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.

[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.

[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.

[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.

[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.

[6]

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

[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.

[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.

[9]

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

[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.

[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.

[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.

[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.

[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.

[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.

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.

[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.

[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.

[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.

[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.

[6]

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

[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.

[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.

[9]

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

[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.

[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.

[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.

[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.

[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.

[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.

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