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In our recent previous study, we in anatomy and histology modeled meridian channels as a physiological system based on published biomedical data. We think, the meridian system is mostly constructed with interstices in or between other physiological systems; major components in the meridians are loosen connective tissues that consist of electrolytes, cells and proteins; the electrolytes provide rich fluids and ionsÂ for processing, propagation or transportation of information, matter and energy in the meridians. In this research, we propose infophysics models to answer how information, matter and energy are processed, propagandized, or transported in the meridians. We apply thermodynamics to macroscopically present relationships of entropy, energy, work, heat, pressure, volume and temperature; physics involves the two laws of thermodynamics, van der Waalâs equation, Gibbs equation and Maxwellâs equations of thermodynamics. We apply classic statistical mechanics to microscopically elucidate information amount and matter (or energy) flux for the complicated irreversible process; physics involves Gibbs entropy, Onsager method or formulation, such as heat conduction density (Fourier law), particle diffusion densityÂ (Fick law), electric current density (Ohm law), or shear stress of viscosity (Newton law), Poisson-Boltzmann equation and Boltzmann equation. We apply electrodynamics to macroscopically describe electromagnetic fields and ions motion; physics involves Maxwellâs equations of electrodynamics, Newtonian momentum transfer equation, Ohmâs law, Lorentz forces, Bernoulliâs separation method, conservations of charges and masses, and Poyntingâs theorem. We apply constitutive equation in fluid mechanics to indicate stress - strain relationship. We apply Schrodinger equation in quantum statistical mechanics to estimate ion channel currents.Â We also think information has different expressions and levels (forms). In a view of sciences, there are expressions of physics, chemistry, physiology, medicine, et al. In a view of arts, there are expressions of songs, music, photos, draws, tables, words, et al. In a view of physics, the highest level of information contains related or correlated equations, such as Maxwell equations of electromagnetism or thermodynamics, Newtonâs laws of mechanics, Einsteinâs relativities; the higher level of information is a theoretic formula, such as Schrodinger equation, Boltzmann entropy formula, Newtonâs gravitational law; the middle level of information is a function, such as a natural exponential function; the basic level of information is a property or an attribute of a function, e.g., a frequency of a wave function. Lower level information can be resolved or expressed with or included in higher level information, e.g., dual properties of wave and particle of an electron can be expressed with a probability wave function, and the function can be included in and resolved with Schrodinger equation.Keywords: Interstices, Electrolytes, Thermodynamics, Electrodynamics, Entropy, Statistical, Fluid

Scientists or clinicians have proposed many models or hypotheses to discover the mechanisms of meridian (- collateral) channels in human bodies. One of hypotheses is that the Chinese medicine system is a special channel network comprising of the skin with abundant nerves and nociceptive receptors of various types and deeper connective tissues inside the body with the flowing interstitial fluid system [1]. Another hypothesis of multi-factors is involved in direct communication pathway of the cell junction (specially keeping the relevant cellular direct communication relation in individual development), the extra-cellular matrix stress network system and its biophysical message transmission--force--meridian signs transformation-inter-cellular massage integration [2] Mathematical [3], informative [4] and birdcage [5] models have been proposed too. However the mechanism of the meridian channel system is still unclear. In our recent previous study [6], we in anatomy and histology modeled meridian channels as a physiological system based on published biomedical data [7-9]. We think, the meridian system is mostly constructed with interstices in or between systems of the integumentary, the nervous, the muscular, the cardiovascular, the skeletal, the lymphatic, the endocrine, the respiratory, the digestive, the urinary and the reproductive; major components in the meridians are loosen connective tissues that consist of electrolytes, cells and proteins; the electrolytes provide rich fluids and ions for processing, propagation or transportation of information, matter and energy in the meridians. The meridian system is mostly in longitudinal direction (ascending from toes or fingers), is approximately symmetric about the middle line (from the nose to the umbilicus or spinal cord), and is roughly parallel to systems of the integumentary, the nervous, the muscular, the cardiovascular, the skeletal, the lymphatic, and the endocrine. We hypothesized the orientation, the symmetry and the parallel of the systems are formed during the embryoâs development. Similar to systems of the nervous, the cardiovascular, the lymphatic, the endocrine, the respiratory, the digestive and the urinary, the meridian system should be unblocked according to the theory of Chinese medicine. If the systems are blocked, some diseases could occur. However, we have not modeled how information, matter and energy are processed, propagandized or transported in the meridian system and we have not found any related report in a view of biomedical infophysics. We think storage, propagation (or transportation) and processing of information are physical. In this paper, we consider infophysics as a combination of information and physics, and present our infophysics models for processing, transportation or propagation of information, matter and energy in the meridian system. We believe our models in this paper will be helpful to keep health people from or treat patients with the meridian diseases.

