?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fkurepository.keiseruniversity.edu.ni%2Fid%2Feprint%2F50%2F&rft.title=Comparative+Rational+Pharmacokinetic+Modeling+for+Therapeutic+Window+Adjustment%3A+A+Computational%E2%80%93Analytical+Framework+Integrating+College+Algebra%2C+Applied+Calculus%2C+and+Model+Selection+Theory&rft.creator=Borge%2C+Kamila&rft.creator=Salgado%2C+Ram%C3%B3n&rft.creator=Zelaya%2C+Jos%C3%A9&rft.subject=Mathematics+%5BQA%5D&rft.subject=Mathematical+physics.+Applied+mathematics.+General+works+%5BQA401%5D&rft.subject=Pharmacokinetics+%2F+Applied+clinical+pharmacokinetics+%5BRM301.5%5D&rft.description=This+research+introduces+a+valuable+educational+framework+that+bridges+mathematical+theory+and+applied+pharmacokinetics+by+utilizing+an+analytically+tractable+rational+model+to+teach+model+selection+and+parameter+estimation.+The+study%E2%80%99s+primary+strength+lies+in+its+pedagogical+design%3A+by+deriving+exact+closed-form+expressions+for+peak+time+and+peak+concentration%2C+it+provides+an+intuitive%2C+deterministic+link+between+parameter+shifts+and+physiological+realities%2C+such+as+renal+impairment.+Supported+by+rigorous+statistical+diagnostics+(AIC%2C+BIC%2C+Levenberg%E2%80%93Marquardt+optimization)+and+a+clever+Pad%C3%A9-like+connection+to+the+classic+Bateman+function%2C+the+authors+successfully+establish+a+transparent%2C+FAIR-compliant+learning+environment.+Although+the+framework+currently+relies+on+synthetic+datasets+rather+than+noisy%2C+real-world+clinical+trials%2C+it+stands+out+as+an+exceptionally+well-conceived+tool+for+fostering+quantitative+literacy+and+model-based+reasoning+in+STEM+and+pharmacology+education.%0D%0A%0D%0A---------------------%0D%0A%0D%0AEsta+investigaci%C3%B3n+presenta+un+valioso+marco+educativo+que+conecta+la+teor%C3%ADa+matem%C3%A1tica+con+la+farmacocin%C3%A9tica+aplicada%2C+utilizando+un+modelo+racional+anal%C3%ADticamente+manejable+para+ense%C3%B1ar+la+selecci%C3%B3n+de+modelos+y+la+estimaci%C3%B3n+de+par%C3%A1metros.+La+principal+fortaleza+del+estudio+reside+en+su+dise%C3%B1o+pedag%C3%B3gico%3A+al+derivar+expresiones+exactas+en+forma+cerrada+para+el+tiempo+pico+y+la+concentraci%C3%B3n+pico%2C+proporciona+un+v%C3%ADnculo+intuitivo+y+determinista+entre+los+cambios+de+par%C3%A1metros+y+las+realidades+fisiol%C3%B3gicas%2C+como+la+insuficiencia+renal.+Respaldado+por+rigurosos+diagn%C3%B3sticos+estad%C3%ADsticos+(AIC%2C+BIC%2C+optimizaci%C3%B3n+de+Levenberg-Marquardt)+y+una+ingeniosa+conexi%C3%B3n+tipo+Pad%C3%A9+con+la+funci%C3%B3n+cl%C3%A1sica+de+Bateman%2C+los+autores+logran+establecer+un+entorno+de+aprendizaje+transparente+y+conforme+a+los+principios+FAIR.+Si+bien+el+marco+actualmente+se+basa+en+conjuntos+de+datos+sint%C3%A9ticos+en+lugar+de+ensayos+cl%C3%ADnicos+reales+con+ruido%2C+se+destaca+como+una+herramienta+excepcionalmente+bien+concebida+para+fomentar+la+alfabetizaci%C3%B3n+cuantitativa+y+el+razonamiento+basado+en+modelos+en+la+educaci%C3%B3n+en+ciencia%2C+tecnolog%C3%ADa%2C+ingenier%C3%ADa+y+matem%C3%A1ticas+(STEM)+y+farmacolog%C3%ADa.&rft.publisher=Keiser+University+Latin+American+Campus%2C+San+Marcos%2C+Nicaragua&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.rights=cc_by_nc_4&rft.identifier=https%3A%2F%2Fkurepository.keiseruniversity.edu.ni%2Fid%2Feprint%2F50%2F1%2FSMDepResAcadRes0010.pdf&rft.identifier=++Borge%2C+Kamila+and+Salgado%2C+Ram%C3%B3n+and+Zelaya%2C+Jos%C3%A9+++Comparative+Rational+Pharmacokinetic+Modeling+for+Therapeutic+Window+Adjustment%3A+A+Computational%E2%80%93Analytical+Framework+Integrating+College+Algebra%2C+Applied+Calculus%2C+and+Model+Selection+Theory.++Discussion+Paper.+Keiser+University+Latin+American+Campus%2C+San+Marcos%2C+Nicaragua.++++(Unpublished)++