Yildiz Technical University

Faculty of Arts and Sciences

Department of Mathematics

 

Professor Dr. MUSTAFA BAYRAM

Yildiz Technical University

Department of Mathematics

34210-Davutpasa-Istanbul, TURKEY

Telephone: +90 212 3834352

Fax           : +90 212 3834314

e-mail: msbayram@yildiz.edu.tr     or  mbayram34@gmail.com

 

 

EDUCATION

            • Ataturk University,  Erzurum, Turkey, 1982-1986, B.S. Mathematics.

            • Ataturk University, Erzurum, Turkey, 1986-1988, M.S. Mathematics.

            • University of Bath, Bath, England, 1989-1993, Ph.D. Applied Mathematics.

 

 

ACADEMIC POSITIONS

            • 1986-1988: Teaching/ Research assistant, Ataturk University, Erzurum.

            • 1989-1994: Research assistant, Bath University, Bath, England.

            • 1994-2000: Assistant Professor, Ataturk University, Erzurum.

            • 2000-2004: Associate Professor, Ataturk University, Erzurum.

            • 2004-2005: Associate Professor, Yildiz Technical  University, İstanbul

            • Professor, Yildiz Technical  University, İstanbul.

 

 

PROFESSIONAL EXPERIENCE

            • April 1996 - April 2004:  Head of Applied Mathematical Division at University of Ataturk.

            • April 1996 - April 2004:  Vice  chairman of Department of Mathematic   at  Ataturk University.

            • February 2005 -     : Vice  Chairman of Department of Mathematic  at Yildiz technical University.

 

 

THESIS WRITTEN

                        • PhD (1993):  Title: Computer Algebra Approaches to Enzymes Kinetics.    

                   Mathematical Sciences, University of Bath, UK.

                        • Master of Science (1988) :  Title: Alexander Polynomials.                   

                   Mathematical Sciences, Ataturk  University,  Erzurum,TURKEY 

 

RESEARCH INTERESTS

            • Numerical Solution of Differensial-Algebraic Equations, 

            • Mathematical Modelling and Industrial Mathematics

            • Metabolic Control Theory, 

            • Computer Algebra Approaches to Enzymes Kinetics,  

 

TEACHING

        • Calculus I , II and III

        • Mathematics for Health  Sciences

                        • Business Mathematics  

                        • Linear Algebra

                        • Ordinary Differential Equation

                        • Partial Differential Equation 

                        • Advance Numerical Analysis

                        • Numerical Analysis

                        • Computer Algebra 

                        • Computer Programming ( C, C++, C#, JAVA, FORTRAN, BASIC, Etc.)

 

 PERSONAL

        • Turkish Nationality, Birthdate: 10.01.1960 in Giresun, TURKEY.

        • Native Turkish speaker, fluent in English.

 

International Articles(Article in Science Citational Index  and Science Citation Index Expanded)

