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Office Hours

T 02:30 PM-04:00 PM
W 11:00 AM-01:30 PM
R 10:00 AM-11:00 AM

I am a mathematician trained in probability theory and statistics, with a strong background in biostatistics, data science, and applied mathematics. I joined Siena's Department of Mathematics and Statistics in 2018 and serve on the Data Science Faculty Steering Committee. Before coming to Siena, I was an assistant professor in the Medical School at Muğla Sıtkı Koçman University in Türkiye and a visiting assistant professor at Vassar College. Earlier, I held teaching and research positions at Southern Illinois University and the West Virginia University Cancer Institute.

Teaching

I have taught mathematics, statistics, and data science courses ranging from Calculus and Linear Algebra to Introductory Statistics, Regression Analysis, Advanced Statistical Methods, and Mathematical Statistics. In class, I combine lectures with student-centered activities such as Think-Pair-Share and small-group work, and I connect mathematical ideas to everyday life. In my statistics courses, students analyze real data in R and present their findings in written reports using R Markdown.

Undergraduate Research

At Siena, I have mentored 31 undergraduates in research through independent studies on 14 different topics and seven projects funded by Siena's Center for Undergraduate Research and Creative Activity (CURCA). These students have come from many majors, including mathematics, statistics, data science, actuarial science, biology, biochemistry, chemistry, and physics, and their work has led to two peer-reviewed publications and many poster presentations at local and national conferences. I'm always glad to talk with students about research in applied mathematics and statistics, and I'm currently looking for students to join my projects on the transmission dynamics of vector-borne diseases. If you've completed Calculus II and want research experience, come see me!
 

Research

My research applies mathematics and statistics to medicine, with a focus on biomarker studies in clinical medicine, genomic and microbiome data analysis, and deterministic and stochastic modeling of infectious diseases. I have co-authored 33 peer-reviewed articles, usually as the project biostatistician responsible for study design, data analysis, and interpretation of results. My collaborations span neurology, oncology, orthopedics, endocrinology, gastroenterology, ophthalmology, dermatology, pathology, forensic medicine, and cardiovascular and plastic surgery. Looking ahead, I plan to develop new statistical methods for analyzing microbiome data.

