Mathematics Model of Diabetes Mellitus Illness  without Genetic Factors with Treatment

Fitriyah, Nurul; Musthofa, Muhammad Wakhid; Rahayu, Pipit Pratiwi

doi:10.14421/kaunia.3043

Cited by 3 publications

(2 citation statements)

References 9 publications

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Section: Association Between Transfer Rna Mutations and Type 2 Diabet...mentioning

confidence: 99%

“…Transfer RNA (tRNA) mutations are associated with various diseases but this review will focus on the association with diabetes mellitus (Figure 2). Diabetes mellitus can be considered the "mother of disease" because it is associated with various medical conditions, such as hypertension, heart disease, stroke, and deafness [82]. The American Diabetes Association (ADA) classifies "mitochondrial diabetes" under the category of "Other, genetic defect of the β cell", which can be caused by mutations in mitochondrial DNA [83].…”

Section: Association Between Transfer Rna Mutations and Type 2 Diabet...mentioning

confidence: 99%

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Transfer RNA Mutation Associated with Type 2 Diabetes Mellitus

Rahmadanthi,

Maksum

2023

Biology

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Transfer RNA (tRNA) genes in the mitochondrial DNA genome play an important role in protein synthesis. The 22 tRNA genes carry the amino acid that corresponds to that codon but changes in the genetic code often occur such as gene mutations that impact the formation of adenosine triphosphate (ATP). Insulin secretion does not occur because the mitochondria cannot work optimally. tRNA mutation may also be caused by insulin resistance. In addition, the loss of tRNA modification can cause pancreatic β cell dysfunction. Therefore, both can be indirectly associated with diabetes mellitus because diabetes mellitus, especially type 2, is caused by insulin resistance and the body cannot produce insulin. In this review, we will discuss tRNA in detail, several diseases related to tRNA mutations, how tRNA mutations can lead to type 2 diabetes mellitus, and one example of a point mutation that occurs in tRNA.

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Section: Association Between Transfer Rna Mutations and Type 2 Diabet...mentioning

confidence: 99%

Section: Association Between Transfer Rna Mutations and Type 2 Diabet...mentioning

confidence: 99%

Transfer RNA Mutation Associated with Type 2 Diabetes Mellitus

Rahmadanthi,

Maksum

2023

Biology

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A computational technique for the Caputo fractal-fractional diabetes mellitus model without genetic factors

Karaağaç

Owolabi

Pindza

2023

Int. J. Dynam. Control

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The concept of a Caputo fractal-fractional derivative is a new class of non-integer order derivative with a power-law kernel that has many applications in real-life scenarios. This new derivative is applied newly to model the dynamics of diabetes mellitus disease because the operator can be applied to formulate some models which describe the dynamics with memory effects. Diabetes mellitus as one of the leading diseases of our century is a type of disease that is widely observed worldwide and takes the first place in the evolution of many fatal diseases. Diabetes is tagged as a chronic, metabolic disease signalized by elevated levels of blood glucose (or blood sugar), which results over time in serious damage to the heart, blood vessels, eyes, kidneys, and nerves in the body. The present study is devoted to mathematical modeling and analysis of the diabetes mellitus model without genetic factors in the sense of fractional-fractal derivative. At first, the critical points of the diabetes mellitus model are investigated; then Picard’s theorem idea is applied to investigate the existence and uniqueness of the solutions of the model under the fractional-fractal operator. The resulting discretized system of fractal-fractional differential equations is integrated in time with the MATLAB inbuilt Ode45 and Ode15s packages. A step-by-step and easy-to-adapt MATLAB algorithm is also provided for scholars to reproduce. Simulation experiments that revealed the dynamic behavior of the model for different instances of fractal-fractional parameters in the sense of the Caputo operator are displayed in the table and figures. It was observed in the numerical experiments that a decrease in both fractal dimensions and leads to an increase in the number of people living with diabetes mellitus.

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Time delayed fractional diabetes mellitus model and consistent numerical algorithm

Rafique,

Ur Rehamn,

Rafiq

et al. 2024

Sci Rep

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The diabetes mellitus model (DMM) is explored in this study. Many health issues are caused by this disease. For this reason, the integer order DMM is converted into the time delayed fractional order model by fitting the fractional order Caputo differential operator and delay factor in the model. It is proved that the generalized model has the advantage of a unique solution for every time t. Moreover, every solution of the system is positive and bounded. Two equilibrium states of the fractional model are worked out i.e. disease free equilibrium state and the endemic equilibrium state. The risk factor indicator, R 0 is computed for the system. The stability analysis is carried out for the underlying system at both the equilibrium states. The key role of R 0 is investigated for the disease dynamics and stability of the system. The hybridized finite difference numerical method is formulated for obtaining the numerical solutions of the delayed fractional DMM. The physical features of the numerical method are examined. Simulated graphs are presented to assess the biological behavior of the numerical method. Lastly, the outcomes of the study are furnished in the conclusion section.

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Mathematics Model of Diabetes Mellitus Illness without Genetic Factors with Treatment

Cited by 3 publications

References 9 publications

Transfer RNA Mutation Associated with Type 2 Diabetes Mellitus

Transfer RNA Mutation Associated with Type 2 Diabetes Mellitus

A computational technique for the Caputo fractal-fractional diabetes mellitus model without genetic factors

Time delayed fractional diabetes mellitus model and consistent numerical algorithm

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