PUBLICATIONS
-
(with G. Borgioli and M. Ughi), Stefan
Problems with Nonlinear Boundary Conditions:
The Polygonal Method, ZAMM,
58, (1978), 530-546.
- (with G. Borgioli and M. Ughi)
Il Metodo di H\"uber per Problemi a Contorno Libero
con Dominio Inizialmente Degenere,
Sem. Inst. Mat. U. Dini, Florence,
10,(1978), 1-23.
-
(with J.R. Cannon) On the
Existence of Solutions of Boundary Value Problems
in Fast Chemical Reactions,
Boll. Un. Mat.
Ital.5,(15)--B, (1978),
835-843.
-
(with J.R. Cannon) The Initial Value Problem
for the Boussinesq Equations with Data in Lp,
Approximation Methods for Navier Stokes
Equations,
Springer Lecture Notes, 771, (1979),
129-144.
-
(with J.R. Cannon) The Steady State
Stefan Problem with Convection with Mixed
Temperature and Nonlinear
Boundary Conditions, Proceedings of
Free Boundary Problems Symposium, Pavia,
(1979), 232--265; Edited by C. Baiocchi
and E. Magenes.
- (with J.R. Cannon and G.K. Knightly)
The Steady State Stefan Problem with Convection,
Archive for Rational Mechanics
and Analalysis, 73,(1980),
79-97.
- (with J.R. Cannon), On the Existence of
Weak Solutions to an n-dimensional Stefan
Problem with Nonlinear Boundary Conditions,
SIAM Jour. Math. Anal.,
11(4), (1980), 632-645.
- Regularity Results for the Porous Medium
Equation,
Annali di Matematica Pura ed Applicata
CXXI(IV), (1980), 249-262.
- Regularity Results for the two Phase
N-dimensional Stefan Problem,
Boll. Un. Mat.
Ital.,1, (1980), 129-152.
- (with M. Pierre) On the Maximum Principle for
Pseudo-Parabolic Equations,
Indiana Univ. Math. Jour.
30, (1981), 821-854.
- Interior and Boundary Regularity for
a Class of Free Boundary Problems,
Pitman 78, (1981), 383-395; Edited
by A.Fasano and M. Primicerio.
- (with R.E. Showalter) Implicit Degenerate
Evolution Equations and Applications,
SIAM Jour. Math. Anal.,
12(5), (1981), 731-751.
- Continuity of Weak Solutions to Certain
Singular Parabolic Equations,
Annali di Matematica Pura ed Applicata
CXXX(IV), (1982), 131-177.
- (with R.E. Showalter) A Pseudo-Parabolic
Variational Inequality and Stefan Problem,
Non Linear Analysis TMA
6, (1982), 279-299.
- Continuity for Singular Parabolic Equations,
Nonlinear Phenomena in Mathematical
Sciences, Acad. Press, (1982), 307-312;
Edited by Laksmikantam.
- (with R.E. Showalter)
Free Boundary Problems for a
Degenerate Parabolic System,
Journal of Differential Equations,
50(1), (1983), 1-19.
- Continuity of Weak Solutions to a General
Porous Medium Equation,
Indiana Univ. Math. Jour.
32(1), (1983), 83-118.
- (with R. Spigler) An Algorithm for the One
Phase Stefan Problem,
Rendiconti Seminario Matematico
Univ. Padova,
69, (1983), 109-134.
- (with J.R. Cannon and K.G. Knightly) The
Bidimensional Stefan Problem with Convection:
The Time Dependent Case,
Comm. in Part. Diff. Eqs.
8(14), (1983),
1549-1604.
- Local Regularity of Weak Solutions of
Degenerate Elliptic Equations,
Non Linear Analysis TMA
7(8), (1983), 827-850.
- Change of Phase with Convection,
Applied Nonlinear Functional Analysis,
Peter Lang 25, (1983), 1-18; Edited by
R. Gorenflo and K.H. Hoffmann.
- (with N.S. Trudinger) Harnack Inequalities for
Quasi-Minima of Variational Integrals,
Ann. de l'Institut
H. Poincaré,
1(4), (1984), 295-308.
