1. Combinatorial theory and statistical design, Wiley, New York (1987).
2. Discrete mathematics, Graduate Text, in progress.
3. The little book on group theory, Graduate Text, in progress.
4. Planning and analysis of experiments, Graduate Text, in progress.
Research Papers
1. Circular repeated measurements designs, Communications in Statistics, A9, 1901-1918 (1980).
2. Some E-optimal block designs, Annals of Statistics, 9, 886-892 (1981).
3. A construction of repeated measurements designs with balance for residual effects, Journal of Statistical Planning and Inference, 6, 153-164 (1982), with S. Hedayat.
4. On the trace efficiency for control of reinforced BIB designs, Journal of The Royal Statistical Society (B), 45, 31-36 (1983).
5. On the E-optimality of PBIB designs with a small number of blocks, Annals of Statistics, 10, 1027-1031 (1983).
6. Schur convex functions on the spectra of graphs, Discrete Mathematics, 45, 181-188 (1983).
7. BIB designs with blocks of maximal multiplicity, Journal of Statistical Planning and Inference, 1, 289-294 (1984), with S. Hedayat.
8. A unified method for constructing PBIB designs, Journal of The Royal Statistical Society (B), 1, 31-37 (1984), with C.S. Cheng and S. Hedayat.
9. On a result of S. Delsarte, Proceedings of The American Mathematical Society, 92, 149-152 (1984), with R.S. Kulkarni.
10. Lower bounds on the spectra of symmetric matrices with nonnegative entries, Linear Algebra and Its Applications, 65, 171-178 (1985).
11. The FG-algorithm, Journal of the Royal Statistical Society (C) Applied Statistics, 34, 177-183 (1985), with B. Flury.
12. Preservation of optimality under loss of varieties, Journal of The Royal Statistical Society (B), 47, 438-446 (1985).
13. On the optimality of block designs, Annals of The Institute of Stat. Math., 38, 161-174 (1986).
14. On regular generalized line graph designs, Journal of Statistical Planning and Inference, 15, 1-10 (1986), with C.S. Cheng.
15. Efficiency and spectral considerations in experimental designs, Proceedings of The Midwest Business Administration Association, 1-19 (1987), with J.S. Weber.
16. Efficient weighing designs for mildly correlated observations, Proceedings of The Midwest Business Administration Association, 90-93 (1988), with J.S. Weber.
17. Robust designs for serially correlated observations, Biometrika, 76, 245-251 (1989).
18. On the invertibility of the discrete Radon transform, SIAM Journal on Discrete Mathematics, 2, 300-306 (1989).
19. Graph complexity and the Laplacian matrix in blocked experiments, Journal of Linear and Multilinear Algebra, 28, 49-56 (1990).
20. Model adequacy and statistical efficiency, Proceedings of The R.C. Bose Symposium on Probability, Statistics and Design of Experiments, Wiley Eastern, New Delhi, 235-244 (1990).
21. Extremal characterizations of design graphs, Bulletin of The Institute of Combinatorics and Its Applications, 3, 65-68 (1991), with E.G. Whitehead.
22. On matching coefficients, Discrete Mathematics, 89, 203-210 (1991), with E.J. Farrell and J.M. Guo.
23. Graph identification, Proceedings of The Sixth Caribbean Conference on Combinatorics and Computing, 92-117 (1991).
24. An enumerating function for the spanning forests of a graph with color restrictions, Linear Algebra and Its Applications, 173, 231-238 (1992), with R. Bapat.
25. On the information and precision matrices of varietal contrasts, Biometrika, 79, 214-216 (1992).
26. Maximizing information in several orthogonal directions, Journal of Combinatorics, Information and System Sciences, 18, 119-125 (1993).
27. Sequencing of experiments for linear and quadratic time effects, Institute of Mathematics and Its Applications, no. 591, (1993), with J. Bryant.
28. Lessons on the planning of experiments, University of Timisoara Press, 1993.
29. A stochastic process interpretation of partition identities, SIAM Journal on Discrete Mathematics, 2, 194-202 (1994), with T. Savits.
30. On the reconstruction of the subgraph polynomial and the reconstruction conjecture, Journal of Math. Sc., 1, 1-9 (1994), with E.J. Farrell.
31. Statistical inference and modelling of momentum in stock prices, Applied Math Finance, 4, 225-242 (1995), with G. Caginalp.
32. A multivariate Faa di Bruno formula with applications, Transactions of the American Mathematical Society, 2, 503-520 (1996), with T. Savits.
33. Aliasing in $2^n-k$ fractions in the absence of within group interactions, Journal of Statistical Planning and Inference, 66, 345-361 (1998), with L. N. Xue.
34. Aliasing in $2^n-k$ fractions in the case of a separation of factors, Journal of Statistical Planning and Inference, 72, 121-132 (1998), with L. N. Xue.
