Publications
| [1] S. Baruffi, S. Spaggiari, P. Colli Franzone, S. Tentoni, C. Viganotti, B. Taccardi: Effects of cardiac anisotropy on spatial distribution of ventricular recovery potentials on isolated dog hearts, in Advances in Electrocardiology, Z. Antaloczy et al. (eds.), Elsevier Science Publisher, 63, (1990). |
| [2] P. Colli Franzone, L. Guerri, S. Rovida: Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations, J. Math. Biol., 28 (1990), 121-176. |
| [3] P. Colli Franzone, L. Guerri, S. Tentoni: Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotation on wavefront propagation and potential field, Math. Biosci., 101 (1990), 155-235. |
| [4] P. Colli Franzone, L. Guerri, S. Rovida, S. Tentoni : A model of excitation wavefronts spreading in the anisotropic cardiac tissue, in Nonlinear Wave Processes in Excitable Media, A.V. Holden, M. Markus, H.G. Othmer (eds.), 313-326 Plenum Press, New York, (1991) |
| [5] P. Colli Franzone, L. Guerri: Models of the spreading of excitation in myocardial tissue, in High Performance Computing in Biomedical Research, Pilkington TC. et al. (eds), CRC Press, Boca Raton (Fl), (1993) 359-404 and in Crit Rev Biomed Eng. 1992;20(3-4):211-53. |
| [6] P. Colli Franzone, L. Guerri: Spreading of excitation in 3-D models of the anisotropic cardiac tissue. Part I: Validation of the eikonal model, Math. Biosc., 113 (1993), 145-209 |
| [7] P. Colli Franzone, L. Guerri, B. Taccardi: Spread of excitation in a myocardial volume. Simulation studies in a model of anisotropic ventricular muscle activated by point stimulation, J. of Cardiovas. Electrophysiol., 4 (1993), 144-160 |
| [8] P. Colli Franzone, L. Guerri, B. Taccardi: Potential distributions generated by point stimulation in a myocardial volume. Simulation studies in a model of anisotropic ventricular muscle, J. of Cardiovas. Electrophysiol., 4 (1993), 438-458 |
| [9] P. Colli Franzone, L. Guerri, A. Meuli: Mathematical models of the excitation, in Boundary value problems for partial differential equations and applications, Baiocchi C., Lions J. L. (eds.), Research Notes in Applied Mathematics, Masson, Paris (1993) |
| [10] P. Colli Franzone, L. Guerri, M. Pennacchio: Simulation of the spread of excitation in the myocardial tissue, Biomedical and Life Physics, Dhanjoo N. Ghista (Ed.), Vieweg Verlag, 173-180, 1996. |
| [11] G. Bellettini, P. Colli Franzone and M. Paolini: Convergence of front propagation for anisotropic bistable reaction-diffusion equations Asymp. Anal., 15, 325-358, 1997. |
| [12] P. Colli Franzone, L. Guerri and M. Pennacchio: The forward problem: from myocardial activation to epicardial potentials. Electrocardiology 96, J. Liebman (Ed.), World Scientific, Singapore, 1997, 23-32. |
| [13] P. Colli Franzone, L. Guerri and M. Pennacchio: 3-D numerical simulations of the depolarization process. Electrocardiology 96, J. Liebman (Ed.), World Scientific, Singapore, 1997, 161-164. |
| [14] P. Colli Franzone, L. Guerri, M. Pennacchio: Activation and potential patterns in a 3-D model of ventricular wall in Biomedizinische Technik, 1997 vol. 42, Suppl.1 pag.9-12. |
| [15] P. Colli Franzone, L. Guerri, M. Pennacchio: Spreading of Excitation in 3-D Models of the Anisotropic Cardiac Tissue. II. Effect of Geometry and Fiber Architecture of the ventricular wall, Math. Biosci., 147,131-171 , 1998. |
