{"id":7399,"date":"2025-11-21T06:43:03","date_gmt":"2025-11-21T06:43:03","guid":{"rendered":"https:\/\/kibu.ac.ke\/sgs\/?p=7399"},"modified":"2025-11-21T06:44:27","modified_gmt":"2025-11-21T06:44:27","slug":"mathematical-modeling-for-the-effects-of-early-life-stress-on-brain-development-and-mental-health-trajectories","status":"publish","type":"post","link":"https:\/\/kibu.ac.ke\/sgs\/mathematical-modeling-for-the-effects-of-early-life-stress-on-brain-development-and-mental-health-trajectories\/","title":{"rendered":"Mathematical Modeling for The Effects of Early Life Stress on Brain Development and Mental Health Trajectories"},"content":{"rendered":"\t\t
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Student\u2019s Name:
\nTobokwa Caren Mutonyi<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Supervisors:
\n1.\tDr. Jacinta M. Mutwiwa
\n2.\tDr. Mulambula Andanje\n\n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Master of Science in Applied Mathematics <\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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ABSTRACT<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Early life stress, comprising various adverse experiences during childhood and adolescence, has been linked to long lasting impacts on brain development and mental health outcomes.\u00a0 However, the multifaceted interactions between these factors and their trajectories over time remain incompletely understood.\u00a0 This study developed a compartmental SEIR (Suscepti-ble\u2013Exposed\u2013Impacted\u2013Resilient) mathematical model to understand the progression and im-pact of Early life stress (ELS) on children and adolescents in urban informal settlements in Kenya.\u00a0 The model integrates environmental, neurobiological and psychological factors to capture the complex interplay between early life stress, brain maturation processes and mental health outcomes while incorporating demographic dynamics through birth and death rates.\u00a0 Mathematical and computational techniques were employed on the model differential equations developed and the well-posedness of the model was demonstrated by proving several theorems on the feasibility, boundedness and stabilities.\u00a0 Mathematical analysis enabled simulations with data from neuroimaging techniques, psychological assessments, biomarkers, longitudinal studies and predictions of mental health outcomes under varying levels.\u00a0 Key findings show that early childhood (0\u20135 years) and adolescence (13\u201317 years) are periods of heightened vulnerability to ELS.\u00a0 High intensity and prolonged stress exposure signifcantly increase progression to adverse mental health states whereas early, targeted interventions can improve resilience by upto 30% over a decade.\u00a0 Demographic factors further influence the long term impact of ELS, highlighting the importance of population-level strategies.\u00a0 In comparison to other mathematical and computational models, the ELS-SEIR model provides a valuable balance between simplicity and detail.\u00a0 While it does not capture the stochastic randomness of Agent-Based Models or the mechanistic intricacies of bio-physical models, it excels at modeling population-level trends and intervention effects through a clear, analyzable structure.\u00a0 The SEIR framework provides a valuable tool for identifying critical intervention points, guiding policy, and designing prevention strategies.\u00a0 These findings have important implications for mental health professionals, policymakers, educators and social service providers aiming to improve wellbeing and resilience across the lifespan in vulnerable communities.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Student\u2019s Name: Tobokwa Caren Mutonyi Supervisors: 1. Dr. Jacinta M. Mutwiwa 2. Dr. Mulambula Andanje Master of Science in Applied Mathematics ABSTRACT Early life stress, comprising various adverse experiences during childhood and adolescence, has been linked to long lasting impacts on brain development and mental health outcomes.\u00a0 However, the multifaceted interactions between these factors and […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-7399","post","type-post","status-publish","format-standard","hentry","category-theses"],"yoast_head":"\nMathematical Modeling for The Effects of Early Life Stress on Brain Development and Mental Health Trajectories - School of Graduate Studies<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/kibu.ac.ke\/sgs\/mathematical-modeling-for-the-effects-of-early-life-stress-on-brain-development-and-mental-health-trajectories\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematical Modeling for The Effects of Early Life Stress on Brain Development and Mental Health Trajectories - School of Graduate Studies\" \/>\n<meta property=\"og:description\" content=\"Student\u2019s Name: Tobokwa Caren Mutonyi Supervisors: 1. 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