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Orexinergic Neurotransmission in Temperature Responses to Methamphetamine and Stress: Mathematical Modeling as a Data Assimilation Approach
Authors:Abolhassan Behrouzvaziri  Daniel Fu  Patrick Tan  Yeonjoo Yoo  Maria V Zaretskaia  Daniel E Rusyniak  Yaroslav I Molkov  Dmitry V Zaretsky
Institution:1Department of Mathematical Sciences, Indiana University—Purdue University Indianapolis, Indianapolis, IN 46202, United States of America;2Park Tudor School, Indianapolis, IN 46240, United States of America;3Carmel High School, Carmel, IN 46032, United States of America;4Department of Emergency Medicine, Indiana University School of Medicine, Indianapolis, IN 46202, United States of America;Georgia State University, UNITED STATES
Abstract:

Experimental Data

Orexinergic neurotransmission is involved in mediating temperature responses to methamphetamine (Meth). In experiments in rats, SB-334867 (SB), an antagonist of orexin receptors (OX1R), at a dose of 10 mg/kg decreases late temperature responses (t>60 min) to an intermediate dose of Meth (5 mg/kg). A higher dose of SB (30 mg/kg) attenuates temperature responses to low dose (1 mg/kg) of Meth and to stress. In contrast, it significantly exaggerates early responses (t<60 min) to intermediate and high doses (5 and 10 mg/kg) of Meth. As pretreatment with SB also inhibits temperature response to the stress of injection, traditional statistical analysis of temperature responses is difficult.

Mathematical Modeling

We have developed a mathematical model that explains the complexity of temperature responses to Meth as the interplay between excitatory and inhibitory nodes. We have extended the developed model to include the stress of manipulations and the effects of SB. Stress is synergistic with Meth on the action on excitatory node. Orexin receptors mediate an activation of on both excitatory and inhibitory nodes by low doses of Meth, but not on the node activated by high doses (HD). Exaggeration of early responses to high doses of Meth involves disinhibition: low dose of SB decreases tonic inhibition of HD and lowers the activation threshold, while the higher dose suppresses the inhibitory component. Using a modeling approach to data assimilation appears efficient in separating individual components of complex response with statistical analysis unachievable by traditional data processing methods.
Keywords:
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