Diagnosis in the early stage of breast cancer is crucial for the onset of preliminary treatment. Non-radiative bioimpedance measurement in the microwave frequency range can contribute to electrode-medium interface error and the malaise of electrode placement on the patient to take measurements. These reasons account for alternate diagnosis procedure and improved reliability of retrieved mensuration. Non-invasive optical diagnosis in the near infra-red (NIR) and visible light of the electromagnetic range is the shifting paradigm for healthcare diagnosis. An accurate quantitative measurement is unparalleled to circumvent false positives. The focus of this paper is to perform quantitative mathematical analysis for bioimpedance and optical properties for sample breast cancer cells for meticulous interpretation of malignant cell diagnosis. The analytical solution of the Cole-Cole plot, relaxation frequency, and capacitance measurement showed reliability with previous experimental findings. The dissimilitude of the frequency-dependent refractive index measurement of the malignant and healthy cell can be used by clinicians for pronouncement. The diffusion theory is also used to interpret the pathlength of the source light particle and the absorption property of the malignant cell. The synergistic analytical solutions of the bioimpedance and optical parameters can be used by licensed Physicians or Clinical Practitioners (CP) to meticulously interpret the diagnosis result. The quantitative parameters obtained from the dispersed bandwidth range from microwave to visible light offers a comprehensive understanding of the biophysical properties of the malignant cell.

中文翻译：

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通过生物阻抗和光学特性的数学分析表征恶性细胞


乳腺癌的早期诊断对于开始初步治疗至关重要。微波频率范围内的非辐射生物阻抗测量可能会导致电极-介质界面误差以及电极放置在患者身上进行测量时的不适。这些原因解释了替代诊断程序和提高检索测量结果的可靠性。近红外 (NIR) 和电磁范围可见光的无创光学诊断是医疗保健诊断的转变范式。准确的定量测量对于避免误报是无与伦比的。本文的重点是对乳腺癌细胞样本的生物阻抗和光学特性进行定量数学分析，以细致地解释恶性细胞诊断。 Cole-Cole 图、弛豫频率和电容测量的解析解显示了先前实验结果的可靠性。临床医生可以利用恶性细胞和健康细胞的频率依赖性折射率测量的差异来进行判断。扩散理论还用于解释光源光粒子的路径长度和恶性细胞的吸收特性。生物阻抗和光学参数的协同分析解决方案可供执业医师或临床执业医师（CP）仔细解释诊断结果。从微波到可见光的分散带宽范围获得的定量参数提供了对恶性细胞的生物物理特性的全面了解。