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Markus Müller Bender

Nivel

Profesor Titular C

SNII

III

Departamento

Física

 

Líneas de investigación

Análisis y Modelación de Sistemas Complejos

  • Desarrollo de nuevas técnicas de análisis multivariantes

 

  • Estudio de la dinámica cerebral durante ataques epilépticos focales

 

  • Estudio de la dinámica de la red funcional durante el ciclo de sueño

 

  • Interrelación entre el ciclo de sueño y epilepsia

 

  • Investigar procesos de cognición y el papel de la corteza auditiva para actividades motoras y cognitivas

 

  • Investigar mecanismos que fomentan la acción en conjunto y la comunicación no-verbal

 

El enfoque principal de las actividades de mi grupo de investigación es el desarrollo de métodos de análisis y su aplicación a datos empíricos que provienen de sistemas complejos tan diferentes como el transporte público en Cuernavaca, la actividad eléctrica cerebral, reacciones químicas, sistemas biológicos y seres humanos actuando en conjunto. Para ello se usan técnicas que tienen su origen en la teoría de matrices aleatorias, análisis de fluctuaciones, teoría de gráficas, sistemas dinámicos y también se derivan métodos con base en la teoría de información. Se aplican diferentes medidas lineales y no-lineales para estimar propiedades uni- bi- y multi-variantes de datos empíricos. Además se realizan estudios con simulaciones numéricas mediante el uso de modelos de autómatas celulares, sistemas dinámicos o sistemas de reacción difusión.

Formación

Dr. Rer. Nat. (Ph.D.):
Junio 1995, en la Universidad Técnica de Dresden, Tesis: “Zur Herausbildung verschiedener Zeitskalen beim Zerfall von Coumpoundkern-resonanzen als Folge des Trapping Effekts”, Asesor de Tesis: Prof. Dr. I. Rotter, Evaluación: magna cum laude
Diploma (Maestría):
Julio 1991, en la Rheinische Friedrich Wilhelm Universitaet Bonn, Tesis: “Aufbau eines hochtemperatur-Messofens fuer eine Gamma-Kaskaden Winkelkorrelations Aparatur und erste Messungen in Yttrium Metall”, Asesor de Tesis: Prof. Dr. Manfred Forker, Evaluación: sehr gut

