematical frameworks of the kinetic theory of active particles. 6.3. Guidelines towards modeling at the molecular and cellular scales. 6.4. Additional analysis looking at the immune competition. 6.5. Critical analysis -- 7. Multiscale modeling : Linking molecular, cellular, and tissues scales. 7.1. Introduction. 7.2. On the phenomenological derivation of macroscopic tissue models. 7.3. Cellular-tissue scale modeling of closed systems. 7.4. Cellular-tissue scale modeling of open systems. 7.5. On the molecular-cellular scale modeling. 7.6. Critical analysis -- 8. A model for Malign Keloid Formation and immune system competition. 8.1. Introduction. 8.2. The mathematical model. 8.3. Simulations and emerging behaviors. 8.4. Critical analysis and perspectives -- 9. Macroscopic models of chemotaxis by KTAP asymptotic methods. 9.1. Introduction. 9.2. Linear turning kernels : Relaxation models. 9.3. Cellular-tissue scale models of chemotaxis. 9.4. Critical analysis -- 10. Looking ahead. 10.1. Introduction. 10.2. Some challenges for applied mathematicians and biologists. 10.3. How far is the mathematical theory for biological systems. 10.4. Closure. This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling. Biomathematics. http://id.loc.gov/authorities/subjects/sh85014235 Biological systems Mathematical models. Mathematical models. http://id.loc.gov/authorities/subjects/sh85082124 Immune System physiology Wound Healing physiology Models, Theoretical Computational Biology Biomathématiques. Systèmes biologiques Modèles mathématiques. Modèles mathématiques. Bio-informatique. mathematical models. aat NATURE Reference. bisacsh SCIENCE Life Sciences General. bisacsh SCIENCE Life Sciences Biology. bisacsh Mathematical models fast Biological systems Mathematical models fast Biomathematics fast Bellomo, N. has work: Towards a mathematical theory of complex biological systems (Text) https://id.oclc.org/worldcat/entity/E39PCGqB7Xgv3vjrc9t3PjXTpP https://id.oclc.org/worldcat/ontology/hasWork Print version: Bianca, Concetta. Towards a mathematical theory of complex biological systems. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814340533 (DLC) 2010043493 (OCoLC)678534348 Series in mathematical biology and medicine ; v. 11. http://id.loc.gov/authorities/names/n96018845 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373224 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373224 Volltext |
| spellingShingle | Bianca, C. (Carlo) Towards a mathematical theory of complex biological systems / Series in mathematical biology and medicine ; 1. Looking for a mathematical theory of biological systems. 1.1. Introduction. 1.2. On the concept of mathematical theory. 1.3. Plan of the monograph -- 2. On the complexity of biological systems. 2.1. Ten common features of living systems. 2.2. Some introductory concepts of systems biology. 2.3. Reducing complexity -- 3. The immune system : A phenomenological overview. 3.1. Introduction. 3.2. Bacteria and viruses. 3.3. The immune system components. 3.4. The immune response. 3.5. Immune system diseases. 3.6. Critical analysis -- 4. Wound healing process and organ repair. 4.1. Introduction. 4.2. Genes and mutations. 4.3. The phases of wound healing. 4.4. The fibrosis disease. 4.5. Critical analysis -- 5. From levels of biological organization to system biology. 5.1. Introduction. 5.2. From scaling to mathematical structures. 5.3. Guidelines to the modeling approach -- 6. Mathematical tools and structures. 6.1. Introduction. 6.2. Mathematical frameworks of the kinetic theory of active particles. 6.3. Guidelines towards modeling at the molecular and cellular scales. 6.4. Additional analysis looking at the immune competition. 6.5. Critical analysis -- 7. Multiscale modeling : Linking molecular, cellular, and tissues scales. 7.1. Introduction. 7.2. On the phenomenological derivation of macroscopic tissue models. 7.3. Cellular-tissue scale modeling of closed systems. 7.4. Cellular-tissue scale modeling of open systems. 7.5. On the molecular-cellular scale modeling. 7.6. Critical analysis -- 8. A model for Malign Keloid Formation and immune system competition. 8.1. Introduction. 8.2. The mathematical model. 8.3. Simulations and emerging behaviors. 8.4. Critical analysis and perspectives -- 9. Macroscopic models of chemotaxis by KTAP asymptotic methods. 9.1. Introduction. 9.2. Linear turning kernels : Relaxation models. 9.3. Cellular-tissue scale models of chemotaxis. 9.4. Critical analysis -- 10. Looking ahead. 10.1. Introduction. 10.2. Some challenges for applied mathematicians and biologists. 10.3. How far is the mathematical theory for biological systems. 10.4. Closure. Biomathematics. http://id.loc.gov/authorities/subjects/sh85014235 Biological systems Mathematical models. Mathematical models. http://id.loc.gov/authorities/subjects/sh85082124 Immune System physiology Wound Healing physiology Models, Theoretical Computational Biology Biomathématiques. Systèmes biologiques Modèles mathématiques. Modèles mathématiques. Bio-informatique. mathematical models. aat NATURE Reference. bisacsh SCIENCE Life Sciences General. bisacsh SCIENCE Life Sciences Biology. bisacsh Mathematical models fast Biological systems Mathematical models fast Biomathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85014235 http://id.loc.gov/authorities/subjects/sh85082124 |
| title | Towards a mathematical theory of complex biological systems / |
| title_auth | Towards a mathematical theory of complex biological systems / |
| title_exact_search | Towards a mathematical theory of complex biological systems / |
| title_full | Towards a mathematical theory of complex biological systems / C. Bianca, N. Bellomo. |
| title_fullStr | Towards a mathematical theory of complex biological systems / C. Bianca, N. Bellomo. |
| title_full_unstemmed | Towards a mathematical theory of complex biological systems / C. Bianca, N. Bellomo. |
| title_short | Towards a mathematical theory of complex biological systems / |
| title_sort | towards a mathematical theory of complex biological systems |
| topic | Biomathematics. http://id.loc.gov/authorities/subjects/sh85014235 Biological systems Mathematical models. Mathematical models. http://id.loc.gov/authorities/subjects/sh85082124 Immune System physiology Wound Healing physiology Models, Theoretical Computational Biology Biomathématiques. Systèmes biologiques Modèles mathématiques. Modèles mathématiques. Bio-informatique. mathematical models. aat NATURE Reference. bisacsh SCIENCE Life Sciences General. bisacsh SCIENCE Life Sciences Biology. bisacsh Mathematical models fast Biological systems Mathematical models fast Biomathematics fast |
| topic_facet | Biomathematics. Biological systems Mathematical models. Mathematical models. Immune System physiology Wound Healing physiology Models, Theoretical Computational Biology Biomathématiques. Systèmes biologiques Modèles mathématiques. Modèles mathématiques. Bio-informatique. mathematical models. NATURE Reference. SCIENCE Life Sciences General. SCIENCE Life Sciences Biology. Mathematical models Biological systems Mathematical models Biomathematics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373224 |
| work_keys_str_mv | AT biancac towardsamathematicaltheoryofcomplexbiologicalsystems AT bellomon towardsamathematicaltheoryofcomplexbiologicalsystems |