Journal papers and book chapters (published,accepted):
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S.M. Ciupe, P. De Leenheer, and T.B. Kepler,
Paradoxical suppression of broadly neutralizing antibodies in the presence of strain specific antibodies during HIV infection, accepted for publication in Journal of Theoretical Biology pdf .
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J. Langebrake, L. Riotte-Lambert, C.W. Osenberg, and P. De Leenheer,
Differential movement and movement bias models for Marine Protected Areas,
accepted for publication in Journal of Mathematical Biology pdf .
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D. Angeli, P. De Leenheer and E.D. Sontag,
Persistence results for chemical reaction networks with
time-dependent kinetics and no global conservation laws, SIAM Journal of Applied Mathematics 71 (1), 128-146, 2011 pdf .
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P. De Leenheer, J. Dockery, T. Gedeon, and S.S. Pilyugin,
The chemostat with lateral gene transfer,
Journal of Biological Dynamics 4 (6), 607-620, 2010 pdf .
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D. Angeli, P. De Leenheer and E.D. Sontag,
Graph-theoretic characterizations of monotonicity of biochemical networks in reaction coordinates, Journal of Mathematical Biology 61 (4), 581-616, 2010 pdf .
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P. De Leenheer, J. Dockery, T. Gedeon, and S.S. Pilyugin,
Senescence and antibiotic resistance in an age-structured population model,
Journal of Mathematical Biology 61 (4), 475-499, 2010 pdf .
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L. Wang, P. De Leenheer, and E.D. Sontag,
Conditions for Global Stability of Monotone Tridiagonal Systems
with Negative Feedback, Systems and Control Letters 59 (2), 130-138, 2010
pdf .
- P. De Leenheer and N.C. Cogan, Failure of antibiotic treatment in microbial populations, Journal of Mathematical Biology 59 (4), 563-579, 2009 pdf
(also arXiv:0807.1943)
- P. De Leenheer, Within-host virus models with periodic antiretroviral therapy,
Bulletin of Mathematical Biology 71, 189-210, 2009 pdf
(also arXiv:0801.4384v1).
- D. Angeli, P. De Leenheer and E.D. Sontag, Chemical networks with inflows and outflows: A
positive linear differential inclusions approach, Biotechnology Progress 25 (3), 632-642, 2009
pdf .
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A. Ackleh and P. De Leenheer,
Discrete three-stage population model: persistence and global
stability results, Journal of Biological Dynamics, 2 (4), 415-427. 2008
pdf .
- P. De Leenheer and S.S. Pilyugin, Multi-strain virus dynamics with mutations: a global analysis,
Mathematical Medicine and Biology 25 (4), pp 285-322, 2008
pdf
(also arXiv:0707.4501/).
- P. De Leenheer and S.S. Pilyugin,
Immune response to a malaria infection: Properties of a mathematical model
(also arXiv:0707.4497/ pdf ),
Journal of Biological Dynamics, 2 (2), pp 102-120, 2008.
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W.S. Keeran, P. De Leenheer and S.S. Pilyugin, Feedback-mediated coexistence and oscillations in the chemostat,
Discrete and Continuous Dynamical Systems-B, 9 (2), pp 321-351, 2008.
pdf .
- D. Angeli, P. De Leenheer and E.D. Sontag, A Petri net approach to the study of persistence in chemical reaction networks,
Mathematical Biosciences, 210 (2), pp 598-618, 2007. pdf
(also arXiv:q-bio.MN/0608019 v2)
- D. Angeli, P. De Leenheer and E.D. Sontag, A Petri net approach to persistence analysis in chemical reaction networks,
Lecture Notes in Control and Information Sciences, 357, pp 181-316, 2007. pdf
- P. De Leenheer, D. Angeli and E.D. Sontag, Monotone chemical reaction networks,
Journal of Mathematical Chemistry, 41 (3), pp 295-314, 2007. pdf
- W.S. Keeran, P. De Leenheer and S.S. Pilyugin, Circular and elliptic orbits in a feedback-mediated chemostat,
Discrete and Continuous Dynamical Systems-B, 7, pp 779-792, 2007. pdf
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F. Mazenc, M. Malisoff and P. De Leenheer, On the stability of periodic solutions in the perturbed chemostat,
Mathematical Biosciences and Engineering, 4, pp 319-338, 2007. pdf
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P. De Leenheer, and S.S. Pilyugin, Feedback-mediated oscillatory coexistence in the chemostat,
Lecture Notes in Control and Information Sciences, 341, pp 97-104, 2006. pdf
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P. De Leenheer, D. Angeli and E.D. Sontag, Crowding effects promote coexistence in the chemostat,
Journal of Mathematical Analysis and Applications 319 (1), pp 48-60, 2006. pdf
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P. De Leenheer, S.A. Levin, E.D. Sontag and C.A. Klausmeier, Global stability in a chemostat with multiple nutrients,
Journal of Mathematical Biology 52 (4), pp 419-438 (2006). pdf
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P. De Leenheer and M. Malisoff,
A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics,
IEEE Transactions on Automatic Control 41 (2), pp 287-292, 2006. pdf
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P. De Leenheer, B. Li, H.L. Smith, Competition in the chemostat: some remarks,
Canadian Applied Mathematics Quarterly, 11 (3), pp 229-248, 2003. pdf
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P. De Leenheer, D. Angeli and E.D. Sontag, On predator-prey systems and small gain theorems,
Mathematical Biosciences and Engineering, 2, pp 25-42, 2005. pdf
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D. Angeli, P. De Leenheer and E.D. Sontag, A small-gain theorem for almost global convergence of monotone systems,
Systems and Control Letters, 52 (5), pp 407-414, 2004. pdf
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P. De Leenheer, D. Angeli and E.D. Sontag,
A feedback perspective for chemostat models with crowding effects,
Lecture Notes in Control and Information Sciences, 294, pp 167-174, 2003. pdf
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P. De Leenheer, D. Angeli and E.D. Sontag, Small-gain theorems for predator-prey systems,
Lecture Notes in Control and Information Sciences, 294, pp 191-198, 2003. pdf
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P. De Leenheer and H.L. Smith, Virus dynamics: a global analysis,
SIAM Journal on Applied Mathematics, 63 (4), pp 1313-1327, 2003. pdf
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P. De Leenheer and H.L. Smith, Feedback control for chemostat models,
Journal of Mathematical Biology, 46 (1), pp 48-70, 2003. pdf
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P. De Leenheer and D. Aeyels, Stabilization of positive systems with first integrals,
Automatica, 38 (9), pp 1583-1589, 2002. pdf
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D. Aeyels and P. De Leenheer, Extension of the Perron-Frobenius Theorem to homogeneous systems,
SIAM Journal on Control and Optimization, 41 (2), pp 563-582, 2002. pdf
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P. De Leenheer and D. Aeyels, Stabilization of positive linear systems,
Systems and Control Letters, 44 (4), pp 259-271, 2001. pdf
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P. De Leenheer and D. Aeyels, Stability properties of equilibria of classes of cooperative systems,
IEEE Transactions on Automatic Control, 46 (12), pp 1996-2001, 2001. pdf
For conference proceedings papers, reports, etc, see CV.