Sparse System Identification of Leptin Dynamics in Women With Obesity
The prevalence of obesity is increasing around the world at an alarming rate. The interplay of the hormone leptin with the hypothalamus-pituitary-adrenal axis plays an important role in regulating energy balance, thereby contributing to obesity. This study presents a mathematical model, which descri...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-04-01
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| Series: | Frontiers in Endocrinology |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fendo.2022.769951/full |
| _version_ | 1797980918617473024 |
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| author | Md. Rafiul Amin Divesh Deepak Pednekar Hamid Fekri Azgomi Herman van Wietmarschen Kirstin Aschbacher Rose T. Faghih |
| author_facet | Md. Rafiul Amin Divesh Deepak Pednekar Hamid Fekri Azgomi Herman van Wietmarschen Kirstin Aschbacher Rose T. Faghih |
| author_sort | Md. Rafiul Amin |
| collection | DOAJ |
| description | The prevalence of obesity is increasing around the world at an alarming rate. The interplay of the hormone leptin with the hypothalamus-pituitary-adrenal axis plays an important role in regulating energy balance, thereby contributing to obesity. This study presents a mathematical model, which describes hormonal behavior leading to an energy abnormal equilibrium that contributes to obesity. To this end, we analyze the behavior of two neuroendocrine hormones, leptin and cortisol, in a cohort of women with obesity, with simplified minimal state-space modeling. Using a system theoretic approach, coordinate descent method, and sparse recovery, we deconvolved the serum leptin-cortisol levels. Accordingly, we estimate the secretion patterns, timings, amplitudes, number of underlying pulses, infusion, and clearance rates of hormones in eighteen premenopausal women with obesity. Our results show that minimal state-space model was able to successfully capture the leptin and cortisol sparse dynamics with the multiple correlation coefficients greater than 0.83 and 0.87, respectively. Furthermore, the Granger causality test demonstrated a negative prospective predictive relationship between leptin and cortisol, 14 of 18 women. These results indicate that increases in cortisol are prospectively associated with reductions in leptin and vice versa, suggesting a bidirectional negative inhibitory relationship. As dysregulation of leptin may result in an abnormality in satiety and thereby associated to obesity, the investigation of leptin-cortisol sparse dynamics may offer a better diagnostic methodology to improve better treatments plans for individuals with obesity. |
| first_indexed | 2024-04-11T06:02:20Z |
| format | Article |
| id | doaj.art-b884b81d7e5347d1a3b90a4f1b9b8821 |
| institution | Directory Open Access Journal |
| issn | 1664-2392 |
| language | English |
| last_indexed | 2024-04-11T06:02:20Z |
| publishDate | 2022-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Endocrinology |
| spelling | doaj.art-b884b81d7e5347d1a3b90a4f1b9b88212022-12-22T04:41:39ZengFrontiers Media S.A.Frontiers in Endocrinology1664-23922022-04-011310.3389/fendo.2022.769951769951Sparse System Identification of Leptin Dynamics in Women With ObesityMd. Rafiul Amin0Divesh Deepak Pednekar1Hamid Fekri Azgomi2Herman van Wietmarschen3Kirstin Aschbacher4Rose T. Faghih5Department of Electrical and Computer Engineering, University of Houston, Houston, TX, United StatesDepartment of Electrical and Computer Engineering, University of Houston, Houston, TX, United StatesDepartment of Electrical and Computer Engineering, University of Houston, Houston, TX, United StatesDepartment of Nutrition and Health, Louis Bolk Instituut, Bunnik, NetherlandsDepartment of Psychiatry, Weill Institute for Neurosciences, University of California, San Francisco, San Francisco, CA, United StatesDepartment of Electrical and Computer Engineering, University of Houston, Houston, TX, United StatesThe prevalence of obesity is increasing around the world at an alarming rate. The interplay of the hormone leptin with the hypothalamus-pituitary-adrenal axis plays an important role in regulating energy balance, thereby contributing to obesity. This study presents a mathematical model, which describes hormonal behavior leading to an energy abnormal equilibrium that contributes to obesity. To this end, we analyze the behavior of two neuroendocrine hormones, leptin and cortisol, in a cohort of women with obesity, with simplified minimal state-space modeling. Using a system theoretic approach, coordinate descent method, and sparse recovery, we deconvolved the serum leptin-cortisol levels. Accordingly, we estimate the secretion patterns, timings, amplitudes, number of underlying pulses, infusion, and clearance rates of hormones in eighteen premenopausal women with obesity. Our results show that minimal state-space model was able to successfully capture the leptin and cortisol sparse dynamics with the multiple correlation coefficients greater than 0.83 and 0.87, respectively. Furthermore, the Granger causality test demonstrated a negative prospective predictive relationship between leptin and cortisol, 14 of 18 women. These results indicate that increases in cortisol are prospectively associated with reductions in leptin and vice versa, suggesting a bidirectional negative inhibitory relationship. As dysregulation of leptin may result in an abnormality in satiety and thereby associated to obesity, the investigation of leptin-cortisol sparse dynamics may offer a better diagnostic methodology to improve better treatments plans for individuals with obesity.https://www.frontiersin.org/articles/10.3389/fendo.2022.769951/fullobesityleptincortisolstate-spacesparse recoverydeconvolution |
| spellingShingle | Md. Rafiul Amin Divesh Deepak Pednekar Hamid Fekri Azgomi Herman van Wietmarschen Kirstin Aschbacher Rose T. Faghih Sparse System Identification of Leptin Dynamics in Women With Obesity Frontiers in Endocrinology obesity leptin cortisol state-space sparse recovery deconvolution |
| title | Sparse System Identification of Leptin Dynamics in Women With Obesity |
| title_full | Sparse System Identification of Leptin Dynamics in Women With Obesity |
| title_fullStr | Sparse System Identification of Leptin Dynamics in Women With Obesity |
| title_full_unstemmed | Sparse System Identification of Leptin Dynamics in Women With Obesity |
| title_short | Sparse System Identification of Leptin Dynamics in Women With Obesity |
| title_sort | sparse system identification of leptin dynamics in women with obesity |
| topic | obesity leptin cortisol state-space sparse recovery deconvolution |
| url | https://www.frontiersin.org/articles/10.3389/fendo.2022.769951/full |
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