From Wikipedia, the free encyclopedia
Pancreatic beta cell function
Other namesGβ, HOMA-Beta, IGI, SPINA-GBeta
Specialty Endocrinology

Pancreatic beta cell function (synonyms Gβ or, if calculated from fasting concentrations of insulin and glucose, HOMA-Beta or SPINA-GBeta) is one of the preconditions of euglycaemia, i.e. normal blood sugar regulation. It is defined as insulin secretory capacity, i.e. the maximum amount of insulin to be produced by beta cells in a given unit of time.

Physiology and pathophysiology

Beta cells play a paramount role in glucose homeostasis. Progressive loss of insulin secretory capacity is a key defect associated with the transition from a healthy glycaemic state to hyperglycaemia, characteristic of untreated diabetes mellitus. In type 1 diabetes mellitus and pancreatogenic diabetes beta cell destruction is a primary event from the perspective of the feedback loop. In type 2 diabetes beta cell dysfunction is an essential constituent as well, [1] but subsequent to the development of insulin resistance. [2] [3] Other mechanisms, including lipotoxicity, amyloid deposition, oxidative stress, mitochondrial dysfunction, ER stress and inflammation may be involved as well. [4] [3] The beta cell loss in type 2 diabetes is mainly caused by reduced beta cell number rather than size. [5] Hyperglycaemia becomes clinically significant once insulin over-secretion can no longer compensate for the degree of insulin resistance. [2] [4] [1]

It remains an unsolved question if impaired pancreatic beta cell function or hypersecretion of insulin represent the primary event in the pathogenesis of type 2 diabetes. [6] Both scenarios may be cause and consequence, and it has been postulated that the direction of causality depends on the respective subtype of diabetes. [6] Therefore, they may be part of a complex feedback loop involving glucose toxicity leading to a biphasic response, thereby preventing neoplastic effects of dynamical compensation by mutant takeover. [7]

Assessing beta cell function

Measuring beta-cell function is a challenge, since insulin secretory capacity cannot be readily assessed. Therefore, indirect methods of measurement have been developed. They include dynamic and static function tests. [8] [9]

Single-point measurements

One-time measurements of certain hormones or metabolites provide some limited information. Examples are:

Although single-point measurements have the benefit of being convenient and inexpensive, they are generally not regareded as sufficiently informative for early diagnosis of impaired glucose homeostasis or early-stage type 1 diabetes. [10]

Dynamic function tests

Dynamic function tests for beta-cell function include: [11] [12] [13]

Static function tests

Static function tests for the assessment of beta-cell function comprise: [14] [15]

Challenges and limits

Measuring beta-cell function requires the rate of secretion to be interpreted in relation to the prevailing glucose concentration. [20] Therefore, a mathematical model is needed that links the time courses of insulin secretion and glucose concentration as a mechanistic causal relationship. [21] [10]

Hyberbolic relationship between insulin sensitivity and beta cell function showing dynamical compensation in "healthy" insulin resistance (transition from A to B) and the evolution of type 2 diabetes mellitus (transition from A to C).
Hyberbolic relationship between insulin sensitivity and beta cell function showing dynamical compensation in "healthy" insulin resistance (transition from A to B) and the evolution of type 2 diabetes mellitus (transition from A to C). Changed from Cobelli et al. 2007 and Hannon et al. 2018 [20] [9]

Additionally, beta-cell function has to be interpreted in light of the prevailing insulin sensitivity. [21] [20] This is necessary since the beta cell mass is adjusted as required by dynamical compensation, [22] giving rise to a hyperbolic relationship between insulin sensitivity and beta cell function. [4] [9] [1] [19] In the state of insulin resistance beta cells proliferate and their secretory capacity subsequently rises. [23] One possibility to address this relation is to resort to a normalization of beta cell function based on a disposition metric. [20] The disposition index, calculated as product of insulin sensitivity and beta cell function, is assumed to be a constant during the development of insulin resistance. It is generally assumed that the glucose tolerance of an individual is related to the disposition index. In this model, different values of glucose tolerance are represented by different hyperbolas, so that within one hyperbola the product of insulin sensitivity and beta cell function remains a constant.