  1. M Bayram and J P Bennett, "A Simple General Purpose Technique for Interfacing Between Computer Algebra and Numerical analysis Systems", Design and Implementation of Symbolic Computation Systems, 721, p 145-152, 1992.
  2. M Bayram, J P Bennett and M C Dewar, "Using Computer Algebra to Determine Rate Constants in Biochemistry", Acta Biotheoretica, 41, p 53-62, 1993.
  3. M Bayram, "Automatic Analysis of the Control of Metabolic Networks.", Computers in Biology and Medicine, An International Journal, vol.26, No:5, p 401-408, 1996.
  4. M Bayram, "Automatic Derivation of Steady State Rate Laws Using a Computer Algebra System", Proc. Indian natn. Sci. Acad., 63, A, No.3, p 241-249., 1997.
  5. M Bayram, "A Novel Method for Analysing Enzyme Kinetic Systems", Applied Mathematics and Computation, 87, p 161-174, 1997.
  6. E Çelik and M Bayram, "The Numerical Solution of Phsical problems modelled as a systems of Differential-Algebraic Equations(DAEs)", Journal of the Franklin Institute, 342/1 p 1-6, 2005.
  7. M Bayram, "Application of Computer Algebra Techniques to Affinity Binding Equations", Applied Mathematics and Computation, 94, p 83-90., 1998.
  8. M Bayram, "Application of Computer Algebra Techniques to Enzyme Kinetics", Applied Mathematics and Computation, 94, p 73-81, 1998.
  9. M Bayram and B Yildiz, "Parameter Estimation of the Enzyme Kinetics System Using Computer Algebra Techniques ", Applied Mathematics and Computation, 99/1, p 93-98, 1999.
  10. N Yıldırım and M Bayram, "Derivation of Conservation Relationships for Metabolic Networks Using MAPLE ", Applied Mathematics and Computation, 112/1, p 255-263, 2000.
  11. N Yıldırım and M Bayram, "An Analysis of the Kinetics of Unstable Enzymatic Systems Using MAPLE", Applied Mathematics and Computation, 112/2, p 41-48, 2000.
  12. B Yildiz, M Bayram and M A Rasulov, "On a method of calculation of the first phase saturation during the process of displacement of oil by water from porous media", Applied Mathematics and Computation, 85, p 1-16, 1997.
  13. M Bayram and E Çelik, "Simultaneous Solution of Polynomial Equations", Applied Mathematics and Computation, 133, p 533-538, 2002.
  14. M Bayram, H Şimşek and Necmettin Yıldırım, "Automatic Calculation Of Alexander Polynomials Of (3,k)-Torus Knots", Applied Mathematics and Computation, 136, p 505-510, 2003.
  15. E Çelik and M Bayram, "Arbitrary Order Numerical Method for Solving Differential-Algebraic Equation by Padé Series ", Applied Mathematics and Computation, 137, p 57-65, 2003.
  16. E Çelik and M Bayram, "On the Numerical Solution of Differential- Algebraic Equations by Padé Series ", Applied Mathematics and Computation, 137, p 151-160, 2003.
  17. E Çelik, E Karaduman and M Bayram, "Numerical Solutions of Chemical Differential-Algebraic Equations", Applied Mathematics and Computation, 139/2-3, p 259-264., 2003.
  18. E Çelik, E Karaduman and M Bayram, "Numerical Method to Solve Chemical Differential-Algebraic Equations", International Journal of Quantum Chemistry, 89(5), p 447-451, 2002.
  19. M Bayram and E Celik, "Application of computer algebra-techniques to metabolic control analysis ", Computational Biology and Chemistry, 27/2, p 141-146, 2003.
  20. E Çelik, Arzu Aykut and M Bayram, "The Ordinary Successive Approximations Method and Padé Approximants for Solving a Differential Equation with Variant Retarded Arguman", Applied Mathematics and Computations, 144/1, p 173-180., 2003.
  21. Arzu Aykut, E Çelik and M Bayram, "The Modified two Sided Approximations Method and Padé Approximants for Solving the Differential Equation with Variant Retarded Argumend. ,", Applied Mathematics and Computation, 144/2-3, p 475-482, 2003.
