Abstract
Racial discrimination is related to mental health challenges for Black youth and parents. The purpose of this study was to examine the role of intrafamilial factors, including parent racial worries, depressive symptoms, and racial socialization competency, on internalizing symptoms for youth. A sample of 259 Black parents (Mage = 40.6) of children (ages 6–18) was assessed to investigate how parents’ worries for their child’s racial discrimination experiences may be directly and indirectly associated with youth internalizing problems (e.g., elevated symptoms of anxiety and depression) via parental levels of depression. We then evaluated the moderating role of parental racial socialization competency. Participants completed an online questionnaire battery that included measures of racial discrimination, depression, youth internalizing problems, and racial socialization competency. Mediation analyses revealed that parental racial worry was directly and indirectly associated with youth internalizing problems via increased levels of parental depressive symptoms. Furthermore, racial socialization competency moderated the association between parental racial worries and parental depression, wherein greater racial socialization competency (e.g., confidence and skills factors) was associated with less impact of parental racial worries on parental depression. These findings provide a more nuanced understanding of the implications of racial stress for Black Americans and identify culturally relevant and familial coping mechanisms.
Highlights
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Parental racial worry is directly and indirectly associated with youth internalizing problems via increased levels of parental depressive symptoms.
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Parental racial socialization competency (e.g., confidence and skills) moderates the association between parental racial worry and parental depression.
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When parents have the skills necessary to communicate about and confidence to prepare their children to cope with racial discrimination, much of the negative impact of parent racial worry on their depressive symptoms can be reduced.
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These findings provide a more nuanced understanding of the implications of racial stress for Black Americans and identify culturally relevant and familial coping mechanisms.
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References
Achenbach, T. M., McConaughy, S. H., Ivanova, M. Y., & Rescorla, L. A. (2011). Manual for the ASEBA brief problem monitor (BPM) (pp. 1–33). Burlington, VT: ASEBA. https://doi.org/10.1007/978-1-4419-1698-3_219.
Anderson, R. E., Jones, S., Anyiwo, N., McKenny, M., & Gaylord-Harden, N. (2018). What’s race got to do with it? The contribution of racial socialization to Black adolescent coping. Journal of Research on Adolescence. Advance online publication. https://doi.org/10.1111/jora.12440.
Anderson, R. E., Jones, S. C. T., & Stevenson, H. C. (2020). The initial development and validation of the Racial Socialization Competency Scale: Quality and quantity. Cultural Diversity and Ethnic Minority Psychology, 26(4), 426–436. https://doi.org/10.1037/cdp0000316.
Anderson, R. E., & Stevenson, H. C. (2019). RECASTing racial stress and trauma: Theorizing the healing potential of racial socialization in families. American Psychologist, 74(1), 63 https://doi.org/10.1037/amp0000392.
Anderson, R. E., Hussain, S. B., Wilson, M. N., Shaw, D. S., Dishion, T. J., & Williams, J. L. (2015). Pathways to pain: Racial discrimination and relations between parental functioning and child psychosocial well-being. Journal of Black Psychology, 41(6), 491–512. https://doi-org.proxy.lib.umich.edu/10.1177/0095798414548511.
Anderson, R. E., Jones, S. C., Saleem, F. T., Metzger, I., Anyiwo, N., Nisbeth, K. S., Bess, K. D., Resnicow, K., & Stevenson, H. C. (2021). Interrupting the pathway from discrimination to Black adolescents’ psychosocial outcomes: The contribution of parental racial worries and racial socialization competency. Child Development, 92(6), 2375–2394. https://doi.org/10.1111/cdev.13607.
Ayalon, L., & Young, M. A. (2003). A comparison of depressive symptoms in African Americans and Caucasian Americans. Journal of Cross-Cultural Psychology, 34(1), 111–124. https://doi.org/10.1177/0022022102239158.
Bailey, Z. D., Krieger, N., Agénor, M., Graves, J., Linos, N., & Bassett, M. T. (2017). Structural racism and health inequities in the USA: Evidence and Interventions. The Lancet, 389(10077), 1453–1463. https://doi.org/10.1016/S0140-6736(17)30569-X.