In summary, to provide a meaningful mechanistic explanation of insulin-glucose homeostasis, beta cell function and insulin sensitivity have to be assessed simultaneously and it is necessary to interpret all observations in the context of insulin sensitivity [24] or resistance. [2]

See also

References

  1. ^ a b c Weir, GC; Gaglia, J; Bonner-Weir, S (March 2020). "Inadequate β-cell mass is essential for the pathogenesis of type 2 diabetes". The Lancet. Diabetes & Endocrinology. 8 (3): 249–256. doi: 10.1016/S2213-8587(20)30022-X. PMC  7098467. PMID  32006519. S2CID  211004857.
  2. ^ a b c Cersosimo, E; Solis-Herrera, C; Trautmann, ME; Malloy, J; Triplitt, CL (January 2014). "Assessment of pancreatic β-cell function: review of methods and clinical applications". Current Diabetes Reviews. 10 (1): 2–42. doi: 10.2174/1573399810666140214093600. PMC  3982570. PMID  24524730.
  3. ^ a b Wysham, C; Shubrook, J (November 2020). "Beta-cell failure in type 2 diabetes: mechanisms, markers, and clinical implications". Postgraduate Medicine. 132 (8): 676–686. doi: 10.1080/00325481.2020.1771047. PMID  32543261. S2CID  219705786.
  4. ^ a b c Saisho, Y (15 February 2015). "β-cell dysfunction: Its critical role in prevention and management of type 2 diabetes". World Journal of Diabetes. 6 (1): 109–24. doi: 10.4239/wjd.v6.i1.109. PMC  4317303. PMID  25685282. S2CID  7631395.
  5. ^ Sasaki, H; Saisho, Y; Inaishi, J; Watanabe, Y; Tsuchiya, T; Makio, M; Sato, M; Nishikawa, M; Kitago, M; Yamada, T; Itoh, H (August 2021). "Reduced beta cell number rather than size is a major contributor to beta cell loss in type 2 diabetes". Diabetologia. 64 (8): 1816–1821. doi: 10.1007/s00125-021-05467-7. PMC  8245378. PMID  33938968. S2CID  233479427.
  6. ^ a b Esser, N; Utzschneider, KM; Kahn, SE (October 2020). "Early beta cell dysfunction vs insulin hypersecretion as the primary event in the pathogenesis of dysglycaemia". Diabetologia. 63 (10): 2007–2021. doi: 10.1007/s00125-020-05245-x. PMID  32894311.
  7. ^ Karin, O; Alon, U (26 June 2017). "Biphasic response as a mechanism against mutant takeover in tissue homeostasis circuits". Molecular Systems Biology. 13 (6): 933. doi: 10.15252/msb.20177599. PMC  5488663. PMID  28652282.
  8. ^ Choi, CS; Kim, MY; Han, K; Lee, MS (March 2012). "Assessment of β-cell function in human patients". Islets. 4 (2): 79–83. doi: 10.4161/isl.19270. PMID  22627463. S2CID  29265470.
  9. ^ a b c Hannon, TS; Kahn, SE; Utzschneider, KM; Buchanan, TA; Nadeau, KJ; Zeitler, PS; Ehrmann, DA; Arslanian, SA; Caprio, S; Edelstein, SL; Savage, PJ; Mather, KJ; RISE, Consortium (January 2018). "Review of methods for measuring β-cell function: Design considerations from the Restoring Insulin Secretion (RISE) Consortium". Diabetes, Obesity & Metabolism. 20 (1): 14–24. doi: 10.1111/dom.13005. hdl: 1805/13697. PMC  6095472. PMID  28493515. S2CID  30114663.
  10. ^ a b Galderisi, A; Carr, ALJ; Martino, M; Taylor, P; Senior, P; Dayan, C (15 September 2023). "Quantifying beta cell function in the preclinical stages of type 1 diabetes". Diabetologia. 66 (12): 2189–2199. doi: 10.1007/s00125-023-06011-5. PMC  10627950. PMID  37712956.
  11. ^ Bacha, F; Gungor, N; Arslanian, SA (May 2008). "Measures of beta-cell function during the oral glucose tolerance test, liquid mixed-meal test, and hyperglycemic clamp test". The Journal of Pediatrics. 152 (5): 618–21. doi: 10.1016/j.jpeds.2007.11.044. PMC  2396878. PMID  18410762.
  12. ^ Balti, EV; Vandemeulebroucke, E; Weets, I; Van De Velde, U; Van Dalem, A; Demeester, S; Verhaeghen, K; Gillard, P; De Block, C; Ruige, J; Keymeulen, B; Pipeleers, DG; Decochez, K; Gorus, FK; Belgian Diabetes, Registry (February 2015). "Hyperglycemic clamp and oral glucose tolerance test for 3-year prediction of clinical onset in persistently autoantibody-positive offspring and siblings of type 1 diabetic patients". The Journal of Clinical Endocrinology and Metabolism. 100 (2): 551–60. doi: 10.1210/jc.2014-2035. hdl: 10067/1233730151162165141. PMID  25405499.