PUBLICATIONS 

  1. Numerical Analysis of BIMs for Stochastic SIR and SIS Models with Variable Contact Diffusion Rates. (2026); Shurz H, Tosun K. Journal of Mathematical Biology. doi: 10.1007/s00285-026-02392-4
  2. Comparing The Levels of Serum Netrin-1, Nesfatin-1 and Adropin in Subclinical and Overt Hypothyroid Patients. (2026); Gemci E, Akbaba G, Çınar N, Edgünlü T, Tosun K. Medical Journal of Mugla Sitki Kocman University. doi: 10.47572/muskutd.1706423
  3. Evaluation of Vascular Neurology Fellowship Websites in the U.S. (2024); Tram M, Amory C, Tosun K; Journal of Medical Education and Curricular Development.  doi: 10.1177/23821205231225921. (student collaboration)
  4. Relationship between serum Betatrophin, GPIHBP1, and LDL subfractions in patients with gestational diabetes mellitus. (2023); Saruhan E, Ispir E, Basaran Y, Akbaba E, Tosun K; Aslan A. Clinical Biochemistry. 118, 110592. doi: 10.1016/j.clinbiochem.2023.110592.
  5. Hepcidin, Ferroportin and Hephaestin Levels in Inflammatory Bowel Disease; Are they Key Mediators of Anemia or Inflammation. (2022); Guleryuzlu Y, Yilmaz N, Yilmaz M , Demir S , Tosun K , Yilmaz UE , Dag I, Dolapcioglu C. Japanese Journal of Gastroenterology and Hepatology. 9 (12) 1-10. https://jajgastrohepto.org/volume-9/
  6. On the origin of zombies: a modeling approach. (2022); Reece E, Kumari A, Tosun K, Greenhalgh S. Mathematics Exchange. 16(1):36-49 (student collaboration)
  7. The role of Wnt pathway antagonists in early-stage lung adenocarcinoma. (2022); Zeybek A, Öz N, Kalemci S, Tosun K, Edgünlü T, Kızıltuğ MT, Tekin L, Erdal ME; Molecular Biology Reports; 49:9-17. doi:10.1007/s11033-021-06759-2.
  8. Comparison of Orexin-A and Neurofilament Light Chain levels in patients with Relapsing-Remitting Multiple Sclerosis. (2022); Saruhan E, Korkmaz M, Altiparmak B, Tosuk K, Kutlu G. Ideggyógyászati Szemle (Clinical Neuroscience);75(07-08):223-230. doi: 10.18071/isz.75.0223.
  9. Effect of Ethanol in Oral Antiseptic Sprays on Breath Alcohol Measurement. (2021); Demirci IM, Balci Y, Kadi G, Seckin C, Tosun K; Adli Tıp Bülteni (The Bulletin of Legal Medicine); 26(1):1-7. doi: 10.17986/blm.1306 (in Turkish)
  10. Investigation of the protective effect of nesfatin-1 on testicular ischaemia-reperfusion damage: An experimental study. (2020); Erdogan O, Çetinkaya M, Sahin H, Deliktas H, Dere Y, Yılmaz  M, Tosun K,  Aktas S; Andrologia; 52 (10), e13769; doi: 10.1111/and.13769
  11. Assessment of COL1A1 and MMP9 expression in patients with dermatochalasis. (2020); Turkcu U O, Yuksel N, Akcay E, Ayan B, Kuru O, Edgunlu T, Tosun K; International Ophthalmology; 40, 1987–1992; doi: 10.1007/s10792-020-01373-w
  12. Association between the pectoral muscles and rib anomalies in poland syndrome. (2020); Zeybek A, Tosun K, Uǧuz Gencer C, Kalemci S, Oz N, Calıskan S, Bozdaǧ H G; Journal of the Anatomical Society of India; 69 (2), 81-90; doi: 10.4103/jasi.jasi_220_19
  13. Cost-based analysis of operative maxillofacial fracture managements. (2020); Altiparmak M, Pektas M L, Kasap S, Tosun K, Nisanci M; Turkish Journal of Plastic Surgery; 28 (2), 104-110; doi: 10.4103/tjps.tjps_54_19
  14. The Necessity of Upper Extremity Neurologic Examination while Evaluating Breast Pain. (2020); Belli A K, Dinc Elibol F, Acarbas A, Ozcan O,  Dere O, Yazkan C,  Elibol C,  Tosun K,  Nazli O;  Breast Care; 15, 506–510; doi: 10.1159/000505364
  15. Structural and Functional Outcomes of Retinal Displacement After Epiretinal Membrane Surgery With Internal Limiting Membrane Peeling. (2019); Sul S, Karalezli A, Korkmaz S, Tosun K; Journal of Retina-Vitreous; 28 (3), 279-284
  16. The association of low levels of nesfatin-1 and glucagon-like peptide-1 with oxidative stress in Parkinson’s disease. (2019) Karadaban Emir G, Unal Y, Yilmaz N, Tosun K, Kutlu G; Neurological Sciences; 40 (12), 2529-2535; PMID: 31280388; doi: 10.1007/s10072-019-03975-4
  17. The methylation status of NKCC1 and KCC2 in the patients with refractory temporal lobe epilepsy. (2019) Unal Y, Kara M, Genc F, Aslan Oztruk D, Bicer Gomceli Y, Kaynar T, Tosun K, Kutlu G; Ideggyogyaszati Szemle; 72(5-6), 181-186; PMID: 31241262, doi: 10.18071/isz.72.0181