- (with A. Friedman) The Ill-Posed Hele-Shaw
Model and the Stefan Problem for Supercooled
Water,
Trans. Amer. Math. Soc.,
282(1),(1984),183-204.
- (with D. Hoff) An Interface Tracking
Algorithm for the Porous Medium Equation,
Trans. Amer. Math. Soc.,
, 284(2), (1984), 463-500.
- (with A. Friedman) Regularity of Solutions
of Nonlinear Degenerate Parabolic Systems,
Jour. f"ur die Reine und Angewandte
Mathematik
349, (1984), 83-128.
- (with H.W. Alt) Flow of Oil and Water
Through Porous Media, Asterisque,
Soc. Mathematique de France, 118, (1984), 89-108.
- Conduction-Convection Problems with Change of phase,
Free Boundary Problems and Applications,
Pitman, (1984), 1-14; Edited by Fremond,
Damlamian and Bossavit.
- (with H.W. Alt) Non Steady Flow
of Water and Oil
Through Inhomogeneous Porous Media,
Annali Scuola
Normale Superiore di Pisa,
Ser. IV, XII(3), (1985),
335-392.
- The Flow of Two Immiscible Fluids Through
a Porous Medium; Regularity of the Saturation,
Theory and Applications of Liquid Crystals,
Springer Verlag Lecture Notes, #5,
(1985), 123-143; Edited by
D. Kinderlehrer and Ericksen.
- Periodic Solutions of the Dam Problem,
Nonlinear Evolution Equations:
Qualitative Properties of Solutions, Pitman
# 149, (1985), 77-84; Edited by A. Tesei
and L. Boccardo.
- Remarks on Some Ill Posed Problems.
Nonlinear PDE's, Australian Nat.
Univ. Camberra, (1985), 32-56; Edited by
N. Trudinger and L. Simon.
- (with C. Elliott) Existence for a Problem
in Ground Freezing,
Non Linear Analysis TMA
9(9), (1985), 953-968.
- (with A. Friedman) H"older Estimates for
Nonlinear Degenerate Parabolic Systems,
Jour. f"ur die Reine und Angewandte
Mathematik
357, (1985), 1-22.
- (with A. Fasano and M. Primicerio) On a
Free Boundary Problem Related to an Irreversible
Process,
Control and Cybernetics,
14(1-3), (1985),
195-219.
-
On the Local Behavior of Solutions of Degenerate
Parabolic Equations with Measurable Coefficients,
Annali Scuola
Normale Superiore di Pisa,
Ser. IV, X(3), (1986), 487-535.
- (with A. Friedman) Bubble Growth
in Porous Media,
Indiana Univ. Math. Jour.
35(3), (1986), 573-606.
- (with C. Elliot and A. Friedman) The Free
Boundary of a Flow in a Porous Body Heated from
its Boundary,
Non Linear Analysis TMA
10, (1986), 879-900.
- A Boundary Modulus of Continuity for a Class of
Singular Parabolic Equations,
Journal of Differential Equations,
63(3), (1986), 418-447.
- (with A. Friedman) Periodic Behavior
of Solutions for the Evolutionary Dam Problem and
Related Free Boundary Problems,
Comm. in Part. Diff. Eqs.
11(12), (1986), 1297-1377.
- (with A. Friedman) Conduction-Convection
with a Change of Phase,
Journal of Differential Equations,
62(2), (1986), 129-185.
- Harnack Type Inequalities for Some Degenerate
Parabolic Equations,
Nonlinear Diffusion Equations
and Their Equilibrium States
Mathematical Sciences Research
Institute, Publ.
Springer
#12, (1987), 267-272;
Edited by W.M. Ni, L.A. Peletier
and J. Serrin.
- (with R. Gariepy) On the Local Behavior of
Solutions for an Elliptic-Parabolic Equation,
Archive for Rational Mechanics and
Analysis,
97(1), (1987), 1-17.
- Intrinsic Harnack--Type Inequalities, for
Solutions of Degenerate Parabolic Equations,
Archive for Rational Mechanics and
Analysis,
100(2), (1987), 129-147.
