Mathematical model for Plant-Insect interaction with dynamic response to PAD4-BIK1 interaction and effect of BIK1 inhibition.

Plant-insect interaction system is a widely studied model of the ecosystem. Numerical understanding of this counter system has developed from initial analogy based approach with a predator-prey model to its recent mathematical interpretation including plant immunity concept. In current work, we propose an extension to this model, including molecular interactions behind the plant defense system and its effect on ecological behaviour. Inspired from biomolecular interaction given by Louis and Shah in 2014, we propose here a mathematical model to depict molecular dependence and control of plant insect interaction system. Insect infestation mediated Botrytis Induced Kinase-1 (BIK1) induction resulted in inhibition of Phyto Alexin Deficient-4 (PAD4) protein. Lowered PAD4 triggers the plant defense mechanism, leading to degraded plant immune potential and thereby reducing the plant quality. We mathematically adapt these interactions to show their influence on plant-insect interaction system and hypothesize the significance of BIK1 inhibition leading to the improved plant quality. We implemented the plethora of computational modeling and all atom MD simulations to explain the Plant-Insect-PAD4-BIK1 interaction network and identify potential molecular mechanisms of plant improvement by BIK1 inhibition.