35. Metric models for random graphs, Journal of Classification, 115, 199-223 (1998), with D. Banks.
36. On the precision matrix of varietal contrasts, Journal of Combinatorics, Information and System Sciences, 23, 433-440 (1998), with L. N. Xue.
37. Identities on set partitions, Discrete Mathematics, 204, 155-162 (1999).
38. Nonparametric inference on mtDNA mismatches, Journal of Nonparametric Statistics, 11, 215-232 (1999), with D. Banks, A. Merriwether, and R. LaFrance.
39. Assessing postural rigidity from quiet stance in patients with Parkinson's disease, Bulletin of the International Statistical Institute, Tome LIX, Book 2, 147-150, with N. Bohnen and C. Chow (ISI invited paper, International Seoul meetings 2001), with Bohnen and Chow.
40. Multicolored parallelisms of isomorphic spanning trees, Discrete Mathematics and Theoretical Computer Science, 5, 121-126 (2002).
41. Graphs, networks, and linear unbiased estimates, Discrete Appl. Math., 3, 381-393 (2003).
42. Determinantal generating functions of colored spanning forests, I. J. Math. and Math. Sci.,6, 273-284 (2004), with M. Buliga.
43. On multicolored isomorphic spanning tree parallelisms of K_n and a classification for 6 and 8 vertices, I. J. Pure and Applied Mathematics, 11, 47-62 (2004), with M. Buliga and R. Melka.
44. In silico design of clinical trials: a method coming of age, Critical Care Medicine, vol. 32, 10, 2061-2070 (2004), with G. Clermont et al.
45. Edge-disjoint isomorphic multicolored trees and cycles in complete graphs, SIAM Journal on Discrete Mathematics, 18, 577-580 (2005).
46. Classifying the state of Parkinsonism by using electronic force platform measures of balance, In: Classification, clustering, and data mining applications, Proceedings of the International meeting of classification societies, 477-484, Springer, New York (2004), with Bohnen and Buliga.
47. Degree of inhibition of cortical acetylcholinesterase activity and cognitive effects by donepezil treatment in Alzheimer's disease, to appear in Journal of Neurology, Neurosurgery & Psychiatry, with N.Bohnen et al.
48. Electronic platform measures of balance impairment in Parkinsonians and first degree relatives, I Journal of Pure and Applied Mathematics, 13, 259-273 (2004), with N. Bohnen and C. Chow.
49. Cognitive correlates of cortical cholinergic denervation in Parkinson's disease and Parkinsonian dementia, Journal of Neurology, in press, with N.Bohnen et al.
50. In Silico models of acute inflammation in animals. Shock 2006; 26:235-244, with Clermomt et al.
51. Mathematical and statistical modeling of acute inflammation, Proceedings of the International Meeting Classification Societies, Springer, New York. 2004; 457-467 (2004) Springer, New York, with Chow, Clermont et al.
52. Mathematical simulations of sepsis and trauma, Presented in the Proceedings of the 11th Congress of the European Shock Society (2005), Vienna, Austria, 151-159; SHOCK 2005; 23(Suppl 2):26-27, #80. with Billiar, Fink et al.
53. The acute inflammatory response in diverse shock states, Shock, 24, 74-84 (2005), with Chow et al.
54. Mathematical models predict the course of the inflammatory response in rats subjected to trauma-hemorrhagic shock and to anti-tumor necrosis factor [alpha] therapy in endotoxemia. J Crit Care 2005; 20(4):393, with Vodovotz, Billiar et al.
55. Colorful isomorphic spanning trees in complete graphs, Annals of Combinatorics, 9, 163 - 167 (2005).
56. Cognitive correlates of alterations in acetylcholinesterase in Alzheimer's disease, Neuroscience Letters, Volume 380, Issues 1-2, Pages 127-132, (2005), with Bohnen et al.
57. Predictive models of postural control based on electronic force platform measures in patients with Parkinson's disease, I Journal of Applied Math, 18, 487-500 (2005), with Bohnen, Moore, Buliga and Ivenco.
58. Degree of inhibition of cortical acetylcholinesterase activity and cognitive effects by donepezil treatment in Alzheimer's disease, Journal of Neurology Neurosurgery and Psychiatry 76, 315-319 (2005), with Bohnen et al.
59. Cognitive correlates of cortical cholinergic denervation in Parkinson's disease and parkinsonian dementia , Journal of Neurology, Volume 253, Number 2, 242-247 (2006), with N. Bohnen et al.
59.*Mathematical simulations of sepsis and trauma. SHOCK 2005; 23(Suppl 2):26-27,#80, with Clermont, Vodovotz et al.
60. Selective hyposmia and nigrostriatal dopaminergic denervation in Parkinson.s disease, Journal of Neurology, Volume 254, Number 1, 84-90 (2007), with Bohnen et al.
