## Recent Publications By Mathematical Sciences Faculty (Highlighted)

### Published/Accepted in 2021:

Young, S.A.*, Newton, A.R.*, **Fowler, S.R.**, **Park, J.** Critical thinking activities in Florida undergraduate biology classes improves comprehension of climate change. Journal of Biological Education. 2021. ***STEM Ed Ph.D. Student**

**Abdulla, U.G., **Poteau, R.* **Identification of Parameters for Large-scale Kinetic Models**, Journal of Computational Physics, March 2021, 110026. ***Operations Research Ph.D. Student**

Fu, S.*, **Perera, K**. On critical elliptic problems with singular Trudinger-Moser nonlinearities. Nonlinear Analysis. 203 (2021) 112154. ***Applied Math Ph.D. Student**

Koolman, P.M., **Bukshtynov, V. A Multiscale Optimization Framework for Reconstructoring Binary Images using Multilevel PCA-based Control Space Reducation.** Biomedical Physics & Engineering Express. 7(2) (2021), 025005.

Moreno, M.M.^ , Bain, T.C.*, Moreno, M.S.*, Carroll, K.C.**, Cunningham, E.R.**, Ashton, Z.***, Poteau, R.*, Subasi, E., Lipkowitz, M.S., **Subasi, M.M.** Identifying Clinical and Genomic Features Associated with Chronic Kidney Disease, Frontiers in Big Data 3, 47, Januay 14, 2021.** ***^Operations Research M.S. Student* , **Operations Research Ph.D. Student, **BioMath REU Intern, ***Mathematical Sciences B.S. Student*

Fu, S.*, **Perera, K.** On a class of semipositone problems with singualar Trudiner-Moser nonlinearities. Discrete and Continuous Dynamical Systems. (to appear) ***Applied Math Ph.D. Student**

Candito, P., Marano, S.A., **Perera, K**. Pairs of nontrivial solutions to concave-linear-convex type elliptic problems. Communications in Contemprorary Mathematics. (to appear).

Gibbs, A.*, **Park, J.** Unboxing Mathematics: Creating a culture of modeling as critic. Educational Studeis in Mathematics. (accepted). ***Math Ed Ph.D. Student**

### Published In 2020:

**Du, J., **Kim, D., Alhawael, G.*, Ku, D., Gogelson, A. Clot Permeability, Agonist Transport, and Platelet Binding Kinetics in Arterial Thrombosis. Biophysical Journal. 119 pp.2102-2115. 2020.** ****Applied Math Ph.D. Student*

**Du, J.**, Aspray, A.*, Fogelson, A. Computational Investigation of Platelet Thrombosis Mechanis and Stability in Stenotic Channels. Journal of Biomechanics. 2020 (accepted). ***Applied Math Ph.D. Student**

Alshehri, H.*, Althobaiti, N.*, Du, J. Low Reynolds Number Swimming with Slip Conditions. Journal of Computational Science. 12141 pp 149.162. 2020. ***Applied Math Ph.D. Student**

Wiseman, E., Carroll, D.J., **Fowler., S**.R., Guisbert, E. Iteration in an inquiry-based undergraduate laboratory strengthens student engagement and incorpration of scientific skills. Journal of the Scholarship of Teaching and Learning. 2020.

Bancroft, S., **Fowler, S.R.**, Jalaeian, M., Patterson, K. Leveling in the field: Flipped instruction has a tool for promoting equity in general chemistry. The Journal of Chemical Education. 2020.

Elrod, E.*,** Park, J.** **A Comparison of Students' Quantitative Reasoning Skills in STEM and Non-STEM Math Pathways**. Numeracy. 13(2) Article 3 pp1936-4660 12.2.1309 (2020). ***Math Ed Ph.D. Student**

**Abdulla, U.G., **Jeli, R.* **Evolution of Interfaces for the Nonlinear Parabolic p-Laplacian-type Reaction-Diffusion Equations. II. Fast Diffusion vs. Absorption**, European Journal of Applied Mathematics, Volume 31, Issue 3, June 2020, pp. 385-406. ***Applied Math Ph.D. Student**

Henderson, C., **Snelson, S.**, Tarfulea, A. **Local well-posedness of the Boltzmann equation with polynomially decaying initial data**, Kinetic & Related Models, 13(4) 837-867, August 2020.