  18. Diagnostic Value of MiR-125b as a Potential Biomarker for Stage I Lung Adenocarcinoma Lung Adenocarcinoma. (2019); Zeybek A, Oz N, Kalemci S, Edgunlu T, Kiziltug M, Tosun K, Tunc M, Tekin L, Erdal ME; Current Molecular Medicine, 19 (3), 216-227; PMID: 30868951; doi: 10.2174/1566524019666190314113800. 
  19. Stability of stochastic SIS model with disease deaths and variable diffusion rates. (2019); Schurz H, Tosun K; Electronic Journal of Qualitative Theory of Differential Equations; 14, 1-24; doi: 10.14232/ejqtde.2019.1.14
  20. Methylation of cation-chloride cotransporters NKCC1 and KCC2 in patients with juvenile myoclonic epilepsy. (2019); Genc F, Kara M, Unal Y, Uygur KE, Bicer GY, Kaynar T, Tosun K, Kutlu G; Neurological Sciences; 40(5):1007-1013; PMID: 30759289; doi:10.1007/s10072-019-03743-4.
  21. Correlation of Prognostic Gleason Grade Grouping and Histopathological Parameters: Can the “New System” Reflect the Pathological Perspective for Prognosis? (2018); Dere Y, Altınboga AA, Yaldir E, Bal K, Tosun K, Sari A; Archives of Iranian Medicine; 21(11), 518-523; PMID: 30551692.
  22. The effect on outcomes of the application of circumferential cerclage cable following intramedullary nailing in reverse intertrochanteric femoral fractures. (2019); Imerci A, Aydogan NH, Tosun K; European Journal of Orthopaedic Surgery & Traumatology; 29 (4), 835-842; PMID: 30523463; doi:10.1007/s00590-018-2356-y. 
  23. Association between obstructive sleep apnea syndrome and waist-to-height ratio. (2018); Unal Y, Ozturk DA, Tosun K, Kutlu G; Sleep and Breathing; 23 (2), 523-529; PMID: 30238284; doi:10.1007/s11325-018-1725-4.
  24. Evaluation of Erythroid Disturbance and Thiol-Disulphide Homeostasis in Patients with Psoriasis. (2018); Demir PS, Pektas G, Tosun K, Dogan G, Neselioglu S, Erel O; BioMed Research International; PMID: 29967791; doi:10.1155/2018/9548252. 
  25. A comparison of the InterTan Nail and Proximal Femoral Nail Antirotation in the Treatment of Reverse Intertrochanteric Femoral Fractures. (2018); Imerci A, Aydogan NH, Tosun K; Acta Orthopaedica Belgica; 84(2), 123-131; PMID: 30462594.
  26. Agreement between the Turkey Guidelines and the Fracture Risk Assessment Tool-based Intervention Threshold. (2018); Imerci A, Aydogan NH, Tosun K; Journal of Bone Metabolism; 25(2), 79-86; PMID: 29900157; doi:10.11005/jbm.2018.25.2.79. 
  27. Evaluation of inter- and intra-observer Reliability of Current Classification Systems for Subtrochanteric Femoral Fractures. (2018); Imerci A, Aydogan NH, Tosun K; European Journal of Orthopaedic Surgery & Traumatology; 28(3), 499–502; PMID: 29110093; doi:10.1007/s00590-017-2065-y.
  28. The Effects of Vascular Diameters on the Maturation and Patency of the Arteriovenous Fistulas for Hemodialysis. (2017); Depboylu BC, Yazman S, Tosun K; Medical Journal of Mugla Sitki Kocman University, 4(3), 1-6. http://dergipark.gov.tr/muskutd/issue/38567/397613
  29. Can relative area of medial clavicular epiphysis be used for age estimation? (2017); (in Turkish); Yeniceri IO, Tosun K, Balci Y; Turkish Journal of Forensic Medicine; 31(2), 53-58; doi:10.5505/adlitip.2017.24582.
  30. Stochastic asymptotic stability of SIR model with variable diffusion rates. (2015); Schurz H, Tosun K; Journal of Dynamics and Differential Equations, 27(1), 69-82; doi:10.1007/s10884-014-9415-9.
  31. Impact and interactions between smoking and traditional prognostic factors in lung cancer progression. (2009); Guo NL, Tosun K, Horn K; Lung Cancer; 66(3), 386-392; PMID: 19304339; doi:10.1016/j.lungcan.2009.02.012.
  32. An integrative genomic and proteomic approach to chemosensitivity prediction. (2009); Ma Y., Ding Z, Qian Y, Wan YW, Tosun K, Shi X, Castra V, Harner EJ, Guo NL; International Journal of Oncology; 34(1),107-115; PMID: 19082483; doi:10.3892/ijo_00000134.
  33. Confirmation of gene expression-based prediction of survival in non-small cell lung cancer. (2008); Guo NL, Wan YW, Tosun K, Lin H, Msiska Z, Flynn DC, Remick SC, Vallyathan V, Dowlati A, Shi X, Castranova V, Beer DG, Qian Y; Clinical Cancer Research; 14(24), 8213-8220; PMID:19088038; doi:10.1158/1078-0432.CCR-08-0095.

