2013, 10(5&6): 1351-1363. doi: 10.3934/mbe.2013.10.1351

The mathematical and theoretical biology institute - a model of mentorship through research

1. 

School of Mathematical & Natural Sciences, Arizona State University, 4701 W. Thunderbird Rd, Glendale, AZ, 85306, United States, United States

2. 

Mathematics Department, University of Texas at Arlington, Box 19408, Arlington, TX 76019-0408, United States

Received  August 2012 Revised  December 2012 Published  August 2013

This article details the history, logistical operations, and design philosophy of the Mathematical and Theoretical Biology Institute (MTBI), a nationally recognized research program with an 18-year history of mentoring researchers at every level from high school through university faculty, increasing the number of researchers from historically underrepresented minorities, and motivating them to pursue research careers by allowing them to work on problems of interest to them and supporting them in this endeavor. This mosaic profile highlights how MTBI provides a replicable multi-level model for research mentorship.
Citation: Erika T. Camacho, Christopher M. Kribs-Zaleta, Stephen Wirkus. The mathematical and theoretical biology institute - a model of mentorship through research. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 1351-1363. doi: 10.3934/mbe.2013.10.1351
References:
[1]

L. M. A. Bettencourt, A. Cintrón-Arias, D. Kaiser and C. Castillo-Chávez, The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models, Physica A, 364 (2006), 513-536. doi: 10.2172/990668.  Google Scholar

[2]

C. Castillo-Chavez and C. W. Castillo-Garsow, Increasing minority representation in the mathematical sciences: Good models but no will to scale up their impact, in "Doctoral Education and the Faculty of the Future" (eds. R. G. Ehrenberg and C. V. Kuh), Cornell University Press, Ithaca, NY, (2009), 135-145. Google Scholar

[3]

C. Castillo-Chavez, C. W. Castillo-Garsow, G. Chowell, D. Murillo and M. Pshaenich, Promoting research and minority participation via undergraduate research in the mathematical sciences: MTBI/SUMS-Arizona State University, in "Proceeding of the Conference on Promoting Undergraduate Research in Mathematics" (ed. J. Gallian), American Mathematical Society, Providence, RI, 2007. Google Scholar

[4]

C. W. Castillo-Garsow, C. Castillo-Chavez and S. Woodley, A preliminary theoretical analysis of an REU's community model, to appear in Problems, Resources and Issues in Mathematics Undergraduate Studies (PRIMUS), (2012). doi: 10.1080/10511970.2012.697099.  Google Scholar

[5]

N. M. Crisosto, C. M. Kribs-Zaleta, C. Castillo-Chavez and S. Wirkus, Community resilience in collaborative learning, Discrete and Continuous Dynamical Systems Series B, 14 (2010), 17-40. doi: 10.3934/dcdsb.2010.14.17.  Google Scholar

[6]

S. P. Ellner and J. Guckenheimer, "Dynamic Models in Biology," Princeton University Press, Princeton, NJ, 2006.  Google Scholar

[7]

B. González, E. Huerta-Sánchez, A. Ortiz-Nieves, T. Vázquez-Álvarez and C. Kribs-Zaleta, Am I too fat? Bulimia as an epidemic, Journal of Mathematical Psychology, 47 (2003), 515-526. doi: 10.1016/j.jmp.2003.08.002.  Google Scholar

[8]

A. Mubayi, P. E. Greenwood, C. Castillo-Chávez, P. Gruenewald and D. M. Gorman, Impact of relative residence times on the distribution of heavy drinkers in highly distinct environments, Socio-Economic Planning Sciences, 43 (2010), 1-12. doi: 10.1016/j.seps.2009.02.002.  Google Scholar

[9]

Notices of the American Mathematical Society (AMS), Feb issues,, 1999-2011., (): 1999.   Google Scholar

[10]

M. A. Porter, Life on both sides of the fence: Mentoring versus being mentored, in "Proceeding of the Conference on Promoting Undergraduate Research in Mathematics" (ed. Joe Gallian), American Mathematical Society, Providence, RI, 2007. Available from: http://people.maths.ox.ac.uk/ porterm/papers/porter_purm.pdf. Google Scholar

[11]

D. M. Romero, C. M. Kribs-Zaleta, A. Mubayi and C. Orbe, An epidemiological approach to the spread of political third parties, Discrete and Continuous Dynamical Systems, Series B, 15 (2011), 707-738. doi: 10.3934/dcdsb.2011.15.707.  Google Scholar

[12]

F. Sánchez, X. Wang, C. Castillo-Chávez, D. M. Gorman and P. J. Gruenewald, Drinking as an epidemic: A simple mathematical model with recovery and relapse, in "Therapist's Guide to Evidence-Based Relapse Prevention" (eds. Katie Witkiewitz and G. Alan Marlatt), Academic Press/Elsevier, (2007), 353-368. Google Scholar

[13]

B. Song, M. Castillo-Garsow, K. R. Ríos-Soto, M. Mejran, L. Henson and C. Castillo-Chávez, Raves, clubs, and ecstasy: The impact of peer pressure, Mathematical Biosciences and Engineering, 3 (2006), 249-266.  Google Scholar

