Dr. Sophia Maggelakis

Selected Publications

“The Effect of Bacteria on Epidermal Wound Healing,” Mathematical Modeling Natural Phenomena, Vol. 3,  No. 1, 2008, pp. 1-3, with Ephraim Agyingi and David Ross.

“Modeling the Role of Angiogenesis in Epidermal Wound Healing,”  Special Issue of Discrete and Continuous Dynamical Systems, Volume 4, No. 1, 2003.

“A Mathematical Model of Tissue Replacement During Epidermal Wound Healing,” Applied Mathematical Modelling, 27, pp. 189-196, 2003.

“Modeling Techniques in Epidermal Wound Healing,” an Invited Chapter, Computational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems, Kluwer Academic Publishers, Volume 2, 2002, with A. E. Savakis.

 “Modeling the Effects of Angiogenic Factors on Tumor-related Angiogenesis and Vascularization,” an Invited Chapter in Mathematical Models in Medical and Health Science, Vanderbilt University Press, pp.247, 1999.

“A Mathematical Model of Retinal Neovascularization,” Mathematical and Computer Modeling, Vol. 29, No 2,  pp. 91-97, 1999, with A. E. Savakis.

“Models of Shrinking Clusters with Applications to Epidermal Wound Healing,” Mathematical and Computer Modelling, Vol. 25, No. 6, pp. 1-6, 1997, with A. E. Savakis.

“A Mathematical Model of Growth Factor Induced Capillary Growth in the Retina,” Mathematical and Computer Modelling, Vol. 24, No.7, pp. 33-41, 1996, with A. E. Savakis.


“The Effects of Tumor Angiogenesis Factor (TAF) and Tumor Inhibitor Factors (TIF's) on Tumor Vascularization:  A Mathematical Model,” Invited Paper, Mathematical and Computer Modelling, Vol. 23, No. 6, pp. 121-133, 1996, Special Issue.

“Heat Transfer in Tissue Containing a Prevascular Tumor,” Applied Mathematics Letters, Vol. 8, No. 1, pp. 7-10, 1995, with A.E. Savakis.

“Type-a and Type-b Transforming Growth Factors as Regulators of Cancer Cellular Growth: A Mathematical Model,” Mathematical and Computer Modelling, Vol. 18, No. 7, pp. 9-16, 1993.

“Mathematical Model of Prevascular Growth of a Spherical Carcinoma - Part II,” Mathematical and Computer Modelling, Vol. 17, No. 10, pp. 19-29, 1993.

“The Effects of Tumor Growth Factors on the Growth of Cell Cultures,” Applied Mathematics Letters, Vol. 5, No. 3, pp. 53-56, 1992.

“Effects of Non-uniform Inhibitor Production on the Growth of Cancer Cell Cultures,” Applied Mathematics Letters, Vol. 5, No. 5, pp. 11-14, 1992.

“The Effects of Non-uniform Nutrient Consumption and Non-uniform Inhibitor Production on the Prevascular Growth of a Spherical Carcinoma,”  Proceedings of the 2nd International Conference on Mathematical Population Dynamics, in Marcel Dekker's, Lecture Notes in Pure and Applied Mathematics, Vol. 131, pp. 642, 1991.

“Mathematical Model of Prevascular Growth of a Spherical Carcinoma,” Mathematical and Computer Modelling, Vol. 13, No. 5, pp. 23-38, 1990, with J. A. Adam.

“Diffusion Regulated Growth Characteristics of a Spherical Prevascular Carcinoma,” Bulletin of Mathematical Biology, Vol. 52, pp. 549-582, 1990, with J. A. Adam.

“Note on a Diffusion Model of Tissue Growth,” Applied Mathematics Letters, Vol. 3, No.1, pp. 27-31, 1990, with J. A. Adam.

“A Mathematical Model of Tumor Growth IV. Effects of a Necrotic Core,” Mathematical Biosciences, Vol. 97, pp. 121-136, 1989, with J. A. Adam.

“Note on a Class of Nonlinear Time Independent Diffusion Equations,” Applied Mathematics Letters, Vol. 2, No. 2, pp. 141-145, 1989, with J. A. Adam.

“Modeling Vascularization and Metastasis of a Solid Tumor,” Bulletin of Mathematical Biology, Submitted.

“Modeling the Effects of Vascular Endothelial Growth Factor on Tumor Angiogenesis and Vascularization,” Applied Mathematical Modeling, Submitted.