61. Cortical cholinergic denervation is associated with depressive symptoms in Parkinson.s disease and parkinsonian dementia, Journal of Neurology, Neurosurgery, and Psychiatry, 78, 641-643 (2007), with Bohnen et al.
62. Diagnostic performance of clinical motor and non-motor tests of Parkinson disease: A matched case-control study. European Journal of Neurology (2009), vol 15, no 7, 685-691, with Bohnen NI, Studenski SA, and Moore RY.
63. Grooved pegboard test as a biomarker of nigrostriatal denervation in Parkinson disease: Most versus less affected side, Journal of Nuclear Medicine, 48, 253P (2007), with Bohnen et al.
64. Postural sway as a biomarker of dopaminergic denervation in patients with mild Parkinson's disease, J Nucl Med., 48 (Supplement 2):9P (2007), with Bohnen et al.
65. A linear code optimization algorithm with applications to immunology, Computational Optimization and Applications, (2007), doi:10.1007/s10589-007-9118-9, EISSN: 15732894 ISSN: 09266003. Paper version:42, Issue 1 (2009), Page 155-171, with Chow, Clermont et al.
66. Mathematical modeling of post-hemorrhage inflammation in mice: Studies using a novel, computer-controlled, closed-loop hemorrhage apparatus, Shock, 32(2), 172-178, with Vodovotz, Puyana, et al. (2009)
67. Mechanistic simulations of inflammation: Current state and future prospects, Mathematical Biosciences, 217, 1-10, (2009), with An, Vodovotz, Voit, Csete, Rubin. doi:10.1016/j.mbs.2008.07.013
68. Age-associated leukoaraiosis and cortical cholinergic deafferentation, Neurology, 72, 1411-1416 (2009), with Bohnen et al.
69. Age-Associated Nigrostriatal Dopaminergic Denervation and Falls in Community-Dwelling Subjects, Journal of Rehabilitation Research and Development, vol. 46, no. 8, 1045-1052, with Bohnen, Studenski et al. (2009)
70. Translational Systems Approaches to the Biology of Inflammation and Healing, Immunopharmacology and Immunotoxicology, 32, 2, 181-195, with An et al. (2010)
71. Translational systems biology of inflammation: potential applications to personalized medicine. Mi Q, Li NY, Ziraldo C, Ghuma A, Mikheev M, Squires R, Okonkwo DO, Verdolini-Abbott K, Constantine G, An G, Vodovotz Y. Per Med. 2010 Sep 1;7(5):549-559
72. Two Autocovariance-based Measures of Balance in Parkinsonians and Normal Controls, Int. J. Contemp. Math. Sciences, Vol. 5, no. 46, 2263 - 2272 (2010), with Buliga, Vodovodtz and Bohnen.
73. Hypoxia-induced overexpression of BNIP3 is not dependent on hypoxia-inducible factor 1α in mouse hepatocytes. Namas RA, Metukuri MR, Dhupar R, Velosa C, Jefferson BS, Myer E, Constantine GM, Billiar TR, Vodovotz Y, Zamora R. Shock. 2011 Aug;36(2):196-202. doi: 10.1097/SHK.0b013e3182205e07.
74. A two compartment mathematical model of endotoxin-induced inflamatory and physiologic alterations in swine, Critical Care Medicine, submitted (with Vodovotz et al.)
75. A dynamic view of trauma/hemorrhage-induced inflammation in mice: Principal drivers and networks. PLoS ONE. 2011.6:19424.(with Billiar et al)
76. A biohybrid device for the systemic control of acute inflammation. Disrupt. Science & Technol. 2012.1:20-27.(with Mikheev, Gerlach, et al)
77. Identification of a novel pathway of transforming growth factor-b1 regulation by extracellular NAD+ in mouse macrophages: In vitro and in silico studies. J. Biol. Chem. 2012. 287:31003-31014.(with Fink et al)
78. Integrating Data Driven and Mechanistic Models of the Inflammatory Response in Sepsis and Trauma. In: Complex Systems and Computational Biology Approaches to Acute Inflammation. An, G. and Vodovotz, Y., eds. Springer. 2013 (In Press).(with Vodovotz et al)
79. Modeling Host-Vector-Pathogen Immuno-inflammatory Interactions in Malaria. In: Complex Systems and Computational Biology Approaches to Acute Inflammation. An, G. and Vodovotz, Y., eds. Springer. 2013(with Luckhart et al)
In vivo, in vitro, and in silico studies suggest a conserved immune module that regulates malaria parasite transmission from mammals to mosquitoes. Price I, Ermentrout B, Zamora R, Wang B, Azhar N, Mi Q, Constantine G, Faeder JR, Luckhart S, Vodovotz Y. J Theor Biol. 2013 Oct 7;334:173-86. doi: 10.1016/j.jtbi.2013.05.028. Epub 2013 Jun 11. PMID: 23764028[PubMed - indexed for MEDLINE]
Identification of a novel pathway of transforming growth factor-β1 regulation by extracellular NAD+ in mouse macrophages: in vitro and in silico studies. Zamora R, Azhar N, Namas R, Metukuri MR, Clermont T, Gladstone C, Namas RA, Hermus L, Megas C, Constantine G, Billiar TR, Fink MP, Vodovotz Y. J Biol Chem. 2012 Sep 7;287(37):31003-14. doi: 10.1074/jbc.M112.344309. Epub 2012 Jul 24. PMID:22829588[PubMed - indexed for MEDLINE]
A Biohybrid Device for the Systemic Control of Acute Inflammation. Namas RA, Mikheev M, Yin J, Over P, Young M, Constantine GM, Zamora R, Gerlach J, Vodovotz Y. Disrupt Sci Technol. 2012 May 14;1(1). doi: 10.1089/dst.2012.0001.