[14]

S. Tennenbaum, Research and education activities of the Mathematical and Theoretical Biology Institute, in "Proceeding of the Conference on Promoting Undergraduate Research in Mathematics" (ed. Joe Gallian), American Mathematical Society, Providence, RI, 2000. Google Scholar

[15]

U.S. Census Bureau, United States Census 2010, Accessed 1 Feb 2013. Available from: http://www.census.gov/popest/data/national/asrh/2011/index.html, http://www.census.gov/population/projections/data/national/2012.html. Google Scholar

show all references

References:
[1]

L. M. A. Bettencourt, A. Cintrón-Arias, D. Kaiser and C. Castillo-Chávez, The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models, Physica A, 364 (2006), 513-536. doi: 10.2172/990668.  Google Scholar

[2]

C. Castillo-Chavez and C. W. Castillo-Garsow, Increasing minority representation in the mathematical sciences: Good models but no will to scale up their impact, in "Doctoral Education and the Faculty of the Future" (eds. R. G. Ehrenberg and C. V. Kuh), Cornell University Press, Ithaca, NY, (2009), 135-145. Google Scholar

[3]

C. Castillo-Chavez, C. W. Castillo-Garsow, G. Chowell, D. Murillo and M. Pshaenich, Promoting research and minority participation via undergraduate research in the mathematical sciences: MTBI/SUMS-Arizona State University, in "Proceeding of the Conference on Promoting Undergraduate Research in Mathematics" (ed. J. Gallian), American Mathematical Society, Providence, RI, 2007. Google Scholar

[4]

C. W. Castillo-Garsow, C. Castillo-Chavez and S. Woodley, A preliminary theoretical analysis of an REU's community model, to appear in Problems, Resources and Issues in Mathematics Undergraduate Studies (PRIMUS), (2012). doi: 10.1080/10511970.2012.697099.  Google Scholar

[5]

N. M. Crisosto, C. M. Kribs-Zaleta, C. Castillo-Chavez and S. Wirkus, Community resilience in collaborative learning, Discrete and Continuous Dynamical Systems Series B, 14 (2010), 17-40. doi: 10.3934/dcdsb.2010.14.17.  Google Scholar

[6]

S. P. Ellner and J. Guckenheimer, "Dynamic Models in Biology," Princeton University Press, Princeton, NJ, 2006.  Google Scholar

[7]

B. González, E. Huerta-Sánchez, A. Ortiz-Nieves, T. Vázquez-Álvarez and C. Kribs-Zaleta, Am I too fat? Bulimia as an epidemic, Journal of Mathematical Psychology, 47 (2003), 515-526. doi: 10.1016/j.jmp.2003.08.002.  Google Scholar

[8]

A. Mubayi, P. E. Greenwood, C. Castillo-Chávez, P. Gruenewald and D. M. Gorman, Impact of relative residence times on the distribution of heavy drinkers in highly distinct environments, Socio-Economic Planning Sciences, 43 (2010), 1-12. doi: 10.1016/j.seps.2009.02.002.  Google Scholar

[9]

Notices of the American Mathematical Society (AMS), Feb issues,, 1999-2011., (): 1999.   Google Scholar

[10]

M. A. Porter, Life on both sides of the fence: Mentoring versus being mentored, in "Proceeding of the Conference on Promoting Undergraduate Research in Mathematics" (ed. Joe Gallian), American Mathematical Society, Providence, RI, 2007. Available from: http://people.maths.ox.ac.uk/ porterm/papers/porter_purm.pdf. Google Scholar

[11]

D. M. Romero, C. M. Kribs-Zaleta, A. Mubayi and C. Orbe, An epidemiological approach to the spread of political third parties, Discrete and Continuous Dynamical Systems, Series B, 15 (2011), 707-738. doi: 10.3934/dcdsb.2011.15.707.  Google Scholar

[12]

F. Sánchez, X. Wang, C. Castillo-Chávez, D. M. Gorman and P. J. Gruenewald, Drinking as an epidemic: A simple mathematical model with recovery and relapse, in "Therapist's Guide to Evidence-Based Relapse Prevention" (eds. Katie Witkiewitz and G. Alan Marlatt), Academic Press/Elsevier, (2007), 353-368. Google Scholar

[13]

B. Song, M. Castillo-Garsow, K. R. Ríos-Soto, M. Mejran, L. Henson and C. Castillo-Chávez, Raves, clubs, and ecstasy: The impact of peer pressure, Mathematical Biosciences and Engineering, 3 (2006), 249-266.  Google Scholar

[14]

S. Tennenbaum, Research and education activities of the Mathematical and Theoretical Biology Institute, in "Proceeding of the Conference on Promoting Undergraduate Research in Mathematics" (ed. Joe Gallian), American Mathematical Society, Providence, RI, 2000. Google Scholar

[15]

U.S. Census Bureau, United States Census 2010, Accessed 1 Feb 2013. Available from: http://www.census.gov/popest/data/national/asrh/2011/index.html, http://www.census.gov/population/projections/data/national/2012.html. Google Scholar