**Abdulla, U.G., Goldfarb, J., **Hagverdiyev, A.* **Optimal Control of Coefficients in Parabolic Free Boundary Problems Modeling Laser Ablation**, Journal of Computational and Applied Mathematics 372, July 2020. **Applied Math Ph.D. Student*

**Kachouie, N.N., **Hamad, F.* **Potential impact of OPTN plan in association with donors’ factors on survival times of transplanted kidneys**. Transplantation Reports 5(2), 100042, June 2020. **Operations Research Ph.D. Student*

Cameron, S., **Snelson, S.** **Velocity decay estimates for Boltzmann equation with hard potentials**. Nonlinearity 33(6) 2941-2959, May 2020.

**Kachouie, N.N**., Onyejekwe, O.E.* **Climate Change Study via the Centennial Trend of Climate Factors**. Hydrology 7(2), 1-12, May 2020. **Operations Research Ph.D. Student*

Henderson, C., **Snelson, S. C∞ smoothing for weak solutions of the inhomogeneous Landau equation**, Archive for Rational Mechanics and Analysis 236(1) 113-143, April 2020.

**Kachouie, N.N., **Deebani, W.* **Association Factor for Identifying Linear and Nonlinear Correlations in Noisy Conditions**. Entropy 22(4), 440, April 2020. ***Operations Research Ph.D. Student**

Lim, S.H., Tiew, W.J., Zhang, J., Ho, P.C., **Kachouie, N.N.**, Kang, L. **Geometrical optimisation of a personalised microneedle eye patch for transdermal delivery of anti-wrinkle small peptide**. Biofabrication, April 2020.

**Abdulla, U.G., **Poggi, P.* **Optimal Stefan Problem**. Calculus of Variations and Partial Differential Equations 59, 61, March 2020. ** ****Applied Math M.S. Student*

**Kachouie, N.N.**, Shutaywi, M.* **Weighted Mutual Information for Aggregated Kernel Clustering**. Entropy 22(3), 351, March 2020.** ****Operations Research Ph.D. Student*

**Perera, K., **Sim, I. **Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities**. Topological Methods in Nonlinear Analalysis 55(1), 243-255, March 2020.

**Abdulla, U.G., **Abu Weden, A.* **Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations**, Nonlinear Differential Equations and Applications NoDEA 27:3, February 2020. ***Applied Math Ph.D. Student**

Alreshidi, N.*, Mrad, M., Subasi, E., **Subasi, M.M. Two-Stage Bond Portfolio Optimization & Its Application to Saudi Sukuk Market**. Annals of Operations Research 288, 1-43, February 2020.** *****Operations Research Ph.D. Student**

**Kachouie, N.N**., Shutaywi, M.*, Christiani, D.C. **Discriminant Analysis of Lung Cancer Using Nonlinear Clustering of Copy Numbers**. Cancer Investigation 38 (2), 102-112, February 2020. **Operations Research Ph.D. Student*

**Abdulla, U.G.**, Cosgrove,E.* **Optimal Control of Multiphase Free Boundary Problems for Nonlinear Parabolic Equations, Applied Mathematics and Optimization**, January 2020. ***Applied Math Ph.D. Student**

Bain, T.C.*, Avila-Herrera, J.F.*, Subasi, E., **Subasi M.M. Logical Analysis of Multiclass Data with Relaxed Patterns**. Annals of Operations Research 287, 11-35, 2020. https://doi.org/10.1007/s10479-019-03389-7.* *******Operations Research Ph.D. Students*

**Tenali, G.B.**, Slyn’ko, V.I. Stability of Invatiant Maniforlds of Certain Classes of Set Differential Equations. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 27 (2020) 1-17.

**Dshalalow, J.H., White, R. Random Walks on Random Lattices**. Stochastic Analysis and Applications 38(2), 307-342, 2020.

**Dshalalow, J.H., White, R., **Merie, A.* **Fluctuation Analysis in Parallel Queues with Hysteretic Control**. Methodology and COmputing in Applied Probability 22(1), 295-327, 2020. ***Operations Research Ph.D Student**

**Perera, K.,** Shivaji, R., Sim, I. A class of semipositone p-Laplacian problems with a critical growth reaction term. Advances in Nonlinear Analysis 9, 516-525, 2020.

Elrod, E., **Park, J.** A Comparison of Students’ Quantitative Reasoning Skills in STEM and Non-STEM Math Pathways. Numeracy (in press).

Fu, S., **Perera, K.** On a class of semipositone problems with singular Trudinger-Moser nonlinearities. Discrete and Continuous Dynamical Systems. Series S (in press).

