{'fraction_non_alphanumeric': 0.025034770514603615, 'fraction_numerical': 0.0, 'mean_word_length': 5.428571428571429, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Approximate Analytical Solution of Non-linear Kinetic Equation in a Porous Pellet

A mathematical model for immobilized enzyme system in porous spherical particles was developed. This model contains a non-linear term related to reversible Micahlies- Menten kinetics. Analytical expression pertaining to the substrate concentration was reported for all possible values of Thiele moduleφ , parameters c and k s . In this work, we report the theoretically evaluated steady-state concentration for immobilized enzyme systems in porous spherical particles for zero order, first order and second order reaction meacnisms. Herein we employ "Homotopy perturbation method" (HPM) to solve non-linear reaction /diffusion equation.