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A mathematical model of interstitial fluid flow is developed, based on the application of the governing equations for fluid flow, i.e., the conservation laws for mass and momentum, to physiological systems containing solid tumors. The discretized form of the governing equations, with appropriate boundary conditions, is developed for a predefined tumor geometry. The interstitial fluid pressure and velocity are calculated using a numerical method, element based finite volume. Simulations of interstitial fluid transport in a homogeneous solid tumor demonstrate that, in a uniformly perfused tumor, i.e., one with no necrotic region, because of the interstitial pressure distribution, the distribution of drug particles is non-uniform. Pressure distribution for different values of necrotic radii is examined and two new parameters, the critical tumor radius and critical necrotic radius, are defined. Simulation results show that: 1) tumor radii have a critical size. Below this size, the maximum interstitial fluid pressure is less than what is generally considered to be effective pressure (a parameter determined by vascular pressure, plasma osmotic pressure, and interstitial osmotic pressure). Above this size, the maximum interstitial fluid pressure is equal to effective pressure. As a consequence, drugs transport to the center of smaller tumors is much easier than transport to the center of a tumor whose radius is greater than the critical tumor radius; 2) there is a critical necrotic radius, below which the interstitial fluid pressure at the tumor center is at its maximum value. If the tumor radius is greater than the critical tumor radius, this maximum pressure is equal to effective pressure. Above this critical necrotic radius, the interstitial fluid pressure at the tumor center is below effective pressure. In specific ranges of these critical sizes, drug amount and therefore therapeutic effects are higher because the opposing force, interstitial fluid pressure, is low in these ranges.

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Despite their relatively lower efficiency, nonviral approaches are emerging as safer alternatives in gene therapy to viral vectors. Delivery of nucleic acids to the target site is an important factor for effective gene expression (plasmid DNA) or knockdown (siRNA) with minimal side effects. Direct deposition at the target site by physical methods, including ultrasound, electroporation and gene gun, is one approach for local delivery. For less accessible sites, the development of carriers that can home into the target tissue is required. Cationic peptides, lipoplexes, polyplexes and nanoplexes have been used as carriers for delivery of nucleic acids. Targeting ligands, such as cell targeting peptides, have also been applied to decorate delivery vehicles in order to enhance their efficacy. This review focuses on delivery strategies and recent progress in non-viral carriers and their modifications to improve their performance in targeting and transfection.