Froduald Minani
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Froduald Minani has a total of 10 co-authors. Here are the top co-authors by number of shared publications:
- Eric Rutaganda
Department of Pathology, School of Medicine and Pharmacy, College of Medicine and Health Sciences, University of Rwanda, Kigali, Rwanda
1 shared publication - Fredrik Berntsson
Linkoping Univ, Dept Math, Linkoping, Sweden
1 shared publication - Immaculate Kambutse1 shared publication
- Japhet Niyobuhungiro
National Council for Science and Technology, Kigali P.O. Box 2285, Rwanda
1 shared publication - Jean Marie Ntaganda
Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, Kigali, Rwanda
1 shared publication - Jean Pierre Ngendahayo
Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda
1 shared publication
Latest Publications
- Open Access
- 9 May 2026
- Published by Taylor & Francis in Research in Mathematics
- Vol. 13 (1)
Solving an inverse heat conduction problem with phase transitions using Tikhonov regularization
1. In many industrial applications, one wishes to determine the temperature on the surface of a body in situations where the surface itself is inaccessible to direct measurements (Beck et al., 1985...
- 9 May 2026
- Published by Taylor & Francis in Research in Mathematics
- Vol. 13 (1)
Open AccessSolving an inverse heat conduction problem with phase transitions using Tikhonov regularization
1. In many industrial applications, one wishes to determine the temperature on the surface of a body in situations where the surface itself is inaccessible to direct measurements (Beck et al., 1985...
- Open Access
- 1 January 2021
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 2021 (1)
Mathematical Modelling of Glucose‐Insulin System and Test of Abnormalities of Type 2 Diabetic Patients
This paper presents a mathematical model of glucose‐insulin dynamics which is specific for type 2 diabetic patients. The general modelling is obtained by simplification of a global compartmental model by John Thomas Sorensen. The model parameters are estimated using nonlinear optimization and data collected in Rwanda for type 2 diabetic patients. In order to identify and evaluate possible abnormalities of type 2 diabetic patients, the Sampling Importance Resampling (SIR) particle filtering algorithm is used and implemented through discretization of the developed mathematical model. This process is done by clamping insulin and glucose concentrations at around clinical trial values as proposed by Defronzo. Furthermore, for detecting potential abnormalities in type 2 diabetic patients, we compare our results with results obtained from a simulation of the mathematical model for healthy subjects. The proposed mathematical model allows further investigation of the dynamic behavior of glucose, insulin, glucagon, stored insulin, and labile insulin in different organs for type 2 diabetic patients.
- 1 January 2021
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 2021 (1)
Open AccessMathematical Modelling of Glucose‐Insulin System and Test of Abnormalities of Type 2 Diabetic Patients
This paper presents a mathematical model of glucose‐insulin dynamics which is specific for type 2 diabetic patients. The general modelling is obtained by simplification of a global compartmental model by John Thomas Sorensen. The model parameters are estimated using nonlinear optimization and data collected in Rwanda for type 2 diabetic patients. In order to identify and evaluate possible abnormalities of type 2 diabetic patients, the Sampling Importance Resampling (SIR) particle filtering algorithm is used and implemented through discretization of the developed mathematical model. This process is done by clamping insulin and glucose concentrations at around clinical trial values as proposed by Defronzo. Furthermore, for detecting potential abnormalities in type 2 diabetic patients, we compare our results with results obtained from a simulation of the mathematical model for healthy subjects. The proposed mathematical model allows further investigation of the dynamic behavior of glucose, insulin, glucagon, stored insulin, and labile insulin in different organs for type 2 diabetic patients.