Abstract：
An adjoint-based methodology is proposed to compute the gradient of the outcomes of mathematical models for the coagulation cascade. The method is first exposed and validated by considering a simple, analytically tractable case involving only 3 species. Its potential is further illustrated by considering a detailed model for the extrinsic pathway involving 34 chemical species interacting through 45 chemical reactions and for which the gradient of Endogeneous Thrombin Potential, clotting time, maximum rate and peak value of thrombin with respect to the initial concentrations and reactions rates are computed. It is shown that the method produces gradients estimates that are fully consistent with the finite differences approximation used so far in the literature, but at a much lower computational cost.
摘要：
提出了一种基于伴随的方法来计算凝血级联数学模型结果的梯度。该方法首先通过考虑一个简单的、分析处理的案例仅涉及3个物种。通过考虑涉及34种化学物种通过45种化学反应相互作用的外在途径的详细模型，以及内源性凝血酶电位的梯度，进一步说明了其潜力。凝血时间,计算凝血酶相对于初始浓度和反应速率的最大速率和峰值。表明，该方法产生的梯度估计与文献中迄今为止使用的有限差分近似完全一致，但是计算成本要低得多。