| [16] P. Colli Franzone, L. Guerri, M. Pennacchio: Spread of Excitation in 3-D Models of the Anisotropic Cardiac Tissue. III. Effects of of Ventricular Geometry and Fiber Structure Architecture on the potential distribution , Math. Biosc., 151, 51-98, 1998. |
| [17]Taccardi, S. Veronese, P. Colli Franzone, L. Guerri: Multiple Components in the Unipolar Electrocardiogram: A simulation Study in a Three-dimensional Model of Ventricular Myocardium J. Cardiovasc. Electrophysiol.,9,1062-1084, 1998 |
| [18] M. Pennacchio, P. Colli Franzone, L. Guerri, B. Taccardi: An adaptive numerical technique applied to the integral representation of electrograms Theory and Mathematics in Biology and Medicine 1999 Vrije Universiteit Amsterdam, The Netherlands, June 29 - July 3, 1999, pag. 397-398 |
| [19] P. Colli Franzone, L. Guerri, M. Pennacchio: Mathematical models and problems in electrocardiology), Rend. Mat. Univ. Parma, 2 (6) 1999, 123-142. |
| [20] P. Colli Franzone, M. Pennacchio, L. Guerri: Accurate computation of electrograms in the left ventricular wall , Math. Models Methods Appl. Sci. MAS, 10,(4), 507-538, 2000. |
| [21] L. Ambrosio, P. Colli Franzone, G. Savaré: Gamma-Convergence of a Family of Anisotropic Functionals with Lack of Coercivity, Interface and Free Boundaries, 2, 213- 266, 2000. |
| [22] P. Colli Franzone, L. Guerri, M. Pennacchi: Bidomain and Eikonal-Curvature models for the Numerical Simulation of the Cardiac Activation Wavefronts , in Free Boundary Problems: Theory and Applications II, N. Kenmochi ed., Gakuto Int. Ser. Math. Sci. Appl., 14, 2000, 77-91 |
| [23] P. Colli Franzone, M. Pennacchio, L. Guerri, B. Taccardi: Anisotropic mechanisms for multiphasic unipolar eletrograms. Simulation studies and experimental recordings., Ann. Biomed. Eng. ,28, (11), 1326-1342, 2000 Biomed. Eng. 2000. |
| [24] P. Colli Franzone, L. Guerri, M. Pennacchio, B. Taccardi: Myocardial Anisotropy and Multiphasic Electrograms - Simulation study in a monoventricular model. Workshop CardioModel 2000 Models of the Heart: Theory and Clinical Application , Karlsruhe, September 14-15 2000. CD-ROM. |
| [25] M. Pennacchio, P. Colli Franzone, L. Guerri, B. Taccardi: A bidomain explanation of the multiple waveforms in electrograms.,in 2000 ELECTROCARDIOLOGY : XXVII International Congress on Electrocardiology June 27-July 1 2000, Milano.De Ambroggi (eds), 79-83, Casa Editrice Internazionale, 2001, Rome,Italy. |
| [26] B. Taccardi, P. Colli Franzone, B.B. Punske, Y. Vyhmeister: Relationships between epicardial, endocardial and intramural electrical activity. Role of myocardial structure., in 2000 ELECTROCARDIOLOGY : XXVII International Congress on Electrocardiology June 27-July 1 2000, Milano.De Ambroggi (eds), 67-72, Casa Editrice Internazionale, 2001, Rome,Italy. |
| [27] P. Colli Franzone, Ventricular Excitation: Wavefronts, Electrograms and Potential Patterns., in "Computer Simulation and Experimental Assessment of Cardiac Electrophysiology", L. Kappenberger, N. Virag (eds), Futura Publishing 2001 |
| [28] P. Colli Franzone, L. Guerri, B. Taccardi:On the polyphasic character of simulated and experimental electrograms, in Biomedizinische Technik, 2001 vol. 46, Suppl.2 pag. 16-19. |
| [29] P. Colli Franzone and G. Savaré: Degenerate evolution systems modeling cardiac electric field at micro and macroscopic, level Publ. I.A.N. n. 1007, in corso di stampa su "Evolution equations, Semigroups and Functional Analysis: in memory of Brunello Terreni", A. Lorenzi, B. Ruf editors, Birkhuser Verlag. |