  13. ^ Hannon, TS; Kahn, SE; Utzschneider, KM; Buchanan, TA; Nadeau, KJ; Zeitler, PS; Ehrmann, DA; Arslanian, SA; Caprio, S; Edelstein, SL; Savage, PJ; Mather, KJ; RISE, Consortium (January 2018). "Review of methods for measuring β-cell function: Design considerations from the Restoring Insulin Secretion (RISE) Consortium". Diabetes, Obesity & Metabolism. 20 (1): 14–24. doi: 10.1111/dom.13005. hdl: 1805/13697. PMC  6095472. PMID  28493515.
  14. ^ Albareda, M; Rodríguez-Espinosa, J; Murugo, M; de Leiva, A; Corcoy, R (December 2000). "Assessment of insulin sensitivity and beta-cell function from measurements in the fasting state and during an oral glucose tolerance test". Diabetologia. 43 (12): 1507–11. doi: 10.1007/s001250051561. PMID  11151759.
  15. ^ Dietrich, JW; Abood, A; Dasgupta, R; Anoop, S; Jebasingh, FK; Spurgeon, R; Thomas, N; Boehm, BO (2 January 2024). "A novel simple disposition index (SPINA-DI) from fasting insulin and glucose concentration as a robust measure of carbohydrate homeostasis". Journal of diabetes. doi: 10.1111/1753-0407.13525. PMID  38169110.
  16. ^ Li, X; Zhang, F; Chen, H; Yu, H; Zhou, J; Li, M; Li, Q; Li, L; Yin, J; Liu, F; Bao, Y; Han, J; Jia, W (30 January 2017). "Diagnosis of insulinoma using the ratios of serum concentrations of insulin and C-peptide to glucose during a 5-hour oral glucose tolerance test". Endocrine Journal. 64 (1): 49–57. doi: 10.1507/endocrj.EJ16-0292. PMID  27725372.
  17. ^ Nauck, MA; Meier, JJ (4 December 2012). "Diagnostic accuracy of an "amended" insulin-glucose ratio for the biochemical diagnosis of insulinomas". Annals of Internal Medicine. 157 (11): 767–75. doi: 10.7326/0003-4819-157-11-201212040-00004. PMID  23208166. S2CID  27336701.
  18. ^ Matthews, DR; Hosker, JP; Rudenski, AS; Naylor, BA; Treacher, DF; Turner, RC (July 1985). "Homeostasis model assessment: insulin resistance and beta-cell function from fasting plasma glucose and insulin concentrations in man". Diabetologia. 28 (7): 412–9. doi: 10.1007/BF00280883. PMID  3899825. S2CID  24872571.
  19. ^ a b Dietrich, JW; Dasgupta, R; Anoop, S; Jebasingh, F; Kurian, ME; Inbakumari, M; Boehm, BO; Thomas, N (21 October 2022). "SPINA Carb: a simple mathematical model supporting fast in-vivo estimation of insulin sensitivity and beta cell function". Scientific Reports. 12 (1): 17659. Bibcode: 2022NatSR..1217659D. doi: 10.1038/s41598-022-22531-3. PMC  9587026. PMID  36271244. S2CID  253041870.
  20. ^ a b c d Cobelli, C; Toffolo, GM; Dalla Man, C; Campioni, M; Denti, P; Caumo, A; Butler, P; Rizza, R (July 2007). "Assessment of beta-cell function in humans, simultaneously with insulin sensitivity and hepatic extraction, from intravenous and oral glucose tests". American Journal of Physiology. Endocrinology and Metabolism. 293 (1): E1–E15. doi: 10.1152/ajpendo.00421.2006. PMID  17341552.
  21. ^ a b Ferrannini, E; Mari, A (May 2004). "Beta cell function and its relation to insulin action in humans: a critical appraisal". Diabetologia. 47 (5): 943–56. doi: 10.1007/s00125-004-1381-z. PMID  15105990. S2CID  23061377.
  22. ^ Karin, O; Swisa, A; Glaser, B; Dor, Y; Alon, U (8 November 2016). "Dynamical compensation in physiological circuits". Molecular Systems Biology. 12 (11): 886. doi: 10.15252/msb.20167216. PMC  5147051. PMID  27875241. S2CID  2643944.
  23. ^ Bergman, RN (1 February 2024). "Pancreatic β cell function versus insulin resistance: application of the hyperbolic law of glucose tolerance". The Journal of Clinical Investigation. 134 (3). doi: 10.1172/JCI176738. PMC  10836807. PMID  38299589.
  24. ^ Ahrén, B; Pacini, G (February 2004). "Importance of quantifying insulin secretion in relation to insulin sensitivity to accurately assess beta cell function in clinical studies". European Journal of Endocrinology. 150 (2): 97–104. doi: 10.1530/eje.0.1500097. PMID  14763905.
From Wikipedia, the free encyclopedia
Pancreatic beta cell function
Other namesGβ, HOMA-Beta, IGI, SPINA-GBeta
Specialty Endocrinology

