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Biology and Mathematics
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2019.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-Title Page; Title Page; Copyright Page; Contents; Foreword; Introduction; 1. On the Status of Biology: On the Definition of Life; 1.1. Causality in biology; 1.1.1. Vitalism; 1.1.2. Teleology; 1.2. Variability in biology; 1.2.1. Time-dependence of biological processes; 1.2.2. Environment-dependence of biological processes; 2. On the Nature of the Contribution Made by Mathematics to Biology; 2.1. On the affinity of mathematics with biology; 2.2. Mathematics, an instrument of work and thought on biology; 3. Some Historical Reference Points: Biology Fashioned by Mathematics
- 3.1. The first remarkable steps in biomathematics3.1.1. On the continuous in biology; 3.1.2. On the discrete in biology; 3.1.3. The notion of laws in biology; 3.1.4. The beginning of classical science: Descartes and Pascal; 3.1.5. Buffon and hesitations relating to the utility of mathematics in biology; 3.2. Some pertinent contributions from mathematics in the modern era; 3.2.1. The laws of growth; 3.2.2. Formal genetics; 3.3. Introduction of the notion of a probabilistic model in biology; 3.4. The physiology of C. Bernard (1813-1878): the call to mathematics
- 3.5. The principle of optimality in biology3.6. Introduction of the formalism of dynamic systems in biology; 3.7. Morphogenesis: the need for mathematics in the study of biological forms; 3.7.1. General principles from D'Arcy Thompson; 3.7.2. Turing's reaction-diffusion systems (1952): morphogenesis, a "break of symmetry"; 3.8. The theory of automatons and cybernetics in biology; 3.8.1. The theory of automatons; 3.8.2. The contribution of cybernetics; 3.8.3. The case of L-systems; 3.8.4. Petri's networks; 3.9. Molecular biology; 3.9.1. On genetic information
- 3.9.2. The linguistic model in biology3.10. Information and communication, important notions in biology; 3.11. The property of self-organization in biology; 3.11.1. Structural self-organization; 3.11.2. Self-reproductive hypercycle; 3.12. Systemic biology; 3.12.1. On the notion of system; 3.12.2. Essay in relational biology; 3.12.3. Emergence and complexity; 3.12.4. Networks; 3.12.5. Order, innovation and complex networks; 3.13. Game theory in biology; 3.14. Artificial life; 3.14.1. Biomimetic automatons; 3.14.2. Psychophysiology and mathematics: controls on learning; 3.15. Bioinformatics
- 4. Laws and Models in Biology4.1. Biological laws in literary language; 4.1.1. The law of Cuvier's organic correlations (1825); 4.1.2. The fundamental biogenetic law; 4.2. Biological laws in mathematical language; 4.2.1. Statistical laws; 4.3. Theoretical laws; 4.3.1. Formal genetics; 4.3.2. Growth laws; 4.3.3. Population dynamics; 5. Mathematical Tools and Concepts in Biology; 5.1. An old biomathematical subject: describing and/or explaining phyllotaxis; 5.2. The notion of invariant and its substrate: time and space; 5.2.1. Physical time/biological time; 5.2.2. Metric space/non-metric space