UTSA Mathematics - Dmitry Gokhman
UTSA - Mathematics - Dmitry Gokhman
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Dmitry Gokhman

Research publications

Refereed journal articles

  1. D. Gokhman, An asymptotic existence theorem in C for the Riccati equation, Complex Variables 24:145-159 (1994)

  2. D. Gokhman, Regular growth of solutions of the Riccati equation W'+W2=e2z in the complex plane, Complex Variables 27:365-382 (1995)

  3. D. Gokhman, Limits in differential fields of holomorphic germs, Complex Variables 28:27-36 (1995)

  4. A. Gokhman, D. Gokhman, A high precision algorithm for axisymmetric flow, Mathematical Problems in Engineering 1:11-25 (1995)

  5. D. Gokhman, Differentially transcendental formal power series, Complex Variables 29:41-44 (1996)

  6. D. Gokhman, Functions in a Hardy field not ultimately C∞, Complex Variables 32:1-6 (1997)

  7. A. Gokhman, D. Gokhman, Boundary element method for internal axisymmetric flow, Mathematical Problems in Engineering 5:55-81 (1999)

  8. M.L. Zeeman, D. Gokhman, W. Weckesser, Resonance in the menstrual cycle: a new model of the LH surge, Reproductive BioMedicine Online 7:295-300 (2003)

  9. D. Gokhman, Topologies for hybrid solutions, Nonlinear Analysis: Hybrid Systems 2:468-473 (2008)

  10. L. Morales, O. Acevedo, M. Martinez, D. Gokhman, C. Corredor, Functional discrimination of sea anemone neurotoxins using 3D-plotting, Central European Journal of Biology 4(1):41-49 (2009)

  11. G. Aliev, H. Palacios, A. Aguirre, G. Pacheco, E. Gasimov, L. Morales, D. Gokhman, M. Obrenovich, V. Bragin, A. Solis, J. Leszek, Oxidative stress induced mitochondrial failure and cellular hypoperfusion: implication in the pathogenesis of Alzheimer disease, Psychogeriatria Polska 6(4):155-179 (2009)

  12. G. Aliev, H. Palacios, E. Gasimov, M. Obrenovich, L. Morales, J. Leszek, A. Solis Herrera, D. Gokhman, Oxidative stress induced mitochondrial failure and vascular hypoperfusion as a key initiator for the development of Alzheimer disease, Pharmaceuticals 3(1):158-187 (2010)

  13. G. Aliev, H. Palacios, E. Gasimov, D. Gokhman, J. Leszek, M. Obrenovich, V. Bragin, A. Solis Herrera, Targeting oxidative stress-induced brain hypometabolism and brain mitochondrial failure as new and effective strategies for the prevention and treatment of cognitive decline in elderly demented/depressed patients and those with Alzheimer's disease: New scents on the trail?, Alzheimer's & Dementia 6(4): doi:10.1016/j.jalz.2010.05.1973 (2010)

  14. G. Aliev, H. Palacios, E. Gasimov, D. Gokhman, J. Leszek, L. Morales, M. Obrenovich, V. Bragin, A. Solis Herrera, Oxidative stress-induced mitochondrial failure and brain hypometabolism underlay the pathophysiology of Alzheimer's disease and offer target for treatment: Astonishing effect of melanin and mitochondrial antioxidants, Alzheimer's & Dementia 6(4): doi:10.1016/j.jalz.2010.05.1982 (2010)

  15. G. Aliev, K. Gasiorowski, H. Palacios, D. Gokhman, V. Shadlinski, V. Bragin, J. Leszek, Oxidative stress-induced mitochondrial DNA overproliferation and deletion, cellular hypoperfusion and brain hypometabolism in the context of Alzheimer's disease: past, present and future, Alzheimer's & Dementia 7(4): doi:10.1016/j.jalz.2011.05.887 (2011)

  16. G. Aliev, H. Palacios, B. Bhushan, K. Gasiorowski, D. Gokhman, V. Shadlinski, V. Bragin, J. Leszek, Oxidative stress induced mitochondrial DNA overproliferation and deletion, cellular hypoperfusion and brain hypometabolism in the context of cerebrovascular and Alzheimer disease, Psychogeriatria Polska 8(1):23-30 (2011)

