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Home page for Mercedes Pérez Millán

versión en español / English version

Position



Publications/Works


  • Published


    • Beyond Boolean networks: new tools for the steady state analysis of multivalued networks, with A. Dickenstein, A. Galarza Rial, J. García Galofre y R. Laubenbacher, SIAM J. Appl. Dyn. Syst. 25(1): 77-107 (2026), available online here, [Arxiv]
    • Absolute concentration robustness: algebra and geometry, with L. García Puente, E. Gross, H. Harrington, M. Johnston, N. Meshkat y A. Shiu, J. Symb. Comp. 128:102398 (2025), available online here, [Arxiv]
    • Multistationarity questions in reduced vs extended biochemical networks, with A. Dickenstein, M. Giaroli y R. Rischter, J. Math. Biol., 89:18 (2024), available online here, [Arxiv]
    • Parameter regions that give rise to 2[n/2]+1 positive steady states in the n-site phosphorylation system, with M. Giaroli, R. Rischter and A. Dickenstein. Math. Biosc. Eng., 16, pp. 7589-7615 (2019), available online here, [Arxiv]
    • Identifiability from a few species for a class of biochemical reaction networks, with G. Jeronimo and P. Solernó. B. Math. Biol., 81, pp. 2133-2175 (2019), available online http://link.springer.com/article/10.1007%2Fs11538-019-00594-0[Arxiv]
    • Multistationarity in structured reaction networks, with A. Dickenstein, A. Shiu and X. Tang. B. Math. Biol., 81, pp. 1527-1581 (2019), available online here, [Arxiv]
    • The structure of MESSI biological systems, with A. Dickenstein. SIAM J. Appl. Dyn. Syst., 17(2), pp. 1650-1682 (2018), available online here, [Arxiv]
      • (Octave files for applying the algorithm to find different steady states for the two-layer cascade with one phosphatase: circuits.m, sign_sigma.m, orthants.m, steady_states.m, sim_cascadesF1eqF2.m, Cascades_F1eqF2.m)

    • Implicit dose-response curves, with A. Dickenstein. J. Math. Biol., 70 (7), pp. 1669-1684 (2015), available online here, [Arxiv]
    • Steady States of MESSI biological systems, with A. Dickenstein. Revista MACI Vol. 5, pp. 21-24 (2015), available online here.
    • MAPK's networks and their capability for multistationarity due to toric steady states, with A. Turjanski. Math. Biosciences, 262, pp. 125-137 (2015), available online here.[Arxiv]
    • Cotas no triviales en estados estacionarios (in Spanish), with A. Dickenstein. Revista MACI Vol. 4, pp. 9-12 (2013), available online here.
    • Complex-linear invariants of biochemical networks, with R. Karp, T. Dasgupta, A. Dickenstein and J. Gunawardena. J. Theor. Biol., 311, pp. 130-138 (2012), available online here, [Arxiv]
    • Chemical reaction systems with toric steady states, with A. Dickenstein, A. Shiu and C. Conradi. B. Math. Biol., 74:5, pp. 1027-1065 (2012), available online here, [Arxiv]
    • How far is complex balancing from detailed balancing?, with A. Dickenstein. B. Math. Biol., 73:4, pp. 811-828 (2011), available online here, [Arxiv]
    • Una introducción al uso del álgebra computacional para el estudio de redes biológicas (in Spanish), with A. Dickenstein. BIOMAT II, Actas de la Academia Nacional de Ciencias , vol. XIV, 161-170, 2008, 161-170. pdf file

  • Thesis



Some talks


  • "Multistationarity and structure in enzymatic networks" (invited talk). In the "Symbolic Computation: Theory, Algorithms and Applications" session of the Mathematical Congress of the Americas 2021, Argentina.pdf file.
  • "Equilibrios y constantes de reacción: un enfoque algebraico" (invited conference in Spanish). EMALCA 2019, Universidad Nacional de la Patagonia San Juan Bosco, Comodoro Rivadavia, Chubut, Argentina. pdf file.
  • "Enzymatic networks and toric steady states" (invited talk). SIAM Conference on Applied Algebraic Geometry (AG13), Colorado State University, Fort Collins, USA. pdf file.
  • "Sequential and distributive multisite phosphorylations have toric steady states" (invited talk). SIAM Conference on Applied Algebraic Geometry (AG11), North Carolina State University, Raleigh, USA. pdf file.
  • "Un modelo discreto de la red regulatoria del factor nuclear NF-kappaB" (oral communication in Spanish). Annual Meeting of the Argentinian Mathematical Union (UMA), Tandil, Buenos aires, Argentina. pdf file.
  • "A discrete model of the nuclear factor NF-kappaB regulatory network" (invited talk). Discrete Mathematical Biology Day. UC Berkeley, USA. pdf file.
  • "¿Cuán lejos está el balanceo de los complejos de la microrreversibilidad?" (oral communication in Spanish). Annual Meeting of the Argentinian Mathematical Union (UMA), Mar del Plata, Buenos aires, Argentina. pdf file.

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Created by mpmillan
Last modified 2026-04-30 03:17 PM
 
 
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