Bandura, A. (1994). Social cognitive theory and exercise of control over HIV infection. In Preventing AIDS (pp. 25–59). Boston, MA: Springer.
Berkel, C., Murry, V. M., Hurt, T. R., Chen, Y. F., Brody, G. H., Simons, R. L., & Gibbons, F. X. (2009). It takes a village: Protecting rural African American youth in the context of racism. Journal of Youth and Adolescence, 38(2), 175–188. https://doi-org.proxy.lib.umich.edu/10.1007/s10964-008-9346-z.
Bowman, P. J., & Howard, C. (1985). Race-related socialization, motivation, and academic achievement: A study of Black youths in three-generation families. Journal of the American Academy of Child Psychiatry, 24(2), 134–141. https://doi.org/10.1016/S0002-7138(09)60438-6.
Brown, D. L. (2008). African American resiliency: Examining racial socialization and social support as protective factors. Journal of Black Psychology, 34(1), 32–48. https://doi.org/10.1177/0095798407310538.
Brown, D. L., & Tylka, T. L. (2011). Racial discrimination and resilience in African American young adults: Examining racial socialization as a moderator. Journal of Black Psychology, 37(3), 259–285. http://dx.doi.org.proxy.lib.umich.edu/10.1177/0095798410390689.
Buhrmester, M., Kwang, T., & Gosling, S. D. (2016). Amazon’s Mechanical Turk: A new source of inexpensive, yet high-quality data? https://doi.org/10.1037/14805-009.
Bynum, M. S., Burton, E. T., & Best, C. (2007). Racism experiences and psychological functioning in African American college freshmen: Is racial socialization a buffer? Cultural Diversity and Ethnic Minority Psychology, 13(1), 64 https://doi.org/10.1037/1099-9809.13.1.64.
Chlebowy, D. O., Coty, M. B., Fu, L., & Hines-Martin, V. (2018). Comorbid diabetes and depression in African Americans: Implications for the health care provider. Journal of Racial and Ethnic Health Disparities, 5(1), 111–116. https://doi.org/10.1007/s40615-017-0349-x.
Clark, R. D., Anderson, N. B., Clark, V. R., & Williams, D. R. (1999). Racism as a stressor for African Americans. A biopsychosocial model. The American Psychologist, 54(10), 805–816. https://doi.org/10.1037/0003-066X.54.10.805.
Constantine, M. G., & Blackmon, S. M. (2002). Black adolescents’ racial socialization experiences: Their relations to home, school, and peer self-esteem. Journal of Black Studies, 32(3), 322–335. JSTOR.
Davis, G. Y., & Stevenson, H. C. (2006). Racial socialization experiences and symptoms of depression among Black youth. Journal of Child and Family Studies, 15(3), 293–307. https://doi.org/10.1007/s10826-006-9039-8.
Diemer, M. A., & Li, C. H. (2011). Critical consciousness development and political participation among marginalized youth. Child Development, 82(6), 1815–1833. https://doi.org/10.1111/j.1467-8624.2011.01650.x.
English, D., Lambert, S. F., Tynes, B. M., Bowleg, L., Zea, M. C., & Howard, L. C. (2020). Daily multidimensional racial discrimination among Black US American adolescents. Journal of Applied Developmental Psychology, 66. https://doi-org.proxy.lib.umich.edu/10.1016/j.appdev.2019.101068.
Ford, K. R., Hurd, N. M., Jagers, R. J., & Sellers, R. M. (2013). Caregiver experiences of discrimination and African American adolescents’ psychological health over time. Child Development, 84(2), 485–499. https://doi-org.proxy.lib.umich.edu/10.1111/j.1467-8624.2012.01864.x.
Fisak, B., Mann, A., & Heggeli, K. (2013). The association between perceptions of parent worry and generalised anxiety disorder symptoms in a community sample of adolescents. International Journal of Adolescence and Youth, 18(4), 226–235. https://doi.org/10.1080/02673843.2012.690932.
Gibbons, F. X., Gerrard, M., Cleveland, M. J., Wills, T. A., & Brody, G. (2004). Perceived discrimination and substance use in African American parents and their children: a panel study. Journal of Personality and Social Psychology, 86(4), 517 https://doi.org/10.1037/0022-3514.86.4.517.