Degree Program University
Ph.D. Mathematics Southern Illinois University - Carbondale
M.S. Statistics West Virginia University
M.S. Mathematics Bilkent University
B.S. Mathematics and Computer Science Cankaya University

My Professional Experience

Year Title Organization
2022 - Now Associate Professor Siena University (formerly Siena College)
2018 - 2022 Assistant Professor Siena University (formerly Siena College)
2016 - 2018 Assistant Professor Mugla Siki Kocman University Faculty of Medicine
2013 - 2015 Visiting Assistant Professor Vassar College
2008 - 2013 Teaching Assistant Southern Illinois University
2005 - 2008 Research Assistant West Virginia University Cancer Institute

Current Research

 PUBLICATIONS 
  1. Numerical Analysis of BIMs for Stochastic SIR and SIS Models with Variable Contact Diffusion Rates. (2026); Shurz H, Tosun K. Journal of Mathematical Biology. doi: 10.1007/s00285-026-02392-4
  2. Comparing The Levels of Serum Netrin-1, Nesfatin-1 and Adropin in Subclinical and Overt Hypothyroid Patients. (2026); Gemci E, Akbaba G, Çınar N, Edgünlü T, Tosun K. Medical Journal of Mugla Sitki Kocman University. doi: 10.47572/muskutd.1706423
  3. Evaluation of Vascular Neurology Fellowship Websites in the U.S. (2024); Tram M, Amory C, Tosun K; Journal of Medical Education and Curricular Development.  doi: 10.1177/23821205231225921. (student collaboration)
  4. Relationship between serum Betatrophin, GPIHBP1, and LDL subfractions in patients with gestational diabetes mellitus. (2023); Saruhan E, Ispir E, Basaran Y, Akbaba E, Tosun K; Aslan A. Clinical Biochemistry. 118, 110592. doi: 10.1016/j.clinbiochem.2023.110592.
  5. Hepcidin, Ferroportin and Hephaestin Levels in Inflammatory Bowel Disease; Are they Key Mediators of Anemia or Inflammation. (2022); Guleryuzlu Y, Yilmaz N, Yilmaz M , Demir S , Tosun K , Yilmaz UE , Dag I, Dolapcioglu C. Japanese Journal of Gastroenterology and Hepatology. 9 (12) 1-10. https://jajgastrohepto.org/volume-9/
  6. On the origin of zombies: a modeling approach. (2022); Reece E, Kumari A, Tosun K, Greenhalgh S. Mathematics Exchange. 16(1):36-49 (student collaboration)
  7. The role of Wnt pathway antagonists in early-stage lung adenocarcinoma. (2022); Zeybek A, Öz N, Kalemci S, Tosun K, Edgünlü T, Kızıltuğ MT, Tekin L, Erdal ME; Molecular Biology Reports; 49:9-17. doi:10.1007/s11033-021-06759-2.
  8. Comparison of Orexin-A and Neurofilament Light Chain levels in patients with Relapsing-Remitting Multiple Sclerosis. (2022); Saruhan E, Korkmaz M, Altiparmak B, Tosuk K, Kutlu G. Ideggyógyászati Szemle (Clinical Neuroscience);75(07-08):223-230. doi: 10.18071/isz.75.0223.
  9. Effect of Ethanol in Oral Antiseptic Sprays on Breath Alcohol Measurement. (2021); Demirci IM, Balci Y, Kadi G, Seckin C, Tosun K; Adli Tıp Bülteni (The Bulletin of Legal Medicine); 26(1):1-7. doi: 10.17986/blm.1306 (in Turkish)
