From irreversible thermodynamics to network thermodynamics

Whenever the subject of the thermodynamics of irreversible processes TIP is brought up among biologists, there seems to be a very polarized reaction: some have found it a useful tool, others reject it utterly, and for some reason which I do not understand, even fervently. For the present school, Professor Aharon Katchalsky had suggested that we try together to point out some ways in which TIP has been useful, to discuss limitations and shortcomings, and, finally, to show the direction and first results of present efforts, mainly in network thermodynamics¹. It would have been my task to show you the darker side of the coin, but now Aharon is not with us to show you the shining side in his unique way, to carry you along with his enthusiasm. I believe it is in Aharon's spirit that I do not attempt to evaluate or commemorate his contributions and achievements, but just talk science and try to convey a little of what was at the center of his interest during the last years.     

An improved method for the description of non-electrolyte permeation through liposomes,based on irreversible thermodynamics

In this paper experimental conditions are described to measure the three irreversible thermodynamic parameters for the nonelectrolyte permeatiion through liposomes.The values for the reflection coefficient σ, measured by this method, differ significantly from those found previously.     

The application of linear irreversible thermodynamics to biological growth

We measured the rate of cell biomass growth, the consumption of organic substrate, and the heat developed during growth. The relationship between thermodynamic efficiency and the rate of microbial growth was considered.     

An irreversible thermodynamics treatment of electrodiffusion in uniform membranes

Summary In a previous paper (Ciani andGliozzi, 1966) we presented the integration of the phenomenological equations of flow of irreversible thermodynamics, describing the movement of water and two monovalent counterions across a uniform permselective membrane. The present paper generalizes those results, by introducing less restrictive assumptions and by allowing for the case that two counterions of different valences or one counterion and one coion are present in the membrane.The analytical expressions for the voltage-current relationship, the fluxes of the mobile species and the profiles of the concentrations are derived. The membrane resistance and the rectification properties of the system are analyzed in detail.The expression of the flux of water is found to allow for negative electroosmosis.Some comparative remarks between the present treatment and the earlier theory bySchlögl andSchödel (Schlögl andSchödel, 1955) are presented in the last section of the paper.     

Migration by haptotaxis of a Schwann cell tumor line to the basement membrane glycoprotein laminin

Laminin is a large (greater than 850-kdalton) glycoprotein that is localized within basement membranes. Recent work has indicated that this protein is present within the endoneurium of mouse sciatic nerve. Furthermore, it has been shown that a rat Schwannoma cell line, RN22F, produced laminin and that laminin promoted the attachment of these cells to bacterial plastic. This report presents evidence that RN22F cells migrate in vitro to laminin in a concentration-dependent fashion. Laminin was extracted from the mouse EHS tumor and purified by molecular sieve and heparin-agarose affinity chromatography. The migration of Schwannoma cells to laminin, as assessed in a microwell modified Boyden chamber, was inhibited in a dose-dependent manner by affinity-purified antilaminin antibody. Zigmond-Hirsch checkerboard analysis experiments indicated that laminin stimulated both random and directed movement of RN22F cells. Additionally, reversal of the laminin gradient in the chambers also stimulated RN22F migration in a concentration-dependent manner, suggesting that directed migration of RN22F cells was due to a substratum-bound laminin (haptotaxis) as opposed to cell movement in response to fluid-phase laminin (chemotaxis). Binding studies using [3H]laminin demonstrated that laminin bound to the filter surface under the assay conditions used, and support the contention that cells are migrating to substrate-bound material. Furthermore, RN22F cells were shown to migrate on filters coated with laminin in the absence of additional fluid-phase laminin. The magnitude of this response could be altered by changing the relative density of bound laminin. In contrast, fibronectin promoted only marginal migration of RN22F cells. Collectively, these observations indicate that haptotaxis may be a mechanism by which laminin may guide cells during development and raise the possibility that it may be involved in peripheral nervous system myelination.     

