Ts. D. TSVETKOV, G. PETROV and P. TSVETKOVA

*Scientific Institute for Cryobiology and Food Technologies, BG - 1407 Sofia, Bulgaria*

TSVETKOV, Ts. D., G. PETROV and P. TSVETKOVA, 2007. Non equilibrium thermodynamics of the cryobiology and quantum field theoretical methods in the temporal organization of cells. *Bulg. J. Agric. Sci.*, 13: 379-386

From the new results by the contributions of the environmental freezing-drying and vacuum sublimation (Belaus and Tsvetkov, 1985; Tsvetkov et al., 1989, 2006; Zwetkow, 1985) is hopped that by the grate form expressed e.g. by the thermodynamically and kinetic jump behavior of the living cells and systems will be possibly to describe the biological expressions by means of concrete quantum field system too describing by methods of the quantum wave fields. It is well known that the thermodynamics and the methods of the quantum wave fields are based of the axiomatic physics also causality condition. The temporal organization in cells (Goodwin, 1963) that is also that the dynamics of cellular regulatory processes require causality condition which is a fundamental for the axiomatic theory of N.N. Bogolubuv for the quantum wave fields where was supposed the existence of the S-matrices and asymptotic fields. We believe that for the studding of the living cells and systems the concept of the classical non equilibrium thermodynamics of cryobiology and the axiomatic of the N.N. Bogolubov are sufficiently for the theoretical consideration of the dynamic of cellular control processes. From a great interest is the so called problem of the connection between the entropy and the time arrow. With other words the connection in the cryobiology between the entropy and the causality according to quantum wave field theory of the interactions between a quantum field system and classical bio fields modeled by the additional boundary conditions e.g. as by the Casimir effect.

It is knowing that one of the major causes of damage produced by the several effects at cellular level (i) low temperature per se, (ii) direct effects of freezing and (iii) indirect effects of freezing and (iv) the biochemical modifications in the structure of the living cells by the lipids, phospholipids, proteins in the cell membrane formed by interacting of the "matter" fields such as a new electron distribution or the protonisation at a given time for the living cells and systems is freezing induced dehydration at very short distance scales, where various properties of the physical vacuum of any one concrete quantum field system, e.g. the systems of see scalars wave fields, for which the vacuum state must be conformed by means of the interactions with the classical bio fields or of additional boundary conditions are of crucial importance.

At the molecular level (Mitter and Robaschik, 1999) the thermodynamic behavior is considered by any concrete quantum field system with additional boundaries as by the Casimir effect between the two parallel, perfectly conducting square plates (side L, distance d, L > d), embedded in a large cube (side L) with one of the plates at face an periodic boundary condition. It is considered contributions from the volume L^{2}d between the plates resp. L^{2}(L-d) outside have different temperature (outside T', inside T). For the temperatures T' < T, the external pressure is reduced in comparison with the standard situation (T' = T). Therefore it is expected the existence of a certain distance d_{0}, at which the Casimir attraction is compensated by the net radiation pressure. That is possibly to investigate this field equilibrium point for this system or for hydrological equilibrium of the system membrane-solutions-water and its stability both for an isothermal and an adiabatic treatment of the interior region.