We think information has different expressions and levels (forms) [6]. In a view of sciences, there are expressions of physics, chemistry, physiology, medicine, et al. In a view of arts, there are expressions of songs, music, photos, draws, tables, words, et al. In a view of physics, the highest level of information contains related or correlated equations, such as Maxwell equations of electromagnetism or thermodynamics, Newtonâs laws of mechanics, Einsteinâs relativities; the higher level of information is a theoretic formula, such as Schrodinger equation, Boltzmann entropy formula, Newtonâs gravitational law; the middle level of information is a function, such as a natural exponential function; the basic level of information is a property or an attribute of a function, e.g., a frequency or an amplitude of a wave function. Lower level information can be (approximately) resolved or expressed with or included in higher level information, e.g., dual properties of wave and particle of an electron can be expressed with a probability wave function, and the function can be included in and resolved with Schrodinger equation. The levels from the middle to the highest are correspondent to approach the natural laws; the basic levels are correspondent to approach properties or attributes of the natural objects. See Fig. 1.Fig. 2 illustrates our framework of main networks of information, matter and energy in a human body. In this investigation, we focus on the meridian network; and we first introduce our meridian models in physiology; then based on the physiological model, we propose our models for processing, transportation or propagation of information, matter and energy in the meridians in physics.A. BiomedicineFig. 3 shows our model of meridian channel system for human embryos in physiology, anatomy and histology. The meridians are interstices around systems of the nervous, the cardiovascular, the digestive and the cells. We believe the meridian system is formed during embryos developing in parallel to other physiological systems, such as the nervous, the cardiac vascular, the muscle and the skin [6].Fig. 4 shows our model of meridian channel system of human adults. The meridians are interstices in or between systems of the integumentary, the nervous, the muscular, the cardiovascular and the skeletal. The nervous system samples, collects, encodes, decodes, transmits and processes information from other systems and controls the other systems [1]. Our modeling results suggest that, the meridian system is mostly constructed with interstices in or between other physiological systems; major components in the meridians are loosen connective tissues that consist of electrolytes, cells and proteins, the electrolytes provide rich fluids and ions for processing, transportation or propagation of information, matter and energy in the meridians(6).B. InfophysicsA biological system obeys laws of physics and chemistry [10]. We mostly model processing, propagation or transportation of information, matter and energy in the meridian system with laws and theorems in physics, though chemistry is involved too. The dominative laws and theorems in physics involve thermodynamics, classic statistical mechanics, electrodynamics, fluid mechanics and dynamics, quantum statistical mechanics.

A. Electric shock If we accidentally get an electric shock by touching a charged object with our hands, we will feel externally applied electric currents flow along our arms6. The externally applied electric currents or fields approximately follow Ohmâs law of electricity (equation 14), ions motion approximately follows equations 18 or 22. We would like explain the phenomenon in this way: the externally applied electric currents or fields flow in our meridian channel system, the applied fields stimulate our nervous sensors along the meridians, the sensors sample and collect the information, the nerves transmit the information to our brains, see Fig. 4. This evident strongly supports our models of meridian channel system. B. Interstitial fluid flow Experimental data of interstitial fluid flow [1, 26] could be described with equations 26 and 27. C. Interstices We can see interstices when we cut fresh meat, such as beefs or porks. We consider the interstices as the meridian channels.

Though, we can solve the equations with the boundary conditions in theory, it is very difficult to obtain analytical solutions of the equations today. Future study could be how to solve the equations analytically or digitally; and how to fit the experimental data with the calculated results. We believe our models are also applicable to other biomedical systems in principle.

Information has different expressions and levels (forms). In a view of sciences, there are expressions of physics, chemistry, physiology, medicine, et al. In a perspective of physics, the highest level of information contains related or correlated equations, such as Maxwell equations of electromagnetism or thermodynamics, Newtonâs laws of mechanics, Einsteinâs relativities; the higher level of information is a theoretic formula, such as SchrÃ¶dinger equation, Boltzmann entropy formula, Newtonâs gravitational law; the middle level of information is a function, such as a natural exponential function; the basic level of information is a property or an attribute of a function. Lower level information can be resolved or expressed with or included in higher level information.