Correo

muellerm@uaem.mx

Extensión

3273

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Publicaciones arbitradas

  1. Alberto Isaac Aguilar-Hernández, Carlos Antonio Marin-Mendoza, Rogelio Valdez, Markus F. Müller, Uniform approach to reproduce the Mandelbrot set, some of its inner structure as well as its complement with high sensitivity using Fourier phases, Chaos, Solitons and Fractals 198 (2025), 116575
  2. Pablo A. Nogueira-Islas, Paola V. Olguín-Rodríguez, Hugo Tlahuext-Aca, Markus F. Müller, (2025), “Uniform hyperscanning paradigm to study cooperation and competition”, MethodsX 14 (2025) 103139
  3. O. Marín–García, J.D. Arzate-Mena, M. Corsi-Cabrera, Z. Muñoz-Torres, P. V. Olguín–Rodríguez, W.A. Ríos–Herrera, A.L. Rivera, and M. F. Müller Stationary Correlation Pattern in highly non-stationary MEG recordings of healthy subjects and its relation to former EEG studies, Stationary correlation pattern in highly non-stationary MEG recordings of healthy subjects and its relation to former EEG studies. PLoS ONE 19(10): e0307378. (2024), https://doi.org/10.1371/journal.pone.0307378
  4. S. Ochoa-González, M. Corsi-Cabrera, T.H. Seligman, Z. Muñoz-Torres, M.F. Müller, Sub-Narrow Band Sleep Stage Analysis -Eigenvalues and Eigenvectors of the Multi-Band Cross-Correlation Matrix- Physica A, 130075, (2024), https://doi.org/10.1016/j.physa.2024.130075
  5. Apablaza-Yevenes DE, Corsi-Cabrera M, Martinez-Guerrero A, Northoff G, Romaniello C, Farinelli M, Bertoletti E, Müller MF, Muñoz-Torres Z., Stationay stable cross-correlation pattern and task specific deviations in unresponsive wakefulness syndrome as well as clinically healthy subjects, PLoS ONE 19, e0300075, (2024)
  6. Alberto Isaac Aguilar-Hernández, David Michel Serrano-Solis, José Fernando Zapata-Berruecos, Gloria Vilaclara, WadyA.Ríos-Herrera,GustavoMartínez-Mekler and Markus F. Müller, Fourier phase index for extracting signatures of determinism and nonlinear features in time series, Chaos 34, 013103 (2024)
  7. Alejandro Aguado-Garcíaa, América Arroyo-Valerioa, Galileo Escobedoa, Nallely Bueno-Hernándeza, P.V. Olguín-Rodríguez, Markus F. Müller, José Damián Carrillo-Ruiza, Gustavo Martínez-Mekler, Opportune warning of COVID-19 in a Mexican health care worker cohort: Discrete beta distribution entropy of smartwatch physiological records, Biomed. Proc. Contr. 84, 104975 (2023)
  8. Nallely Bueno-Hernández, José Damian Carrillo-Ruíz, Lucía A. Méndez-García, Salma A. Rizo-Téllez, Rebeca Viurcos-Sanabria, Alisson Santoyo-Chávez, René Márquez-Franco, Alejandro Aguado-García, Neyla Baltazar-López, Yoshio Tomita-Cruz, Eira Valeria Barrón, Ana Laura Sánchez, Edna Márquez, Ruben Fossion, Ana Leonor Rivera, Luis Ruelas, Octavio A. Lecona, Gustavo Martínez-Mekler, Markus Müller, América G. Arroyo-Valerio and Galileo Escobedo, High Incidence Rate of SARS-CoV-2 Infection in Health Care Workers at a Dedicated COVID-19 Hospital: Experiences of the Pandemic from a Large Mexican Hospital, Healthcare 10, 896, (2022)
  9. Ramos-Loyo, J., Olguín-Rodríguez, P. V., Espinosa-Denenea, S. E., Llamas-Alonso, L. A., Rivera-Tello, S., Müller, M. F. (2022). EEG functional brain connectivity strengthens with age during attentional processing to faces in children. Frontiers in Network Physiology, 2
  10. Manfred A. Müller, Antonieta Martínez-Guerrero, María Corsi-Cabrera, Alfred O. Effenberg, Matthias Hornschuh, Gerd Schmitz, and Markus F. Müller, How to orchestrate a soccer team: Generalizes Synchronization propomted by rhythmic acoustic stimuli. Hum. Neurosci. 16:909939. doi: 10.3389/fnhum.2022.909939, (2022)
  11. Antonieta Martínez-Guerrero, Alejandro Aguado-García, María Corsi-Cabrera, Gustavo Martínez-Mekler, Paola V. Olguín-Rodríguez, Wady A. Ríos-Herrera, José Fernando Zapata-Berruecos, Markus F. Müller, On Fourier phases and their relevance for nonlinear time series análisis, Physica A 604, 127878, (2022)
  12. Daniel Arzate-Mena, Eugenio Abela, Paola V. Olguín-Rodríguez, Wady Ríos-Herrera, Sarael Alcauter, Kaspar Schindler, Roland Wiest, Markus F. Müller, Christian Rummel, Stationary EEG pattern relates to large-scale resting state networks – An EEG-fMRI study connecting brain networks across time-scales, Neuroimage, 246, 118763, (2022) https://doi.org/10.1016/j.neuroimage.2021.118763
  13. Mauricio Toledo-Acosta, Talin Barreiro, Asela Reig-Alamillo, Markus Müller, Fuensanta Aroca Bisquert, Maria Luisa Barrigon, Enrique Baca-Garcia, and Jorge Hermosillo-Valadez, Cognitive Emotional Embedded Representations of Text to Predict Suicidal Ideation and Psychiatric Symptoms, Mathematics 2020, 8, 2088; doi:10.3390/math8112088
  14. Wady A. Ríos-Herrera, Paola V. Olguín-Rodríguez, J. Daniel Arzate- Mena,Maria Corsi-Cabrera, Joaquín Escalona, Arlex Marín-García, Julieta Ramos-Loyo, Ana Leonor Rivera, Daniel Rivera-López, José F. Zapata- Berruecos and Markus F. Müller, The Influence of EEG References on the Analysis of Spatio-Temporal Interrelation Patterns, Frontiers in Neuroscience 13:941, (2019)
  15. Paola V. Olguín-Rodríguez, J. Daniel Arzate-Mena, Maria Corsi-Cabrera, Heidemarie Gast, Arlex Marín-García, Johannes Mathis, Julieta Ramos Loyo, Irma Yolanda del Rio-Portilla, Christian Rummel, Kaspar Schindler, and Markus Müller, Characteristic Fluctuations Around Stable Attractor Dynamics Extracted from Highly Nonstationary Electroencephalographic Recordings, Brain Connectivity 8: 457-474, (2018)