Targeting of the mitochondrial membrane proteins to the cell surface for functional studies

Studying mitochondrial membrane proteins for ion or substrate transport is technically difficult, as the organelles are hidden within the cell interior and thus inaccessible to many conventional nondisruptive techniques. This technical barrier can potentially be overcome if the mitochondrial membrane proteins are targeted to the cell surface, where they can be more readily studied. We undertook experiments presented here to target two related mitochondrial membrane proteins, mitochondrial ATP-binding cassette-1 and -2 protein (mABC1 and mABC2, respectively) to the cell surface for functional studies. These two proteins have an N-terminal mitochondrial targeting signal (MTS), and we hypothesized that removal of this sequence or addition of a cell surface targeting signal would lead to cell membrane targeting of these proteins. When the MTS was removed from mABC1, it localized to intracellular secretory compartments as well as the plasma membrane. However, truncated mABC2 lacking the MTS aggregated inside the cell. Addition of a cell membrane signal sequence or the transmembrane domain from CD8 to the N-terminus of mABC1 or mABC2 resulted in similar subcellular localizations. We then performed patch clamp on cells expressing mABC1 on their surface. These cells exhibited nonselective transport of K(+) and Na(+) ions and resulted in the loss of membrane potential. Our findings open new ways to study mitochondrial membrane proteins in established cell culture systems by targeting them to the cell surface, where they can more reliably be studied using various molecular and cellular techniques.     

"Carrier" theory and thermodynamics of irreversible processes.

A theory of transport via a "carrier" based on Wyman's theory on multiple equilibria is presented. By taking into account the detailed balance principle, it is possible to simplify the flux expressions and their coupling coefficients. In this way, Onsager's rules are derived. An experimental approach to the model is proposed.     

Mathematical description and analysis of cell cycle kinetics and the application to Ehrlich ascites tumor

The linear and nonlinear aspects of the dynamics of the cell cycle kinetics of cell populations are studied. The dynamics are represented by difference equations. The characteristics of cell population systems are analyzed by applying the model to Ehrlich ascites tumor. The model applied for the simulations of the growth of Ehrlich ascites tumor cells incorporates processes of cell division, cell death, transition of cells to resting states and clearance of dead cells. Comparison of the results obtained with the model and the experimental data suggests that the duration of the mean generation time of the proliferating EAT cells increases with aging of the tumor. An attempt is made to relate the prolongation of cell mean generation time with processes of cell death and dead cell clearance. Studying the transition of cells to the resting states, it becomes apparent that in fact transition of proliferating cells to the resting states occurs somewhere close to the end of the cell cycle and with a rate that varies with the age of the tumor. Time course behavior of the cell age, cell size, and cell DNA distribution with aging of the tumor are obtained. Variations in average size and average DNA contents are determined.     

On the statistical thermodynamics of membrane formation

Modifying a procedure developed by Scheutjens and Fleer (J. Phys. Chem. 83 (1979) 1619: J. Phys. Chem. 84 (1980) 178) to describe adsorption of polymers, a lattice theory is proposed to formulate the formation and properties of amphiphilic bilayer membranes. In this theory individual conformations are distinguished and lateral interactions are taken into account in a Flory-Huggins approximation. Probability distributions of head tail and solvent segments are computed and it is shown that they are not narrow, i.e., membrane properties are subject to considerable fluctuations. The average concentration of the water in the hydrophobic core is nonzero. Various extensions, consequences and applications are proposed.     

Application of the effective formula of growth functional to quantitative description of growth of plant cells

An effective formula describing expansive plant growth is derived from the modified Lockhart/Ortega-type equation. Its applicability is demonstrated on selected experimental data extracted from available literature. Quantitative information about the “diffusion rate” (k ₂) of the growth factors is obtained for two different model species in plant science: Arabidopsis thaliana L. belongs to the dicots and Zea mays L. belongs to the monocots. It is shown that the value of the diffusion rate may be useful in comparing different datasets and serve as a measure of reproducibility of standard measurements. Analysis of the formula and fits allows to identify and suggest a set of criteria for reporting future experiments, which would improve comparability and reproducibility of the results.     