- Local Regularity and Extinction Free Boundary
for a Singular Parabolic Equation,
Free Boundary Problems and Applications,
Pitman, (1988), 1-7; Edited by J. Sprekels and
K.H. Hoffman.
- Initial Traces for Degenerate and Singular
Evolution Equations,
Problems Involving Change of Type,
Springer Lecture notes in Physics, # 359,
(1988), 175-190; Conf.
for the 60th birthday of J. Hale;
Edited by K. Kirchg"assner.
- (with Chen Ya-zhe) On the Local Behaviour of
Solutions of Singular Parabolic Equations,
Archive for Rational Mechanics and
Analysis,
103(4), (1988), 319-346.
- Harnack Estimates in Certain Function Classes,
Atti Seminario Matematico e Fisico
Univ. Modena
XVI, (1988), 173-182;
invited paper for the 70th of
Renato Nardini.
- (with T.Battacharya and J.Manfredi) Limits as
p->\infty of Deltap
up=f,
and Extremal Problems in
W{1,infty},
Rendiconti Seminario Matematico Univ.
Torino.
(Fasc. Spec.), (1989), 15-68
- (with Chen Ya-zhe) Boundary Estimates for
Solutions of Nonlinear Degenerate Parabolic Systems,
Jour. f"ur die Reine und Angewandte
Mathematik
395, (1989), 102-131.
- (with M.A. Herrero) On the Cauchy Problem and
Initial Traces for a Degenerate Parabolic Equation,
Trans. Amer. Math. Soc.,
314(1), (1989), 187-224.
- (with D.Andreucci) A New Approach to Initial
Traces in Nonlinear Filtration,
Ann. de l'Institut
H. Poincaré,
7(4), (1990), 305-334.
- (with M.A. Herrero) Nonnegative Solutions of
the Evolution p-Laplacian Equation; Initial
Traces and Cauchy Problem when 1<p< 2,
Archive for Rational Mechanics and
Analysis,
1(3), (1990), 225--290.
- (with D.Andreucci) Behaviour at Infinity of
Solutions of Certain Degenerate Evolution Equations
with Strongly Nonlinear Sources.
Annali Scuola
Normale Superiore di Pisa,
Ser. IV, XV(3), (1991),
363-441.
- (with Y.C.Kwong and V.Vespri) Local Analiticity
and Asymptotic Behaviour of Solutions of Certain Singular
Parabolic Equations,
Indiana Univ. Math. Jour.
40(2), (1991), 741-765.
- (with D.Andreucci) Weak Solutions of Equations
of the Type of Nonlinear Filtration,
Non Linear Analysis TMA
19(1), (1992), 29-41.
- (with Y.C.Kwong) Harnack Estimates and
Extinction Profile for Weak Solutions of Certain Singular
Parabolic Equations,
Trans. Amer. Math. Soc.,
330(2), (1992), 783-811.
- (with Chen Ya-Zhe) H"older Estimates of
Solutions of Singular Parabolic Equations with
Measurable Coefficients,
Archive for Rational Mechanics and
Analysis,
118, (1992), 257-271.
- (with J. Manfredi and V. Vespri) A Note on
Boundary Regularity for Certain Degenerate Parabolic
Equations,
Nonlinear Diffusion Equations and
Their Equilibrium States, Birkh"auser,
Boston,
1992, 177-182; Edited by N.G. Lloyd,
W.M. Ni, L.A. Peletier and J. Serrin.
- (with J. Manfredi) On the Higher Integrability
of the Gradient of Weak Solutions of Certain
Degenerate Elliptic Equations,
American Journal of Math.,
115(5), (1993), 1107-1134.
- (with Y-Z Chen) On the Harnack Inequality for
Nonnegative Solutions of Singular Parabolic Equations,
Degenerate Diffusion; The
IMA Volumes in Math. and its Appl., Springer
47, (1993), 61-69; Edited by W.M. Ni,
L.A. Peletier and J.L. Vazquez.
- (with M. O'Leary) Three-Dimensional
Conduction-Convection with Change of Phase,
Archive for Rational Mechanics and
Analysis,
123, (1993), 99-116.