The authors thank Miss Vivien Cheng of Princeton University for comments and English corrections.

1. P.C. Fung, âProbing the mystery of Chinese medicine meridian channels with special emphasis on the connective tissue interstitial fluid system, mechanotransduction, cells durotaxis and mast cell degranulation,â Chin. Med. 4, 10:1-6, (2009).2. J.D. Chen, âOn structure characteristics and mechanisms of channels and collaterals,â 29(4):293-6 (2009).3. Y. Liu, L. Chen, P. Fan, X. Wu, âCreate mathematical model and analysis of correlation between traditional Chinese medicinal characteristics and neurobehavioral effects,â Zhongguo Zhong Yao Za Zhi. 34(3):251-4 (2009).4. X.L. Chang, âAnatomical visibility of the meridian information channels,â Zhen Ci Yan Jiu. 33(6):420-2 (2008).5. K.T. Yung, âBirdcage model for the Chinese meridian system: part VI. meridians as the primary regulatory system,â Am J Chin Med. 33(5):759-66 (2005).6. K. Cheng and C. Zou, âInformation models of acupuncture analgesia and meridian channels,â Information 1(2), 153-168 (2010); doi:10.3390/info1020153.7. M. H. Ross and W. Pawlina, Histology: A Text and Atlas: With Correlated Cell and Molecular Biology (Lippincott Williams & Wilkins, Philadelphia, PA, USA, 2006).8. S. McCann, J. Tillotson and S.E. Reichert, Anatomy Coloring Book (Kaplan Publishing, New York, NY, USA, 2008).9. B. M. Patten, Human Embryology, Edited by Clark Edward Corliss (McGraw-Hill, New York, NY, USA, 1982).10. B. Alberts, et al, Molecular Biology of The Cell (Garland Science, New York, NY, USA, 2007).11. G. Barrow, Physical Chemistry (Mcgraw-Hill College, New York, NY USA, 1996).12. Moore WJ, Physical Chemistry, Longman Publishing Group; New York, NY, USA, 1998).13. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, NY, USA, 1987).14. J.W. Gibbs, Elementary Principles in Statistical Mechanics - Developed with Special Reference to the Rational Foundation of Thermodynamics (Dover, NY, USA, 1901).15. C.E. Shannon, âA mathematical theory of communication,â Bell System Technical Journal, July/October (1948).16. R.W. Hamming, Coding and Information Theory (Prentice-Hall Inc. Wood Cliffs, NJ, USA, 1986). 17. E. SchrÃ¶dinger, What is Life? and Mind and Matter (Cambridge University Press. New York, NY, USA, 1968).18. K. Cheng and C. Zou, âFour dimensional BioChemInfoPhysics models of cardiac cellular and sub-cellular vibrations (oscillations),â OnLine Journal of Biological Sciences, 9(2), 52-61 (2009).19. M.A. Uman, Introduction to Plasma Physics (McGraw Hill, New York, NY, 1964).20. H. Sagan, Boundary and Eigenvalue Problems in Mathematical Physics (Dover Publications, New York, NY, USA, 1989).21. K. Cheng and C. Zou, âBioInfoPhysics models of neuronal signal processes based on theories of electromagnetic fields,â American Journal of Neuroscience, 1(1), 13-20 (2010).22. Y.C. Fung, Biomechanics, Mechanics Properties of Living Tissues (Springer, New York, NY, USA, 1996).23. Y.C. Fung, Biodynamics, Circulation (Springer, New York, NY, USA, 2010).24. K. Cheng, P.P. Tarjan, C. Zou, âSchrodinger equation, Maxwell-Boltzmann distribution and single channel current,â Biomed Sci Instrum. 29, 361-367 (1993).25. K. Cheng, âImproved 3-D quantum mechanical models of ion movements in a cylindrical ion-channel,â Proceedings of the 16th Southern Biomedical Engineering Conference, Broadwater Beach Resort, Bilaxi, Mississippi, USA, 1997, edited by J.D. Bumgardner, A.A. Puckett [IEEE: Piscataway, NJ, USA, pp. 220-223 (1997)].26. Y. Xu, W. Zhang, Y. Tian, R. Wang, L. Wang, T. Huang and G. Wang, âPreliminary observation of the blocking effect produced by injecting polyacnylamide hydrogel on low hydraulic resistance channel along meridian,â Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 26(4):776-9 (2009).