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3. An Exactly Soluble Model of Directed Polymers with Multiple Phase Transitions

Author

Forgacs, G. and Ziegler, K.

Subjects
Condensed Matter
Abstract

Polymer chains with hard-core interaction on a two-dimensional lattice are modeled by directed random walks. Two models, one with intersecting walks (IW) and another with non-intersecting walks (NIW) are presented, solved and compared. The exact solution of the two models, based on a representation using Grassmann variables, leads, surprisingly, to the same analytic expression for the polymer density and identical phase diagrams. There are three different phases as a function of hopping probability and single site monomer occupancy, with a transition from the dense polymer system to a polymer liquid (A) and a transition from the liquid to an empty lattice (B). Within the liquid phase there exists a self-dual line with peculiar properties. The derivative of polymer density with respect to the single site monomer occupancy diverges at transitions A and B, but is smooth across and along the self-dual line. The density-density correlation function along the direction $x$, perpendicular to the axis of directedness has a power law decay 1/$x^2$ in the entire liquid phase, in both models. The difference between the two models shows up only in the behavior of the correlation function along the self-dual line: it decays exponentially in the IW model and as 1/$x^4$ in the NIW model., Comment: 8 pages, plain-TeX, figures available upon request

Published
1995
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7. Multi-model Simulations of Chicken Limb Morphogenesis

Author

Chaturvedi, R., Izaguirre, J. A., Huang, C., Cickovski, T., Virtue, P., Thomas, G., Forgacs, G., Alber, M., Hentschel, G., Newman, S. A., Glazier, J. A., Goos, G., editor, Hartmanis, J., editor, van Leeuwen, J., editor, Sloot, Peter M. A., editor, Abramson, David, editor, Bogdanov, Alexander V., editor, Gorbachev, Yuriy E., editor, Dongarra, Jack J., editor, and Zomaya, Albert Y., editor

Published
2003
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12. Self-assemblying of tissue spheroids on polymeric membranes

Author

Messina A., Morelli S., Forgacs G., Barbieri G., Drioli E., and De Bartolo L.

Subjects
fusion, properties, tissue engineering, embryonic structures, polymeric membranes, self-assembly, tissue spheroids
Abstract

In this study multicellular tissue spheroids were fabricated on polymeric membranes in order to accelerate the fusion process and tissue formation. To this purpose tissue spheroids composed of three different cell types, myoblasts, fibroblasts and neural cells were formed and cultured on agarose and membranes of polycaprolactone (PCL) and chitosan (CHT). Membranes prepared by phase inversion technique display different physico-chemical, mechanical and transport properties, which can affect the fusion process. Membranes accelerated the fusion process of a pair of spheroids with respect to the inert substrate. In this process a critical role is played by the membrane properties especially by mechanical characteristics and the oxygen and carbon dioxide mass transfer. The rate of fusion was quantified and found to be similar for fibroblast, myoblast and neural tissue spheroids on membranes, which completed the fusion within 3 days. These spheroids underwent a faster fusion and maturation on PCL membrane in comparison with agarose, the rate of fusion being proportional to the value of oxygen and carbon dioxide permeances and elastic characteristics. Consequently, tissue spheroids on the membranes expressed high biological activity in terms of oxygen uptake making them more suitable as building blocks in the fabrication of tissues and organs.

Published
2017
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13. Adsorption–desorption transition of polymer chains interacting with surfaces.

Author

Forgacs, G., Privman, V., and Frisch, H. L.

Subjects
*ADSORPTION (Chemistry), *MONOMERS
Abstract

We report exact results for two and three dimensional directed models of polymer chain adsorption–desorption transition in the presence of attracting substrate. A number of properties of this transition are evaluated explicitly. These include the phase diagram, the adsorption fraction and the monomer-density profile. Our results are obtained by a novel application of the transfer matrix method particularly suitable for studies of polymer chain conformations. [ABSTRACT FROM AUTHOR]

Published
1989
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17. Cellulose and Fiber Science Developments: A World View

Author

JETT C. ARTHUR, KEI MATSUZAKI, CRISTOFOR I. SIMIONESCU, SHOZO IMOTO, JULIO AMADOR, H. G. HIGGINS, O. L. FORGACS, G. E. STYAN, LARS NORDMAN, JUNZO NAKANO, INGVAR JULLANDER, HEINRICH ZOLLINGER, D. M. WILES, RICHARD A. SCHUTZ, WAICHIRO TSUJI

Published
1977

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