- (with M. O'Leary) Local
Ca Convergence of the
Elliptic Regularizations of Parabolic Equations,
Meccanica,
28, (1993), 97-102; (invited
paper for the 70th birthday of G. Sestini).
- Degenerate and Singular Parabolic Equations,
Recent Advances in Partial Diff. Equ.,
J. Wiley, Research in Applied Mathematics,
Editor P.G. Ciarlet, (1994), 55-84.
- (with V. Vespri) Continuity for Bounded
Solutions of Multiphase Stefan Problem,
Rendiconti Accademia Nazionale
dei Lincei
9(5), (1994), 297-302.
- (with V. Vespri) On the Singular Equation
b(u)t=Delta u.
Archive for Rational Mechanics and
Analysis,
132, (1995), 247-309.
- (with M. O'Leary), Conduction-Convection
problems with Change of Phase,
Nonlinear Problems in Applied
Mathematics, Nov. 1995, 104-115; SIAM
special Volume, for the 70th birthday
of I. Stackgold. Edited by
T.S. Angell, L.P. Cook, R.E. Kleinman
and W.E. Olmstead.
- (with D. Diller) About a Singular
Parabolic Equation arising in Thin Film
Dynamics and in the Ricci Flow for Complete
R2,
Lecture Notes in Pure
and Applied Mathematics, Marcel Dekker
New York, Vol. 177, Nov. 1995,
103-120. Special Volume for the 70th birthday
of C. Pucci. Edited by G. Talenti,
E. Vesentini and P. Marcellini.
- (with D. Diller and S. Davis), Some a Priori
Estimates for a Singular Evolution Equation
Arising in Thin Film Dynamics,
SIAM Jour. Math. Anal.,
27(3), (1996), 638-660.
- (with D. Diller) On the Asymptotic Behavior
of Drying a Photographic Film,
Advances in Diff. Equations,
1(6), (1996), 989-1003.
- (with G.Alessandrini), Determining 2-Dimensional
Cracks in 3--Dimensional Bodies: Uniqueness and
Stability,
Indiana Univ. Math. Jour.
46(1), (1997), 1-82.
- Parabolic Equations with Multiple
Singularities or Degeneracies;
Equadiff 9
Brno, (1997) 25-48
- (with D. Diller) A New Form of the
Sobolev Multiplicative
Inequality and Applications to the Asymptotic
Decay of Solutions to the Neuman Problem for
Quasilinear Parabolic Equations with Measurable
Coefficients
Nat. Acad. of Sciences of Ukraine,
Nonlinear Boundary Value Problems
Kiev, Ukraine, (1997), 8, 81--88.
- (with D. Diller) Singular Semilinear
Elliptic equations in
L1(R
N),
Non Linear Differential Equations
and their Applications
#35, (1998), 143-182; Birkh"auser.
Invited paper for the H. Amann Anniversary Volume.
- (with D. Andreucci and G. Caruso),
Fingering in a Hele-Shaw Cell as an Obstacle-like
Problem
Indiana Univ. Math. Jour.
49(4), 2000, 1287--1321.
- (with G.Q. Cheng) Stability of Entropy
Solutions to the Cauchy Problem for a Class of
Hyperbolic-Parabolic Equations
SIAM Jour. Math. Anal.,
33(4), 751-762.
- (with D. Andreucci and P. Bisegna),
Homogenization and Concentrated Capacity in Reticular
Almost Disconnected Structures,
Comptes Rendus Acad.
des Sciences Paris
Ser. I, 335(4), (2002), 329-332.
- (with D. Andreucci and P. Bisegna)
Homogenization
and Concentrated Capacity for the Heat Equation
with non Linear Variational Data in Reticular Almost
Disconnected Structures, and Applications to
Visual Transduction,
Annali di Matematica Pura
e Applicata
182(4), 2003, 375-407
- (wih H. Khanal V. Alexiades and H. Hamm),
Numerical Simulations of diffusion
of Second Messengers cGMP and Ca2+ in Rod
Photoreceptors
American Inst. of Physics
Vol. 665, Unsolved Problems of Noise and
Fluctuations, Washington DC, (2003), 165-172
- (with D. Andreucci, P. Bisegna, and H.E. Hamm),
Mathematical Model of the Spatio-Temporal Dynamics
of Second Messengers in Visual Transduction,
Biophysical Journal,
85:1358-1376 (2003)
- (with Andreucci and Caruso) Ill-Posed
Hele-Shaw Flows,
Free Boundary Problems, ISNM Vol.147,
Birkhauser, 2003, 27-52.