Gotlib, I. H., & Hammen, C. L. (2015). Handbook of Depression, Third Edition (3rd ed.). Guilford Press. https://doi.org/10.4088/JCP.15bk09796.
Harrell, S. P. (2000). A multidimensional conceptualization of racism‐related stress: Implications for the well‐being of people of color. American Journal of Orthopsychiatry, 70(1), 42–57. https://doi-org.proxy.lib.umich.edu/10.1037/h0087722.
Harrell, C. J. P., Burford, T. I., Cage, B. N., Nelson, T. M., Shearon, S., Thompson, A., & Green, S. (2011). Multiple pathways linking racism to health outcomes. Du Bois Review: Social Science Research on Race, 8(1), 143 https://doi.org/10.1017/S1742058X11000178.
Harris-Britt, A., Valrie, C. R., Kurtz-Costes, B., & Rowley, S. J. (2007). Perceived racial discrimination and self-esteem in African American youth: Racial socialization as a protective factor. Journal of Research on Adolescence, 17(4), 669–682. https://doi.org/10.1111/j.1532-7795.2007.00540.x.
Hayes, A. F. (2017). Introduction to Mediation, Moderation, and Conditional Process Analysis: A Regression-Based Approach. New York, NY: Guilford Press.
Hayes, A. F. (2015). Hacking PROCESS for estimation and probing of linear moderation of quadratic effects and quadratic moderation of linear effects. Unpublished manuscript available at http://afhayes.com/public/quadratichack.pdf.
Herda, D. (2016). The specter of discrimination: Fear of interpersonal racial discrimination among adolescents in Chicago. Social Science Research, 55, 48–62. https://doi-org.proxy.lib.umich.edu/10.1016/j.ssresearch.2015.09.010.
Hughes, D., Rodriguez, J., Smith, E. P., Johnson, D. J., Stevenson, H. C., & Spicer, P. (2006). Parents’ ethnic-racial socialization practices: A review of research and directions for future study. Developmental Psychology, 42(5), 747 https://doi-org.proxy.lib.umich.edu/10.1037/0012-1649.42.5.747.
Jones-Eversley, S., Adedoyin, A. C., Robinson, M. A., & Moore, S. E. (2017). Protesting Black inequality: A commentary on the civil rights movement and Black lives matter. Journal of Community Practice, 25(3-4), 309–324. https://doi-org.proxy.lib.umich.edu/10.1080/10705422.2017.1367343.
Jones, S. C. T., Anderson, R. E., & Stevenson, H. C. (2022). Differentiating competency from content: Parental racial socialization profiles and their associated factors. Family Process, 61(2), 705–721. https://doi.org/10.1111/famp.12699.
Jones, S. C. T., & Neblett, E. W. (2017). Future directions in research on racism-related stress and racial-ethnic protective factors for Black youth. Journal of Clinical Child & Adolescent Psychology, 46(5), 754–766. https://doi-org.proxy.lib.umich.edu/10.1080/15374416.2016.1146991.
Koning, I. M., van den Eijnden, R. J., Glatz, T., & Vollebergh, W. A. (2013). Don’t worry! Parental worries, alcohol-specific parenting and adolescents’ drinking. Cognitive Therapy and Research, 37(5), 1079–1088. https://doi-org.proxy.lib.umich.edu/10.1007/s10608-013-9545-0.
Kroenke, K., Spitzer, R. L., & Williams, J. B. (2001). The PHQ‐9: validity of a brief depression severity measure. Journal of General Internal Medicine, 16(9), 606–613. https://doi.org/10.1046/j.1525-1497.2001.016009606.x.
Lankarani, M. M., & Assari, S. (2015). Association between number of comorbid medical conditions and depression among individuals with diabetes; race and ethnic variations. Journal of Diabetes & Metabolic Disorders, 14(1), 56 https://doi.org/10.1186/s40200-015-0171-0.
Lesane-Brown, C. L. (2006). A review of race socialization within Black families. Developmental Review, 26(4), 400–426. https://doi.org/10.1016/j.dr.2006.02.001.