  22. H Şimşek, M Bayram and İsmail Can, "Automatic Calculation of Minimum Crossing Numbers of 3-Braids", Applied Mathematics and Computation, 144/2-3, p 507-516., 2003.
  23. E Çelik and M Bayram, "A Numerical Solution of the Elasticity Problem of Settled of the Wronkler Ground with Variable Coefficients. Applied Mathematics and Computation", Applied Mathematics and Computation, 150/3, p 821-831, 2004.
  24. E Celik, A Aykut and M Bayram, "The Modified Successive Approximations Method and Padé Approximants for Solving the Differential Equation with Variant Retarded Argumend", Applied Mathematics and Computation, 151/2 p 393-400, 2004.
  25. M Bayram, "Application of computer Algebra Matrix operation Techniques to the Control of Metabolic Networks", Applied Mathematics and Computation, 152/1 p 289-297, 2004.
  26. H Şimşek, M Bayram and U Yavuz, "A computer Program to Calculate Alexander Matrix from Wirtinger Presentation of the Given Knot", Applied Mathematics and Computation, 153/1 p 199-204, 2004.
  27. M Bayram and E Çelik, "Application of Gröbner Basis Techniques to Enzyme Kinetics", Applied Mathematics and Computation, 153/1 p 97-109, 2004.
  28. E Çelik and M Bayram, "Numerical Solution of Differential-Algebraic Equation Systems and Applications", Applied Mathematics and Computation, 154/2 p 405-413, 2004.
  29. E Çelik and M Bayram, "The Basic Successive Substitute Approximations Method and Padé Approximations Method to Solve the Elasticity Problem of Settled of the Wronkler Ground with Variable Coefficients", Applied Mathematics and Computation, 154/2 p 495-505, 2004.
  30. M Bayram, "Derivation of conservation relationships for catalytic cycles using MAPLE", Applied Mathematics and Computation, 160/1, p 189-195, 2005.
  31. A Küçük and M Bayram, "Automatic Calculation of the Fundamental Group of an Oriented Surface of Genus with Boundary Surfaces", Applied Mathematics and Computation, 162/1 p 1-6, 2005.
  32. M Bayram and N Yildirim, "Metabolic Control Analysis of Trio Enzymes System.", Applied Mathematics and Computation, 170/2, p 948-957, 2005.
  33. N Guzel and M Bayram, "On the Numerical Solution of Stiff Systems", Applied Mathematics and Computation, 170/, p 230-236, 2005.
  34. N Guzel and M Bayram, "Numerical Solution of Differential-Algebraic Equations with Index-2 ", Applied Mathematics and Computation, 174/2, p 1279-1289, 2006.
  35. N GUZEL and M BAYRAM, "On the Numerical Solution of Differential-Algebraic Equations with Index-3", Applied Mathematics and Computation, 175/2, p 1320-1331, 2006.
  36. M Bayram and E Celik, "Chebyshev Approximation for Numerical Solution of Differential-Algebraic Equation", International Journal of Applied Mathematics & Statistics(IJAMAS), 2, p 29-36, 2004.
  37. M Bayram, N.Guzel and E Celik, "Application of Gröbner Bases Theory to Derive Steady State Rate Equations in Biochemical Kinetic Theory", International Journal of Applied Mathematics & Statistics (IJAMAS), 3, p 5159, 2005.
  38. M Bayram ,E Celik and T Yeloglu, "Solution of the System of Differential-algebraic Equations by Adomian Decomposition Method", International Journal of Pure and Applied Mathematics Sciences, 3, No:1, p8, 2006.
  39. Coskun GULER, Mustafa BAYRAM and Nuran GUZEL, "On the Solution of an Inverse Scattering Problem on the Semi-Axis with a Self Adjoint Potential Matrix", International Journal of Pure and Applied Mathematics, 29 N:2, p 269-280, 2006.
  40. Nuran GUZEL, Mustafa BAYRAM and Coşkun GULER, "On the Numerical Solution of Lane-Emden Differential Equations with Index-M", Far East Journal of Applied Mathematics, Volume 29, Issue 2, Pages 185 - 356, 2007.