- (with H. Khanal and V. Alexiades),
Response of Dark-Adapted Retinal Rod
Photoreceptors
Proceedings of Dynamical Systems
and Applications, Morehouse Vol 4, 2004, 138-145
- (with D.Andreucci and P. Bisegna), Mathematical
Problems in Visual Transduction, ( Trends in
Partial Differential Equations in Mathematical Physics, Vol 81,
Birkhauser 2005); invited paper for the 70th birthday of
V.A. Solonnikov
- (with J. M. Urbano and V. Vespri)
Current Issues on Singular and Degenerate Evolution
Equations (pages 1-109)
Invited Chapter for the
Handbook of Differential Equations
Elsevier, 2004, Vol.1, 169-286 (Edited by C. Dafermos
and E. Feireisl)
- (with J.N. McLaughlin, L.Shen, M.Holinstat, J. D. Brooks,
and H.E. Hamm) Functional Selectivity of G Protein Signaling by
Agonist Peptides and Thrombin for the Protease-Activated Receptor-1,
J. of Biological Chemistry and Molecular Biology,
Vol. 280(6), July 2005, 25048-25059
- (with D. Andreucci and P. Bisegna)
Homogenization
and Concentration of Capacity in the Rod Outer
Segment with Incisures
Applicable Analysis, 85(1-3), 2006, 303-331
(special issue in memory of C. Pucci)
- (with G. Caruso, H. Khanal, V. Alexiades, F. Rieke,
H.E. Hamm) Mathematical and Computational Modeling of
Spatio-Temporal Signaling in Rod Phototransduction,
IET Systems Biology, 152(3), 2005, 119-137.
- (with U.Gianazza and V. Vespri)
Local Clustering of the Non-Zero Set of Functions in W^{1,1}
Rend. Accad. Naz. Lincei,17,
(2006), 223-225
- (with D.Andreucci, L. Shen and H.E. Hamm) Fluctuations
of the Single Photon response in Visual Transduction,
Americal Inst. of Physics, Noise and Fluctuations, 2005, 553-556.
- (with G. Caruso, P. Bisegna, L. Shen, D. Andreucci,
H.E. Hamm) Modeling the Role of Incisures in Phototransduction in
Vertebrate Photoreception
Biophysical Journal,
91:1192-1212 (2006)
- (with P. Hinow, C.E. Rogers, C.E. Barbieri, J.A. Pietenpol,
A.Kenworthy) The DNA binding activity of p53 displays
reaction-diffusion kinetics
Biophysical Journal,
91:330-342 (2006)
- (with U.Gianazza and V. Vespri)
Intrinsic Harnack Estimates for Nonnegative Local
Solutions of Degenerate Parabolic Equations
ERA-AMS, 12 (2006), 95-99
- (with U.Gianazza and V. Vespri)
Intrinsic Harnack Estimates for Non-Negative Solutions of
Quasilinear Degenerate Parabolic Equations.
Acta Mathematica, 200, (2008), 181-209
- (with U.Gianazza and V. Vespri)
Sub-Potential Lower Bounds for Non-Negative Solutions
to Certain Quasi-Linear Degenerate Parabolic Equations,
Duke Mathematical Journal, 143(1), 2008, 1-15
- (with U.Gianazza and V. Vespri)
Forward, Backward and Elliptic Harnack Inequalities
for Non-Negative Solutions to Certain Singular
Parabolic Differential Equations,
Ann. Scuola Norm. Sup. di Pisa Cl. Sc.
(5) Vol. IX, (2010), 385-422
- (with U.Gianazza and V. Vespri)
Intrinsic Harnack Estimates for Non-Negative Solutions of
Quasilinear Singular Parabolic Partial Differential Equations.