Lewis, T. T., Guo, H., Lunos, S., Mendes de Leon, C. F., Skarupski, K. A., Evans, D. A., & Everson-Rose, S. A. (2011). Depressive symptoms and cardiovascular mortality in older black and white adults: evidence for a differential association by race. Circulation: Cardiovascular Quality and Outcomes, 4(3), 293–299. https://doi.org/10.1161/CIRCOUTCOMES.110.957548.
Li, X., & Zhou, S. (2021). Parental worry, family-based disaster education and children’s internalizing and externalizing problems during the COVID-19 pandemic. Psychological Trauma: Theory, Research, Practice and Policy. Advance online publication. https://doi-org.proxy.lib.umich.edu/10.1037/tra0000932.
Madubata, I. J., Odafe, M. O., Talavera, D. C., Hong, J. H., & Walker, R. L. (2018). Helplessness mediates racial discrimination and depression for African American young adults. Journal of Black Psychology, 44(7), 626–643. http://dx.doi.org.proxy.lib.umich.edu/10.1177/0095798418811476.
Martin, M. J., McCarthy, B., Conger, R. D., Gibbons, F. X., Simons, R. L., Cutrona, C. E., & Brody, G. H. (2011). The enduring significance of racism: Discrimination and delinquency among Black American youth. Journal of Research on Adolescence, 21, 662–676. https://doi.org/10.1111/j.1532-7795.2010.00699.x.
Maxwell, S. E., & Cole, D. A. (2007). Bias in cross-sectional analyses of longitudinal mediation. Psychological Methods, 12(1), 23 https://doi.org/10.1037/1082-989X.12.1.23.
Maxwell, S. E., Cole, D. A., & Mitchell, M. A. (2011). Bias in cross-sectional analyses of longitudinal mediation: Partial and complete mediation under an autoregressive model. Multivariate Behavioral Research, 46(5), 816–841. https://doi.org/10.1080/00273171.2011.606716.
McNeil, S., Harris-McKoy, D., Brantley, C., Fincham, F., & Beach, S. R. (2014). Middle class African American mothers’ depressive symptoms mediate perceived discrimination and reported child externalizing behaviors. Journal of Child and Family Studies, 23(2), 381–388. https://doi.org/10.1007/s10826-013-9788-0.
McNeil Smith, S., Sun, R., & Gordon, M. S. (2019). Racial discrimination and psychological distress among African American adolescents: Investigating the social support deterioration model. Journal of Child and Family Studies, 28(6), 1613–1622. https://doi.org/10.1007/s10826-019-01397-6.
Murray, L. and Cooper, P. (2003). Intergenerational transmission of affective and cognitive processes associated with depression: infancy and the preschool years. In: Goodyer, I. M. (ed.) Unipolar depression: a lifespan perspective. Oxford University Press, Oxford.
National Public Radio, Robert Wood Johnson Foundation, & Harvard T.H. Chan School of Public Health. (2017). Discrimination in America: Experiences and views of African Americans. Princeton, NJ: Robert Wood Johnson Foundation.
Neblett, E. W. (2019). Racism and health: Challenges and future directions in behavioral and psychological research. Cultural Diversity and Ethnic Minority Psychology, 25(1), 12–20. https://doi-org.proxy.lib.umich.edu/10.1037/cdp0000253.
Neblett, E. W., Banks, K. H., Cooper, S. M., & Smalls-Glover, C. (2013). Racial identity mediates the association between ethnic-racial socialization and depressive symptoms. Cultural Diversity and Ethnic Minority Psychology, 19(2), 200–207. https://doi.org/10.1037/a0032205.
Neblett, E. W., Philip, C. L., Cogburn, C. D., & Sellers, R. M. (2006). African American adolescents’ discrimination experiences and academic achievement: Racial socialization as a cultural compensatory and protective factor. Journal of Black Psychology, 32(2), 199–218. https://doi.org/10.1177/0095798406287072.
Neblett, E. W., Smalls, C. P., Ford, K. R., Nguyên, H. X., & Sellers, R. M. (2009). Racial socialization and racial identity: African American parents’ messages about race as precursors to identity. Journal of Youth and Adolescence, 38(2), 189–203. https://doi.org/10.1007/s10964-008-9359-7.
