Knowledge and Application of Differential Equations in Medical Laboratory Research among Laboratory Professionals in Kenema District, Sierra Leone: An analytical cross-sectional study

Background: Differential equations support mathematical modelling in biomedical research, disease surveillance, and laboratory decision-making. This study assessed knowledge and application among laboratory professionals in Kenema District, Sierra Leone.

Methods: An analytical cross-sectional study included 500 laboratory professionals selected using stratified sampling and simple random sampling within strata. Data were collected using a structured questionnaire and analysed using descriptive statistics, correlation, and multivariable linear regression with institution-clustered standard errors.

Results: Moderate knowledge was observed in 48% of participants, while 23% demonstrated high knowledge. Knowledge correlated positively with application (r = 0.58, p < 0.001). Training, software access, data availability, and technical support were significant predictors. Limited training was the most common barrier (73%).

Conclusion: Strengthening training and workplace resources may improve mathematical modelling capacity.