Mathematical model for nutrient exchange across the placenta

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dc.contributor.author Odongo, Joel Olielo
dc.contributor.author Ongati, Naftali O.
dc.date.accessioned 2018-11-12T11:17:32Z
dc.date.available 2018-11-12T11:17:32Z
dc.date.issued 2015
dc.identifier.issn 2319 - 4537
dc.identifier.issn 2319 - 4545
dc.identifier.uri http://ir.jooust.ac.ke:8080/xmlui/handle/123456789/2635
dc.description.abstract This study presents a new mathematical model for nutrient exchange across the placenta which include nutrient exchange from foetus to mother to provide a system of equations in the form, Y ሶ ൌ AY ൅ rԦሺtሻ and whose solution was analyzed for equilibrium and stability. This model introduces another parameter that takes care of waste elimination from foetus to mother. It was established that the final model is stable compared to the existing models, that is, the eigenvalues of the coefficient matrix are negative real number and complex numbers with negative real parts. This shows that the new model provides one straight line of solutions tending to the origin and a plane of solutions which spiral towards the origin. This gives a more accurate mathematical model for nutrient exchange in the placenta. This model would create a lot of insight into nutrient exchange in the placenta, the elimination of waste from the foetus and open room for further research from the mathematical concept developed. en_US
dc.language.iso en en_US
dc.subject Mathematical model en_US
dc.subject Linear system en_US
dc.subject Equilibrium en_US
dc.subject Stability en_US
dc.title Mathematical model for nutrient exchange across the placenta en_US
dc.type Article en_US


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