  10. Investigation of the protective effect of nesfatin-1 on testicular ischaemia-reperfusion damage: An experimental study. (2020); Erdogan O, Çetinkaya M, Sahin H, Deliktas H, Dere Y, Yılmaz  M, Tosun K,  Aktas S; Andrologia; 52 (10), e13769; doi: 10.1111/and.13769
  11. Assessment of COL1A1 and MMP9 expression in patients with dermatochalasis. (2020); Turkcu U O, Yuksel N, Akcay E, Ayan B, Kuru O, Edgunlu T, Tosun K; International Ophthalmology; 40, 1987–1992; doi: 10.1007/s10792-020-01373-w
  12. Association between the pectoral muscles and rib anomalies in poland syndrome. (2020); Zeybek A, Tosun K, Uǧuz Gencer C, Kalemci S, Oz N, Calıskan S, Bozdaǧ H G; Journal of the Anatomical Society of India; 69 (2), 81-90; doi: 10.4103/jasi.jasi_220_19
  13. Cost-based analysis of operative maxillofacial fracture managements. (2020); Altiparmak M, Pektas M L, Kasap S, Tosun K, Nisanci M; Turkish Journal of Plastic Surgery; 28 (2), 104-110; doi: 10.4103/tjps.tjps_54_19
  14. The Necessity of Upper Extremity Neurologic Examination while Evaluating Breast Pain. (2020); Belli A K, Dinc Elibol F, Acarbas A, Ozcan O,  Dere O, Yazkan C,  Elibol C,  Tosun K,  Nazli O;  Breast Care; 15, 506–510; doi: 10.1159/000505364
  15. Structural and Functional Outcomes of Retinal Displacement After Epiretinal Membrane Surgery With Internal Limiting Membrane Peeling. (2019); Sul S, Karalezli A, Korkmaz S, Tosun K; Journal of Retina-Vitreous; 28 (3), 279-284
  16. The association of low levels of nesfatin-1 and glucagon-like peptide-1 with oxidative stress in Parkinson’s disease. (2019) Karadaban Emir G, Unal Y, Yilmaz N, Tosun K, Kutlu G; Neurological Sciences; 40 (12), 2529-2535; PMID: 31280388; doi: 10.1007/s10072-019-03975-4
  17. The methylation status of NKCC1 and KCC2 in the patients with refractory temporal lobe epilepsy. (2019) Unal Y, Kara M, Genc F, Aslan Oztruk D, Bicer Gomceli Y, Kaynar T, Tosun K, Kutlu G; Ideggyogyaszati Szemle; 72(5-6), 181-186; PMID: 31241262, doi: 10.18071/isz.72.0181
  18. Diagnostic Value of MiR-125b as a Potential Biomarker for Stage I Lung Adenocarcinoma Lung Adenocarcinoma. (2019); Zeybek A, Oz N, Kalemci S, Edgunlu T, Kiziltug M, Tosun K, Tunc M, Tekin L, Erdal ME; Current Molecular Medicine, 19 (3), 216-227; PMID: 30868951; doi: 10.2174/1566524019666190314113800. 
  19. Stability of stochastic SIS model with disease deaths and variable diffusion rates. (2019); Schurz H, Tosun K; Electronic Journal of Qualitative Theory of Differential Equations; 14, 1-24; doi: 10.14232/ejqtde.2019.1.14
  20. Methylation of cation-chloride cotransporters NKCC1 and KCC2 in patients with juvenile myoclonic epilepsy. (2019); Genc F, Kara M, Unal Y, Uygur KE, Bicer GY, Kaynar T, Tosun K, Kutlu G; Neurological Sciences; 40(5):1007-1013; PMID: 30759289; doi:10.1007/s10072-019-03743-4.
  21. Correlation of Prognostic Gleason Grade Grouping and Histopathological Parameters: Can the “New System” Reflect the Pathological Perspective for Prognosis? (2018); Dere Y, Altınboga AA, Yaldir E, Bal K, Tosun K, Sari A; Archives of Iranian Medicine; 21(11), 518-523; PMID: 30551692.