Pancreatic beta cell function (synonyms Gβ or, if calculated from fasting concentrations of insulin and glucose, HOMA-Beta or SPINA-GBeta) is one of the preconditions of euglycaemia, i.e. normal blood sugar regulation. It is defined as insulin secretory capacity, i.e. the maximum amount of insulin to be produced by beta cells in a given unit of time.

Physiology and pathophysiology

Beta cells play a paramount role in glucose homeostasis. Progressive loss of insulin secretory capacity is a key defect associated with the transition from a healthy glycaemic state to hyperglycaemia, characteristic of untreated diabetes mellitus. In type 1 diabetes mellitus and pancreatogenic diabetes beta cell destruction is a primary event from the perspective of the feedback loop. In type 2 diabetes beta cell dysfunction is an essential constituent as well, [1] but subsequent to the development of insulin resistance. [2] [3] Other mechanisms, including lipotoxicity, amyloid deposition, oxidative stress, mitochondrial dysfunction, ER stress and inflammation may be involved as well. [4] [3] The beta cell loss in type 2 diabetes is mainly caused by reduced beta cell number rather than size. [5] Hyperglycaemia becomes clinically significant once insulin over-secretion can no longer compensate for the degree of insulin resistance. [2] [4] [1]

It remains an unsolved question if impaired pancreatic beta cell function or hypersecretion of insulin represent the primary event in the pathogenesis of type 2 diabetes. [6] Both scenarios may be cause and consequence, and it has been postulated that the direction of causality depends on the respective subtype of diabetes. [6] Therefore, they may be part of a complex feedback loop involving glucose toxicity leading to a biphasic response, thereby preventing neoplastic effects of dynamical compensation by mutant takeover. [7]

Assessing beta cell function

Measuring beta-cell function is a challenge, since insulin secretory capacity cannot be readily assessed. Therefore, indirect methods of measurement have been developed. They include dynamic and static function tests. [8] [9]