  16. Alfredo González-Espinoza, Hernán Larralde, Gustavo Martínez-Mekler and Markus Müller, Multiple scaling behaviour and nonlinear traits in music scores, accepted in Open Science, (2017)
  17. Corkidi, F. Montoya, P. Hernández-Herrera, W.A: Rios-Herrera, M.F. Müller, C.L. Treviño, A. Darszon, Are there intracellular Ca2+ oscillations correlated with flagellar beating in human sperm? A three vs. Two- dimensional analysis, Mol. Hum. Reprod. 23(9) 583-593, (2017)
  18. Wady A. Rios Herrera, Joaquín Escalona Segura, Daniel Rivera López, Markus F. Müller, On the estimation of phase synchronization, spurious synchronization and filtering, Chaos: An Interdisciplinary Journal of Nonlinear Science,26(12), 123106, (2017)
  19. José C. Torres-Guzmán, Gustavo Martínez-Mekler, Markus F. Müller, Irregular Liesegang patterns in gas phase revisited. Part II: Statistical data analysis, J. Chem. 144(17):174702 (2016)
  20. José C. Torres-Guzmán, Thomas Buhse, Elsa María de la Calleja, Alfredo González-Espinoza, Gustavo Martínez-Mekler, José de Jesus Fernando Montoya-Nava, Elizeth Ramírez Álvarez, Marco A. Rivera-Islas, Aurora Rodríguez-Álvarez, Markus F. Müller, Irregular Liesegang-type patterns in the gas phase revisited: Part I. Experimental setup, data pre-processing and spacing law test, J. Chem. Phys. 144, 174701 (2016)
  21. Elizeth Ramírez Álvarez, José de Jesus Fernando Montoya Nava, Thomas Buhse, Wady Alexander Rios Herrera, José Concepción Torres Gúzman, Marco Rivera, Gustavo Martínez-Mekler, Markus F. Müller, On the dynamics of Liesegang-type pattern formation in a gaseous system, Scientific Reports 6 , 23402, (2016)
  22. Christian Rummel, Eugenio Abela, Ralph G. Andrzejak, Martinus Hauf, Claudio Pollo, Markus Müller, Christian Weisstanner, Roland Wiest,Kaspar Schindler Resected Brain Tissue, Seizure Onset Zone and Quantitative EEG Measures: Towards Prediction of Post-Surgical Seizure Control, PLoS ONE 10(10),(2015)
  23. Müller, C. Rummel, M. Goodfellow, K. Schindler, Standing waves as an explanation for generic stationary correlation patterns in noninvasive EEG of focal onset seizures, Brain Connectivity 4, (2014), 131-144
  24. Gast, M. Müller, C. Rummel, C. Roth, J. Mathis, K. Schindler, C. Bassetti, Epileptic seizures as condensed sleep: an analysis of network dynamics from electroencephalogram signals, J. Sleep Research, (2013), doi: 10.1111/jsr.12113
  25. O. Marín García, M. Müller, K. Schindler , C. Rummel, Genuine cross-correlations: which surrogate based measures reproduces analytical results best?, Neural Networks 45, (2013), 154
  26. Lee, HS. Lee, M. Müller, G-J. Noh, G.A. Mashour, Genuine and spurious phase synchronization strength during consciousness and general anesthesia, PlosOne 7, (2012), 1
  27. Lee, M. Müller, G-J. Noh, B. Choi, G.A. Mashour, Dissociable network properties of anesthetic state transitions, Anesthesiology 114, (2011), 872
  28. Müller, G. Baier, Y. Lopez Jiménez, A.O. Marín García, C. Rummel, K. Schindler, Evolution of genuine cross-correlation strength of focal onset seizures, J. Clin. Neurophysiol. 28, (2011), 450
  29. Rummel, E. Abela, M. Müller, M. Hauf, O. Scheidegger, R. Wiest, and K. Schindler, Uniform approach to linear and nonlinear interrelation patterns in multivariate time series, Physical Review E 83, (2011), 6621
  30. Rummel, M. Müller, G. Baier, F. Amor, K. Schindler, Analyzing spatio-temporal patterns of genuine cross-correlations, J. Neurosci. Meth. 191, (2010), 94
  31. Rummel, H. Gast, K. Schindler, M. Müller, F. Amor, C.W. Hess, J. Mathis, Assessing periodicity of periodic leg movements during sleep, Frontiers in Neuroscience 4, (2010), 1
  32. Schindler, F. Amor, H. Gast, M. Müller, A. Stibal, L. Mariani, C. Rummel, Peri-ictal correlation dynamics of high-frequency (80-200Hz) intracranial EEG, Epilepsy Research 89, (2010), 72
  33. M Müller and I. Rotter, Phase lapses in open quantum systems and the non-hermitian Hamilton operator, Phys. A 80, (2009), 4270
  34. Müller, G. Baier, C. Rummel, K. Schindler, Estimating the strength of genuine and random correlations in non-stationary multivariate time series, Europhys. Lett. 84, (2009), 1009
  35. Müller, I. Rotter, Exceptional points in open quantum systems, J. Phys. A: Math. Theor. 41, (2008), 24401
  36. Rummel, G. Baier, M. Müller, Automated detection of time dependent cross-correlation clusters in nonstationary time series, Europhys. Lett. 80, (2008), 68004
  37. Rummel, M. Müller, K.Schindler, Data-driven estimates of the number of clusters in multivariate time series. Physical Review E. American Physical Society.78, 66703 – 66703, 2008
  38. Baier, M. Mueller, U. Stephani, H. Muhle, Characterization of correlation changes of complex pattern transition: the case of epileptic activity, Phys. Lett. A 363, (2007), 290
  39. Allefeld, M. Müller and J. Kurths, Eigenvalue decomposition as a generalized synchronization cluster analysis, Int. J. Bif. Chaos 17, (2007), 3493
  40. Rummel, G. Baier and M. Müller, The influence of static correlations on multivariate correlation analysis of the EEG, J. Neurosci. Meth. 166, (2007),138
