Thermodynamical Analysis of Life III. Mathematical Analysis of Metabolism
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Living organism is the open system, in which chemical substances are taken from the external system and excreted. Let the free energy taken and excreted be $Z_{1}$ and $Z_{2}$ respectively, then the change of the free energy of the organism is $\dot{G}_{k}{=}Z_{1}-Z_{2}-D$, (4.5) where $D$ is the free energy used to maintain life or for external work $W$. $G_{a}$ be the free energy of the external system, then $-\dot{G}_{a}{=}Z_{1}-Z_{2}$ and the second law may by written in the form $\dot{G}_{a}+\dot{G}_{k}{=}-D{<}0$. (4.8) On the other hand $\dot{G}_{k}$ can be written in the form $\dot{G}_{k}{=}R-D_{r}$, (5.7) where $R{=}Z_{1}-Z_{2}-W-D_{f}, D_{r}{=}D-W-D_{f}$ (5.6) and $D_{f}$ is the energy loss in our body. This is the fundamental equation of thermodynamics of life. $R$ is the repair of free energy of the organism and $D_{r}$ is its depreciation.
- INSTITUTE OF PURE AND APPLIED PHYSICSの論文
- 1953-11-25
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- Thermodynamical Analysis of Life III. Mathematical Analysis of Metabolism