Numerical modeling of brain injuries

On the Role of a Nonlinear Stress-Strain Relation in Brain Trauma,
Proceedings of the International Conference on Bioinformatics and Computational Biology at the World Congress in Computer Science, Computer Engineering, and Applied Computing, Las Vegas NV, July 2008, CSREA Press 2008, Vol. 1, 265-271, with M . Burtscher and R. Szczyrba. [pdf]

Computational Modeling of Brain Dynamics During Abrupt Repetitive Head Motions,
Proceedings of the International Conference on Modeling, Simulation and Visualization Methods at the World Congress in Computer Science, Computer Engineering, and Applied Computing, Las Vegas NV, June 2007, CSREA Press 2007, 143-149, with M . Burtscher and R. Szczyrba. [pdf]

A Proposed New Brain Injury Tolerance Criterion Based on the Exchange of Energy Between the Skull and the Brain
Proceedings of the International Bioengineering Conference of the American Society of Mechanical Engineers, Keystone CO, June 2007, SBC2007-171967, with M. Burtscher and R. Szczyrba. [pdf]

Computational Modeling and Visualization of Traumatic Brain Injuries,
Proceedings of the International Conference on Modeling, Simulation and Visualization Methods at the World Congress in Computer Science, Computer Engineering, and Applied Computing, Las Vegas NV, June 2006, CSREA Press 2006, 101-107, with M. Burtscher. [pdf]

On the Role of the Brain's Geometry in Closed Head Injuries,
Proceedings of the International Bioengineering Conference of the American Society of Mechanical Engineers, Vail CO, June 2005, with M. Burtscher. [pdf]

Numerical Modeling of Brain Dynamics in Traumatic Situations - Impulsive Translations,
Proceeding of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, Las Vegas NV, June 2005, CSREA Press 2005, 205-211, with M. Burtscher. [pdf]

On the Role of Ventricles in Diffuse Axonal Injuries,
Proceedings of the International Bioengineering Conference of the American Society of Mechanical Engineers, Key Biscayne FL, June 2003, with M. Burtscher. [pdf].

Numerical Simulations of Closed Head Injuries,
Proceeding of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, Las Vegas NV, June 2002, CSREA Press 2002, Vol. 2, 486-492, with C. Cotter and P. Smolarkiewicz.

A Viscoelastic Fluid Model for Brain Injuries,
International Journal for Numerical Methods in Fluids 40 (2002), 303-311, with C. Cotter and P. Smolarkiewicz [pdf].

A Viscoelastic Model for Brain Injuries,
Proceedings of the International Conference on Fluid Dynamics, Oxford University, UK, March 2001, ICFD, Oxford, 281-288, with C. Cotter and P. Smolarkiewicz.

On Mechanisms of Diffuse Axonal Injuries,
Proceedings of the International Bioengineering Conference of the American Society of Mechanical Engineers, Snowbird UT, June/July 2001, ASME, BED - 50, 315-316, with C. Cotter and P. Smolarkiewicz [pdf].

A Nonlinear Model for Brain Injuries,
Proceeding of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, Las Vegas NV, June 2000, CSREA Press 2000, Vol. 2, 443-449,  with C. Cotter and P. Smolarkiewicz.

Group theory and its applications

On the Realizations of Representations for Group Extensions,
Reports on Mathematical Physics 32 (1993), 355-366, with C. Cotter.

Group Extensions and Unification Theories,
in "Classical and Quantum Systems, Foundations and Symmetries", World Scientific 1993, 278-281,  with C. Cotter.

Automorphisms and General Charge Conjugation,
Journal in Mathematical Physics 31 (1990), 2560-2566, with G. Cieciura.

On the Advantages of SO(8),
Nuclear Physics B 6 (1989), 440-442.

Weyl Group and Tensor Operators for Hadron Type SU(n)-representations,
Journal of Mathematical Physics 28 (1987), 2128-2141, with G. Cieciura.

Physical Relations and Weyl Group,
Journal of Mathematical Physics 28 (1987), 2115-2127, with G. Cieciura.

Tensor Operators for Reductive Lie Groups and Algebras,
Habilitation Dissertation, Warsaw University (1983).

On Some Tensor Operators for Unitary Group,
in "Operator Algebras and Group Representations", Pitman 1982, Vol. 2, 182-189.

On the Mass Operator for Multiquark Systems,
Journal of Mathematical Physics 22 (1981), 1289-1298.

The Generalization of SU(3)-mass Formula for Arbitrary Reductive Lie Algebras,
Letters in Mathematical Physics 5 (1981),449-457.

On the Calculations of Multiplicities for Representations of SU(n),
Letters in Mathematical Physics 4 (1980), 249-256.

Infinite Unitary Group, Quarks, Unitary Symmetry,
Lecture Notes in Physics 94 (1979), 535-536.

Generalized Number Operator in Fock Representations,
Lecture Notes in Physics 79 (1978), 540-542.

On the Uniqueness of Number Operator of Particles for Certain Symmetries,
Bulletin of Polish Academy of Sciences, Mathematics, XXV 4 (1977), 409-413, with A. Strasburger.

On the Group Theoretical Treatment of the Operator of Particles,
in "Group Theoretical Methods in Physics", Academic Press 1977, 501-506, with A. Strasburger.

An Axiomatic Approach to the Number Operator and Its Applications to Parastatistics,
Reports on Mathematical Physics 7 (1975), 251-274 (Ph.D. Dissertation).

On the Multiplicities of Irreducible Representations of U(n) in Some Particular Cases,
Reports on Mathematical Physics 6 (1974),199-212 (Ph.D. Dissertation).

A Connection Between the Axiom of Locality and Lorentz Invariance in the Axiomatic Field Theory,
Master's thesis, Warsaw University (1969).

Mathematics education

Virtual and Hands-on Experiments in Static – Balance Properties of Asymmetrical Bodies
in "Informal Learning and Public Understanding of Physics - Book of Selected Contributions of the Third International GIREP  Seminar", Ljubljana, Slovenia, September 2005, 244-249, with T. Ignatova and A. Kazachkov.

Computers and 3-D Perception,
Mathematics & Technology in the Classroom
A Moderating Voice  4, No.1 (1997) 2-8.

Teaching to Love Wisdom,
in "Mathematicians and Education Reform Network 1989-1990, Conference Board of the Mathematical Sciences, Issues in Mathematics Education", Vol. 2, AMS & MAA  (1991), 137-144, with C. Cotter.

Lecture Notes in Real Analysis,
compiled and edited by T. Shapiro, Warsaw School of Economics (SGPIS), Warsaw 1974, second extended edition 1977 (in Polish).
 


Igor Szczyrba (970) 351-2011 igor.szczyrba@unco.edu
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