Mathematical Modeling to Investigate Antiarrhythmic Drug Side Effects: Rate-Dependence Role in Ionic Currents and Action Potentials Shape in the O’Hara Model

Sudden cardiac death due to ventricular arrhythmia is one of the leading causes of mortality in the world. In the last decades, it has proven that anti-arrhythmic drugs, which prolong the refractory period by means of prolongation of the cardiac action potential duration (APD), play a good role in preventing of relevant human arrhythmias. However, it has long been observed that the “class III antiarrhythmic effect” diminish at faster heart rates and that this phenomenon represent a big weakness, since it is the precise situation when arrhythmias are most prone to occur. It is well known that mathematical modeling is a useful tool for investigating cardiac cell behavior. In the last 60 years, a multitude of cardiac models has been created; from the pioneering work of Hodgkin and Huxley (1952), who first described the ionic currents of the squid giant axon quantitatively, mathematical modeling has made great strides. The O’Hara model, that I employed in this research work, is one of the modern computational models of ventricular myocyte, a new generation began in 1991 with ventricular cell model by Noble et al. Successful of these models is that you can generate novel predictions, suggest experiments and provide a quantitative understanding of underlying mechanism. Obviously, the drawback is that they remain simple models, they don’t represent the real system. The overall goal of this research is to give an additional tool, through mathematical modeling, to understand the behavior of the main ionic currents involved during the action potential (AP), especially underlining the differences between slower and faster heart rates. In particular to evaluate the rate-dependence role on the action potential duration, to implement a new method for interpreting ionic currents behavior after a perturbation effect and to verify the validity of the work proposed by Antonio Zaza using an injected current as a perturbing effect.

Sintesi di nuovi derivati tri-componente per target photodynamic therapy della neoplasia prostatica

Therapies for the treatment of prostate cancer show several limitations, especially when the cancer metastasizes or acquires resistance to treatment. In addition, most of the therapies currently used entails the occurrence of serious side effects. A different therapeutic approach, more selective and less invasive with respect either to radio or to chemotherapy, is represented by the photodynamic therapy (PDT). The PDT is a treatment that makes use of photosensitive drugs: these agents are pharmacologically inactive until they are irradiated with light at an appropriate wavelength and in the presence of oxygen. The drug, activated by light, forms singlet oxygen, a highly reactive chemical species directly responsible for DNA damage, thus of cell death. In this thesis we present two synthetic strategies for the preparation of two new tri-component derivatives for photodynamic therapy of advanced prostate cancer, namely DRPDT1 and DRPDT2. Both derivatives are formed by three basic elements covalently bounded to each other: a specific ligand with high affinity for the androgen receptor, a suitably chosen spacer molecule and a photoactivated molecule. In particular, DRPDT2 differs from DRPDT1 from the nature of the AR ligand. In fact, in the case of DRPDT2 we used a synthetically engineered androgen receptor ligand able to photo-react even in the absence of oxygen, by delivering NO radical. The presence of this additional pharmacophore, together with the porphyrin, may ensure an additive/synergistic effect to the photo-stimulated therapy, which than may act both in the presence of oxygen and in hypoxic conditions. This approach represents the first example of multimodal photodynamic therapy for prostate cancer.