A cell culture plate that includes an upper portion having at least one discrete chamber with a top edge and a bottom edge; a substantially flat lower portion, wherein at least one layer of polymer fibers has been deposited on the upper surface of the lower portion, and wherein the at least one layer of polymer fibers is conducive to the growth of biological cells thereon; and wherein the bottom edge of the at least one discrete chamber is hermetically sealed to the fiber-coated upper surface of the lower portion to form a well using adhesives, laser welding, or ultrasonic welding.