Neblett, Jr., E. W., White, R. L., Ford, K. R., Philip, C. L., Nguyên, H. X., & Sellers, R. M. (2008). Patterns of racial socialization and psychological adjustment: Can parental communications about race reduce the impact of racial discrimination. Journal of Research on Adolescence, 18(3), 477–515. https://doi-org.proxy.lib.umich.edu/10.1111/j.1532-7795.2008.00568.x.
O’Neil, J., Wilson, M. N., Shaw, D. S., & Dishion, T. J. (2009). The relationship between parental efficacy and depressive symptoms in a diverse sample of low income mothers. Journal of Child and Family Studies, 18(6), 643 https://doi-org.proxy.lib.umich.edu/10.1007/s10826-009-9265-y.
Osborne, K. R., Caughy, M. O. B., Oshri, A., Smith, E. P., & Owen, M. T. (2020). Racism and preparation for bias within African American families. Cultural Diversity and Ethnic Minority Psychology. https://doi-org.proxy.lib.umich.edu/10.1037/cdp0000339.
Paradies, Y., Ben, J., Denson, N., Elias, A., Priest, N., Pieterse, A., & Gee, G. (2015). Racism as a determinant of health: a systematic review and meta-analysis. PloS ONE, 10(9), e0138511 https://doi.org/10.1371/journal.pone.0138511.
Phares, V., Lopez, E., Fields, S., Kamboukos, D., & Duhig, A. M. (2005). Are fathers involved in pediatric psychology research and treatment. Journal of Pediatric Psychology, 30(8), 631–643. https://doi.org/10.1093/jpepsy/jsi050.
Piper, B. J., Gray, H. M., Raber, J., & Birkett, M. A. (2014). Reliability and validity of brief problem monitor, an abbreviated form of the child behavior checklist. Psychiatry and Clinical Neurosciences, 68(10), 759–767. https://doi.org/10.1111/pcn.12188.
Preacher, K. J., Rucker, D. D., & Hayes, A. F. (2007). Addressing moderated mediation hypotheses: Theory, methods, and prescriptions. Multivariate Behavioral Research, 42(1), 185–227. https://doi.org/10.1080/00273170701341316.
Ramchandani, P., & Psychogiou, L. (2009). Paternal psychiatric disorders and children’s psychosocial development. The Lancet, 374(9690), 646–653. https://doi-org.proxy.lib.umich.edu/10.1016/S0140-6736(09)60238-5.
Richardson, L. P., McCauley, E., Grossman, D. C., McCarty, C. A., Richards, J., Russo, J. E., & Katon, W. (2010). Evaluation of the Patient Health Questionnaire-9 Item for detecting major depression among adolescents. Pediatrics, 126(6), 1117–1123. https://doi.org/10.1542/peds.2010-0852.
Ringoot, A. P., Tiemeier, H., Jaddoe, V. W., So, P., Hofman, A., Verhulst, F. C., & Jansen, P. W. (2015). Parental depression and child well-being: Young children’s self-reports helped addressing biases in parent reports. Journal of Clinical Epidemiology, 68(8), 928–938. https://doi.org/10.1016/j.jclinepi.2015.03.009.
Seaton, E. K., Caldwell, C. H., Sellers, R. M., & Jackson, J. S. (2008). The prevalence of perceived discrimination among African American and Caribbean Black youth. Developmental Psychology, 44, 1288–1297. https://doi.org/10.1037/a0012747.
Sellers, R. M., Copeland‐Linder, N., Martin, P. P., & Lewis, R. L. H. (2006). Racial identity matters: The relationship between racial discrimination and psychological functioning in African American adolescents. Journal of Research on Adolescence, 16(2), 187–216. https://doi.org/10.1111/j.1532-7795.2006.00128.x.
Singh, G. K., & Ghandour, R. M. (2012). Impact of neighborhood social conditions and household socioeconomic status on behavioral problems among US children. Maternal and Child Health Journal, 16(1), 158–169. https://doi.org/10.1007/s10995-012-1005-z.
Smalls, C., & Cooper, S. M. (2012). Racial group regard, barrier socialization, and African American adolescents’ engagement: Patterns and processes by gender. Journal of Adolescence, 35(4), 887–897. http://dx.doi.org.proxy.lib.umich.edu/10.1016/j.adolescence.2011.12.007.