  22. The effect on outcomes of the application of circumferential cerclage cable following intramedullary nailing in reverse intertrochanteric femoral fractures. (2019); Imerci A, Aydogan NH, Tosun K; European Journal of Orthopaedic Surgery & Traumatology; 29 (4), 835-842; PMID: 30523463; doi:10.1007/s00590-018-2356-y. 
  23. Association between obstructive sleep apnea syndrome and waist-to-height ratio. (2018); Unal Y, Ozturk DA, Tosun K, Kutlu G; Sleep and Breathing; 23 (2), 523-529; PMID: 30238284; doi:10.1007/s11325-018-1725-4.
  24. Evaluation of Erythroid Disturbance and Thiol-Disulphide Homeostasis in Patients with Psoriasis. (2018); Demir PS, Pektas G, Tosun K, Dogan G, Neselioglu S, Erel O; BioMed Research International; PMID: 29967791; doi:10.1155/2018/9548252. 
  25. A comparison of the InterTan Nail and Proximal Femoral Nail Antirotation in the Treatment of Reverse Intertrochanteric Femoral Fractures. (2018); Imerci A, Aydogan NH, Tosun K; Acta Orthopaedica Belgica; 84(2), 123-131; PMID: 30462594.
  26. Agreement between the Turkey Guidelines and the Fracture Risk Assessment Tool-based Intervention Threshold. (2018); Imerci A, Aydogan NH, Tosun K; Journal of Bone Metabolism; 25(2), 79-86; PMID: 29900157; doi:10.11005/jbm.2018.25.2.79. 
  27. Evaluation of inter- and intra-observer Reliability of Current Classification Systems for Subtrochanteric Femoral Fractures. (2018); Imerci A, Aydogan NH, Tosun K; European Journal of Orthopaedic Surgery & Traumatology; 28(3), 499–502; PMID: 29110093; doi:10.1007/s00590-017-2065-y.
  28. The Effects of Vascular Diameters on the Maturation and Patency of the Arteriovenous Fistulas for Hemodialysis. (2017); Depboylu BC, Yazman S, Tosun K; Medical Journal of Mugla Sitki Kocman University, 4(3), 1-6. http://dergipark.gov.tr/muskutd/issue/38567/397613
  29. Can relative area of medial clavicular epiphysis be used for age estimation? (2017); (in Turkish); Yeniceri IO, Tosun K, Balci Y; Turkish Journal of Forensic Medicine; 31(2), 53-58; doi:10.5505/adlitip.2017.24582.
  30. Stochastic asymptotic stability of SIR model with variable diffusion rates. (2015); Schurz H, Tosun K; Journal of Dynamics and Differential Equations, 27(1), 69-82; doi:10.1007/s10884-014-9415-9.
  31. Impact and interactions between smoking and traditional prognostic factors in lung cancer progression. (2009); Guo NL, Tosun K, Horn K; Lung Cancer; 66(3), 386-392; PMID: 19304339; doi:10.1016/j.lungcan.2009.02.012.
  32. An integrative genomic and proteomic approach to chemosensitivity prediction. (2009); Ma Y., Ding Z, Qian Y, Wan YW, Tosun K, Shi X, Castra V, Harner EJ, Guo NL; International Journal of Oncology; 34(1),107-115; PMID: 19082483; doi:10.3892/ijo_00000134.
  33. Confirmation of gene expression-based prediction of survival in non-small cell lung cancer. (2008); Guo NL, Wan YW, Tosun K, Lin H, Msiska Z, Flynn DC, Remick SC, Vallyathan V, Dowlati A, Shi X, Castranova V, Beer DG, Qian Y; Clinical Cancer Research; 14(24), 8213-8220; PMID:19088038; doi:10.1158/1078-0432.CCR-08-0095.