Rend. Accad. Naz. Lincei,18,
(2007), 359-364
- (with G. Caruso, P. Bisegna, L. Shen, D. Andreucci,
S. Gurevich and H.E. Hamm) Diffusion of the Second
messengers in the Cytoplasm Acts as a Variability Suppressor of the
Single Photon response in Vertebrate Phototransduction
Biophysical Journal,
94(9):3363-3384 (2008)
- (with Xiao-Hong Wen, L. Shen, R. S. Brush, N. Michaud,
M.R. Al-Ubaidi, V. Gurevich, H.E. Hamm, J. Lem and
C.L. Makino) Over-Expression of Rhodopsin Alters the
Structure and Photoresponse of Rod Photoreceptors,
Biophysical Journal,
96(3):929-950, (2009)
- (with L. Shen, P. Bisegna, G. Caruso, D. Andreucci,
S. Gurevich and H.E. Hamm) Dynamics of Mouse Rod
Phototransduction and its Sensitivity to Variation of
Key parameters,
IET Systems Biology, 4(1), 2010, 12-32.
- (with Minchul Kang, Charles A Day, Kimberly R. Drake, and
Anne Kenworthy) A Generalization of Theory for 2D Fluorescence
Recovery after Photobleaching, Applicable to Confocal Laser
Scanning Microscopes,
Biophysical Journal,
97(5):1501-1511, (2009)
- (with U.Gianazza and V. Vespri)
Continuity of the Saturation in the Flow of two Immiscible
Fluids in a Porous Medium,
Indiana Univ. Math. Journal (in press)
- (with U.Gianazza and V. Vespri)
Alternative Forms of the Harnack Inequality for Non-Negative
Solutions to Certain Degenerate and Singular Parabolic
Equations Rend. Accad. Naz. Lincei,
20, (2009), 369-377,
- (with U.Gianazza and V. Vespri)
Harnack Type Estimates and Holder Continuity for
Non-Negative Solutions to Certain Sub-Critically Singular
Parabolic Partial Differential Equations
Manuscripta Mathematica 131, (2010), 231-245,
- (with U.Gianazza and V. Vespri)
A New Approach to the Expansion of the Positivity Set
of Non-Negative Solutions to Certain Singular Parabolic
Partial Differential Equations
Proc. AMS 138(10), (2010), 3521-3529,
- (with U.Gianazza and V. Vespri)
Liouville-Type Theorems for Certain Degenerate and Singular
Parabolic Equations
Comptes Rendus Acad.
des Sciences Paris
Ser.I, 348, (2010), 873-877.
- (with Minchul Kang, Charles Day, and A Kenworthy)
A quantitative approach to analyze
binding diffusion kinetics by confocal FRAP,
Biophysical Journal,
99(5):2737-2747,(2010).
- (with G. Caruso, P. Bisegna, L. Lenoci, D. Andreucci,
V. Gurevich and H.E. Hamm) Kinetics of Rhodopsin Deactivation
and Its Role in Regulating Recovery and Reproducibility of
Rod Photoresponse
PLoS Computational Biology 6(12), Dec. 12 2010,
1-15.
- (L. Lenoci, M. Duvernay, S. Satchell, and H.E. Hamm)
Mathematical Model of PAR1-Mediated Activation of
Platelets
Molecular BioSystems, 7(4), 2011,
1129-1137
- (with Minchul Kang, and A Kenworthy)
Proposed Correction to the Feder Equations (Feder TJ,
Brust-Mascher I, Slattery JP, Webb WW, 1996,
Biophys. J. 70(6):2767-73)
Biophysical Journal,
100(3), 2011 791--792.
- (with L. Lenoci and H.E. Hamm)
Identification of the Key Parameters in a Mathematical
Model of PAR1-Mediated Signaling in Endothelial Cells.
arXiv:1101.3215v1 [q-bio.MN].