  41. Müller, Y. Lopez Jimenez, C. Rummel, G. Baier, A. Galka, U. Stephany, H. Muhle, Localized short range correlations in the spectrum of the equal time correlation matrix, Phys. Rev. E 74, (2006) 41119
  42. Müller, K. Wegner, U. Kummer, G. Baier, The quantification of cross-correlations in complex spatio-temporal systems, Phys. Rev. E 73, (2006), 46106
  43. Müller, G. Baier, A. Galka, U. Stephani, H. Muhle, Detection and characterization of changes of the correlation structure in multivariate time series, Phys. Rev. E 71, (2005), 46116
  44. Chermihovskyi, F. Mormann, M. Müller, C.E. Elger, G. Baier and K. Lehnertz, EEG analysis with nonlinear excitable media, J. Clin. Neurophysiol. 22, (2005), 314
  45. Baier, A. Ramírez, I. Amaro and M. Müller, Local induction of spatio-temporal chaos, Rev. Mex. Fis. 51, (2005), 447
  46. Baier, T. Hermann and M. Müller, Polyrythmic organization of coupled nonlinear oscillators, IEEE Computer Society, (2005) , 5
  47. Baier, T. Hermann, O.M. Lara, M. Müller, Using sonification to detect weak cross-correlations in coupled excitable systems, Proceedings of ICAD, (2005), 50
  48. Baier and M. Müller, Excitable chaos in diffusively coupled FitzHugh-Nagumo Equations, Rev. Mex. Fis. 50, (2004), 422
  49. Baier and M. Müller, Frequency selective reduction of excitation waves near sub- and supercritical Hopf bifurcation, Phys. Lett. A 330, (2004), 350
  50. Baier, M. Müller, Nonlinear dynamic conversion of analog signals into excitation pattern, Phys. Rev. E 70, (2004), 3720
  51. Hermann, G. Baier and M. Müller, Polyrythms in the human brain, proceedings of ICAAD, (2004)
  52. Baier, M. Müller and H. Orsnes, Excitable spatioi-temporal chaos in a model of glycolises, J. Phys. Chem. B 106, (2002), 3275
  53. Schäfer, M. Barth, F. Leyvraz, M. Müller, T.H. Seligman and H.J. Stöckmann, Transition from Gaussian orthogonal to Gaussian unitary ensemble in a microwave billard with threefold symmetry, Phys. Rev E 66, (2002), 16202
  54. Gorin, M. Müller and P. Seba, Comments on: Models of intermediate spectral statistics, Phys. Rev. E 63, (2001), 68201
  55. Müller, W.D. Heiss, C. Jung and I. Rotter, Globally collective effects in open quantum systems, Physica E 9, (2001), 509
  56. Seba, I. Rotter, M. Müller, E. Persson and K. Pichugin, Open microwave cavities, Physica E 9, (2001), 484
  57. Flores, M. Horoi, M. Müller and T.H. Seligman, Spectral statistics of the two-body random ensemble revisited, Phys. Rev. E 63, (2001), 2604
  58. Forker, M. Müller and U. Hütten, 181Ta perturbed angular correlation study of electric quadrupole interactions, J. Phys. Condens. Matter 12, (2000), 7117
  59. Seba, I. Rotter, M. Müller, E. Persson and K. Pichugon, Collective modes in an open microwave billard, Phys. Rev. E 61, (2000), 66
  60. Baier, G.J. Escalera Santos, H. Perales, M. Rivera, M. Müller, R. Leder and P. Parmananda, Self exciting chaos as a dynamical model for irregular neural spiking, Phys. Rev. E (Rapid Communications) 62, (2000), 7579
  61. Jung, M. Müller and I. Rotter, Phase transitions in open quantum systems, Phys. Rev. E 60, (1999), 114
  62. I. Magunov, M. Müller, I. Rotter and S.I. Strakhova, Strong laser field effects in spectral lines of autoionizing states, Laser Physics 9, (1999), 407
  63. D. Heiss, M. Müller and I. Rotter, Collectivity, phase transitions and exceptional points in an open quantum system, Phys. Rev. E 58, (1998), 2894
  64. Müller, S.E. Muraview, I. Rotter and V.V. Sokolov, Interfering states and narrow resonances at high excitation energy, Nuevo Cimiento 111, (1998), 705
  65. Gorin, F.M. Dittes, M. Müller, I. Rotter and T.H. Seligman, Correlations between resonances in a statistical scattering model, Phys. Rev. E 56, (1997), 2481
  66. V. Sokolov, I. Rotter, D.V. Savin and M. Müller, Interfering doorway states and giant resonances II transition strength. Phys. Rev C 56, (1997), 1044
  67. V. Sokolov, I. Rotter, D.V. Savin and M. Müller, Interfering doorway states and giant resonances I resonance spectrum and multipole strength, Phys. Rev. C 56, (1997), 1031
  68. Persson, M. Müller and I. Rotter, Resonance phenomena near thresholds, Phys. Rev. C 53, (1996) , 3002
  69. Müller, W. Iskra, I. Rotter, Level repulsion in the complex plane, Phys. Rev. E 52, (1995), 5961
  70. Iskra, M. Müller and I. Rotter, Radial pattern of nuclear decay processes, Phys. Rev. C 51, (1995) , 1842
  71. Müller, W. Iskra and I. Rotter, Selforganization and disorder in an open quantum system, Acta Phys. Pol. 25, (1994), 711
  72. Iskra, M. Müller and I. Rotter, Selforganization in the nuclear system and irreversibility, Progr. Theor. Phys. Suppl. 116, (1994), 385
  73. Iskra, M. Müller and I. Rotter, Selforganization in the nuclear system, Part 2: Formation of a new order, J. Phys. G 20, (1994), 775
  74. Forker, W. Herz, H. Hütten, M. Müller, R. Müsseler. J. Schmidberger, D. Simon, A. Weingarten and S.C. Bedi, A furnace for high temperature perturbed angular correlation measurements, Nucl. Instr. Meth. Phys. Research A 327, (1993), 246
  75. Iskra, M. Müller and I. Rotter, Selforganization in the nuclear system, Part 1: The slaving principle, J. Phys. G 19, (1993), 2045

