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Avner Friedman, Ph.D.
Faculty and Staff
Avner Friedman, Ph.D.
Avner Friedman, Ph.D.
Email:
friedman.158@osu.edu
Phone:
(614) 292 - 5795
Position:
Professor
Department:
Mathematical and Physical Sciences
Specialization:
Partial Differential Equations
Degree:
Mathematics
Webpage:
http://www.math.ohio-state.edu/~afriedman/ Additional Information:
Currently working on several projects: Airborne diseases (tuberculosis, Anthrax, drug resistance with infection in hospitas (e.g., MRSA), patterns of metastasis in glioblastoma, and chronic wounds. Collaborators: Larry Schlesinger, Chandan Sen, Chiocca group, and MBI postdoctoral fellows (Judy Day, Yangjin Kim, ziadi Najat, and Chuan Xue). Recent Grants submitted:
- NSF-NIGMS, Project on Ischemic Wounds ($750,000)
- NSF Project: Developing a Professional Master Degree in Mathematics (beginning with Mathematicsal Biology) ($700,000)
Publications:
- (with J. Day and L. Schlesinger) Modeling the immune rheostat of macrophages in the lung in response to infection, PNAS, Vol. 106 (2009), 11246-11251.
- (with A. Matzavinos, C. Y. Kao, J. E. Green, A. Sutradhar, M. Miller) Modeling oxygen transport in surgical tissue, PNAS, Vol 106 (2009), 12091-12096.
- (with Y. Kim, S. Lawler, M. O. Nowicki and E. A. Chiocca) A mathematical model of brain tumor: Pattern formation of glioma cells outside the tumor spheroid core, J. Theoretical Biology, Vol. 260 (2009) 359-371.
- Free boundary value problems associated with multiscale tumor models, Mathematical Modeling of Natural Phenomena, Vol. 4 (2009), 134-155.
- (with C. Xue and C. Sen) A Mathematical model of ischemic cutaneous wounds, PNAS, Vol 106 (2009) 16782-16787.
- (with B. Dembele and A. A. Yakubu) Malaria model with periodic mosquito birth and death rate, J. Biological Dynamics, Vol. 3 (2009), 430-445.
- (with J. Day and L. S. Schlesinger) Tuberculosis research: Going Forward with powerful “Translation System Biology” approach, Tuberculosis, Vol. 90 (2010), 7-8.
- (with B. Hu and C-Y Kao) Cell cycle control at the first restriction point and its effect on tissue growth, J. Math. Biology, accepted.
- (with C. Y. Kao and C. W. Shih) Asymptotic phases in a cell differentian model, J. Diff. Eqs., in press.
- (with Y. Kim, J. Wallace, F. Li and M. Ostrowski) Interaction of tumor with its microenvironment, J. Math. Biology, accepted.
- (with Y. Kim) Interaction of tumor with its microenironment: A mathematical model, Bull. Math Biology, accepted.
- (with B. Dembele and A. A. Yakubu) Mathematical model for optimal use of sulfadoxine pyrimethane as a temporary malaria vaccine, Bull. Math. Biology, accepted.
- What is mathematical biology and how useful is it?, Notices AMS, accepted.
- (with S. Biswas, S. Roy, J. Banerjee, S-R. Hussain, S. Khanna, G. Meenakshisundaram, P. Kuppusamy, and C. Sen) Hypoxia inducible microrna 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds, PNAS, accepted.
- (with B. Hu and C. Xue) Analysis of a mathematical model of ischemic cutaneous wounds, SIAM J. Math. Anal., submitted.
- (with X. Chen) Asymptotic analysis for the narrow escape problem, SIAM J. Math. Anal., submitted.
- (with Y. Kim) Tumor cells-proliferation and migration under the influence of their microenvironment, Math Bioscience & Engineering, submitted.
- (with C. Xue) A mathematical model for chronic wounds, Math. Bioscience & Engineering, submitted.
- (with P. Budu-Grajdeanu, R. Schugart, D. J. Birmingham, and B. H. Rovin) Mathematical framework for human SLE Nephritis: disease dynamics and urine biomarkers, Theoretical Biology and Medical Modeling, submitted.
- (with N. Ziadi & K. Boushaba) A model of drug resistance with infection by health care workers, J. Theoretical Biology, submitted.
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