50. Y. Vodovotz, N. Azhar, N. Miskov-Zivanov, M. Buliga, R. Zamora, B. Ermentrout, G. Constantine, J. Faeder, S.
Luckhart, Modeling Host-Vector-Pathogen Immuno-inflammatory Interactions in Malaria, in Complex Systems
and Computational Biology Approaches to Acute Inflammation, pp. 265-279, Springer New York, 2013.
Impact of chemically-modified tetracycline 3 on intertwined physiological, biochemical,
and inflammatory networks in porcine sepsis/ARDS, Int, J Burn Trauma 2015;5(1):22-35
www.IJBT.org /ISSN:2160-2026/IJBT0006869
83. Extra-nigral pathological conditions are common in Parkinson's disease
with freezing of gait: An in vivo positron emission tomography study,
Movement Disorders, Volume 29, Issue 9, pages 1118–1124, August 2014,
DOI: 10.1002/mds.25929, with N Bohnen, S Studenski, K A Frey
84. Impact of Chemically-Modified Tetracycline 3 on Intertwined
Physiological, Biochemical, and Inflammatory Networks in Porcine
Sepsis/ARDS, submitted to JAMA Surgery, with Sadowsky D et al
85. Constantine G, Buliga M, Mi Q, Constantine F, Abboud A, Zamora R,
Puccio A, Okonkwo D and Vodovotz Y (2016) Dynamic Profiling: Modeling the
Dynamics of Inflammation and Predicting Outcomes in Traumatic Brain Injury
Patients. Front. Pharmacol. 7:383. doi: 10.3389/fphar.2016.00383
86. Abboud, A., Mi, Q., Puccio, A., Okonkwo, D., Buliga, M., Constantine,
G., et al. (2016). Inflammation following traumatic brain injury in humans:
insights from data-driven and mechanistic models into survival and death.
Front. Pharmacol. 7:342. doi: 10.3389/fphar.2016.00342
Early detection of pressure ulcer development following traumatic spinal
cord injury using inflammatory mediators, Archives of Physical Medicine
and Rehabilitation, with Khrishnan, Brienza et al
Inflamatory mediators associated with pressure ulcer development in
individuals with pneumonia after traumatic spinal cord injury: A pilot
study, Archives of Physical Medicine and Rehabilitation, vol 98, issue 9,
1792-1799, 2017, with D Brienza et al
Genetic susceptibility of fungal infection in children,Current opinion in
Pediatrics, vol 32, 780-789, 2020, with Ochoa, Lionakis
A Markov chain simulation of malaria parasite infection in Anopheles
mosquitoes along the Transforming Growth Factor_B1, Insulin, and the
Mitogen-Activated Kinase pathway , with Lockhart, Vodovotz et al.
Strong verification for biometric analysis of wellness, being
revised for Pattern Recognition Letters, with Grigoryan et al.
Edge and vertex double-critical graphs, submitted, with J.
Lattanzio.
Generating transitive 2-designs of any block size in $K_n$ and selected
3-designs in $K_{13}$, submitted
A generating function for multicolored spanning trees, in progress
Factorizations of colored arborescences, in progress
Linear factorizations of spanning tree generating functions,
submitted.
Modeling short and long term survival of septic patients, submitted,
with Clermont et al.
The Mobius function on the lattice of normal subgroups, in progress.
On the partial orthogonality of faithful characters, in progress.
Graph likeness and estimation, in progress, with E. J. Farrell.
On the complexity and chromaticity of strongly regular graphs, in
progress, with J. Lattanzio.
A deterministic bootstrap, in progress, with D. Banks.
Time varying patterns of organ failure, in progress, with G. Clermont.
Colored partitions and related identities, in progress.
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