Single-point measurements

One-time measurements of certain hormones or metabolites provide some limited information. Examples are:

Although single-point measurements have the benefit of being convenient and inexpensive, they are generally not regareded as sufficiently informative for early diagnosis of impaired glucose homeostasis or early-stage type 1 diabetes. [10]

Dynamic function tests

Dynamic function tests for beta-cell function include: [11] [12] [13]

Static function tests

Static function tests for the assessment of beta-cell function comprise: [14] [15]

Challenges and limits

Measuring beta-cell function requires the rate of secretion to be interpreted in relation to the prevailing glucose concentration. [20] Therefore, a mathematical model is needed that links the time courses of insulin secretion and glucose concentration as a mechanistic causal relationship. [21] [10]

Hyberbolic relationship between insulin sensitivity and beta cell function showing dynamical compensation in "healthy" insulin resistance (transition from A to B) and the evolution of type 2 diabetes mellitus (transition from A to C).
Hyberbolic relationship between insulin sensitivity and beta cell function showing dynamical compensation in "healthy" insulin resistance (transition from A to B) and the evolution of type 2 diabetes mellitus (transition from A to C). Changed from Cobelli et al. 2007 and Hannon et al. 2018 [20] [9]

Additionally, beta-cell function has to be interpreted in light of the prevailing insulin sensitivity. [21] [20] This is necessary since the beta cell mass is adjusted as required by dynamical compensation, [22] giving rise to a hyperbolic relationship between insulin sensitivity and beta cell function. [4] [9] [1] [19] In the state of insulin resistance beta cells proliferate and their secretory capacity subsequently rises. [23] One possibility to address this relation is to resort to a normalization of beta cell function based on a disposition metric. [20] The disposition index, calculated as product of insulin sensitivity and beta cell function, is assumed to be a constant during the development of insulin resistance. It is generally assumed that the glucose tolerance of an individual is related to the disposition index. In this model, different values of glucose tolerance are represented by different hyperbolas, so that within one hyperbola the product of insulin sensitivity and beta cell function remains a constant.

In summary, to provide a meaningful mechanistic explanation of insulin-glucose homeostasis, beta cell function and insulin sensitivity have to be assessed simultaneously and it is necessary to interpret all observations in the context of insulin sensitivity [24] or resistance. [2]