- (with G. Caruso, P. Bisegna, L. Lenoci, D. Andreucci,
V. Gurevich and H.E. Hamm) Identification of key
factors that reduce the variability of the
single photon response,
PNAS 108(19), 2011, 7804-7807
- (with U. Gianazza and N. Liao), On the Local Behavior of
a Logarithmically Singular Equation,
Discrete and Continuous Dynamical Systems, 17(6), 2012,
1841-1858 (Invited paper for a Special Issue in
Honor of A. Friedman).
- (with U. Gianazza and N. Liao), Logarithmically Singular
Parabolic Equations as Limits of the Porous Medium Equation,
Non Linear Analysis TMA, 85(12), 2012, 4513-4533.
(Invited paper for a Special Issue in
honor of V. Lakshmikantham.) Published on line on
in http://dx.doi.org/10.1016/j.na.2012.01.001.
- (with C.L. Makino, Xiao-Hon Wen, N.A. Michaud, H.I. Covington,
H.E. Hamm and G. Caruso) Rhodopsin Expression Level Affects Rod Outer Segment
Morphology and Photoresponse Kinetics, PLoS One 7(7),
Issue 5, 2012, 1-7, a37832.
- M. Kang, C. A. Day, A. Kenworthy and E.DiBenedetto, Simplified
Equation to Extract Diffusion Coefficients from Confocal
FRAP Data, Traffic 13, 2012, 1589-1600
- (with U. Gianazza and N. Liao), Two Remarks on the Local
Behavior of Solutions to Logarithmically Singular Diffusion Equations
and its Porous-Medium Type Approximations,
Rivista di Matematica Univ. di Parma, 5(1),
2014, 139--182.
- (with U.Gianazza) A Wiener-type Condition for Boundary
Continuity of Quasi-Minima of Variational Integrals,
Manuscripta Mathematica, 149(3-4), 2016, 339-346;
DOI: 10.1007/s00229-015-0780-4.
- (with U.Gianazza and Colin Klaus) A Necessary
and Sufficient Condition for the Continuity of Local Minima
of Parabolic Variational Integrals with Linear Growth,
Advances in Calculus of
Variations, DOI::10.1515/acv-2015-0014. 10(3), (2017), 209-221.
- (with Colin Klaus, Khrisnan Raghunathan and Anne Kenworty) Analysis
of Diffusion in curved surfaces and its application to tubular membranes
Molecular Biology
of the Cell, DOI:10.1091/mbc.E16-06-0445.
- (with U.Gianazza) Some Properties of the DeGiorgi Classes
Rend. Ist. Mat. Univ. Trieste, 48, 2016, DOI:10.13137/0049-4704i;
- (with U.Gianazza and V. Vespri) Remarks on Local Boundedness
and Local H\"older Continuity of
Local Weak Solutions to Anisotropic p-Laplacian Equations,
Journal of of
Elliptic and Parabolic Equations, 2(1),
cale 017, 157-169. Online Jan 9 2017, DOI: 10.1007/BF03377399
- (with C. Klaus, G. Caruso and V. Gurevich) Multi-scale numerical
modeling of spatio-temporal signaling in cone phototransduction,
PLoS One
14(7): e0219848: htpps://doi.org/10.1371/journal.pone. e.0219848
- (with G. Caruso, V. Gurevich, C. Klaus, H.E. Hamm, C.L> Makino)
Local Non-linear effects of cGMP and Ca^2+, reduce Single Photon Variability in
Retinal Rods
PLoS One
14(12): e0225948: htpps://doi.org/10.1371/journal.pone. e.0225948
- (with G. Caruso, V. Gurevich, C. Klaus, H.E. Hamm, C.L> Makino)
Position of photon photoimerization on the disk surface confers variability
to the rising phase of the single photon response in rod phoreceptors,
PLoS One
14(10): e0240527: htpps://doi.org/10.1371/journal.pone. e.02040527
- (with G. Caruso, V. Gurevich, C. Klaus, H.E. Hamm, C.L> Makino)
Phototransduction in retinal cones: analysis of parameter importance
(to be submitted)
- (with G. Caruso, V. Gurevich, C. Klaus, H.E. Hamm, C.L> Makino)
Adaptation in Vertebrate Rod Photoreceptors (to be submitted)