  17. M. Obrenovich, K. Gasiorowski, H. Palacios, D. Gokhman, V. Shadlinski, V. Bragin, J. Leszek, G. Aliev, Selective loss of GRK2 regulation and its consequences: cerebrovascular complications and Alzheimer disease, Psychogeriatria Polska 8(3-4):81-98 (2011)

  18. H. Palacios, B. Yendluri, K. Parvathaneni, V. Shadlinski, M. Obrenovich, J. Leszek, D. Gokhman, K. Gasiorowski, V. Bragin, G. Aliev, Mitochondrion-specific antioxidants as drug treatments for Alzheimer disease, CNS & Neurological Disorders - Drug Targets 10(2):149-162 (2011)

  19. A. Castro, D. Gokhman, J. Navarro, The continuous wavelet inversion formula and regularity of weak solutions to partial differential equations, International Journal of Wavelets, Multiresolution and Information Processing 19(02):2050075 (2021)

  20. M. Grayson, D. Nagle-Pinkham, D. Gokhman, S. Ruparel, Automated analyses for single-fiber electrophysical recordings using a newly developed Microsoft Excel application and graphical user interface, Journal of Neuroscience Methods 362:109312 (2021)
Refereed conference proceedings articles

  1. H. Longbotham, W. Richardson, D. Gokhman, Design of optimal linear operators for the Haar basis, Progress in Wavelet Analysis and Applications (Y. Meyer & S. Roques, eds.), Editions Frontieres, Gif-sur-Yvette, pp. 593-597 (1993)

  2. W. Richardson, H. Longbotham, D. Gokhman, Multiscale Wavelet Analysis of Mammograms, Progress in Wavelet Analysis and Applications (Y. Meyer & S. Roques, eds.), Editions Frontieres, Gif-sur-Yvette, pp. 599-608 (1993)
Book chapters

  1. G. Aliev, H. Palacios, M. Obrenovich, D. Gokhman, K. Gasiorowski, J. Leszek, V. Bragin, Oxidative stress induced vascular hypoperfusion, mitochondrial failure are missing links for the development Alzheimer disease, Vascular Dementia: Risk Factors, Diagnosis and Treatment (S. Jacobsen, ed.), Nova Science Publishers, Chapter II: 49-78 (2011)

  2. G. Aliev, H. Palacios, D. Gokhman, K. Gasiorowski, V. Bragin, J. Leszek, M. Obrenovich, GRK2 overexpression is a primary hallmark of vascular hypoperfusion and mitochondrial lesions during early Alzheimer disease: new target for drug treatment?, Vascular Dementia: Risk Factors, Diagnosis and Treatment (S. Jacobsen, ed.), Nova Science Publishers, Chapter III: 79-104 (2011)

  3. G. Aliev, H. Palacios, B. Betts, M. Obrenovich, K. Gasiorowski, D. Gokhman, J. Leszek, V. Bragin, Mitochondrion selective antioxidants as drug treatments for Alzheimer disease, Vascular Dementia: Risk Factors, Diagnosis and Treatment (S. Jacobsen, ed.), Nova Science Publishers, Chapter IV: 105-128 (2011)
Research reports

  1. D. Gokhman, Comparability classes and the sign of a differential polynomial of a large function in a Hardy field, University of California at Berkeley (1984)  Results from this report appeared (with acknowledgment) in M. Rosenlicht, Growth properties of functions in Hardy fields, Transactions AMS, 299:261-272 (1987)

  2. E. Kostlan, D. Gokhman, An efficient algorithm for calculating the incomplete gamma function (cdig.f), University of California at Berkeley (1986)

  3. D. Gokhman, Signal-to-noise measurements, Guzik Technical Enterprises (1986)

  4. D. Gokhman, RLL Encoding, Guzik Technical Enterprises (1987)

  5. D. Gokhman, Complex Hardy field generated by Airy's integral, University of California at Berkeley (1987)

  6. D. Gokhman, Computation of the velocity field due to vortex filaments in a fluid passage, Fluid & Power Research Institute (1991)