Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Author "Kwach, Boniface O."

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    • Analysis of an Arterial Pulse Using 1D KdV Model 

      Nyongesa, Fatuma Nandaha; Kwach, Boniface O.; Okoya, Michael O. (IRE Journals, 2022-01)
      In this study we developed a soliton model of an arterial pulse. The Korteweg-de Vries wave equation is our model of interest. It incorporates the aspect of modeling an arterial pulse which can potentially lead to development ...

    • Derivation and solution of the heat equation in 1-D 

      Kwach, Boniface O.; Ongati, Naftali O.; Alambo, David O.; Okaka, Colleta A. (International Journal of Engineering, Science and Mathematics, 2013)
      Heat flows in the direction of decreasing temperature, that is, from hot to cool. In this paper we derive the heat equation and consider the flow of heat along a metal rod. The rod allows us to consider the temperature, ...

    • Forensic estimation of time of death: A mathematical model 

      Kwach, Boniface O.; Ongati, Naftali O.; Nyakinda, J. O; Nyang’inja, Rachael (International Journal of Management, IT and Engineering, 2013-07)
      In this paper we establish the exact time of death of a murdered person. This leads to an ordinary differential equation whose solution has been analyzed to provide the approximate time of death. Forensic expert will try ...

    • Mathematical modeling of insulin therapy in patients with diabetes mellitus 

      Kwach, Boniface O.; Ongati, Naftali O.; Okoya, M. E. Oduor; Amos E. O. Otedo (2015)
      This study presents a Mathematical Model Insulin Therapy in Patients with Diabetes Mellitus which includes external rate at which blood glucose, insulin and epinephrine are being increased in the form, Y =AY+r  (t) and ...