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ODE models for the management of diabetes: A review

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Abstract

Diabetes also known as diabetes mellitus is a chronic and complex metabolic disease due to the persistent raised blood glucose concentration for long duration. The mechanism behind the disturbed glucose-insulin dynamics is still not fully understood. The mathematical models which describe the glucose homeostasis, different aspects of diabetes and its consequences are growing rapidly, provide new insights into the biological mechanism involved and help in the management of diabetes. Here, contribution of diabetic’s modelling using ordinary differential equations over the past five decades is discussed. Some parameter estimation techniques, softwares involved and some computational results are also presented.

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Acknowledgments

The authors are thankful to Delhi Technological University, Delhi for the financial support.

Authors’ contribution

Ms. Saloni Rathee has contributed to the study design, numerical analysis and manuscript preparation. Ms. Nilam has contributed to the manuscript editing and review. Both have made equal contribution in the literature search.

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  1. Department of Applied Mathematics, Delhi Technological University, Delhi, 110042, India

    Saloni Rathee &  Nilam

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  1. Saloni Rathee
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Correspondence to Nilam.

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Rathee, S., Nilam ODE models for the management of diabetes: A review. Int J Diabetes Dev Ctries 37, 4–15 (2017). https://doi.org/10.1007/s13410-016-0475-8

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