A systems view of life in phenomenological-based semi-physical models. An ovulatory-menstrual cycle mathematical model

dc.contributor.advisorGómez Echavarría, Lina María
dc.contributor.advisorLema Pérez, Laura
dc.contributor.authorRamírez Mazo, Carolina
dc.contributor.cvlachttps://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0001543054
dc.contributor.orcidRamírez Mazo, Carolina [0000-0002-6442-5230]
dc.contributor.orcidGómez Echavarría, Lina María [0000-0001-5629-1941]
dc.contributor.orcidLema Pérez, Laura [0000-0001-6745-3571]
dc.contributor.researchgatehttps://www.researchgate.net/profile/Carolina-Ramirez-Mazo
dc.contributor.researchgroupGrupo de Investigación en Procesos Dinámicos-Kalman
dc.date.accessioned2025-08-29T16:06:58Z
dc.date.available2025-08-29T16:06:58Z
dc.date.issued2025
dc.descriptionIlustraciones, gráficosspa
dc.description.abstractLos sistemas vivos tienen una enorme capacidad de organizarse en redes altamente interconectadas, con fenómenos complejos que sostienen diferentes procesos y patrones auto-regulados. Los cuerpos de las mujeres no son la excepción y, de manera específica, las interacciones entre el Ciclo Ovulatorio Menstrual (COM) con el resto del cuerpo son de gran importancia para un estado sano de las mujeres desde una perspectiva sistémica de la vida y la salud. Las irregularidades en el COM tienen un impacto profundo en la configuración de otros sistemas como el cardiovascular; el metabólico; el inmune; el sistema músculo-esquelético y, por tanto, la manera en que el cuerpo entero expresa estados de salud. El COM es con frecuencia estudiado y observado exclusivamente desde su función reproductiva, por tanto, sus irregularidades se tratan desde un paradigma de fragmentación. Los tratamientos se desarrollan con la intención de apagar síntomas, lejos de la comprensión de un estado de salud en el cuerpo femenino como un todo; además, las irregularidades se tratan inhibiendo las dinámicas hormonales propias del organismo, como si apagarlas sólo afectara la posibilidad de gestar. Históricamente, la fisiología de las mujeres ha sido poco estudiada desde la naturaleza propia de sus dinámicas y procesos. El objetivo de esta tesis es desarrollar modelos semi-físicos de base fenomenológica (MSBF) en el contexto de los sistemas dinámicos complejos, para comprender mejor los estados de salud como una expresión de la capacidad auto-reguladora y auto-ordenadora de los sistemas vivos; por medio del estudio específico de los estados sanos en las mujeres. Dichos modelos matemáticos están basados en los fenómenos y los procesos que se despliegan en un sistema vivo, lo cual establece una base para acercarnos a la vida escuchando sus características inherentes y observando sus formas de prosperar -florecer- a través de las conexiones que la sostienen; en lugar de perseguir estados asintomáticos y despreciar las interacciones sistémicas. Se desarrollaron tres modelos matemáticos, siguiendo la metodología establecida para los MSBF. El objetivo de los modelos es describir algunas de las interacciones entre el eje Hipotálamo-Pituitaria-Ovarios (HPO) y el ciclo endometrial, el sistema cardiovascular y el sistema metabólico. Para esto, se propuso una metodología de acople para describir las interacciones entre subsistemas de un sistema complejo y cómo dichas interacciones impactan el estado del sistema entero. La metodología se usa primero para describir el COM, acoplando las acciones del estradiol (E2) y la progesterona (P4) con el ciclo endometrial, lo cual define un ciclo ovulatorio-menstrual completo. Luego, los impactos del COM son estudiados en dinámicas del sistema cardiovascular y el sistema metabólico a través de las acciones del E2 y la P4, cuyas concentraciones son marcadores de las diferentes fases del COM. La metodología de acople se formalizó asentada en el paradigma de espacio de estados, evidenciando la importancia de la comunicación entre diferentes sistemas con señales de inhibición y estimulación, en la vida y en las mujeres cuando se trata de sostener estados sanos. La respuesta de los modelos fue evaluada de manera cuantitativa y cualitativa, usando datos experimentales reportados en la literatura del ciclo endometrial, la presión arterial, el flujo sanguíneo y el metabolismo de glucosa e insulina, respectivamente. La metodología de acople propuesta, es un mapa de ruta para estudiar sistemas complejos bajo la mirada de los fenómenos reales. Esta ruta permite un conocimiento más preciso de las