Abstract

Our research efforts will center on the use of a variety of mathematical techniques to solve and analyze the complex difference and differential equations that arise in the modeling of systems in biology, ecology and physiology. Particular systems of interest include: * periodic diseases * the renal concentrating mechanism * biochemical oscillators * reaction-advection processes * long-term fluctuations of populations * nonlinear models of the DNA molecule * drug distribution (compartmental models) Exact, approximate and numerical solutions will be obtained. The mathematical techniques to be used include perturbation (both regular and singular) and asymptotic series, harmonic balance procedures, phase-space analysis, the 'theory' of chaotic systems, and numerical integration.

  Funding Agency

Agency
National Institute of Health (NIH)
Institute
National Institute of General Medical Sciences (NIGMS)
Type
Minority Biomedical Research Support - MBRS (S06)
Project #
5S06GM008247-09
Application #
5211983
Study Section
Project Start
Project End
Budget Start
Budget End
Support Year
9
Fiscal Year
1996
Total Cost
Indirect Cost

  Publications

Ifere, Godwin O; Equan, Anita; Gordon, Kereen et al. (2010) Cholesterol and phytosterols differentially regulate the expression of caveolin 1 and a downstream prostate cell growth-suppressor gene. Cancer Epidemiol 34:461-71
Mariam, Yitbarek H; Musin, Ryza N (2008) Transition from moderate to strong hydrogen bonds: its identification and physical bases in the case of O-H...O intramolecular hydrogen bonds. J Phys Chem A 112:134-45
Kimbro, K Sean; Duschene, Kaitlin; Willard, Margeret et al. (2008) A novel gene STYK1/NOK is upregulated in estrogen receptor-alpha negative estrogen receptor-beta positive breast cancer cells following estrogen treatment. Mol Biol Rep 35:23-7
Chu, Qinghui; Pang, Yi (2004) Vibronic structures in the electronic spectra of oligo(phenylene ethynylene): effect of m-phenylene to the optical properties of poly(m-phenylene ethynylene). Spectrochim Acta A Mol Biomol Spectrosc 60:1459-67
Sannigrahi, Biswajit; McGeady, Paul; Khan, Ishrat M (2004) Helical poly(3-methyl-4-vinylpyridine)/amino acid complexes: preparation, characterization, and biocompatibility. Macromol Biosci 4:999-1007
Liang, Sidney; Bu, Xiu R (2002) Tertiary pentyl groups enhance salen titanium catalyst for highly enantioselective trimethylsilylcyanation of aldehydes. J Org Chem 67:2702-4
Vanderveer, Donald; Colon, Marisabel Lebron; Bu, Xiu R (2002) Crystal structure of a chiral Ni complex: (R,R)-N,N'-bis(3-t-butylsalicylidene)-1,2-cyclohexanediaminonickel(II). Anal Sci 18:1283-4
Musey, Paul I; Ibim, Sobrasua M; Talukder, Niranjan K (2002) Development of artificial blood vessels: seeding and proliferation characteristics of endothelial and smooth muscle cells on biodegradable membranes. Ann N Y Acad Sci 961:279-83
Chiang, C F; Okou, D T; Griffin, T B et al. (2001) Green fluorescent protein rendered susceptible to proteolysis: positions for protease-sensitive insertions. Arch Biochem Biophys 394:229-35
Johnson, K P; Rowe, G C; Jackson, B A et al. (2001) Novel antineoplastic isochalcones inhibit the expression of cyclooxygenase 1,2 and EGF in human prostate cancer cell line LNCaP. Cell Mol Biol (Noisy-le-grand) 47:1039-45

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