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1
Dissertation/ Thesis
Un modelo matemático de diabetes basado en ecuaciones diferenciales estocásticas ; A mathematical model of diabetes based on stochastic differential equations

Authors: Capera Tovar, Cindy Lorena

Contributors: Ruiz Vera, Jorge Mauricio

Subject Terms: 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas, ECUACIONES DIFERENCIALES ESTOCASTICAS, ECUACIONES DIFERENCIALES-SOLUCIONES NUMERICAS, Stochastic differential equations, Differential equations - numerical solutions, Diabetes, Insulina, Glucosa, Procesos estocásticos, Trayectorias brownianas, Insulin, Glucose, Stochastic processes, Brownian trajectories

File Description: xiv, 105 páginas; application/pdf

Relation: RedCol; LaReferencia; Barceló A. Diabetes in the Americas. Pan American Journal of Public Health 22 (2001).; Cobelli, C. Bettini, F. & Caumo, A. Overestimation of Minimal Model Glucose Effectiveness in Presence of Insulin Response is Due to Undermodeling. American of Physiology-Endocrinology and Metabolism (1998), E1031-E1036.; Oksendal B. Stochastic Differential Equations, An Introduction with Applications. New York: Springer-Verlag Heidelberg, Fifth Edition, 2000.; Hipszer, B.R. A Mathematical Model of Glucose Metabolism in Hospitalized Patients with Diabetes and Stress Hyperglycemia. Pensilvania, Estados Unidos: Drexel University, 2008.; Zamarron, C. Modelos matemáticos del sistema regulador glucosa-insulina en pacientes diabéticos con retraso de tiempo. Tesis de maestría. Madrid: Universidad Pontificia Comillas, 2021.; Bergman, R.N. Ider, Y.Z. & Bowden, C.R. Quantitative estimation of insulin sensitivity. American Journal of Physiology-Endocrinology and Metabolism 236 (1979), págs. 667-677.; Diabetes Education. https://dtc.ucsf.edu/. 2020.; Salud DKV. Glucosa. https://quierocuidarme.dkv.es/salud-para-todos/glucosa-que-es. 2017.; Allen, E. Modeling with Ito Stochastic Differential Equations. Texas Tech University, USA: Springer, Volume 22, 2007.; Platen, E. Numerical solution of stochastic differential equations. New York: Springer, 1992.; Vilhjálmsdóttir, E. Deterministic and Stochastic Modeling of Insulin Sensitivity. Tesis de maestría. Chalmers University of Technology, 2013.; Cuatrecasas, G. Complicaciones crónicas de la diabetes. Barcelona, España, 2018.; Dávila, C.A. Agudelo, M. & Hernández, G. Diabetes en México y Colombia: Análisis de la tendencia de años de vida perdidos, 1998-2007. Revista de salud pública 13 (2011), págs. 560-571.; Glicksman, H. When blood glucose control fails. Evolution news and science (2018).; Cisneros, I. Modelos matemáticos para la diabetes. Tesis de maestría. España: Universidad de Cantabria, 2014.; Kapur, J.N. Mathematical Modelling. New Delhi: New age international publishers, 1998.; Ackerman, E. Gatewood, L.C. & Rosevear, J.W. Model studies of blood-glucose regulation. Boletín of mathematical biophysics 27 (1965), págs. 21-37.; Morton, K.W. Numerical Solution of Partial Differential Equations. New York: Cambridge University Press, 1994.; Blanco, L. Probabilidad. Bogotá D.C.: Universidad Nacional de Colombia, 2004; Braun, M. Ecuaciones diferenciales y sus aplicaciones. México D.F.: Grupo Editorial Iberoamérica, 1990.; Elaine, M. Anatomía y fisiología humana. Madrid, España: Pearson, 2008.; Drucker, D. & Nauck, M.A. The incretin system in type 2 diabetes. Lancet 368 (2006), págs. 1696-1705.; Sarwar, N. Diabetes mellitus, fasting blood glucose concentration, and risk of vascular disease. Lancet 375 (2010), págs. 215-222.; Organización Mundial de la Salud OMS. Informe mundial sobre la diabetes. www.who.int/diabetes. 2016.; Producción de insulina. https://www2.uned.es/pea- nutricion- y- dieteticaI/guia/enfermedades/diabetes/manual_produccion_de_ins.htm. 2021.; López, R. Métodos numéricos para la solución de ecuaciones diferenciales estocásticas. Tesis de maestría. Universidad Autónoma de Puebla, 2014.; Rupert, R. Causes of vision loss worldwide, 1990-2010: a systematic analysis. Lancet Glob Health 339 (2013), pág. 49.; Saran, R. US Renal Data System 2014 Annual Data Report. Am J Kidney Dis 66 (2015), pág. 545.; Duun, A.K. Schmidt, S. & Roge, R.M. Model identification using stochastic differential equation Grey-Box models in diabetes. Journal of Diabetes Science and Technology 7 (2013), págs. 431-440.; Morales, V. Ampliación de un modelo matemático incluyendo la actividad física para la predicción de los niveles de glucosa en sangre de forma continua en pacientes diabéticos. Tesis de maestría. Universidad Politécnica de Cartagena, 2017.; VectorStock. Human glucose levels hyperglycemia normal vector. https://www.vectorstock.com/royalty-free-vector/human-glucose-levels-hyperglycemia-normal-vector-21042423. 2021.; Zhifang, Z. Zhan, Q. & Xie, X. Numerical Study on Stochastic Diabetes Mellitus Model with Additive Noise. Hindawi (2019), pág. 8.; https://repositorio.unal.edu.co/handle/unal/81776; Universidad Nacional de Colombia; Repositorio Institucional Universidad Nacional de Colombia; https://repositorio.unal.edu.co/