See also

References

  1. ^ a b c Weir, GC; Gaglia, J; Bonner-Weir, S (March 2020). "Inadequate β-cell mass is essential for the pathogenesis of type 2 diabetes". The Lancet. Diabetes & Endocrinology. 8 (3): 249–256. doi: 10.1016/S2213-8587(20)30022-X. PMC  7098467. PMID  32006519. S2CID  211004857.
  2. ^ a b c Cersosimo, E; Solis-Herrera, C; Trautmann, ME; Malloy, J; Triplitt, CL (January 2014). "Assessment of pancreatic β-cell function: review of methods and clinical applications". Current Diabetes Reviews. 10 (1): 2–42. doi: 10.2174/1573399810666140214093600. PMC  3982570. PMID  24524730.
  3. ^ a b Wysham, C; Shubrook, J (November 2020). "Beta-cell failure in type 2 diabetes: mechanisms, markers, and clinical implications". Postgraduate Medicine. 132 (8): 676–686. doi: 10.1080/00325481.2020.1771047. PMID  32543261. S2CID  219705786.
  4. ^ a b c Saisho, Y (15 February 2015). "β-cell dysfunction: Its critical role in prevention and management of type 2 diabetes". World Journal of Diabetes. 6 (1): 109–24. doi: 10.4239/wjd.v6.i1.109. PMC  4317303. PMID  25685282. S2CID  7631395.
  5. ^ Sasaki, H; Saisho, Y; Inaishi, J; Watanabe, Y; Tsuchiya, T; Makio, M; Sato, M; Nishikawa, M; Kitago, M; Yamada, T; Itoh, H (August 2021). "Reduced beta cell number rather than size is a major contributor to beta cell loss in type 2 diabetes". Diabetologia. 64 (8): 1816–1821. doi: 10.1007/s00125-021-05467-7. PMC  8245378. PMID  33938968. S2CID  233479427.
  6. ^ a b Esser, N; Utzschneider, KM; Kahn, SE (October 2020). "Early beta cell dysfunction vs insulin hypersecretion as the primary event in the pathogenesis of dysglycaemia". Diabetologia. 63 (10): 2007–2021. doi: 10.1007/s00125-020-05245-x. PMID  32894311.
  7. ^ Karin, O; Alon, U (26 June 2017). "Biphasic response as a mechanism against mutant takeover in tissue homeostasis circuits". Molecular Systems Biology. 13 (6): 933. doi: 10.15252/msb.20177599. PMC  5488663. PMID  28652282.
  8. ^ Choi, CS; Kim, MY; Han, K; Lee, MS (March 2012). "Assessment of β-cell function in human patients". Islets. 4 (2): 79–83. doi: 10.4161/isl.19270. PMID  22627463. S2CID  29265470.
  9. ^ a b c Hannon, TS; Kahn, SE; Utzschneider, KM; Buchanan, TA; Nadeau, KJ; Zeitler, PS; Ehrmann, DA; Arslanian, SA; Caprio, S; Edelstein, SL; Savage, PJ; Mather, KJ; RISE, Consortium (January 2018). "Review of methods for measuring β-cell function: Design considerations from the Restoring Insulin Secretion (RISE) Consortium". Diabetes, Obesity & Metabolism. 20 (1): 14–24. doi: 10.1111/dom.13005. hdl: 1805/13697. PMC  6095472. PMID  28493515. S2CID  30114663.
  10. ^ a b Galderisi, A; Carr, ALJ; Martino, M; Taylor, P; Senior, P; Dayan, C (15 September 2023). "Quantifying beta cell function in the preclinical stages of type 1 diabetes". Diabetologia. 66 (12): 2189–2199. doi: 10.1007/s00125-023-06011-5. PMC  10627950. PMID  37712956.
  11. ^ Bacha, F; Gungor, N; Arslanian, SA (May 2008). "Measures of beta-cell function during the oral glucose tolerance test, liquid mixed-meal test, and hyperglycemic clamp test". The Journal of Pediatrics. 152 (5): 618–21. doi: 10.1016/j.jpeds.2007.11.044. PMC  2396878. PMID  18410762.
  12. ^ Balti, EV; Vandemeulebroucke, E; Weets, I; Van De Velde, U; Van Dalem, A; Demeester, S; Verhaeghen, K; Gillard, P; De Block, C; Ruige, J; Keymeulen, B; Pipeleers, DG; Decochez, K; Gorus, FK; Belgian Diabetes, Registry (February 2015). "Hyperglycemic clamp and oral glucose tolerance test for 3-year prediction of clinical onset in persistently autoantibody-positive offspring and siblings of type 1 diabetic patients". The Journal of Clinical Endocrinology and Metabolism. 100 (2): 551–60. doi: 10.1210/jc.2014-2035. hdl: 10067/1233730151162165141. PMID  25405499.