conexiones a través del acople matemático de procesos fisiológicos. Así, se obtuvo información de las interacciones entre el eje HPO y el ciclo endometrial para describir el COM completo; de las interacciones entre el COM y las características dinámicas de los vasos sanguíneos como el diámetro; y de la comunicación de señales entre el COM y el metabolismo de glucosa. Los resultados muestran la importancia de las acciones conjuntas del E2 y la P4, pues sus efectos en el cuerpo se balancean entre sí en una danza que sostiene ciclos armónicos tanto en el crecimiento del tejido endometrial, como en los sistemas cardiovascular y metabólico. El estado sano es un estado cíclico en el organismo entero femenino, principalmente durante los años de ciclicidad en los que hay ovulación en las mujeres. En este sentido, la proporción entre el E2 y la P4 es de gran importancia y es clave para mantener los lazos de retroalimentación auto-regulados que expresan salud. Por tanto, alterar concentraciones de E2 y P4 de manera aislada, sin tener en cuenta la proporción entre ambas hormonas, genera perturbaciones en la estabilidad del ciclo endometrial y de la misma manera en el metabolismo de la glucosa y la homeostasis entre la vasoconstricción y la vasodilatación en los vasos sanguíneos. Esta disertación muestra el profundo sentido y la importancia de considerar la vida como una red entera y compleja, lejos de las particiones aisladas, si se quiere atender y cuidar la misma vida y a las mujeres tanto en estados de salud como en estados de síntomas crónicos denominados patológicos. (Tomado de la fuente)spa
dc.description.curricularareaIngeniería Química E Ingeniería De Petróleos.Sede Medellín
dc.description.degreelevelDoctorado
dc.description.degreenameDoctor en Ingeniería
dc.description.notesLiving systems present a stunning capacity to organize themselves in highly interactive networks, with highly complex phenomena sustaining different self-regulatory processes and patterns. Female bodies are not the exception, and particularly the interactions between the Ovulatory-Menstrual Cycle (OMC) with the rest of the body are remarkable in the state of health of women from a systems view of health and life. Irregularities in the OMC have a profound impact on the configuration of other systems, i.e., cardiovascular, metabolic, immune, skeletal-muscle, and therefore, on the way the entire body expresses health. The OMC is often looked at from a merely reproductive function, hence its irregularities are often treated from a perspective of fragmentation. On the one hand, with the objective to only deal with symptoms, with treatments far from the comprehension of a state of health in the whole female body; on the other hand, as if shutting down hormonal dynamics was confined to allowing or inhibiting pregnancy. Historically, female physiology has been understudied within the nature of its own dynamics and processes. The aim of this dissertation is to develop Phenomenological-Based Semi-Physical mathematical models (PBSM) within the realm of dynamic complex systems, to better understand states of health as an expression of self-organization in living systems, specifically in women. Such models are based on the phenomena and the processes that a living system exerts, setting a ground to approach life by listening to its inherent characteristics and interconnected ways to thrive, rather than pursuing an asymptomatic state and neglecting systemic interactions. Three mathematical models are developed to describe some of the interactions between the Hypothalamus-Pituitary-Ovarian axis (HPO) and the endometrial tissue cycle, the cardiovascular system, and the metabolic system, using a well-known methodology for PBSMs. A coupling methodology is proposed to describe interactions between subsystems in a complex system and how said interactions impact the state of the whole system. The methodology is used to first describe the Ovulatory-Menstrual Cycle (OMC), coupling the actions of estradiol (E2) and progesterone (P4) with the endometrial cycle, which defines a complete ovulatory-menstrual cycle. Then, the impacts of the OMC are studied on the dynamics of the cardiovascular system and the metabolic system, through the actions of E2 and P4 as markers of the different phases of the OMC. The coupling methodology is formalized based on the paradigm of state-space, which elucidates the importance of crosstalk between different systems in life and women’s bodies if aiming