Henderson, C., **Snelson, S.**, Tarfulea, A.* ***Local solutions of the Landau equation with rough, slowly decaying initial data**. Annales de l'Institute Henri Poincaré (C) Analyse Non Linéaire (in press).

### Published in 2019:

**Abdulla, U.G.**, **Bukshtynov, V.**, Hagverdiyev, A.***** **Gradient method in Hilbert-Besov spaces for the optimal control of parabolic free boundary problems**. Journal of Computational and Applied Mathematics 346 (2019), 84-109. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Poggi, B.* **Optimal control of the multiphase Stefan problem**. Applied Mathematics and Optimization 80(2) (2019), 479-513. ******Applied Math M.S. Student*

**Dshalalow, J.H.**, Merie, A.*****, **White, R.T.** **Fluctuation Analysis in Parallel Queues with Hysteretic Control**. Methodology and Computing in Applied Probability (2019). **https://doi.org/10.1007/s11009-019-09701-z**. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Nandyose, K.***** Real time analysis of signed marked random measures with applications to finance and insurance. Nonlinear Dynamics and System Theory1 (19) (2019), 36-54. ******Operations Research Ph.D. Student*

Dutra, A*****., **Marcinkowski, T.**, Webbe, F.***** (in press). Testing a model of the relationship of demographic, affective, and fitness variables to academic achievement among non-science majors at an independent. International Journal of Sport and Society. ******Science Education Ph.D. Student*

Henderson, C., **Snelson, S.**, Tarfulea, A. **Local existence, lower mass bounds, and a new continuation criterion for the Landau equation**. J. Differential Equations 266(2-3) (2019), 1536–1577.

Hamad, F.*, **Kachouie, N.N. Potential Impact of Donors’ Factors on Survival Times of Transplanted Hearts and Lungs**. Transplantation Reports. 4(4), 100035, December 2019. **Operations Research Ph.D. Student*

**Kachouie, N.N.**, Deebani, W.*, Christiani, D.C.** Identifying Similarities and Disparities Between DNA Copy Number Changes in Cancer and Matched Blood Samples**. Cancer investigation. 37(10), 535-545, October 2019.* *Operations Research Ph.D. Student*

Hamad, F.*, Kachouie, N.N. **A hybrid method to estimate the full parametric hazard model**. Communications in Statistics-Theory and Methods. 48(22), 5477-5491. 2019.* *Operations Research Ph.D. Student*

Folick, A.M., Haire, T.C., Cutshaw, K., Riddle, M., Shola, C., Nassani, S., Rice, P., Richardson, B., **Kachouie, N.N**., Palmer, A.G. **Computer assisted tracking of Chlamydomonas species**. Frontiers in Plant Science. 10, 1616, January 2019.

**Marcinkowski, T.**, Reid, A.*** Reviews of research on the attitude-behavior relationship and their implications for future research in EE. Environmental Education Research***, 25*(4) (2019), 1-13. ******Science Education Ph.D. Student*

**Perera, K.**, Sim, I. **Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities Topol**. Methods Nonlinear Anal. (2019). To appear.

**Perera, K.**, Shivaji, R., Sim, I. **A class of semipositone p-Laplacian problems with a critical growth reaction term**. Adv. Nonlinear Anal. 9 (2020), 516-525.

Riaz, M.*, **Marcinkowski, T.**, Faisal, A.***** (in press). The effects of a DLSCL approach on students’ conceptual understanding in an undergraduate physics introductory lab. Eurasian Journal of Mathematics, Science and Technology Education. ******Science Education Ph.D. Student*

### Published in 2018:

**Abdulla, U.G. Removability of the logarithmic singularity for the elliptic PDEs with measurable coefficients and its consequences**. Calc. Var. Partial Differential Equations 57(6) 2018), 157.

**Abdulla, U.G.**, Poteau, R.***** **Identification of parameters in systems biology**. Mathematical Biosciences 305 (2018), 133–145. ******Operations Research Ph.D. Student*

**Abdulla, U.G.**, **Du, J.**, Prinkey, A.*****, Ondracek, C., Parimoo, S. **Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption**. Math. Comput. Simulation 153 (2018), 59–82. ******Applied Math Ph.D. Student*

**Abdulla, U.G.,** **Goldfarb, J.M. Frechet differentiability in Besov spaces in the optimal control of parabolic free boundary problems**. J. Inverse Ill-Posed Probl. 26(2) (2018), 211–227.