[1]

Kaitlin Riegel. Frustration in mathematical problem-solving: A systematic review of research. STEM Education, 2021, 1 (3) : 157-169. doi: 10.3934/steme.2021012

[2]

Ana Alonso Rodríguez, Hugo Beirão da Veiga, Alfio Quarteroni. The research of Alberto Valli. Discrete & Continuous Dynamical Systems - S, 2016, 9 (1) : xi-xvii. doi: 10.3934/dcdss.2016.9.1xi

[3]

Hugo Beirão da Veiga, Alessandro Morando, Paola Trebeschi. The research of Paolo Secchi. Discrete & Continuous Dynamical Systems - S, 2016, 9 (1) : iii-ix. doi: 10.3934/dcdss.2016.9.1iii

[4]

Yanan Wang, Tao Xie, Xiaowen Jie. A mathematical analysis for the forecast research on tourism carrying capacity to promote the effective and sustainable development of tourism. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 837-847. doi: 10.3934/dcdss.2019056

[5]

Daniel Genin. Research announcement: Boundedness of orbits for trapezoidal outer billiards. Electronic Research Announcements, 2008, 15: 71-78. doi: 10.3934/era.2008.15.71

[6]

Li Zhang, Xiaofeng Zhou, Min Chen. The research on the properties of Fourier matrix and bent function. Numerical Algebra, Control & Optimization, 2020, 10 (4) : 571-578. doi: 10.3934/naco.2020052

[7]

Liu Hui, Lin Zhi, Waqas Ahmad. Network(graph) data research in the coordinate system. Mathematical Foundations of Computing, 2018, 1 (1) : 1-10. doi: 10.3934/mfc.2018001

[8]

Leonid A. Bunimovich. Dynamical systems and operations research: A basic model. Discrete & Continuous Dynamical Systems - B, 2001, 1 (2) : 209-218. doi: 10.3934/dcdsb.2001.1.209

[9]

Richard Evan Schwartz. Research announcement: unbounded orbits for outer billiards. Electronic Research Announcements, 2007, 14: 1-6. doi: 10.3934/era.2007.14.1

[10]

Daniel T. Wise. Research announcement: The structure of groups with a quasiconvex hierarchy. Electronic Research Announcements, 2009, 16: 44-55. doi: 10.3934/era.2009.16.44

[11]

Chengwen Jiao, Qi Feng. Research on the parallel–batch scheduling with linearly lookahead model. Journal of Industrial & Management Optimization, 2021, 17 (6) : 3551-3558. doi: 10.3934/jimo.2020132

[12]

Jingni Guo, Junxiang Xu, Zhenggang He, Wei Liao. Research on cascading failure modes and attack strategies of multimodal transport network. Journal of Industrial & Management Optimization, 2021  doi: 10.3934/jimo.2020159

[13]

Yi Zhang, Xiao-Li Ma. Research on image digital watermarking optimization algorithm under virtual reality technology. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 1427-1440. doi: 10.3934/dcdss.2019098

[14]

Yuxue Li, Maozhu Jin, Peiyu Ren, Zhixue Liao. Research on the optimal initial shunt strategy of Jiuzhaigou based on the optimization model. Discrete & Continuous Dynamical Systems - S, 2015, 8 (6) : 1239-1249. doi: 10.3934/dcdss.2015.8.1239

[15]

Zuo-Jun max Shen. Integrated supply chain design models: a survey and future research directions. Journal of Industrial & Management Optimization, 2007, 3 (1) : 1-27. doi: 10.3934/jimo.2007.3.1

[16]

Xin Li, Ziguan Cui, Linhui Sun, Guanming Lu, Debnath Narayan. Research on iterative repair algorithm of Hyperchaotic image based on support vector machine. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 1199-1218. doi: 10.3934/dcdss.2019083

[17]

Tinggui Chen, Yanhui Jiang. Research on operating mechanism for creative products supply chain based on game theory. Discrete & Continuous Dynamical Systems - S, 2015, 8 (6) : 1103-1112. doi: 10.3934/dcdss.2015.8.1103

[18]

Aloev Rakhmatillo, Khudoyberganov Mirzoali, Blokhin Alexander. Construction and research of adequate computational models for quasilinear hyperbolic systems. Numerical Algebra, Control & Optimization, 2018, 8 (3) : 277-289. doi: 10.3934/naco.2018017

[19]

Chao Mi, Jun Wang, Weijian Mi, Youfang Huang, Zhiwei Zhang, Yongsheng Yang, Jun Jiang, Postolache Octavian. Research on regional clustering and two-stage SVM method for container truck recognition. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 1117-1133. doi: 10.3934/dcdss.2019077

[20]

Zhanyou Ma, Wenbo Wang, Wuyi Yue, Yutaka Takahashi. Performance analysis and optimization research of multi-channel cognitive radio networks with a dynamic channel vacation scheme. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020144

2018 Impact Factor: 1.313

Metrics

  • PDF downloads (142)
  • HTML views (0)
  • Cited by (2)

[Back to Top]