The Covid-19 pandemic has challenged both the scientific community and government authorities in Colombia. Both sectors are collaborating to understand the transmission and spread of the virus and to establish control strategies. This study proposes a biomathematical model with difference equations to analyze the transmission of Covid-19 in Santiago de Cali from March 2020 to June 2022. The results indicate that most of the inhabitants could be positive at some point, but with containment measures, a manageable number of symptomatic cases could be maintained. In addition, the cumulative fatality curve is fitted to the Gompertz model. The method used for parameter fitting or estimation was Gauss-Newton. This approach provides valuable information for decision making and pandemic management in the city.
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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11611158 | PMC |
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0311414 | PLOS |
Sci Rep
December 2024
Institute for Medical Informatics, Statistics and Epidemiology (IMISE), University of Leipzig, 04107, Leipzig, Germany.
When infected with SARS-CoV-2, Syrian hamsters (Mesocricetus auratus) develop moderate disease severity presenting key features of human COVID-19. We here develop a biomathematical model of the disease course by translating known biological mechanisms of virus-host interactions and immune responses into ordinary differential equations. We explicitly describe the dynamics of virus population, affected alveolar epithelial cells, and involved relevant immune cells comprising for example CD4+ T cells, CD8+ T cells, macrophages, natural killer cells and B cells.
View Article and Find Full Text PDFPLoS One
December 2024
Facultad de Ingeniería, Universidad de San Buenaventura, Cali, Colombia.
The Covid-19 pandemic has challenged both the scientific community and government authorities in Colombia. Both sectors are collaborating to understand the transmission and spread of the virus and to establish control strategies. This study proposes a biomathematical model with difference equations to analyze the transmission of Covid-19 in Santiago de Cali from March 2020 to June 2022.
View Article and Find Full Text PDFClin Transl Med
October 2024
Cardiovascular Research Unit, Department of Precision Health, Luxembourg Institute of Health, Strassen, Luxembourg.
J Theor Biol
August 2024
Sleep and Performance Research Center, Washington State University, 412 E. Spokane Falls Blvd., Spokane, WA 99202-2131, USA; Department of Translational Medicine and Physiology, Washington State University Health Sciences Spokane, 412 E. Spokane Falls Blvd., Spokane, WA 99202, USA. Electronic address:
Biomathematical models of fatigue capture the physiology of sleep/wake regulation and circadian rhythmicity to predict changes in neurobehavioral functioning over time. We used a biomathematical model of fatigue linked to the adenosinergic neuromodulator/receptor system in the brain as a framework to predict sleep inertia, that is, the transient neurobehavioral impairment experienced immediately after awakening. Based on evidence of an adenosinergic basis for sleep inertia, we expanded the biomathematical model with novel differential equations to predict the propensity for sleep inertia during sleep and its manifestation after awakening.
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