Libros, capítulos de libros y publicaciones no arbitradas

2018
4. Oscar, Marín-García Arlex; Maria, Corsi-Cabrera; Heidemarie, Gast; Alexander, Rios-Herrera Wady; Vanesa, Olguín-Rodriguez Paola; Rosales-Alejandra, Lagarda; Kaspar, Schindler; F, Müller Markus; EEG del sueñoy su análisis cuantitativo: correlaciones aleatorias, correlaciones genuinas y teoría de gráficas. La naturaleza de los sueños. Herder. 2018, (221 – 250)
3. La naturaleza de los sueños. 2018, (544 – 544) 978-607-7727-53-8.
 
2013
2. R. Christian, M. Markus, H. Martinus, W. Roland, S.; Kaspar; Dynamics of linear and nonlinear interrelation networks in peri-ictal intracranial EEG: Seizure onset and termination. Recent Advances in Predicting and Preventing Epileptic Seizures. World Scientific. 2013, (162 – 174)
 
2008
1. Muller, Markus; Baier, Gerold; Rummel, Christian;Schindler, Kaspar; Stephani, Ulrich; Schelter, B; Timmer, J;Bonhage, A S; A multivariate approach to correlation analysis based on random matrix theory. Seizure Prediction in Epilepsy: From Basic Mechanisms to Clinical Applications. Wiley. 2008, (209 – 226) 10.1002/9783527625192.ch16
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