Stevenson, H. C. (2014). Promoting racial literacy in schools: Differences that make a difference. New York, NY: Teachers College Press.
Stevenson, H. C., & Winn, D. M. (2016). Development of the Worrying about Racial Profiling Scale (WARP). REC Report #0003, Racial Empowerment Collaborative, Graduate School of Education. Philadelphia, PA: University of Pennsylvania.
Stokes, M. N., Hope, E. C., & Cryer-Coupet, Q. R. (2020). Black Girl Blues: The Roles of Racial Socialization, Gendered Racial Socialization, and Racial Identity on Depressive Symptoms among Black Girls. Journal of Youth and Adolescence, 49(11), 2175–2189. https://doi-org.proxy.lib.umich.edu/10.1007/s10964-020-01317-8.
Taylor, K. Y. (2016). From #Black lives matter to Black liberation. Chicago, IL: Haymarket Books.
Thomas, A. J., & Blackmon, S. M. (2015). The influence of the Trayvon Martin shooting on racial socialization practices of African American parents. Journal of Black Psychology, 41(1), 75–89. https://doi-org.proxy.lib.umich.edu/10.1177/0095798414563610.
Thomas, A. J., & Blackmon, S. M. (2015). The influence of the Trayvon Martin shooting on racial socialization practices of African American parents. Journal of Black Psychology, 41(1), 75–89. https://doi.org/10.1177/0095798414563610.
Threlfall, J. M. (2018). Parenting in the shadow of Ferguson: Racial socialization practices in context. Youth & Society, 50(2), 255–273. https://doi.org/10.1177/0044118X16670280.
Walton, Q. L., & Shepard Payne, J. (2016). Missing the mark: Cultural expressions of depressive symptoms among African-American women and men. Social Work in Mental Health, 14(6), 637–657. https://doi.org/10.1080/15332985.2015.1133470.
Wang, M. T., & Sheikh‐Khalil, S. (2014). Does parental involvement matter for student achievement and mental health in high school? Child Development, 85(2), 610–625. https://doi.org/10.1111/cdev.12153.
Watkins, D. C., Green, B. L., Rivers, B. M., & Rowell, K. L. (2006). Depression and Black men: Implications for future research. Journal of Men’s Health and Gender, 3(3), 227–235. https://doi-org.proxy.lib.umich.edu/10.1016/j.jmhg.2006.02.005.
Weissman, M. M., Wickramaratne, P., Nomura, Y., Warner, V., Pilowsky, D., & Verdeli, H. (2006). Offspring of depressed parents: 20 years later. American Journal of Psychiatry, 163(6), 1001–1008. https://doi-org.proxy.lib.umich.edu/10.1176/appi.ajp.163.6.1001.
Wildeman, C., Schnittker, J., & Turney, K. (2012). Despair by association? The mental health of mothers with children by recently incarcerated fathers. American Sociological Review, 77(2), 216–243. https://doi-org.proxy.lib.umich.edu/10.1177/0003122411436234.
Williams, D. R., Gonzalez, H. M., Neighbors, H., Nesse, R., Abelson, J. M., Sweetman, J., & Jackson, J. S. (2007). Prevalence and distribution of major depressive disorder in African Americans, Caribbean blacks, and non-Hispanic whites: Results from the National Survey of American Life. Archives of General Psychiatry, 64(3), 305–315. https://doi-org.proxy.lib.umich.edu/10.1001/archpsyc.64.3.305.
Ziadni, M. S., Sturgeon, J. A., Bissell, D., Guck, A., Martin, K. J., Scott, W., & Trost, Z. (2020). Injustice appraisal, but not pain catastrophizing, mediates the relationship between perceived ethnic discrimination and depression and disability in low back pain. The Journal of Pain, 21(5-6), 582–592. https://doi-org.proxy.lib.umich.edu/10.1016/j.jpain.2019.09.007.
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Brooks Stephens, J.R., Jones, S.C.T., Madubata, I.J. et al. It Runs in the Family: Parent Racial Worries and Youth Internalizing Problems Within Black Families. J Child Fam Stud 32, 3106–3119 (2023). https://doi.org/10.1007/s10826-023-02647-4
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DOI: https://doi.org/10.1007/s10826-023-02647-4