Articels in National Periodicals 

  1. M Levent and M Bayram, "Desing and calibration of a capillary flowmeter set for measurement of gas flows", Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 4(1-2),, 4(1-2), p 513-517, 1988.
  2. N guzel and M Bayram, "Power Serıes Solutıon of Non-Lınear Fırst Order Dıfferentıal Equation Systems", Trakya Üniversitesi Dergisi, 6/1, pp 107-111, 2005.
  3. Muhammet KURULAY and Mustafa BAYRAM, "Power Series Solution of Differentıal Algebraic Equation", Journal of the Institute of Science and Technology of Dumlupınar University, 13, p 39-44, 2007.
  4. Burcu Özyurt SERİM ve Mustafa BAYRAM, "Lyapunov Metodu İle Fark Denklemlerinin Kararlılığının Belirlenmesi", Journal of the Institute of Science and Technology of Dumlupınar University, 13, p 31-38, 2007.
  5. Murat OSMANOGLU, Muhammet KURULAY and Mustafa BAYRAM, "Sabit Katsayılı Lineer Diferensiyel Cebirsel Denklemlerin Diferensiyel Dönüşüm Yöntemi İle Nümerik Çözümü", Journal of the Institute of Science and Technology of Dumlupınar University, 13, p 45-53, 2007.

Participation at Congress and Presented Papers (international)

  1. M Bayram, JP Bennett and MC Dewar, "Using computer algebra to determine rate contstants in biochemistry", 11th Conference of the School of Theoretical Biology, Limoges, France, 3-5 June, , 1991.
  2. M Bayram and JP Bennett, "A Simple General Purpose Technique for Interfacing Between Computer Algebra and Numerical Analysis System", DISCO, Bath, England, April 13-15,, , 1992.
  3. N Yıldırım and M Bayram, "Symbolic and Numeric Computations in Kinetic Analysis of Multi Enzyme Systems in Biochemistry", 2nd International Conference on: Mathematics and Computers in Physics, Vouliagmeni, Athens, Greece, July 9-16, , 2000.
  4. N Yıldırım, H Yetiskin and M Bayram, "Automatic Derivation of Conservation Relationships for Metabolic Pathways: A MAPLE Program,", Mathematical Modeling and Scientific Computing, An International Conference, Ankara-Konya, Turkey, 2-6 April, , 2001.

Participation at Congress and Presented Papers (National)

  1. M Bayram, "Application of Computer Algebra Techniques to Affinity Binding Equations ", Ord. Prof.Dr. Cahit Arf’ın 85.doğum günü onuruna matematik sempozyumu, 2-3 November 1995, İTÜ, Istanbul, TURKEY, , 1995.
  2. M Bayram, "Use of Gröbner Bases in Enzyme Kinetic models", IX. Ulusal Matematik sempozyumu, İstanbul Teknik Üniversitesi, İstanbul, TURKEY, 2-6 September, 1996.
  3. M Bayram, "Application of Computer Algebra Techniques to Enzyme Kinetics", Matematik Sempozyumu, Balıkesir, Turkey, 23-26 May, 1996.
  4. B Yıldız and M Bayram, "Numerical Solution of Elasticity Problem of Beam with and End Points Free", Matematik Sempozyumu, Balıkesir, Turkey, 23-26 May, 1996.
  5. M Güner and M Bayram, "Application of Computer Algebra Techniques to Metabolic control analysis", Matematik Sempozyumu, Balıkesir, Turkey, 5-8 June, 1997.
  6. E Çelik and M Bayram, "Application of Gröbner Basis Techniques to Enzyme Kinetics", Matematik Sempozyumu, Balıkesir, Turkey, 5-8 June, 1997.
  7. M Bayram and N Yıldırım, "Enzim Kinetik Problemlerinde Korunum Bağıntılarının Hesaplanması", Uygulamalı Matematik Günleri, Karaelmas Üniversitesi, Zonguldak, Turkey, 11-12 June, 2000.
  8. E Çelik and M Bayram, "An Alternatif Method for Simultaneous Solution of Polynomial Equations", XIII. Ulusal Matematik Sempozyumu, İstanbul, Turkey, 6-9 September, 2000.
  9. N Yildirim, M Bayram, M Ciftci and OI Kufrevioglu, "Sembolik ve Nümerik Metotlarla Çok Enzimli Bağli Sistemlerin Kinetiklerinin İncelenmesi", Ulusal Kimya Kongresi, Dicle Universitesi, Diyarbakır, Turkey, 10-15 September, 2000.
  10. E Çelik and M Bayram, "Numerical Method for Solving Differential-Algebraic", Palandöken Matematik Günleri, Erzurum, Turkey, 28-30 June, 2001.
  11. İ Can and M Bayram, "İnternetten Tez Okuma Sihirbazı", Palandöken Matematik Günleri, Erzurum, Turkey, 28-30 June, 2001.
  12. E Çelik and M Bayram, "On the Numerical Solutions of Chemical Differential-Algebraic Equations", XIV. Ulusal Matematik Sempozyumu, Anadolu Üniversitesi, Eskişehir, Turkey, 19-21 September, 2001.
  13. M Bayram and H yetişkin, "Derivation of conservation relationships for Branched Metabolic Pathways Using MAPLE", XX. Ulusal Matematik Sempozyumu, Erzurum, Turkey, 3-6 September, 2007.

