PUBLICATIONS
ON THE SYMMETRICAL NETWORK THEORY OF IMMUNE SYSTEM REGULATION

Hoffmann, G.W., " A Theory of Regulation and Self-Nonself
Discrimination in an Immune Network",

*European Journal of Immunology*,

**5**,
638-647 (1975).

Summary.
Hoffmann, G.W., "Incorporation of a Non-specific T Cell
Dependent Helper Factor into a Network Theory of the Regulation of the
Immune Response", in

*"Theoretical Immunology",* G.I. Bell, A.S. Perelson
and G.H. Pimbley (eds.) Marcel Dekker, N.Y., (1978) pp. 571-602.

Summary

Hoffmann, G.W., "Mathematical Modelling of a Network Theory
of Self- Regulation in the Immune System" in *Proceedings of the 1978
IEEE Conference on Decision and Control. *p. 740-745, IEEE Control Systems
Society, 1978.

Hoffmann, G.W., "A Mathematical Model of the Stable States
of a Network Theory of Self-Regulation" in

*Lecture Notes in Biomathematics,
*vol.

**32**,
(C. Bruni et al., eds.) pp. 239-257 Springer-Verlag (1979).

Hoffmann, G.W., "Das Immunsystem", *Chemie in Unsere Zeit
***13**,
1-10 (1979).

Hoffmann,
G.W., "On Network Theory and H-2 Restriction", in

*Contemporary Topics
in Immunobiology, *(N. Warner, Ed.), vol.

**11**, 185-226 (1980).

Summary

Hoffmann, G.W., "On the `Intelligence' of Antigen-specific
Receptors from a Network Point of View" in *"The Strategy of Immune Regulation"*,
E. Sercarz and A.J. Cunningham, Eds. Academic Press, New York, 1980, pp.
401-403.

Hoffmann, G.W., "On Network Theory, Ly Phenotypes and
Connectivity" in *"The Immune System, Festschrift in Honour of Niels
Kaj Jerne, on the Occasion of his 70th Birthday" *(I. Lefkovits and
C. Steinberg, Eds.) Karger, Basel, 1981, vol. I, pp. 28-34.

Gunther, N. and Hoffmann, G.W. "Qualitative Dynamics of
a Network Model of Regulation of the Immune System: A Rationale for the
IgM to IgG Switch",

*Journal of Theoretical Biology,* **94**, 815-855
(1982).

Summary
Hoffmann, G.W. "The Application of Stability Criteria
in Evaluating Network Regulation Models", in Regulation of Immune Response
Dynamics, C. DeLisi and J. Hiernaux (Eds.), CRC Press 1982, pp. 137-162.

Summary

Hoffmann, G.W. and Cooper-Willis, A. "Symmetry, Complexity
and Stability in Immune System Network Theory".In *Mathematical Modelling
in Immunology and Medicine,* G.I. Marchuk and L.N. Belykh, (eds.), North
Holland Press, Amsterdam, 1983, pp. 31-42.

Cooper-Willis, A. and Hoffmann, G.W. "Symmetry of Effector
Function in the Immune System Network", *Mol. Immunol.,* **20**,
(8), 865-870 (1983). Summary

Singhai, R., Hoffmann, G.W., and Levy, J.G., "Abrogation
and Reconstitution of Non-Responsiveness: A Correlation with High Network
Connectivity" *Eur. J. Immunol. ***15**, 526-529, 1985.

Hoffmann, G.W., Levy J.G. and Nepom, G.T. "On Paradoxes
and Progress in Science", Preface to *Paradoxes in Immunology, *(Hoffmann,
G.W., Levy, J.G. and Nepom, G.T., Editors), CRC Press, Boca Raton, Florida,
1986

Hoffmann, G.W. "The Smell of H-2", Chapter 9 in *"Paradoxes
in Immunology",
*Hoffmann, G.W., Levy, J.G., and Nepom, G.T. (Eds.)
CRC Press, Boca Raton, Florida, pp. 111-114, 1986.

Hoffmann, G.W. and Kilburn, D.G. "Does Network Theory Tell
Us What to Expect?", Commentary on "Idiotypic Networks in Tumor Immunity",
by G. Nepom and K. A. Nelson, in *"Paradoxes in Immunology", *Hoffmann,
G.W., Levy, J.G. and Nepom, G.T. (Eds.) CRC Press, Boca Raton, Florida,
pp. 184-185, 1986.

Hoffmann, G.W. "Another Paradox", Commentary on "T Cell
Regulation Without Clonal Selection by Antigen?Polygamous Suppressor Cells
and Monogamous Helper Cells at Higher Frequencies" by I. Melchers and K.
Eichmann. In
*"Paradoxes in Immunology",* Hoffmann, G.W., Levy, J.G.,
and Nepom, G.T. (Eds.) CRC Press, Boca Raton, Florida, pp. 149-150, 1986.

Hoffmann, G.W. and Hraba, T., "The Structure of Mathematical
Immunology" in *"Immunology and Epidemiology" *(G.W. Hoffmann and
T. Hraba, Editors) in the series "Lecture Notes in Biomathematics" (S.
Levin, Series editor), vol. 65, pp. 2-6 Springer-Verlag (1986).

Hoffmann,
G. W."On I-J, a network centre pole and AIDS.In

*"The Semiotics of Cellular
Communication in the Immune System"* (E. Sercarz, F. Celada, N. A. Mitchison
and T. Tada, Eds.) Springer-Verlag, New York, 1988, pp. 257-271.