for health. The response of the models was qualitatively and quantitatively assessed using experimental data reported in the literature on the endometrial cycle, blood pressure, blood flow, glucose and insulin metabolism, respectively. The proposed methodology sets a map of the route for studying complex systems in light of real phenomena and provides better insight into the cross-talk by mathematically coupling physiological processes. In this way, the models shed light on interactions between the HPO axis and the endometrial cycle to describe the entire OMC; as well as on the interactions between the OMC and the dynamic characteristics of blood vessels -i.e., diameter- and on the crosstalk between the OMC and glucose metabolism. The results show the importance of the actions of E2 and P4 together, often counterbalancing and dancing to maintain harmonic cycles throughout the endometrial cycle, the cardiovascular and metabolic systems. Health is a cyclic state within the entire female body, mainly during the cyclic-ovulatory years. In this sense, the ratio between E2 and P4 is of high relevance, and it is key to keeping self-regulatory feedback loops that express health. Hence, altering isolated concentrations of E2 and P4 would lead to disruptions in the stability of the endometrial cycle and in the same way in glucose metabolism and blood vessel vasoconstriction. This dissertation shows the significance of considering life as a whole complex network, far from isolation, when approaching and taking care of life and women in both states of health and chronic symptomatic states, so-called disease and pathology.eng
dc.description.researchareaBio-Matemáticas
dc.format.extent197 páginas
dc.format.mimetypeapplication/pdf
dc.identifier.instnameUniversidad Nacional de Colombiaspa
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombiaspa
dc.identifier.repourlhttps://repositorio.unal.edu.co/spa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/88508
dc.language.isoeng
dc.publisherUniversidad Nacional de Colombia
dc.publisher.branchUniversidad Nacional de Colombia - Sede Medellín
dc.publisher.departmentCentro de estudios en Ciencias del mar-CECIMARspa
dc.publisher.facultyFacultad de Minas
dc.publisher.placeMedellín, Colombia
dc.publisher.programMedellín - Minas - Doctorado en Ingeniería - Sistemas Energéticos
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.licenseAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc620 - Ingeniería y operaciones afines
dc.subject.ddc660 - Ingeniería química
dc.subject.ddc610 - Medicina y salud::612 - Fisiología humana
dc.subject.lembCiclo menstrual - Modelos matemáticos
dc.subject.lembFisiología de la mujer
dc.subject.lembSistemas dinámicos complejos
dc.subject.lembCiclo menstrual - Efectos fisiológicos
dc.subject.proposalSistema sexual femeninospa
dc.subject.proposalFemale Physiologyeng
dc.subject.proposalFisiología Femeninaspa
dc.subject.proposalCiclo Ovulatorio Menstrual (COM)spa
dc.subject.proposalSistemas Dinámicos Complejosspa
dc.subject.proposalSistema Vivospa
dc.subject.proposalVidaspa
dc.subject.proposalAuto-Regulaciónspa
dc.subject.proposalModelos Semifísicos de Base Fenomenológica (MSBF)spa
dc.subject.proposalTeoría Sistémicaspa
dc.subject.proposalSaludspa
dc.subject.proposalFemale Sexual Systemeng
dc.subject.proposalOvulatory-Menstrual Cycle (OMC)eng
dc.subject.proposalDynamic Complex Systemseng
dc.subject.proposalLiving Systemeng
dc.subject.proposalLifeeng
dc.subject.proposalSelf-Regulationeng
dc.subject.proposalPhenomenological-Based Semi-Physical Model (PBSM)eng
dc.subject.proposalSystemic Theoryeng
dc.subject.proposalHealtheng
dc.titleA systems view of life in phenomenological-based semi-physical models. An ovulatory-menstrual cycle mathematical modeleng
dc.title.translatedUna mirada sistémica de la vida en modelos semi-físicos de base-fenomenológica. Un modelo matemático del ciclo ovulatorio-menstrualspa
dc.typeTrabajo de grado - Doctorado
dc.type.coarhttp://purl.org/coar/resource_type/c_db06
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.contentText
dc.type.driverinfo:eu-repo/semantics/doctoralThesis
dc.type.redcolhttp://purl.org/redcol/resource_type/TD
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dcterms.audience.professionaldevelopmentEstudiantes
dcterms.audience.professionaldevelopmentMaestros
dcterms.audience.professionaldevelopmentInvestigadores
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2

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