  13. ^ Hannon, TS; Kahn, SE; Utzschneider, KM; Buchanan, TA; Nadeau, KJ; Zeitler, PS; Ehrmann, DA; Arslanian, SA; Caprio, S; Edelstein, SL; Savage, PJ; Mather, KJ; RISE, Consortium (January 2018). "Review of methods for measuring β-cell function: Design considerations from the Restoring Insulin Secretion (RISE) Consortium". Diabetes, Obesity & Metabolism. 20 (1): 14–24. doi: 10.1111/dom.13005. hdl: 1805/13697. PMC  6095472. PMID  28493515.
  14. ^ Albareda, M; Rodríguez-Espinosa, J; Murugo, M; de Leiva, A; Corcoy, R (December 2000). "Assessment of insulin sensitivity and beta-cell function from measurements in the fasting state and during an oral glucose tolerance test". Diabetologia. 43 (12): 1507–11. doi: 10.1007/s001250051561. PMID  11151759.
  15. ^ Dietrich, JW; Abood, A; Dasgupta, R; Anoop, S; Jebasingh, FK; Spurgeon, R; Thomas, N; Boehm, BO (2 January 2024). "A novel simple disposition index (SPINA-DI) from fasting insulin and glucose concentration as a robust measure of carbohydrate homeostasis". Journal of diabetes. doi: 10.1111/1753-0407.13525. PMID  38169110.
  16. ^ Li, X; Zhang, F; Chen, H; Yu, H; Zhou, J; Li, M; Li, Q; Li, L; Yin, J; Liu, F; Bao, Y; Han, J; Jia, W (30 January 2017). "Diagnosis of insulinoma using the ratios of serum concentrations of insulin and C-peptide to glucose during a 5-hour oral glucose tolerance test". Endocrine Journal. 64 (1): 49–57. doi: 10.1507/endocrj.EJ16-0292. PMID  27725372.
  17. ^ Nauck, MA; Meier, JJ (4 December 2012). "Diagnostic accuracy of an "amended" insulin-glucose ratio for the biochemical diagnosis of insulinomas". Annals of Internal Medicine. 157 (11): 767–75. doi: 10.7326/0003-4819-157-11-201212040-00004. PMID  23208166. S2CID  27336701.
  18. ^ Matthews, DR; Hosker, JP; Rudenski, AS; Naylor, BA; Treacher, DF; Turner, RC (July 1985). "Homeostasis model assessment: insulin resistance and beta-cell function from fasting plasma glucose and insulin concentrations in man". Diabetologia. 28 (7): 412–9. doi: 10.1007/BF00280883. PMID  3899825. S2CID  24872571.
  19. ^ a b Dietrich, JW; Dasgupta, R; Anoop, S; Jebasingh, F; Kurian, ME; Inbakumari, M; Boehm, BO; Thomas, N (21 October 2022). "SPINA Carb: a simple mathematical model supporting fast in-vivo estimation of insulin sensitivity and beta cell function". Scientific Reports. 12 (1): 17659. Bibcode: 2022NatSR..1217659D. doi: 10.1038/s41598-022-22531-3. PMC  9587026. PMID  36271244. S2CID  253041870.
  20. ^ a b c d Cobelli, C; Toffolo, GM; Dalla Man, C; Campioni, M; Denti, P; Caumo, A; Butler, P; Rizza, R (July 2007). "Assessment of beta-cell function in humans, simultaneously with insulin sensitivity and hepatic extraction, from intravenous and oral glucose tests". American Journal of Physiology. Endocrinology and Metabolism. 293 (1): E1–E15. doi: 10.1152/ajpendo.00421.2006. PMID  17341552.
  21. ^ a b Ferrannini, E; Mari, A (May 2004). "Beta cell function and its relation to insulin action in humans: a critical appraisal". Diabetologia. 47 (5): 943–56. doi: 10.1007/s00125-004-1381-z. PMID  15105990. S2CID  23061377.
  22. ^ Karin, O; Swisa, A; Glaser, B; Dor, Y; Alon, U (8 November 2016). "Dynamical compensation in physiological circuits". Molecular Systems Biology. 12 (11): 886. doi: 10.15252/msb.20167216. PMC  5147051. PMID  27875241. S2CID  2643944.
  23. ^ Bergman, RN (1 February 2024). "Pancreatic β cell function versus insulin resistance: application of the hyperbolic law of glucose tolerance". The Journal of Clinical Investigation. 134 (3). doi: 10.1172/JCI176738. PMC  10836807. PMID  38299589.
  24. ^ Ahrén, B; Pacini, G (February 2004). "Importance of quantifying insulin secretion in relation to insulin sensitivity to accurately assess beta cell function in clinical studies". European Journal of Endocrinology. 150 (2): 97–104. doi: 10.1530/eje.0.1500097. PMID  14763905.

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