AlObaidi, A.*, **Dshalalow, J.H. On intensities of perturbed random measures on Hausdorff spaces**. Stochastic Analysis and Applications 6 (2018), 932-959. ***Applied Math Ph.D. Student**

**Dshalalow, J.H., **AlObaidi, A.* Fluctuation Analysis in Queues with Several Operational Modes and Priority Customers. TOP, Spring, NY. 26 (2018). 309-333. **Applied Math Ph.D. Student*

**Dshalalow, J.H., **Nandyose, K. Continuous Time Interpolation of Monotone Marked Random Measures with Applications. Neural, Parallel, and Scientific Computations. 26:2 (2018). 119-141. ***Operations Research Ph.D. Student**

Shutaywi, M.*, Kachouie, N.N. A Weighted Majority Voting based on NMI for Cluster Analysis. International Symposium on Artificial Intelligence and Mathematics. 2018.* *Operations Research Ph.D. Student*

Deebani, W.*, **Kachouie, N.N.** Ensemble Correlation Coefficient. International Symposium on Artificial Intelligence and Mathematics. 2018. **Operations Research Ph.D. Student*

Alharbi, M.G.*****, Subasi, E., **Subasi, M.M.** **New sufficient conditions for strong unimodality of multivariate discrete distributions**. Discrete Appl. Math. 237 (2018), 1–25. ******Operations Research Ph.D. Student*

Bain, T.C.*****, Avila-Herrera, J.F.*****, Subasi, E., **Subasi, M.M. Logical Analysis of Multiclass Data with Relaxed Patterns**. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

Cameron, S.; Silvestre, L., **Snelson, S.** **Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials**. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, 625–642.

Deebani, W.*****, **Nezamoddini-Kachouie, N. Ensemble Correlation Coefficient**. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Merie, A.* **Fluctuation analysis in queues with several operational modes and priority customers**. TOP 26(2) (2018), 309–333. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Nandyose, K.*** Continuous time interpolation of monotone marked random measures with applications**. Neural, Parallel, and Scientific Computations 2 (26) (2018), 119-141. ******Operations Research Ph.D. Student*

**Du, J.**, Fogelson, A.L. **A two-phase mixture model of platelet aggregation**. Math. Med. Biol. 35(2) (2018), 225–256.

Kutt, B., Burdorf, R., Bain, T.C.*****, Moore, L., **Subasi, M.M.** **Interalgorithmic Consolidation for Pattern Recognition Applied to Melanoma Genomic Data**. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

Jerison, D., **Perera, K.** **Higher critical points in an elliptic free boundary problem**. J. Geom. Anal. 28(2) (2018), 1258–1294.

**Perera, K.**, Yang, Y., Zhang, Z. **Asymmetric critical p -Laplacian problems**. Calc. Var. Partial Differential Equations 57(5) (2018), 131.

**Perera, K.**, Zou, W. **p -Laplacian problems involving critical Hardy-Sobolev exponents**. NoDEA Nonlinear Differential Equations Appl. 25(3) (2018), 25.

**Perera, K.**, Tintarev, C., Wang, J., Zhang, Z. **Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in R N **. Adv. Differential Equations 23(7-8) (2018), 615–648.

**Perera, K.**, Squassina, M. **Bifurcation results for problems with fractional Trudinger-Moser nonlinearity**. Discrete Contin. Dyn. Syst. Ser. S 11(3) (2018), 561–576.

**Perera, K.**, Squassina, M. **Existence results for double-phase problems via Morse theory**. Commun. Contemp. Math. 20(2) (2018), 1750023.

Shutaywi, M.*, **Nezamoddini-Kachouie, N. A Weighted Majority Voting based on Normalized Mutual Information for Cluster Analysis**. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

**Snelson, S.** **Asymptotic stability for odd perturbations of the stationary kink in the variable-speed ϕ 4 model**. Trans. Amer. Math. Soc. 370 (10) (2018), 7437–7460.