Summary
Hoffmann, G. W., Kion, T. A., Forsyth, R. B., Soga, K.
G. and Cooper-Willis, A. "The N-Dimensional Network".In

*"Theoretical
Immunology, Part Two",* A. S. Perelson, Ed., Santa Fe Institute Series
"Studies in the Science of Complexity", Addison Wesley Publishing Company,
291-319.

Summary

Grant, M., Kion, T. A., Forsyth, R. B., and Hoffmann,
G. W. "IDS, aIDS and AIDS" in *"Cellular Basis of Immune Modulation",*
J. G. Kaplan and D. R. Green, eds., 1989, A. R. Liss, Inc., New York, pp.
481-484.

Hoffmann, G. W., Grant M. and Kion, T. A. "Is AIDS Provoked
Autoimmunity?"*Canadian Research,*** ****21**, No. 6, pp. 16-23,
Sept. 1988.

Grant, M. D., Weaver, M. S., Tsoukas, C., and Hoffmann,
G. W.: "Distribution of Antibodies against Denatured Collagen in AIDS Risk
Groups and Homosexual AIDS Patients Suggests a Link between Autoimmunity
and the Immunopathogenesis of AIDS" *J. Immunol.,* **144**, 1241-1250,
1990.

Forsyth, R. B. and Hoffmann, G. W. "A study of auto-antiidiotypes
to BSA,"

*J. Immunol., ***145**, 215-223, 1990.

Summary

Hoffmann, G. W. "The Immune System: A neglected challenge
for network theorists."*Proc. of IEEE International Symposium on Circuits
and Systems*, Portland Oregon, 1989.(invited symposium paper), 1620-1623.

Hoffmann, G. W. and Grant, M. D. "When HIV Meets the Immune
System: Network Theory, Alloimmunity, Autoimmunity and AIDS."in *"Mathematical
and Statistical Approaches to AIDS Epidemiology,"* C. Castillo-Chavez,
Ed., in *Lecture Notes in Biomathematics,* vol. **83**, Springer-Verlag,
1989, pp. 386-405.

Hoffmann, G. W. and Grant, M. D. "On AIDS, alloimmunity
and autoimmunity", in *"Idiotype Networks in Biology and Medicine",*
A. D. M. E. Osterhaus and F. G. C. M. UytdeHaag, Eds., Elsevier, Amsterdam,
1990, pp. 295-299.

Hoffmann, G. W., Kion, T. A. and Grant, M. D. "An Idiotypic
Network Model of AIDS Immunopathogenesis"

*Proc. Nat. Acad. Sci. (USA)*,

**88**,
3060-3064 (1991).

Summary
Hoffmann, G. W. and Tufaro, F."Serological Distance Coefficients",

*Immunol.
Letters,***22**, 83-90, 1989.

Summary

G. W. Hoffmann "A Response to Duesberg with Reference
to an Idiotypic Network Model of AIDS Immunopathogenesis. *Res. in Immunol.,***141**,
701-709, 1990.

Kion,
T. A. and Hoffmann, G. W. "Anti-HIV and anti-anti-MHC Antibodies in Alloimmune
and Autoimmune Mice",

*Science, ***253**, 1138-1140, 1991.

Summary

Hoffmann, G. W."On specific T cell factors".*Immunol.
Today, ***12**, 465-466, 1991.

Hoffmann,
G. W. and Kion, T. A. "On second symmetry and AIDS" in*"Theoretical and
Experimental Insights into Immunology" , *A. S. Perelson and G. Weisbuch,
Eds., 1992, Springer Verlag, Heidelberg*, *pp. 353-364.

Süsal, C., Hoffmann, G. W., Daniel, V., Grant, M.
D. and Opelz, G. "Complementarities and Network Interactions in AIDS".

*J.
Autoimmunity*,

**6**, 601-610, 1993.

Summary

Hoffmann, G. W.
and Kion, T. A. "On allogeneic lymphocytes as cofactors in AIDS pathogenesis
and the concept of co-selection."In *"New Concepts in AIDS Pathogenesis"*,
L. Montagnier and Marie-Lise Gougeon, Eds., Marcel Dekker, New York, 1993,
pp. 273-290.

Hoffmann, G. W. "Coselection in Immune Network Theory
and in AIDS Pathogenesis".*Immunology and Cell Biology,* **72, **338-346,
1994.

Royer, S. T., Mathewson, D. J. and Hoffmann, G. W. "On
network distance coefficients and network dynamics".

*J. Biol. Systems,*1995;

**3,**415-427.

Summary
Hoffmann, G. W. "The T Cell Receptor and AIDS Pathogenesis"

*Scandinavian
J. Immunol.,***41**, 331-337, 1995.

Summary

Grant, M. D., Whaley, M. D., Mayne, A., Hoffmann, G. W.
and Ansari A. A. “Similar abnormalities of idiotype and immunoglobulin
light chain expression and of cell-mediated cytotoxicity in HIV-infected
humans and simian immunodeficiency virus (SIV)-infected rhesus macaques”.*Immunology
and Cell Biology,***74**, 38-44, 1996.

Abdulaziz Al-Fahim and Geoffrey W. Hoffmann.Second
symmetry in the Balb/c-C57BL/6 (B6) system, and anti-anti-self antibodies
in old B6 mice.

*Immunology and Cell Biology,***76**, 27-33, 1998.

Summary