Published Work

• Selvitella, A.M. (2026). Affine-to-Linear Transformations for Quadratic-Loss Regression: Computational Implications to Federated Learning, Reversal Paradox, and Applications. International Journal of Data Science and Analytics, 22 (289). https://doi.org/10.1007/s41060-026-01268-6 

• Selvitella, A.M. and Anderson, J.R. (2026). A professional development course on data-driven dynamical systems at a primarily undergraduate institution - Part B: Professional Development Framework and Institutional Implementation. CODEE Journal, 20(2), Article 9. https://scholarship.claremont.edu/codee/vol20/iss2/9 

• Selvitella, A.M. and Anderson, J.R. (2026). A professional development course on data-driven dynamical systems at a primarily undergraduate institution - Part A: Scientific Content. CODEE Journal, 20(2), Article 3. https://scholarship.claremont.edu/codee/vol20/iss2/3 

• Selvitella, A.M. (2026). Beyond integrating factors: A unified cohomological perspective from the transport equation to normal form theory. Research in Mathematics, 13(1), 1-25. https://doi.org/10.1080/27684830.2026.2654215 

• Selvitella, A.M. (2026). Are PDE Foundation Models Really Foundational? Controversies in Generalization, Refinement, and Scientific Trustworthiness. To appear in IEEE Computing in Science and Engineering - Special Issue on Controversies on the Usage of AI/ML for Science and Engineering. https://doi.ieeecomputersociety.org/10.1109/MCSE.2026.3671716 

• Blackford, D. and Selvitella, A.M. (2025). Data science academic programs in the pre-ChatGPT era: a curated dataset. Scientific Data, 13, 236. https://doi.org/10.1038/s41597-026-06553-4 

•  Selvitella, A.M. and Foster, K.L. (2025). AI tools could decrease the appeal of predatory journals. Nature, 646, 38. doi: https://doi.org/10.1038/d41586-025-03182-6. 

• Selvitella, A.M. and Allen, E. (2026). On the effectiveness of sparse identification methods to detect nonlinear models of oscillatory dynamics in psychology and the life sciences. Nonlinear Dynamics, Psychology, and Life Sciences, 30(1), 31-58. 

• Selvitella, A.M. and Foster, K.L. (2025). Sharp conditions for the existence of smooth periodic solutions to a hybrid dynamical system for human running via algebraic geometric tools. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 481, 20250096. https://doi.org/10.1098/rspa.2025.0096 

• Selvitella, A.M. (2025). On the Effectiveness of Sparse Identification Methods to Detect Nonlinear Models of Oscillatory Dynamics in the Life Sciences. Society for Chaos Theory in Psychology & Life Sciences Newsletter, 32 (4), 7. 

• Selvitella, A.M. and Foster, K.L. (2025). A mathematical model of hopping with stopping controlled by muscle damping instantaneous change: biological implications and limitations. The NSF-Simons National Institute for Theory and Mathematics in Biology - Booklet of Abstracts, 160. link

• Selvitella, A.M. and Foster, K.L. (2024). Some comments on the paper ``Is human height based on a Lucas sequence relationship between the foot height, tibial length, femur length and upper body length?" and an alternative analysis. Journal of Anatomy, 246(4), 631-632.

• Selvitella, A.M. and Foster, K.L. (2024). An approximate solution of the SLIP model under the regime of linear angular dynamics during stance and the stability of symmetric periodic running gaits. Journal of Theoretical Biology, 595, 111934. https://doi.org/10.1016/j.jtbi.2024.111934

• Selvitella, A.M. and Foster, K.L. (2023). Gait stability of the spring-mass model of planar locomotion on inclines. Integrative and Comparative Biology, 62, S99-S99. 

•  Foster, K.L. and Selvitella, A.M.. (2023). Anolis ecomorph biomechanics across arboreal environments: What can machine learning tell us about behavioral plasticity in lizards?.  Integrative and Comparative Biology, 62, S99-S99.

• Selvitella, A.M. and Foster, K.L. (2023). On the variability and dependence of human leg stiffness across strides during running and some consequences for the analysis of locomotion data. Royal Society Open Science, 10, 230597. https://doi.org/10.1098/rsos.230597.

• Foster, K.L. and Selvitella, A.M. (2022). Transfer of Anolis locomotor behaviour across environments: implications for phenotypic plasticity and adaptive radiation?. Integrative and Comparative Biology, 62(3), 774–790. https://doi.org/10.1093/icb/icac015.

• Selvitella, A.M. and Foster, K.L. (2022). The spring-mass model and other reductionist models of bipedal locomotion on inclines. Integrative and Comparative Biology, 62(5), 1320–1334. https://doi.org/10.1093/icb/icac047.

