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This study investigates electrochemotherapy by introducing a modified mathematical formulation that captures the effects of an applied DC electrical field on the penetration of chemotherapeutic drugs into tumorous cells. The model uses differential equations (second order) based on a cylindrical depiction of a blood vessel as the drug source. Drug concentration is treated as radially distributed at steady state, with the influence of the electrical field incorporated through an additional evaluation, and electroporation-driven tumor uptake modeled as a first-order chemical reaction. Nondimensionalization is applied to broaden applicability across scenarios, and a unique solution is proposed using the modified Bessel function. The resulting equations yield simulated predictions for drug penetration depth under varying applied electrical fields and the fraction of tumorous cells killed, with noted needs for improved linkage to tumor microenvironments and realistic electrical-field distributions.