             

Master Students

1.      Mehmet Güner, "Çok Değişkenli Polinom Tipindeki Denklem Sistemlerinin Gröbner Bazı Metodu ile Çözümü ve Uygulamaları", Atatürk Üniversitesi, Fen Bilimleri Enstitüsü, 1996-1998.

2.      Ercan Çelik, "Gröbner Bazı ve Uygulamaları", Atatürk Üniversitesi, Fen Bilimleri Enstitüsü, 1996-1998.

3.      Hakan Yetişkin, "Matris Teorisinin Biyokimyasal Kinetiğe Uygulaması", , 1998-2000.

4.      İsmail Can, "Satranç Atı Probleminde Kullanılan Arama Algoritmaları, Özellikleri ve Çözümleri", Atatürk Üniversitesi, Fen Bilimleri Enstitüsü, 2000-2002.

5.      Muhammet Kurulay, "Diferensiyel-Cebirsel Denklemlerin Kuvvet serisi İle Çözümü", Yıldız Technical University, 2004-2006.

6.      Murat Osmanoğlu, "Diferensiyel Transform Metodunun Diferensiyel-Cebirsel Denklemlere Uygulaması", Yıldız Technical University.  2007.

7.      Bayram Ali İBRAHİMOĞLU, Rational interpolation and its Aplications,  Yıldız Technical University, 2008.

 

PhD students

1.      Necmettin Yıldırım, "Sembolik ve Nümerik Metotlarla Enzim Kinetiği Problemlerinin İncelenmesi", Atatürk Üniversitesi, Fen Bilimleri Enstitüsü, 1997-2000.

2.      Ercan Çelik, "Diferensiyel-Cebirsel Denklemlerin Nümerik Çözümü", Atatürk Üniversitesi, Fen Bilimleri Enstitüsü, 1998-2002.

3.      Sabahat Ebru Yeni, Yıldız Technical University, 2006- Continuing.

4.      Meseret Tuba Oylumlu, Yıldız Technical University , 2006-Continuing.

5.      Muhammet Kurulay, Yıldız Technical University , 2007-Continuing.

Projects (finished)

43.     Applicationof Computer Algebra Technics to the Enzymes Kinetics, Atatürk Üniversitesi Araştırma Projesi, (1994/26).

44.     Use of Computer Algebra technics in Enzymes Analysis, Atatürk Üniversitesi Araştırma Projesi, (1997/25).

45.     Use of Computer in Education, Atatürk Üniversitesi Araştırma Projesi, (2002/48).

 

Published Boks

 

1.    Numerical Analysis, M Bayram, Aktif Yayınevi, (ısbn 975-6755-50-4), Ankara Cad. Nakipoğlu İşhanı No:60/15 Sirkeci  İstanbul.

2.    Probability and Statistic. M Bayram ve E Kadıoğlu, Atatürk Üniversitesi, FEF Yayınları, Yayın no:195. Erzurum.

3.    Differential Equations, M Bayram, Aktif yayınevi, 2006, İstanbul.