• Foster, K.L. and Selvitella, A.M. (2020). Learning the locomotion behaviour of lizards transfers across environments. ICML 2020 Workshop on Computational Biology (spotlight presentation). http://www.comparativebiomechanics.com/Foster%20and%20Selvitella%202020.pdf

Talks and Seminars

• 12th October, 2024. Selvitella, A.M. On some mathematical laws governing terrestrial locomotion. Invited Talk at the 2024 Great Lakes SIAM Annual Meeting 2024. Purdue University Northwest, Hammond, IN. Co-author: K.L. Foster. 

• 4th October, 2024. Selvitella, A.M. On some matters regarding neural networks and differential equations. Contributed Talk at the Mathematical Foundations of Machine Learning Annual Meeting 2024. Miami University, Oxford, OH. 

• 1st August, 2024. Selvitella, A.M. On sparse identification of nonlinear dynamics. Tutorial (Datapalooza) at the Society for Chaos Theory in Psychology & Life Sciences Annual Meeting 2024. University of Cincinnati, Cincinnati, OH. 

• 31st July, 2024. Selvitella, A.M. On the variability of human leg stiffness across strides and data analysis consequences. Contributed Talk at the Society for Integrative and Comparative Biology Annual Meeting 2024, Seattle, WA. Co-author: K.L. Foster. 

• 5th January, 2024.  K.L. Foster.The ecomorphology of primates is detected in the long bones. Contributed Talk at the Society for Integrative and Comparative Biology Annual Meeting 2024, Seattle, WA. Co-author: A.M. Selvitella.

• 4th January, 2024. Selvitella, A.M. On the variability of human leg stiffness across strides and data analysis consequences. Contributed Talk at the Society for Integrative and Comparative Biology Annual Meeting 2024, Seattle, WA. Co-author: K.L. Foster.

• 27th March, 2023. Selvitella, A.M. Some Interesting Problems in the Theory and Applications of Mathematics and Statistics to Complex Biological Systems. Bridge to Research Seminar. Purdue University.

• 12th August, 2022. Foster, K.L. and Selvitella, A.M. Statistical approaches in biomechanics: What can transfer learning tell us about lizard locomotion? Midwest workshop of women in experimental biology: Towards an integration of modern machine learning methods to the biological sciences. Ball State University, Muncie, IN.

• July 10th - July14th, 2022. Foster, K.L.  Transfer of Anolis locomotor behaviour across environments and species. ISMB 2022 - 30th Conference for Intelligent Systems for Molecular Biology (online).

• July 10th - July14th, 2022. Selvitella, A.M. and Foster, K.L. The spring-mass model and other reductionist models of bipedal locomotion on inclines. ISMB 2022 - 30th Conference for Intelligent Systems for Molecular Biology (online).

• 2nd June, 2022. Selvitella, A.M. and Foster, K.L.  Anolis Ecomorph Biomechanics Across Arboreal Environments: What Can Machine Learning Tell Us About Behavioral Plasticity In Lizards?. SSC - Statistical Society of Canada - Annual Meeting (online).

• 9th May - 13th May, 2022. Selvitella, A.M. and Foster, K.L. The spring-mass model and other reductionist models of bipedal locomotion on inclines. CSZ - Canadian Society of Zoology - Annual Meeting (online).

• 9th May - 13th May, 2022. Foster, K.L. and Selvitella, A.M. Transfer of Anolis locomotor behaviour across environments and species. CSZ  - Canadian Society of Zoology - Annual Meeting (online).

• 16th March - 17th March, 2022. Selvitella, A.M. and Foster, K.L. Gait stability of the spring-mass model of planar locomotion on inclines. 4th Annual Conference on Quantitative Approaches in Biology. Northwestern University, Center for quantitative biology (online).

• 16th March - 17th March, 2022. Foster, K.L. and Selvitella, A.M. Anolis ecomorph biomechanics across arboreal environments: What can machine learning tell us about behavioral plasticity in lizards?. 4th Annual Conference on Quantitative Approaches in Biology. Northwestern University, Center for quantitative biology (online).

• 7th January 2022.  Foster, K.L.  and Selvitella, A.M. Anolis ecomorph biomechanics across arboreal environments: What can machine learning tell us about behavioral plasticity in lizards?. SICB - The Annual Meeting of the Society of Experimental Biology, Phoenix, AZ.

• 4th January 2022. Selvitella, A.M. and Foster, K.L. Gait stability of the spring-mass model of planar walking on inclines. SICB - The Annual Meeting of the Society of Experimental Biology, Phoenix, AZ.

Workshops and Conferences

• 12th August, 2022. Midwest workshop of women in experimental biology: Towards an integration of modern machine learning methods to the biological sciences (MWWEB 2022). Ball State University, Muncie, IN. Sponsor: Society for Experimental Biology. Organizers: Foster, K.L. and Selvitella, A.M.

Ongoing Projects

• NSF RUI: Collaborative Research: DMS/NIGMS 1: The mathematical laws of morphology and biomechanics through ontogeny. Awards # 2152792 & # 2152789.

Previous Projects

• NSF - Simons Pilot Project: On the mathematical and physical laws of the morphology and biomechanics of mourning geckos through ontogeny.