Application of (1)H and (31)P NMR to topological description of a model of biological membrane fusion: topological description of a model of biological membrane fusion

The process of biological membrane fusion can be analysed by topological methods. Mathematical analysis of the fusion process of vesicles indicated two significant facts: the formation of an inner, transient structure (hexagonal phase - H(II)) and a translocation of some lipids within the membrane. This shift had a vector character and only occurred from the outer to the inner layer. Model membrane composed of phosphatidylcholine (PC), phosphatidylethanolamine (PE) and phosphatidylserine (PS) was studied. (31)P- and (1)H-NMR methods were used to describe the process of fusion. (31)P-NMR spectra of multilamellar vesicles (MLV) were taken at various temperatures and concentrations of Ca(2+) ions (natural fusiogenic agent). A (31)P-NMR spectrum with the characteristic shape of the H(II) phase was obtained for the molar Ca(2+)/PS ratio of 2.0. During the study, (1)H-NMR and (31)P-NMR spectra for small unilamellar vesicle (SUV), which were dependent on time (concentration of Pr(3+) ions was constant), were also recorded. The presence of the paramagnetic Pr(3+) ions permits observation of separate signals from the hydrophilic part of the inner and outer lipid bilayers. The obtained results suggest that in the process of fusion translocation of phospholipid molecules takes place from the outer to the inner layer of the vesicle and size of the vesicles increase. The NMR study has showed that the intermediate state of the fusion process caused by Ca(2+) ions is the H(II) phase. The experimental results obtained are in agreement with the topological model as well.     

Alterations of the pituitary-ovarian axis in dogs with a functional granulosa cell tumor

Information on the pituitary-ovarian axis in dogs with a granulosa cell tumor (GCT) is lacking. Therefore, we investigated the plasma concentrations of luteinizing hormone (LH) and estradiol before and after gonadotropin-releasing hormone (GnRH) administration in seven bitches with a functional GCT (GCT-total), of which three were intact (GCT-intact) and four had remnant ovarian tissue (GCT-ROT). The results of the GnRH stimulation test were compared with those in six anestrous and six ovariectomized bitches. The most noteworthy results were as follows. The basal plasma LH concentrations of the GCT-ROT bitches were higher (P < 0.05) than those of the anestrous bitches. The increment in the plasma LH concentration after GnRH administration in the GCT-total bitches was lower (P < 0.001) than the increments in both the anestrous and ovariectomized bitches. The basal plasma estradiol concentrations in the GCT-total bitches were higher (P < 0.001) than those in the anestrous and ovariectomized bitches. In conclusion, the pituitary-ovarian axis is affected in bitches with a functional GCT and is characterized by relatively high plasma LH concentrations in GCT-ROT bitches and a subnormal LH response to GnRH stimulation in all GCT bitches compared with those in anestrous and ovariectomized bitches. The relatively high proportion of dogs with remnant ovarian tissue among the GCT bitches suggests a pathogenetic role for elevated gonadotropin secretion in the pathogenesis of GCT.     

Changing single side-chains can greatly enhance the resistance of a membrane protein to irreversible inactivation.

The thermal inactivation rates of a set of 20 cysteine-substituted variants of the integral membrane protein diacylglycerol kinase were measured. Two of the mutations, I53C and I70C, were found to significantly prolong the half-life of the enzyme in detergent solution. By combining the single mutants to create a double mutant, I53C/I70C, the half-life of the enzyme was improved from less than a minute at 70 degrees C to 51 minutes. These results demonstrate that individual side-chain substitutions can significantly improve the properties of membrane proteins in detergent solution.     

Application of the dual-micropipet technique to the measurement of tumor cell locomotion

The objective of this work was to characterize tumor cell locomotion in response to chemotactic stimulation using a dual-micropipet assay. The assay involves two micropipets. An individual A2058 human melanoma cell was retained, without pressure gradient, in a pipet of approximately 14 micrometers i.d. A solution of type IV collagen, chosen as the chemotactic source, was placed in another pipet (approximately 10 micrometers o.d.) with zero pressure at the pipet tip. The smaller pipet was then inserted into the larger one containing the melanoma cell. The initial chemoattractant concentration (C0) and the distance between the tip of the small pipet and the cell surface (delta) provided a gradient (C0/delta) for tumor cell locomotion toward stimulation. This novel assay provides a direct measure of cell movement: cyclic pseudopod protrusion (Lp) and subsequent cell locomotion (Lc). The influences of different adhesion substrates on cell locomotion were also studied. The peak length in Lp precedes the highest locomotion velocity (dLc/dt) by an apparent lag time. C0/delta influences pseudopod protrusion frequency (fp) and dLc/dt, but not significantly on Lp. Substrate adhesions affect dLc/dt, but apparently not Lp or fp. In conclusion, pseudopod protrusion and substrate adhesion are two necessary but mutually independent factors in tumor cell locomotion. dLc/dt correlates with changes in C0/delta, which is in significant correlation with fp but not Lp.