scholarly journals Mathematical modeling in diabetic retinopathy

2020 ◽  
Vol 224 ◽  
pp. 03020
Author(s):  
I V Vorobyeva

The problem of digital medicine in ophthalmology arose in connection with the increase in the incidence of diabetes mellitus in the world. The issue of preventing blindness and early diagnosis in diabetic retinopathy with a forecast of its course using mathematical modeling is especially acute. A system for assessing the prognosis of the risk of developing diabetic retinopathy was created based on interdisciplinary research in three areas: ophthalmology, biochemistry and mathematics. The studies were conducted in ophthalmology with the analysis of the condition of the retina in the macular area using digital ophthalmic equipment (optical coherence tomograph, fundus microperimeter). Biochemical studies consisted in the analysis of tear fluid with the determination of the level of the pathogenetic biomarker VEGF-A and the analysis of blood serum with the determination of the level of glycated hemoglobin HbA1c. Mathematical research consisted in the presentation of digital material in the form of mathematical criteria based on the method of standardizing the indicator under study. The result of the research was a computer program based on the developed mathematical formulas. The program gives the opportunity to automatically enter the data of a specific patient with diabetic retinopathy and give a prognosis of the disease.

2017 ◽  
Vol 26 (102) ◽  
pp. 110-119
Author(s):  
D. S. Yarymbash, ◽  
◽  
S. T. Yarymbash, ◽  
T. E. Divchuk, ◽  
D. A. Litvinov

1987 ◽  
Vol 168 (1) ◽  
pp. 81-86 ◽  
Author(s):  
Gerhard Oremek ◽  
Ulrich B. Seiffert ◽  
Günter Schmid

2021 ◽  
pp. 68-74
Author(s):  
Yaroslav Alexeevich Shvets ◽  
◽  
Alexander Yuryevich Zhuravlev ◽  

The paper presents results of development of a method for determination of carrying load of column poles of railway bridges that are based on permafrost ground and designed according the I-st principle. It also shows the necessity to use methods of mathematical modeling for determination of thermal mode of permafrost ground in the foundation of artificial constructions, which will allow forecasting the carrying load of bridge poles for any term of operation. As a result, the paper shows an algorithm for calculation and forecasting of carrying load of bridge poles at degradation of permafrost in their foundation.


2020 ◽  
Vol 40 (2) ◽  
pp. 201-206
Author(s):  
Hélio C. Franco Junior ◽  
Romulo A. Morais ◽  
Warley G. da Silva ◽  
Maria O. S. Oliveira ◽  
Glêndara A. de S. Martins

Author(s):  
О. П. Бурмістенков ◽  
Т. Я. Біла ◽  
В. В. Стаценко

The energy parameters determination of bulk materials mixing equipment. Methodology.  The  paper  used  methods  of  mathematical  modeling,  comparative  analysis  and research  of  electric  drive.  The  particles  motion  study  inside  the  mixer  was  performed  on  the  theoretical mechanics laws basis.


Author(s):  
Edmunds Teirumnieks ◽  
Ērika Teirumnieka ◽  
Ilmārs Kangro ◽  
Harijs Kalis

Metals deposition in peat can aid to evaluate impact of atmospheric or wastewaters pollution and thus can be a good indicator of recent and historical changes in the pollution loading. For peat using in agriculture, industrial, heat production etc. knowledge of peat metals content is important. Experimental determination of metals in peat is very long and expensive work. Using experimental data the mathematical model for calculation of concentrations of metals in different points for different layers is developed. The values of the metals (Ca, Mg, Fe, Sr, Cu, Zn, Mn, Pb, Cr, Ni, Se, Co, Cd, V, Mo) concentrations in different layers in peat taken from Knavu peat bog from four sites are determined using inductively coupled plasma optical emission spectrometer. Mathematical model for calculation of concentrations of metal has been described in the paper. As an example, mathematical models for calculation of Pb concentrations have been analyzed.


PLoS ONE ◽  
2021 ◽  
Vol 16 (9) ◽  
pp. e0257836
Author(s):  
Roomasa Channa ◽  
Kyungmoo Lee ◽  
Kristen A. Staggers ◽  
Nitish Mehta ◽  
Sidra Zafar ◽  
...  

Importance Efforts are underway to incorporate retinal neurodegeneration in the diabetic retinopathy severity scale. However, there is no established measure to quantify diabetic retinal neurodegeneration (DRN). Objective We compared total retinal, macular retinal nerve fiber layer (mRNFL) and ganglion cell-inner plexiform layer (GC-IPL) thickness among participants with and without diabetes (DM) in a population-based cohort. Design/setting/participants Cross-sectional analysis, using the UK Biobank data resource. Separate general linear mixed models (GLMM) were created using DM and glycated hemoglobin as predictor variables for retinal thickness. Sub-analyses included comparing thickness measurements for patients with no/mild diabetic retinopathy (DR) and evaluating factors associated with retinal thickness in participants with and without diabetes. Factors found to be significantly associated with DM or thickness were included in a multiple GLMM. Exposure Diagnosis of DM was determined via self-report of diagnosis, medication use, DM-related complications or glycated hemoglobin level of ≥ 6.5%. Main outcomes and measures Total retinal, mRNFL and GC-IPL thickness. Results 74,422 participants (69,985 with no DM; 4,437 with DM) were included. Median age was 59 years, 46% were men and 92% were white. Participants with DM had lower total retinal thickness (-4.57 μm, 95% CI: -5.00, -4.14; p<0.001), GC-IPL thickness (-1.73 μm, 95% CI: -1.86, -1.59; p<0.001) and mRNFL thickness (-0.68 μm, 95% CI: -0.81, -0.54; p<0.001) compared to those without DM. After adjusting for co-variates, in the GLMM, total retinal thickness was 1.99 um lower (95% CI: -2.47, -1.50; p<0.001) and GC-IPL was 1.02 μm lower (95% CI: -1.18, -0.87; p<0.001) among those with DM compared to without. mRNFL was no longer significantly different (p = 0.369). GC-IPL remained significantly lower, after adjusting for co-variates, among those with DM compared to those without DM when including only participants with no/mild DR (-0.80 μm, 95% CI: -0.98, -0.62; p<0.001). Total retinal thickness decreased 0.40 μm (95% CI: -0.61, -0.20; p<0.001), mRNFL thickness increased 0.20 μm (95% CI: 0.14, 0.27; p<0.001) and GC-IPL decreased 0.26 μm (95% CI: -0.33, -0.20; p<0.001) per unit increase in A1c after adjusting for co-variates. Among participants with diabetes, age, DR grade, ethnicity, body mass index, glaucoma, spherical equivalent, and visual acuity were significantly associated with GC-IPL thickness. Conclusion GC-IPL was thinner among participants with DM, compared to without DM. This difference persisted after adjusting for confounding variables and when considering only those with no/mild DR. This confirms that GC-IPL thinning occurs early in DM and can serve as a useful marker of DRN.


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