Availability: https://repositorio.unal.edu.co/handle/unal/81776
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2
Dissertation/ Thesis
Quantificação da incerteza de sistemas vibratórios discretos via método de Faedo-Galerkin-Estocástico ; Quantification of uncertainties of discrete vibrations systems by Stochastic-Faedo-Galerkin method

Authors: Cavichiolo, Joao Lucas

Contributors: Silva Junior, Claudio Roberto Avila da, orcid:0000-0001-8662-9771, http://lattes.cnpq.br/9248567058033141, Silva Neto, Joao Morais da, http://lattes.cnpq.br/3326147444101514, Almeida, Julio Cezar de, orcid:0000-0003-4164-8041, http://lattes.cnpq.br/9982194093284947, Gomes, Marcio Henrique de Avelar, orcid:0000-0001-7279-9307, http://lattes.cnpq.br/6090334823327910

Subject Terms: Vibração, Monte Carlo, Método de, Métodos de simulação, Runge-Kutta, Fórmulas deRunge-Kutta formulas, Equações diferenciais - Soluções numéricas, Vibration, Monte Carlo method, Simulation methods, Runge-Kutta formulas, Differential equations - Numerical solutions, CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOS, Engenharia Mecânica

File Description: application/pdf

Relation: CAVICHIOLO, Joao Lucas. Quantificação da incerteza de sistemas vibratórios discretos via método de Faedo-Galerkin-Estocástico. 2020. Dissertação (Mestrado em Engenharia Mecânica e de Materiais) - Universidade Tecnológica Federal do Paraná, Curitiba, 2020.; http://repositorio.utfpr.edu.br/jspui/handle/1/24343

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4
Dissertation/ Thesis
Aplicação de métodos numéricos para a integração de equações diferenciais de modelos de evolução de trinca à amplitude de tensão constante

Authors: Moura, Lucas Gimenis de

Contributors: Silva Júnior, Claudio Roberto Ávila da

Subject Terms: Análise numérica, Equações diferenciais - Soluções numéricas, Mecânica aplicada, Numerical analysis, Differential equations - Numerical solutions, Mechanics, Applied, CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOS::ANALISE DE TENSOES

File Description: application/pdf

Relation: MOURA, Lucas Gimenis de. Aplicação de métodos numéricos para a integração de equações diferenciais de modelos de evolução de trinca à amplitude de tensão constante. 2014. 39 f. Trabalho de Conclusão de Curso (Graduação) – Universidade Tecnológica Federal do Paraná, Curitiba, 2014.; http://repositorio.utfpr.edu.br/jspui/handle/1/10195

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5
Dissertation/ Thesis
Exploração numérica e analítica de um problema de controle ótimo da concentração/quantidade de álcool no sangue

Authors: Rodrigues, Ricardo Nazar

Contributors: Sanchez, Andres David Baez, Gonçalves, João Luis, Bernardes, Mateus, Ortega Junior, Rubens Robles

Subject Terms: Álcool no organismo, Modelos matemáticos, Equações diferenciais - Soluções numéricas, Alcohol in the body, Mathematical models, Differential equations - Numerical solutions, CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADA

File Description: application/pdf

Relation: RODRIGUES, Ricardo Nazar. Exploração numérica e analítica de um problema de controle ótimo da concentração/quantidade de álcool no sangue. 2015. 69 f. Trabalho de Conclusão de Curso (Graduação) – Universidade Tecnológica Federal do Paraná, Curitiba, 2015.; http://repositorio.utfpr.edu.br/jspui/handle/1/9054

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6
Dissertation/ Thesis
Error Estimation Methods for the Finite-Difference Solution for Poisson’s Equation

Authors: Omar, Haji Omar

Contributors: Dosiyev, Adiguzel

Subject Terms: Mathematics, Finite differences - Difference equations, Differential equations - Numerical solutions, Finite-difference, maximum principle, Gerschgorin’s majorant method, Green’s function, Green’s third identity

Relation: Omar, Haji Omar. (2015). Error Estimation Methods for the Finite-Difference Solution for Poisson’s Equation. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.; http://hdl.handle.net/11129/2837

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7
Dissertation/ Thesis
Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations

Authors: Saufianim, Jana Aksah

Subject Terms: Differential equations - Numerical solutions, Numerical analysis

File Description: text

Relation: http://psasir.upm.edu.my/id/eprint/93064/1/FS%202021%2053%20IR.pdf; Saufianim, Jana Aksah (2021) Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations. Doctoral thesis, Universiti Putra Malaysia.

