Dr. Frank Nani
Professor in Mathematics
Office: Science & Technology 420
Phone: (910) 672-1793
Email: fnani@uncfsu.edu
Personal Homepage:
BIOGRAPHY
November 1998, PhD. in Applied Mathematics
University of Alberta, Canada Department of Mathematical Sciences. Dissertation Title: Mathematical Models of Cancer Chemotherapy and Immunotherapy. Supervisor: Dr. H.I. Freedman
January 1986-September 1987, Graduate Student and Alberta Cancer Board Scholar
Faculty of Medicine Division of Oncology, Cross Cancer Institute, University of Alberta.
Research Title: Mathematical Modeling of the the processes of Radio-protection and Radio-Sensitization during Cancer Radiotherapy. Supervisors: Drs. Cameron Koch, Alan Chapman, ALA Fields (Later transferred to the Department of Mathematics, University of Alberta)
November 1985 M.Sc (Theoretical Physics)
Theoretical Physics Institute, University of Alberta. Dissertation Title: Generalized Solutions to the Einstein Gravitational Field Equations.Supervisors: Dr. Garry Ludwig and Dr. Werhner Israel
June 1980 B.Sc (Honors)
Department of Physics. University of Science and Technology, Kumasi Ghana.
Dissertation Title: Theoretical Analyses and Computation of Lattice Dynamical Properties of Transition Metals and Copper-Gold Alloy. Supervisors: Dr. Kershaw Singh
TEACHING
Ordinary Differential Equations: Math 331, Math 431, Math 571
Partial Differential Equations: Math 425,Math 671
Complex Analysis: Math 541, Math 641
Real Analysis: Math 412, Math 461
Linear Algebra: Math 251, Math 507, Math 611
Mathematical Modeling: Math420 Calculus Math 142, Math 241, Math 242
College Algebra and Pre-College Algebra: Math 123, Math 121
Pre-Calculus: Math 131
RESEARCH INTERESTS
Mathematical Medicine: Axiomatization of Clinical Medicine, Computational Clinical Immunology, Computational Cancer Chemo./,Immuno./ Radio. Therapy, Digital Cancer Chemotherapy, Modeling Dynamics of HIV-1 AIDS Pathophysiology, Mathematical Principles of HAART Therapy of AIDS, Modeling, Analyses of Pathophysiology of Type2 Diabetes Derivation of Cure Criteria for Cancer, AIDS, and Diabetes Mathematical Principles of Evidence Based Medicine heoretical Medicine, Statistical Basis of Evidence Based Medicine (EBM)
Mathematical Physics: Generalized Hilbert Space Solutions to Einstein's Equations Relativistic Cosmology, Solving Einstein Field Equations at Null Infinity, Black-holes and Gravitational Collapse
Mathematical Principles of Counter Multi-Insurgency Warfare
Theoretical Physics: Lattice Dynamics of Transition Metals using De Launey Angular Force Mode (DAF)l.
Theoretical Applied Mathematics Ordinary Differential Equations and solutions in Banach Space, Functional Differential Equations in Banach Spaces, Mathematical and Computer Modeling, Optimal Control Theory
Mathematical Finance
SELECTED PUBLICATIONS
(1).Nani, F. and Ludwig, G.(1985). Generalized Newman-Unti Expansions: Solutions to Einstein Gravitational Field Equations. Physics Letters, 1985, vol. 113A pp 11-16
(2)Nani, F. and Oguztorelli, N. M. (1992). Modeling and Simulation of Drug Delivery to the Central Nervous System. Biomedical Modeling and Simulations IMACS, 1992, pp 351-367
(3)Nani, F. and Oguztorelli, N. M. (1994) Modeling and Simulation of Rosenberg-Type Adoptive Cellular Immunotherapy. IMA Journal of Mathematics and Applied Medicine, vol. 11 pp 104-147
(4)Nani, F. and Oguztorelli, N. M.(1999) Modeling and Simulation of Chemotherapy of Hematological and Gynecological Cancers. IMA Journal of Mathematics and Applied Medicine, vol. 16 pp 39-91
(5)Nani F. Freedman. H.I. (2002) A Mathematical Model for Cancer treatment by Immunotherapy Mathematical Biosciences 163 pp159-199
(6)Nani, F., Pinho, S., and Freedman, H. I. (2002) A Chemotherapy Model for the Treatment of Cancer with Metastasis .Mathematical and Computer Modeling. Modeling, 2002, vol. 36 pp 773-803
(7)Nani, F. and Jin, M. (2010) Mathematical Modeling and Simulation of Latency Phase HIV-1 Dynamics. International Conference on Bioinformatics and Computational Biology BIOCOMP10 pp428-434.
(8)Nani, F. and Jin, M. (2011) Criteria for Annihilation of HIV-1 During HAART. International Conference on Bioinformatics and Computational Biology . BIOCOMP11 pp679-685.
(9)Nani F and Jin M. (2011) Criteria for Annihilation of HIV-1 During HAART. International Conference on Bioinformatics and Computational Biology .BIOCOMP11 pp679-685.
(10).Nani, F. and Jin ,M.(2011) Dynamics of HIV-1 Associated Kaposi Sarcoma During HAART.International Conference on Bioinformatics and Computational Biology BIOCOMP11 pp783-786.
(11)Nani, F. and Jin, M.(2011) Computer Simulation of a Mathematical Model of HAART Therapy for HIV-1 AIDS CISP/BME1 2011 Conference Proceedings pp1846-1853. c IEEE 2011 9781424493500/11.
(12)Nani, F. and Jin ,M.(2014). Theoretical Analysis and Simulation of Acute and Chronic Phase HIV-1 Dynamics . British Journal of Mathematics and Computer Science pp1450-1479.
(13)Nani, .F and Jin, M.(2014) Numerical Algorithm for Solving a Generalized Cancer Chemotherapy Problem. Int'l Conf. Modelling Sim. And Vis. Methods. (MSV(14)) pp85-91 Copyright CSREA Press ISBN 160132-281-X.
(14)Nani, F. and Jin ,M.(2015) Generalized Theoretical Criteria for Annihilation of HIV-1 virions during. HAART (2015 ) British Journal of Mathematics and Computer Science 5(2) pp262-299 ISSN.
(15)Nani, .F and Jin,M.(2015) Mathematical Modeling and Simulations of the Pathophysiology of Type-2 Diabetes Mellitus. CISP/BME1 2015 Conference Proceedings . pp296-300. c IEEE.
(16)Nani, F. and Jin, M. (2015).Analysis of Dynamics of HIV-1 Associated Kaposi Sarcoma during HAART and ACI. (peer-reviewed/ in press. British Journal of Mathematics and Computer Science.