Math-Phys-Chem Approaches to Life
Aging as the process in which the built-in entropy decreasing function worsens as internal time passes. Thus comes our definition, “life is a one way flow along the intrinsic time axis toward the ultimate heat death, of denumerably many metabolic reactions, each at local equilibrium in view of homeo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/371825 |
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| _version_ | 1832553399861641216 |
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| author | Hitomi Kitaojima Shigeru Kanemitsu |
| author_facet | Hitomi Kitaojima Shigeru Kanemitsu |
| author_sort | Hitomi Kitaojima |
| collection | DOAJ |
| description | Aging as the process in which the built-in entropy decreasing function worsens as
internal time passes. Thus comes our definition, “life is a one way
flow along the intrinsic time axis toward the ultimate heat
death, of denumerably many metabolic reactions, each at local
equilibrium in view of homeostasis”. However, our disposition is not of reductionismic as have been
most of approaches, but it is to the effect that such a complicated
dynamic system as lives are not feasible for modelling or reducing
to minor fragments, but rather belongs to the whole-ism.
Here mathematics can play some essential role because of its
freedom from practical and immediate phenomena under its own nose.
This paper is an outcome of hard trial of
mathematizing scientific disciplines which would allow description of life in terms
of traditional means of mathematica, physics. chemistry, biology etc.
In the paper, we shall give three basic math-phys-chem approaches
to life phenomena, entropy, molecular orbital method and formal language
theory, all at molecular levels. They correspond to three mathematical dsciplines—probability, linear algebra and free groups, respectively. We shall give some basics for the Rényi (𝛼)-entropy, Chebyshev polynomials and the notion of free groups inrespective places. Toward the end of the paper, we give some of our speculations on life and entropy increase principle therein.
Molecular level would be a good starting point for constructing
plausible math-phys-chem models. |
| format | Article |
| id | doaj-art-649545f8e7334b26821fc984a8256532 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-649545f8e7334b26821fc984a82565322025-02-03T05:54:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/371825371825Math-Phys-Chem Approaches to LifeHitomi Kitaojima0Shigeru Kanemitsu1Department of Information Science, Kinki University, Iizuka, Fukuoka 820-8555, JapanGraduate School of Advanced Technology, Kinki University, Iizuka, Fukuoka 820-8555, JapanAging as the process in which the built-in entropy decreasing function worsens as internal time passes. Thus comes our definition, “life is a one way flow along the intrinsic time axis toward the ultimate heat death, of denumerably many metabolic reactions, each at local equilibrium in view of homeostasis”. However, our disposition is not of reductionismic as have been most of approaches, but it is to the effect that such a complicated dynamic system as lives are not feasible for modelling or reducing to minor fragments, but rather belongs to the whole-ism. Here mathematics can play some essential role because of its freedom from practical and immediate phenomena under its own nose. This paper is an outcome of hard trial of mathematizing scientific disciplines which would allow description of life in terms of traditional means of mathematica, physics. chemistry, biology etc. In the paper, we shall give three basic math-phys-chem approaches to life phenomena, entropy, molecular orbital method and formal language theory, all at molecular levels. They correspond to three mathematical dsciplines—probability, linear algebra and free groups, respectively. We shall give some basics for the Rényi (𝛼)-entropy, Chebyshev polynomials and the notion of free groups inrespective places. Toward the end of the paper, we give some of our speculations on life and entropy increase principle therein. Molecular level would be a good starting point for constructing plausible math-phys-chem models.http://dx.doi.org/10.1155/2012/371825 |
| spellingShingle | Hitomi Kitaojima Shigeru Kanemitsu Math-Phys-Chem Approaches to Life International Journal of Mathematics and Mathematical Sciences |
| title | Math-Phys-Chem Approaches to Life |
| title_full | Math-Phys-Chem Approaches to Life |
| title_fullStr | Math-Phys-Chem Approaches to Life |
| title_full_unstemmed | Math-Phys-Chem Approaches to Life |
| title_short | Math-Phys-Chem Approaches to Life |
| title_sort | math phys chem approaches to life |
| url | http://dx.doi.org/10.1155/2012/371825 |
| work_keys_str_mv | AT hitomikitaojima mathphyschemapproachestolife AT shigerukanemitsu mathphyschemapproachestolife |