Availability: http://psasir.upm.edu.my/id/eprint/93064/
http://psasir.upm.edu.my/id/eprint/93064/1/FS%202021%2053%20IR.pdf


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8
Dissertation/ Thesis
Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations

Authors: Abd Rasid, Norshakila

Subject Terms: Differential equations - Numerical solutions, Stiff computation (Differential equations)

File Description: text

Relation: http://psasir.upm.edu.my/id/eprint/92775/1/FS%202021%2038%20-%20IR.pdf; Abd Rasid, Norshakila (2021) Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations. Doctoral thesis, Universiti Putra Malaysia.

Availability: http://psasir.upm.edu.my/id/eprint/92775/
http://psasir.upm.edu.my/id/eprint/92775/1/FS%202021%2038%20-%20IR.pdf


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9
Dissertation/ Thesis
Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications

Authors: M., Allogmany Reem Ayed

Subject Terms: Differential equations - Numerical solutions, Differential equations

File Description: text

Relation: http://psasir.upm.edu.my/id/eprint/92773/1/FS%202021%2033%20-%20IR.pdf; M., Allogmany Reem Ayed (2021) Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications. Doctoral thesis, Universiti Putra Malaysia.

Availability: http://psasir.upm.edu.my/id/eprint/92773/
http://psasir.upm.edu.my/id/eprint/92773/1/FS%202021%2033%20-%20IR.pdf


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10
Dissertation/ Thesis
Numerical Solutions of Fractional Differential Equations

Authors: Avcı, İbrahim

Contributors: Mahmudov, Nazım

Subject Terms: Mathematics, Fractional calculus - Differential equations, Differential equations - Numerical solutions, R-L Fractional Derivative, Caputo Fractional Derivative, Adams-Bashforth-Moulton Method, Fractional Differential Equations Moulton Method, Fractional Differential Equations

Relation: Avcı, İbrahim. (2014). Numerical Solutions of Fractional Differential Equations. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.; http://hdl.handle.net/11129/3650

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12
Academic Journal
Variable steps implicit block multistep method for solving first order ODEs

Authors: S., Mehrkanoon, Abdul Majid, Zanariah, Suleiman, Mohamed

Subject Terms: Differential equations - Numerical solutions, Variables (Mathematics)

Relation: S., Mehrkanoon and Abdul Majid, Zanariah and Suleiman, Mohamed (2010) Variable steps implicit block multistep method for solving first order ODEs. Journal of Computational and Applied Mathematics, 233 (9). 2387 -2394. ISSN 0377-0427

Availability: http://psasir.upm.edu.my/id/eprint/17583/
http://dl.acm.org/citation.cfm?id=1698582


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14
Dissertation/ Thesis
Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications

Authors: Mohd Ijam, Hazizah

Subject Terms: Differential equations, Differential equations - Numerical solutions

File Description: text

Relation: http://psasir.upm.edu.my/id/eprint/99229/1/IPM%202021%209%20IR.pdf; Mohd Ijam, Hazizah (2020) Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications. Doctoral thesis, Universiti Putra Malaysia.

Availability: http://psasir.upm.edu.my/id/eprint/99229/
http://psasir.upm.edu.my/id/eprint/99229/1/IPM%202021%209%20IR.pdf


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15
Academic Journal
Partitioning ordinary differential equations using multistep formulas.

Authors: Suleiman, Mohamed, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar

Subject Terms: Differential equations, Differential equations - Numerical solutions

Relation: Suleiman, Mohamed and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar (2008) Partitioning ordinary differential equations using multistep formulas. World Academy of Science, Engineering and Technology, 16. pp. 52-53. ISSN 2010-376X

Availability: http://psasir.upm.edu.my/id/eprint/16054/


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17
Dissertation/ Thesis
Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay

Authors: Ismail, Nur Inshirah Naqiah

Subject Terms: Differential equations - Numerical solutions, Numerical analysis

File Description: text

Relation: http://psasir.upm.edu.my/id/eprint/85750/1/IPM%202020%203%20-%20ir.pdf; Ismail, Nur Inshirah Naqiah (2019) Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay. Masters thesis, Universiti Putra Malaysia.

Availability: http://psasir.upm.edu.my/id/eprint/85750/
http://psasir.upm.edu.my/id/eprint/85750/1/IPM%202020%203%20-%20ir.pdf


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19
Dissertation/ Thesis
Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods

Authors: Rajabi, Marzieh

Subject Terms: Differential equations, Differential equations - Numerical solutions

File Description: text

Relation: http://psasir.upm.edu.my/id/eprint/92716/1/FS%202019%2090%20IR.pdf; Rajabi, Marzieh (2018) Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods. Masters thesis, Universiti Putra Malaysia.

Availability: http://psasir.upm.edu.my/id/eprint/92716/
http://psasir.upm.edu.my/id/eprint/92716/1/FS%202019%2090%20IR.pdf


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