Subasi, E., **Subasi, M.M.**, Binmahfoudh, A.*****, Prékopa, A. **Sharp bounds for the probability that exactly ***k*-out-of-*n* events occur with unimodal distributions. Annals of Operations Research (2018), 1-25. **https://doi.org/10.1007/s10479-018-2950-8**. *******Operations Research Ph.D. Student**

van Woesik, R., **Koksal, S.**, Unal, A., Cacciapaglia, C.W., Randall, C.J. **Predicting coral dynamics through climate change**. Nature: Scientific Reports 8 (2018), 17997. DOI:10.1038/s41598-018-36169-7

Volkov O., **Bukshtynov V.**, Durlofsky L.J., Aziz K. **Gradient-based Pareto Optimal History Matching for Noisy Data of Multiple Types**, Computational Geosciences 22(6) (2018), 1465-1485.

### Published in 2017

**Abdulla, U.G.**, Jeli, R.***** **Evolution of interfaces for the non-linear parabolic p -Laplacian type reaction-diffusion equations**. European Journal of Applied Mathematics, 28 (5) (2017), 827–853. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Cosgrove, E.*****, **Goldfarb, J. On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems**. Evolution Equations & Control Theory 6(3) (2017), 319–344. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Abdulla, R.U., Abdulla, M.U., Iqbal, N.H.***** **Second minimal orbits, Sharkovski ordering and universality in chaos**. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 27 (2017), no. 5, 1730018. ******Applied Math Ph.D. Student*

**Dshalalow, J.H.**, Iwezulu, K.*** Discrete versus continuous operational calculus in antagonistic stochastic games**. São Paulo Journal of Math. Science 11(2) (2017), 471-489. ******Operations Research Ph.D. Student*

Onyejekwe, O.E.*, Holman, B., **Kachouie, N.N.** Multivariate models for predicting glacier termini. Environmental Earth Sciences. 76(23), 807. 2017. **Operations Research Ph.D. Student*

Qin, L., Schwartzman, A., McCall, K. **Kachouie, N.N.**, Yap, J.T. Method for detecting voxelwise changes in fluorodeoxyglucose-positron emission tomography brain images via background adjustment in cancer clinical trials. Journal of Medical Imaging. 4(2), 024006 1. 2017.

**Kachouie, N.N.,** Lin, X., Schwartzman, A. FDR control of detected regions by multiscale matched filtering. Communications in Statistics-Simulation and Computation. 46 (1), 127-144. 2017.

**Kiguradze, T.**, Al-Jaber, N.*** Ill-Posed Multi-Dimensional Boundary Value Problems for Linear Hyperbolic Equations of Higher Order**. QUALITDE (2017), 92-96. ******Applied Math Ph.D. Student*

**Kiguradze, T.**, Beaubrun, A.*

**Local Solvability of Multi-Dimensional Initial-Boundary Value Problems for Higher Order Nonlinear Hyperbolic Equations**. QUALITDE (2017), 97-101.

Subasi, E., **Subasi, M.M.**, Hammer, P.L., Roboz, J., Anbalagan, V., Lipkowitz, M.A. **Classification Model to Predict the Rate of Decline of Kidney Function**. Frontiers in Medicine 4 (2017), 97-106.

**Subasi, M.M.**, Subasi, E., Binmahfoudh, A.*****, Prekopa, A. **New bounds for the probability that at least ***k*-out-of-*n* events occur with unimodal distributions. Discrete Applied Mathematics 226 (2017), 138-157. ******Operations Research Ph.D. Student*

### Under Review

**Dshalalow, J.H.**, Nandyose, K.*****, **White, R.T. **(2019). Time-Dependent Analysis of Stochastic Games of Three Players with Applications. ******Operations Research Ph.D. Student*

Giannoulis, C., **Marcinkowski, T.**, Volk, T., Hungerford, H., McBeth, W. (2019). Influence of sequence of grade-level programming on middle school students’ environmental literacy. The Journal of Environmental Education.* Revision submitted*.

Gibbs, A., **Park, J.** (2019). MESH (Mathematics Expressing Society’s Hopes): A pedagogical tool for uncovering the role of mathematics in society.

Gibbs, A., **Park, J.** (2019). Students’ Understanding of the role of Mathematics in Society: Mathematising experiences, establishing relevancy.

Henderson, C., **Snelson, S.** (2019). Tarfulea, Andrei. Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data. Link: **https://arxiv.org/abs/1909.05914**

**Marcinkowski, T.**, Giannoulis, C., McBeth, W. (2019). Environmental education programs and middle school students’ environmental literacy: Results of a national assessment. The Journal of Environmental Education. *Revision submitted*.

**Park, J.** (2019). Makiguchi’s Theory of ‘Value Creation’ and Its Implications for Global Citizenship Education in Mathematical Practices.